/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 70 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), 1402 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 28 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1636 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 53 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 68 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 6 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1047 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 12 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 7549 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2345 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2369 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2348 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2348 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6255 ms]
        (56) 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(1(3(1(2(0(3(3(0(1(0(1(1(2(0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1))))))))))))))))))
   0(0(0(1(2(1(3(2(3(1(2(3(1(2(1(3(3(2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
   0(0(1(2(2(2(3(0(0(2(0(3(2(3(3(3(2(2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1))))))))))))))))))
   0(0(1(3(0(0(0(1(3(3(1(3(3(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
   0(0(2(3(0(2(1(2(2(1(0(2(3(3(0(3(3(1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1))))))))))))))))))
   0(1(0(2(2(0(3(3(0(2(1(2(3(3(1(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1))))))))))))))))))
   0(1(2(0(3(2(2(0(0(1(2(0(1(0(3(1(3(2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1))))))))))))))))))
   0(1(2(1(2(1(2(2(1(1(3(0(2(1(2(3(1(2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1))))))))))))))))))
   0(1(2(3(1(2(0(2(0(0(1(1(3(2(3(0(0(3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1))))))))))))))))))
   0(1(2(3(3(2(3(2(3(2(0(0(0(2(2(1(1(3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
   0(2(0(0(1(2(1(2(2(3(2(3(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1))))))))))))))))))
   0(2(1(2(0(2(1(3(3(3(1(0(1(3(3(1(1(2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
   0(2(1(3(2(1(2(2(0(0(2(0(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1))))))))))))))))))
   0(2(3(2(3(3(0(2(1(2(2(3(1(0(0(1(2(0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1))))))))))))))))))
   0(3(0(0(0(3(3(3(3(1(2(1(1(1(1(1(2(2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1))))))))))))))))))
   0(3(0(2(1(2(2(0(2(3(1(2(3(3(2(1(0(1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1))))))))))))))))))
   0(3(2(2(1(3(3(1(3(0(2(0(0(1(2(3(2(3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
   0(3(3(0(1(1(2(3(0(1(0(1(0(1(3(3(1(0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
   0(3(3(3(3(0(0(2(1(3(3(3(3(3(2(3(2(3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1))))))))))))))))))
   1(0(0(3(0(0(1(3(1(0(3(3(3(0(1(0(3(1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
   1(0(1(1(3(0(1(0(1(3(3(1(2(3(1(3(1(3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1))))))))))))))))))
   1(0(2(3(0(3(2(3(1(2(3(2(3(1(0(1(2(2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1))))))))))))))))))
   1(1(0(1(0(0(1(2(3(2(3(1(3(1(2(1(1(0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
   1(1(0(2(3(1(3(2(2(0(2(3(1(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1))))))))))))))))))
   1(1(1(0(1(2(3(2(3(2(3(0(2(3(0(1(1(2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1))))))))))))))))))
   1(1(2(1(2(2(3(2(2(3(1(1(2(1(0(2(3(0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
   1(1(2(3(1(3(1(1(2(2(1(3(1(3(1(0(0(1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1))))))))))))))))))
   1(2(0(0(0(0(0(2(3(0(2(0(1(2(2(1(1(2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1))))))))))))))))))
   1(2(0(0(2(0(0(2(2(2(3(3(0(1(1(1(0(2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
   1(2(0(1(2(3(3(3(0(2(3(1(2(1(3(2(3(2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
   1(2(1(1(0(2(1(0(1(1(3(2(1(3(3(1(2(1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
   1(2(1(1(1(0(1(3(3(1(2(2(1(1(0(1(1(1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1))))))))))))))))))
   1(2(2(1(1(2(1(2(3(2(1(3(1(0(0(0(1(1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
   1(2(2(3(3(1(3(3(1(3(2(1(2(0(0(0(2(3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(0(1(0(1(1(2(3(2(1(1(1(3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(3(1(3(0(0(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1))))))))))))))))))
   1(2(3(1(2(3(3(2(3(3(3(2(0(0(0(0(1(2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1))))))))))))))))))
   1(2(3(2(1(1(3(3(1(1(0(2(2(3(2(1(2(3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1))))))))))))))))))
   1(2(3(3(1(3(3(2(0(1(2(1(1(1(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1))))))))))))))))))
   1(3(1(2(2(1(0(1(0(3(2(1(2(3(1(2(3(1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
   1(3(3(0(1(1(1(1(2(0(1(2(2(0(1(1(0(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
   1(3(3(2(3(3(3(1(2(1(0(0(2(0(3(0(2(0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1))))))))))))))))))
   1(3(3(3(3(3(3(3(3(1(2(0(1(1(2(3(3(1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
   2(0(0(1(1(3(1(2(3(2(3(3(2(2(3(0(2(3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
   2(0(1(3(3(2(3(2(1(3(0(0(1(0(2(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1))))))))))))))))))
   2(1(0(0(1(3(2(2(0(0(0(2(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1))))))))))))))))))
   2(1(1(0(1(2(3(1(0(0(1(0(0(3(2(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
   2(1(2(0(2(0(0(1(2(0(2(0(3(2(3(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1))))))))))))))))))
   2(1(2(2(1(0(1(0(0(1(2(3(3(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
   2(1(3(3(3(3(0(2(2(2(0(1(0(1(0(2(1(3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1))))))))))))))))))
   2(2(0(1(1(1(2(1(2(1(0(2(3(3(0(0(1(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1))))))))))))))))))
   2(2(0(2(2(0(1(3(3(2(1(2(3(0(2(1(2(2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1))))))))))))))))))
   2(2(1(0(2(3(2(2(2(3(3(3(0(2(2(2(1(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1))))))))))))))))))
   2(2(2(2(2(3(0(2(2(2(1(2(1(1(0(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1))))))))))))))))))
   2(2(3(0(3(1(2(2(0(3(2(3(2(0(0(1(2(3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1))))))))))))))))))
   2(3(0(0(1(3(3(0(1(3(1(1(3(3(2(1(2(2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1))))))))))))))))))
   2(3(0(1(2(2(2(2(1(3(2(1(0(2(0(0(0(1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
   2(3(0(1(3(2(1(2(3(3(0(3(0(0(1(1(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1))))))))))))))))))
   2(3(0(2(2(3(1(0(2(2(3(0(1(0(0(0(0(1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
   2(3(1(2(0(0(0(1(1(1(1(1(1(0(1(1(1(1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
   2(3(2(1(2(1(0(2(0(2(1(1(0(3(1(2(1(3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1))))))))))))))))))
   2(3(2(2(1(2(1(2(3(2(0(2(0(3(0(1(1(0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1))))))))))))))))))
   2(3(2(3(1(0(3(3(3(3(1(2(2(2(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1))))))))))))))))))
   2(3(3(2(1(1(3(2(1(1(1(0(0(2(3(3(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
   2(3(3(2(1(2(3(0(2(0(0(2(0(2(0(2(1(2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
   2(3(3(3(1(2(0(1(1(1(3(3(1(3(1(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1))))))))))))))))))
   3(0(0(1(2(0(2(2(2(3(2(1(3(0(3(2(3(1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
   3(0(1(2(1(1(0(3(3(1(3(2(0(1(3(3(0(1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
   3(0(1(2(3(1(2(3(2(0(2(0(0(2(1(1(2(2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1))))))))))))))))))
   3(0(1(3(3(0(1(2(0(3(0(1(1(0(2(0(3(3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1))))))))))))))))))
   3(0(2(3(0(0(1(0(1(1(3(1(0(2(0(2(0(0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))
   3(0(3(0(1(2(1(1(2(1(1(0(1(2(3(1(0(1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1))))))))))))))))))
   3(1(0(0(1(2(2(2(1(2(3(0(0(1(3(0(3(0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1))))))))))))))))))
   3(1(1(0(1(2(0(2(1(2(2(3(1(2(0(2(0(2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
   3(1(3(3(2(1(3(1(0(0(2(2(2(0(2(2(0(3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1))))))))))))))))))
   3(2(1(2(1(2(2(2(2(3(3(2(0(0(2(2(1(2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
   3(2(3(2(0(1(2(2(0(2(2(2(1(2(3(2(3(2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
   3(3(2(2(0(0(0(1(0(2(2(2(3(3(2(3(0(3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1))))))))))))))))))
   3(3(3(0(0(2(3(3(1(0(1(3(3(0(0(2(0(0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
   3(3(3(0(2(3(3(0(3(1(2(2(3(2(3(0(0(2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(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))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_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(1(3(1(2(0(3(3(0(1(0(1(1(2(0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1))))))))))))))))))
   0(0(0(1(2(1(3(2(3(1(2(3(1(2(1(3(3(2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
   0(0(1(2(2(2(3(0(0(2(0(3(2(3(3(3(2(2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1))))))))))))))))))
   0(0(1(3(0(0(0(1(3(3(1(3(3(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
   0(0(2(3(0(2(1(2(2(1(0(2(3(3(0(3(3(1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1))))))))))))))))))
   0(1(0(2(2(0(3(3(0(2(1(2(3(3(1(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1))))))))))))))))))
   0(1(2(0(3(2(2(0(0(1(2(0(1(0(3(1(3(2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1))))))))))))))))))
   0(1(2(1(2(1(2(2(1(1(3(0(2(1(2(3(1(2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1))))))))))))))))))
   0(1(2(3(1(2(0(2(0(0(1(1(3(2(3(0(0(3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1))))))))))))))))))
   0(1(2(3(3(2(3(2(3(2(0(0(0(2(2(1(1(3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
   0(2(0(0(1(2(1(2(2(3(2(3(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1))))))))))))))))))
   0(2(1(2(0(2(1(3(3(3(1(0(1(3(3(1(1(2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
   0(2(1(3(2(1(2(2(0(0(2(0(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1))))))))))))))))))
   0(2(3(2(3(3(0(2(1(2(2(3(1(0(0(1(2(0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1))))))))))))))))))
   0(3(0(0(0(3(3(3(3(1(2(1(1(1(1(1(2(2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1))))))))))))))))))
   0(3(0(2(1(2(2(0(2(3(1(2(3(3(2(1(0(1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1))))))))))))))))))
   0(3(2(2(1(3(3(1(3(0(2(0(0(1(2(3(2(3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
   0(3(3(0(1(1(2(3(0(1(0(1(0(1(3(3(1(0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
   0(3(3(3(3(0(0(2(1(3(3(3(3(3(2(3(2(3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1))))))))))))))))))
   1(0(0(3(0(0(1(3(1(0(3(3(3(0(1(0(3(1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
   1(0(1(1(3(0(1(0(1(3(3(1(2(3(1(3(1(3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1))))))))))))))))))
   1(0(2(3(0(3(2(3(1(2(3(2(3(1(0(1(2(2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1))))))))))))))))))
   1(1(0(1(0(0(1(2(3(2(3(1(3(1(2(1(1(0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
   1(1(0(2(3(1(3(2(2(0(2(3(1(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1))))))))))))))))))
   1(1(1(0(1(2(3(2(3(2(3(0(2(3(0(1(1(2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1))))))))))))))))))
   1(1(2(1(2(2(3(2(2(3(1(1(2(1(0(2(3(0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
   1(1(2(3(1(3(1(1(2(2(1(3(1(3(1(0(0(1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1))))))))))))))))))
   1(2(0(0(0(0(0(2(3(0(2(0(1(2(2(1(1(2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1))))))))))))))))))
   1(2(0(0(2(0(0(2(2(2(3(3(0(1(1(1(0(2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
   1(2(0(1(2(3(3(3(0(2(3(1(2(1(3(2(3(2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
   1(2(1(1(0(2(1(0(1(1(3(2(1(3(3(1(2(1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
   1(2(1(1(1(0(1(3(3(1(2(2(1(1(0(1(1(1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1))))))))))))))))))
   1(2(2(1(1(2(1(2(3(2(1(3(1(0(0(0(1(1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
   1(2(2(3(3(1(3(3(1(3(2(1(2(0(0(0(2(3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(0(1(0(1(1(2(3(2(1(1(1(3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(3(1(3(0(0(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1))))))))))))))))))
   1(2(3(1(2(3(3(2(3(3(3(2(0(0(0(0(1(2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1))))))))))))))))))
   1(2(3(2(1(1(3(3(1(1(0(2(2(3(2(1(2(3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1))))))))))))))))))
   1(2(3(3(1(3(3(2(0(1(2(1(1(1(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1))))))))))))))))))
   1(3(1(2(2(1(0(1(0(3(2(1(2(3(1(2(3(1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
   1(3(3(0(1(1(1(1(2(0(1(2(2(0(1(1(0(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
   1(3(3(2(3(3(3(1(2(1(0(0(2(0(3(0(2(0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1))))))))))))))))))
   1(3(3(3(3(3(3(3(3(1(2(0(1(1(2(3(3(1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
   2(0(0(1(1(3(1(2(3(2(3(3(2(2(3(0(2(3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
   2(0(1(3(3(2(3(2(1(3(0(0(1(0(2(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1))))))))))))))))))
   2(1(0(0(1(3(2(2(0(0(0(2(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1))))))))))))))))))
   2(1(1(0(1(2(3(1(0(0(1(0(0(3(2(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
   2(1(2(0(2(0(0(1(2(0(2(0(3(2(3(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1))))))))))))))))))
   2(1(2(2(1(0(1(0(0(1(2(3(3(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
   2(1(3(3(3(3(0(2(2(2(0(1(0(1(0(2(1(3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1))))))))))))))))))
   2(2(0(1(1(1(2(1(2(1(0(2(3(3(0(0(1(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1))))))))))))))))))
   2(2(0(2(2(0(1(3(3(2(1(2(3(0(2(1(2(2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1))))))))))))))))))
   2(2(1(0(2(3(2(2(2(3(3(3(0(2(2(2(1(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1))))))))))))))))))
   2(2(2(2(2(3(0(2(2(2(1(2(1(1(0(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1))))))))))))))))))
   2(2(3(0(3(1(2(2(0(3(2(3(2(0(0(1(2(3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1))))))))))))))))))
   2(3(0(0(1(3(3(0(1(3(1(1(3(3(2(1(2(2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1))))))))))))))))))
   2(3(0(1(2(2(2(2(1(3(2(1(0(2(0(0(0(1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
   2(3(0(1(3(2(1(2(3(3(0(3(0(0(1(1(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1))))))))))))))))))
   2(3(0(2(2(3(1(0(2(2(3(0(1(0(0(0(0(1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
   2(3(1(2(0(0(0(1(1(1(1(1(1(0(1(1(1(1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
   2(3(2(1(2(1(0(2(0(2(1(1(0(3(1(2(1(3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1))))))))))))))))))
   2(3(2(2(1(2(1(2(3(2(0(2(0(3(0(1(1(0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1))))))))))))))))))
   2(3(2(3(1(0(3(3(3(3(1(2(2(2(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1))))))))))))))))))
   2(3(3(2(1(1(3(2(1(1(1(0(0(2(3(3(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
   2(3(3(2(1(2(3(0(2(0(0(2(0(2(0(2(1(2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
   2(3(3(3(1(2(0(1(1(1(3(3(1(3(1(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1))))))))))))))))))
   3(0(0(1(2(0(2(2(2(3(2(1(3(0(3(2(3(1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
   3(0(1(2(1(1(0(3(3(1(3(2(0(1(3(3(0(1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
   3(0(1(2(3(1(2(3(2(0(2(0(0(2(1(1(2(2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1))))))))))))))))))
   3(0(1(3(3(0(1(2(0(3(0(1(1(0(2(0(3(3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1))))))))))))))))))
   3(0(2(3(0(0(1(0(1(1(3(1(0(2(0(2(0(0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))
   3(0(3(0(1(2(1(1(2(1(1(0(1(2(3(1(0(1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1))))))))))))))))))
   3(1(0(0(1(2(2(2(1(2(3(0(0(1(3(0(3(0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1))))))))))))))))))
   3(1(1(0(1(2(0(2(1(2(2(3(1(2(0(2(0(2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
   3(1(3(3(2(1(3(1(0(0(2(2(2(0(2(2(0(3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1))))))))))))))))))
   3(2(1(2(1(2(2(2(2(3(3(2(0(0(2(2(1(2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
   3(2(3(2(0(1(2(2(0(2(2(2(1(2(3(2(3(2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
   3(3(2(2(0(0(0(1(0(2(2(2(3(3(2(3(0(3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1))))))))))))))))))
   3(3(3(0(0(2(3(3(1(0(1(3(3(0(0(2(0(0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
   3(3(3(0(2(3(3(0(3(1(2(2(3(2(3(0(0(2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(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))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_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(1(3(1(2(0(3(3(0(1(0(1(1(2(0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1))))))))))))))))))
   0(0(0(1(2(1(3(2(3(1(2(3(1(2(1(3(3(2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
   0(0(1(2(2(2(3(0(0(2(0(3(2(3(3(3(2(2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1))))))))))))))))))
   0(0(1(3(0(0(0(1(3(3(1(3(3(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
   0(0(2(3(0(2(1(2(2(1(0(2(3(3(0(3(3(1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1))))))))))))))))))
   0(1(0(2(2(0(3(3(0(2(1(2(3(3(1(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1))))))))))))))))))
   0(1(2(0(3(2(2(0(0(1(2(0(1(0(3(1(3(2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1))))))))))))))))))
   0(1(2(1(2(1(2(2(1(1(3(0(2(1(2(3(1(2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1))))))))))))))))))
   0(1(2(3(1(2(0(2(0(0(1(1(3(2(3(0(0(3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1))))))))))))))))))
   0(1(2(3(3(2(3(2(3(2(0(0(0(2(2(1(1(3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
   0(2(0(0(1(2(1(2(2(3(2(3(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1))))))))))))))))))
   0(2(1(2(0(2(1(3(3(3(1(0(1(3(3(1(1(2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
   0(2(1(3(2(1(2(2(0(0(2(0(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1))))))))))))))))))
   0(2(3(2(3(3(0(2(1(2(2(3(1(0(0(1(2(0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1))))))))))))))))))
   0(3(0(0(0(3(3(3(3(1(2(1(1(1(1(1(2(2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1))))))))))))))))))
   0(3(0(2(1(2(2(0(2(3(1(2(3(3(2(1(0(1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1))))))))))))))))))
   0(3(2(2(1(3(3(1(3(0(2(0(0(1(2(3(2(3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
   0(3(3(0(1(1(2(3(0(1(0(1(0(1(3(3(1(0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
   0(3(3(3(3(0(0(2(1(3(3(3(3(3(2(3(2(3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1))))))))))))))))))
   1(0(0(3(0(0(1(3(1(0(3(3(3(0(1(0(3(1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
   1(0(1(1(3(0(1(0(1(3(3(1(2(3(1(3(1(3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1))))))))))))))))))
   1(0(2(3(0(3(2(3(1(2(3(2(3(1(0(1(2(2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1))))))))))))))))))
   1(1(0(1(0(0(1(2(3(2(3(1(3(1(2(1(1(0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
   1(1(0(2(3(1(3(2(2(0(2(3(1(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1))))))))))))))))))
   1(1(1(0(1(2(3(2(3(2(3(0(2(3(0(1(1(2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1))))))))))))))))))
   1(1(2(1(2(2(3(2(2(3(1(1(2(1(0(2(3(0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
   1(1(2(3(1(3(1(1(2(2(1(3(1(3(1(0(0(1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1))))))))))))))))))
   1(2(0(0(0(0(0(2(3(0(2(0(1(2(2(1(1(2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1))))))))))))))))))
   1(2(0(0(2(0(0(2(2(2(3(3(0(1(1(1(0(2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
   1(2(0(1(2(3(3(3(0(2(3(1(2(1(3(2(3(2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
   1(2(1(1(0(2(1(0(1(1(3(2(1(3(3(1(2(1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
   1(2(1(1(1(0(1(3(3(1(2(2(1(1(0(1(1(1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1))))))))))))))))))
   1(2(2(1(1(2(1(2(3(2(1(3(1(0(0(0(1(1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
   1(2(2(3(3(1(3(3(1(3(2(1(2(0(0(0(2(3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(0(1(0(1(1(2(3(2(1(1(1(3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(3(1(3(0(0(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1))))))))))))))))))
   1(2(3(1(2(3(3(2(3(3(3(2(0(0(0(0(1(2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1))))))))))))))))))
   1(2(3(2(1(1(3(3(1(1(0(2(2(3(2(1(2(3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1))))))))))))))))))
   1(2(3(3(1(3(3(2(0(1(2(1(1(1(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1))))))))))))))))))
   1(3(1(2(2(1(0(1(0(3(2(1(2(3(1(2(3(1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
   1(3(3(0(1(1(1(1(2(0(1(2(2(0(1(1(0(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
   1(3(3(2(3(3(3(1(2(1(0(0(2(0(3(0(2(0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1))))))))))))))))))
   1(3(3(3(3(3(3(3(3(1(2(0(1(1(2(3(3(1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
   2(0(0(1(1(3(1(2(3(2(3(3(2(2(3(0(2(3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
   2(0(1(3(3(2(3(2(1(3(0(0(1(0(2(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1))))))))))))))))))
   2(1(0(0(1(3(2(2(0(0(0(2(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1))))))))))))))))))
   2(1(1(0(1(2(3(1(0(0(1(0(0(3(2(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
   2(1(2(0(2(0(0(1(2(0(2(0(3(2(3(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1))))))))))))))))))
   2(1(2(2(1(0(1(0(0(1(2(3(3(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
   2(1(3(3(3(3(0(2(2(2(0(1(0(1(0(2(1(3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1))))))))))))))))))
   2(2(0(1(1(1(2(1(2(1(0(2(3(3(0(0(1(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1))))))))))))))))))
   2(2(0(2(2(0(1(3(3(2(1(2(3(0(2(1(2(2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1))))))))))))))))))
   2(2(1(0(2(3(2(2(2(3(3(3(0(2(2(2(1(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1))))))))))))))))))
   2(2(2(2(2(3(0(2(2(2(1(2(1(1(0(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1))))))))))))))))))
   2(2(3(0(3(1(2(2(0(3(2(3(2(0(0(1(2(3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1))))))))))))))))))
   2(3(0(0(1(3(3(0(1(3(1(1(3(3(2(1(2(2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1))))))))))))))))))
   2(3(0(1(2(2(2(2(1(3(2(1(0(2(0(0(0(1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
   2(3(0(1(3(2(1(2(3(3(0(3(0(0(1(1(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1))))))))))))))))))
   2(3(0(2(2(3(1(0(2(2(3(0(1(0(0(0(0(1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
   2(3(1(2(0(0(0(1(1(1(1(1(1(0(1(1(1(1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
   2(3(2(1(2(1(0(2(0(2(1(1(0(3(1(2(1(3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1))))))))))))))))))
   2(3(2(2(1(2(1(2(3(2(0(2(0(3(0(1(1(0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1))))))))))))))))))
   2(3(2(3(1(0(3(3(3(3(1(2(2(2(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1))))))))))))))))))
   2(3(3(2(1(1(3(2(1(1(1(0(0(2(3(3(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
   2(3(3(2(1(2(3(0(2(0(0(2(0(2(0(2(1(2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
   2(3(3(3(1(2(0(1(1(1(3(3(1(3(1(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1))))))))))))))))))
   3(0(0(1(2(0(2(2(2(3(2(1(3(0(3(2(3(1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
   3(0(1(2(1(1(0(3(3(1(3(2(0(1(3(3(0(1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
   3(0(1(2(3(1(2(3(2(0(2(0(0(2(1(1(2(2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1))))))))))))))))))
   3(0(1(3(3(0(1(2(0(3(0(1(1(0(2(0(3(3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1))))))))))))))))))
   3(0(2(3(0(0(1(0(1(1(3(1(0(2(0(2(0(0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))
   3(0(3(0(1(2(1(1(2(1(1(0(1(2(3(1(0(1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1))))))))))))))))))
   3(1(0(0(1(2(2(2(1(2(3(0(0(1(3(0(3(0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1))))))))))))))))))
   3(1(1(0(1(2(0(2(1(2(2(3(1(2(0(2(0(2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
   3(1(3(3(2(1(3(1(0(0(2(2(2(0(2(2(0(3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1))))))))))))))))))
   3(2(1(2(1(2(2(2(2(3(3(2(0(0(2(2(1(2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
   3(2(3(2(0(1(2(2(0(2(2(2(1(2(3(2(3(2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
   3(3(2(2(0(0(0(1(0(2(2(2(3(3(2(3(0(3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1))))))))))))))))))
   3(3(3(0(0(2(3(3(1(0(1(3(3(0(0(2(0(0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
   3(3(3(0(2(3(3(0(3(1(2(2(3(2(3(0(0(2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(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))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_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(1(3(1(2(0(3(3(0(1(0(1(1(2(0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1))))))))))))))))))
   0(0(0(1(2(1(3(2(3(1(2(3(1(2(1(3(3(2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
   0(0(1(2(2(2(3(0(0(2(0(3(2(3(3(3(2(2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1))))))))))))))))))
   0(0(1(3(0(0(0(1(3(3(1(3(3(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
   0(0(2(3(0(2(1(2(2(1(0(2(3(3(0(3(3(1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1))))))))))))))))))
   0(1(0(2(2(0(3(3(0(2(1(2(3(3(1(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1))))))))))))))))))
   0(1(2(0(3(2(2(0(0(1(2(0(1(0(3(1(3(2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1))))))))))))))))))
   0(1(2(1(2(1(2(2(1(1(3(0(2(1(2(3(1(2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1))))))))))))))))))
   0(1(2(3(1(2(0(2(0(0(1(1(3(2(3(0(0(3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1))))))))))))))))))
   0(1(2(3(3(2(3(2(3(2(0(0(0(2(2(1(1(3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
   0(2(0(0(1(2(1(2(2(3(2(3(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1))))))))))))))))))
   0(2(1(2(0(2(1(3(3(3(1(0(1(3(3(1(1(2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
   0(2(1(3(2(1(2(2(0(0(2(0(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1))))))))))))))))))
   0(2(3(2(3(3(0(2(1(2(2(3(1(0(0(1(2(0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1))))))))))))))))))
   0(3(0(0(0(3(3(3(3(1(2(1(1(1(1(1(2(2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1))))))))))))))))))
   0(3(0(2(1(2(2(0(2(3(1(2(3(3(2(1(0(1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1))))))))))))))))))
   0(3(2(2(1(3(3(1(3(0(2(0(0(1(2(3(2(3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
   0(3(3(0(1(1(2(3(0(1(0(1(0(1(3(3(1(0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
   0(3(3(3(3(0(0(2(1(3(3(3(3(3(2(3(2(3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1))))))))))))))))))
   1(0(0(3(0(0(1(3(1(0(3(3(3(0(1(0(3(1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
   1(0(1(1(3(0(1(0(1(3(3(1(2(3(1(3(1(3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1))))))))))))))))))
   1(0(2(3(0(3(2(3(1(2(3(2(3(1(0(1(2(2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1))))))))))))))))))
   1(1(0(1(0(0(1(2(3(2(3(1(3(1(2(1(1(0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
   1(1(0(2(3(1(3(2(2(0(2(3(1(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1))))))))))))))))))
   1(1(1(0(1(2(3(2(3(2(3(0(2(3(0(1(1(2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1))))))))))))))))))
   1(1(2(1(2(2(3(2(2(3(1(1(2(1(0(2(3(0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
   1(1(2(3(1(3(1(1(2(2(1(3(1(3(1(0(0(1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1))))))))))))))))))
   1(2(0(0(0(0(0(2(3(0(2(0(1(2(2(1(1(2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1))))))))))))))))))
   1(2(0(0(2(0(0(2(2(2(3(3(0(1(1(1(0(2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
   1(2(0(1(2(3(3(3(0(2(3(1(2(1(3(2(3(2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
   1(2(1(1(0(2(1(0(1(1(3(2(1(3(3(1(2(1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
   1(2(1(1(1(0(1(3(3(1(2(2(1(1(0(1(1(1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1))))))))))))))))))
   1(2(2(1(1(2(1(2(3(2(1(3(1(0(0(0(1(1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
   1(2(2(3(3(1(3(3(1(3(2(1(2(0(0(0(2(3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(0(1(0(1(1(2(3(2(1(1(1(3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(3(1(3(0(0(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1))))))))))))))))))
   1(2(3(1(2(3(3(2(3(3(3(2(0(0(0(0(1(2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1))))))))))))))))))
   1(2(3(2(1(1(3(3(1(1(0(2(2(3(2(1(2(3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1))))))))))))))))))
   1(2(3(3(1(3(3(2(0(1(2(1(1(1(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1))))))))))))))))))
   1(3(1(2(2(1(0(1(0(3(2(1(2(3(1(2(3(1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
   1(3(3(0(1(1(1(1(2(0(1(2(2(0(1(1(0(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
   1(3(3(2(3(3(3(1(2(1(0(0(2(0(3(0(2(0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1))))))))))))))))))
   1(3(3(3(3(3(3(3(3(1(2(0(1(1(2(3(3(1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
   2(0(0(1(1(3(1(2(3(2(3(3(2(2(3(0(2(3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
   2(0(1(3(3(2(3(2(1(3(0(0(1(0(2(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1))))))))))))))))))
   2(1(0(0(1(3(2(2(0(0(0(2(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1))))))))))))))))))
   2(1(1(0(1(2(3(1(0(0(1(0(0(3(2(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
   2(1(2(0(2(0(0(1(2(0(2(0(3(2(3(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1))))))))))))))))))
   2(1(2(2(1(0(1(0(0(1(2(3(3(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
   2(1(3(3(3(3(0(2(2(2(0(1(0(1(0(2(1(3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1))))))))))))))))))
   2(2(0(1(1(1(2(1(2(1(0(2(3(3(0(0(1(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1))))))))))))))))))
   2(2(0(2(2(0(1(3(3(2(1(2(3(0(2(1(2(2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1))))))))))))))))))
   2(2(1(0(2(3(2(2(2(3(3(3(0(2(2(2(1(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1))))))))))))))))))
   2(2(2(2(2(3(0(2(2(2(1(2(1(1(0(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1))))))))))))))))))
   2(2(3(0(3(1(2(2(0(3(2(3(2(0(0(1(2(3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1))))))))))))))))))
   2(3(0(0(1(3(3(0(1(3(1(1(3(3(2(1(2(2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1))))))))))))))))))
   2(3(0(1(2(2(2(2(1(3(2(1(0(2(0(0(0(1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
   2(3(0(1(3(2(1(2(3(3(0(3(0(0(1(1(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1))))))))))))))))))
   2(3(0(2(2(3(1(0(2(2(3(0(1(0(0(0(0(1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
   2(3(1(2(0(0(0(1(1(1(1(1(1(0(1(1(1(1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
   2(3(2(1(2(1(0(2(0(2(1(1(0(3(1(2(1(3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1))))))))))))))))))
   2(3(2(2(1(2(1(2(3(2(0(2(0(3(0(1(1(0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1))))))))))))))))))
   2(3(2(3(1(0(3(3(3(3(1(2(2(2(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1))))))))))))))))))
   2(3(3(2(1(1(3(2(1(1(1(0(0(2(3(3(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
   2(3(3(2(1(2(3(0(2(0(0(2(0(2(0(2(1(2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
   2(3(3(3(1(2(0(1(1(1(3(3(1(3(1(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1))))))))))))))))))
   3(0(0(1(2(0(2(2(2(3(2(1(3(0(3(2(3(1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
   3(0(1(2(1(1(0(3(3(1(3(2(0(1(3(3(0(1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
   3(0(1(2(3(1(2(3(2(0(2(0(0(2(1(1(2(2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1))))))))))))))))))
   3(0(1(3(3(0(1(2(0(3(0(1(1(0(2(0(3(3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1))))))))))))))))))
   3(0(2(3(0(0(1(0(1(1(3(1(0(2(0(2(0(0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))
   3(0(3(0(1(2(1(1(2(1(1(0(1(2(3(1(0(1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1))))))))))))))))))
   3(1(0(0(1(2(2(2(1(2(3(0(0(1(3(0(3(0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1))))))))))))))))))
   3(1(1(0(1(2(0(2(1(2(2(3(1(2(0(2(0(2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
   3(1(3(3(2(1(3(1(0(0(2(2(2(0(2(2(0(3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1))))))))))))))))))
   3(2(1(2(1(2(2(2(2(3(3(2(0(0(2(2(1(2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
   3(2(3(2(0(1(2(2(0(2(2(2(1(2(3(2(3(2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
   3(3(2(2(0(0(0(1(0(2(2(2(3(3(2(3(0(3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1))))))))))))))))))
   3(3(3(0(0(2(3(3(1(0(1(3(3(0(0(2(0(0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
   3(3(3(0(2(3(3(0(3(1(2(2(3(2(3(0(0(2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(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))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_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(1(3(1(2(0(3(3(0(1(0(1(1(2(0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1))))))))))))))))))
   0(0(0(1(2(1(3(2(3(1(2(3(1(2(1(3(3(2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
   0(0(1(2(2(2(3(0(0(2(0(3(2(3(3(3(2(2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1))))))))))))))))))
   0(0(1(3(0(0(0(1(3(3(1(3(3(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
   0(0(2(3(0(2(1(2(2(1(0(2(3(3(0(3(3(1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1))))))))))))))))))
   0(1(0(2(2(0(3(3(0(2(1(2(3(3(1(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1))))))))))))))))))
   0(1(2(0(3(2(2(0(0(1(2(0(1(0(3(1(3(2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1))))))))))))))))))
   0(1(2(1(2(1(2(2(1(1(3(0(2(1(2(3(1(2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1))))))))))))))))))
   0(1(2(3(1(2(0(2(0(0(1(1(3(2(3(0(0(3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1))))))))))))))))))
   0(1(2(3(3(2(3(2(3(2(0(0(0(2(2(1(1(3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
   0(2(0(0(1(2(1(2(2(3(2(3(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1))))))))))))))))))
   0(2(1(2(0(2(1(3(3(3(1(0(1(3(3(1(1(2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
   0(2(1(3(2(1(2(2(0(0(2(0(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1))))))))))))))))))
   0(2(3(2(3(3(0(2(1(2(2(3(1(0(0(1(2(0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1))))))))))))))))))
   0(3(0(0(0(3(3(3(3(1(2(1(1(1(1(1(2(2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1))))))))))))))))))
   0(3(0(2(1(2(2(0(2(3(1(2(3(3(2(1(0(1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1))))))))))))))))))
   0(3(2(2(1(3(3(1(3(0(2(0(0(1(2(3(2(3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
   0(3(3(0(1(1(2(3(0(1(0(1(0(1(3(3(1(0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
   0(3(3(3(3(0(0(2(1(3(3(3(3(3(2(3(2(3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1))))))))))))))))))
   1(0(0(3(0(0(1(3(1(0(3(3(3(0(1(0(3(1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
   1(0(1(1(3(0(1(0(1(3(3(1(2(3(1(3(1(3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1))))))))))))))))))
   1(0(2(3(0(3(2(3(1(2(3(2(3(1(0(1(2(2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1))))))))))))))))))
   1(1(0(1(0(0(1(2(3(2(3(1(3(1(2(1(1(0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
   1(1(0(2(3(1(3(2(2(0(2(3(1(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1))))))))))))))))))
   1(1(1(0(1(2(3(2(3(2(3(0(2(3(0(1(1(2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1))))))))))))))))))
   1(1(2(1(2(2(3(2(2(3(1(1(2(1(0(2(3(0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
   1(1(2(3(1(3(1(1(2(2(1(3(1(3(1(0(0(1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1))))))))))))))))))
   1(2(0(0(0(0(0(2(3(0(2(0(1(2(2(1(1(2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1))))))))))))))))))
   1(2(0(0(2(0(0(2(2(2(3(3(0(1(1(1(0(2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
   1(2(0(1(2(3(3(3(0(2(3(1(2(1(3(2(3(2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
   1(2(1(1(0(2(1(0(1(1(3(2(1(3(3(1(2(1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
   1(2(1(1(1(0(1(3(3(1(2(2(1(1(0(1(1(1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1))))))))))))))))))
   1(2(2(1(1(2(1(2(3(2(1(3(1(0(0(0(1(1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
   1(2(2(3(3(1(3(3(1(3(2(1(2(0(0(0(2(3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(0(1(0(1(1(2(3(2(1(1(1(3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(3(1(3(0(0(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1))))))))))))))))))
   1(2(3(1(2(3(3(2(3(3(3(2(0(0(0(0(1(2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1))))))))))))))))))
   1(2(3(2(1(1(3(3(1(1(0(2(2(3(2(1(2(3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1))))))))))))))))))
   1(2(3(3(1(3(3(2(0(1(2(1(1(1(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1))))))))))))))))))
   1(3(1(2(2(1(0(1(0(3(2(1(2(3(1(2(3(1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
   1(3(3(0(1(1(1(1(2(0(1(2(2(0(1(1(0(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
   1(3(3(2(3(3(3(1(2(1(0(0(2(0(3(0(2(0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1))))))))))))))))))
   1(3(3(3(3(3(3(3(3(1(2(0(1(1(2(3(3(1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
   2(0(0(1(1(3(1(2(3(2(3(3(2(2(3(0(2(3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
   2(0(1(3(3(2(3(2(1(3(0(0(1(0(2(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1))))))))))))))))))
   2(1(0(0(1(3(2(2(0(0(0(2(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1))))))))))))))))))
   2(1(1(0(1(2(3(1(0(0(1(0(0(3(2(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
   2(1(2(0(2(0(0(1(2(0(2(0(3(2(3(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1))))))))))))))))))
   2(1(2(2(1(0(1(0(0(1(2(3(3(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
   2(1(3(3(3(3(0(2(2(2(0(1(0(1(0(2(1(3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1))))))))))))))))))
   2(2(0(1(1(1(2(1(2(1(0(2(3(3(0(0(1(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1))))))))))))))))))
   2(2(0(2(2(0(1(3(3(2(1(2(3(0(2(1(2(2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1))))))))))))))))))
   2(2(1(0(2(3(2(2(2(3(3(3(0(2(2(2(1(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1))))))))))))))))))
   2(2(2(2(2(3(0(2(2(2(1(2(1(1(0(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1))))))))))))))))))
   2(2(3(0(3(1(2(2(0(3(2(3(2(0(0(1(2(3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1))))))))))))))))))
   2(3(0(0(1(3(3(0(1(3(1(1(3(3(2(1(2(2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1))))))))))))))))))
   2(3(0(1(2(2(2(2(1(3(2(1(0(2(0(0(0(1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
   2(3(0(1(3(2(1(2(3(3(0(3(0(0(1(1(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1))))))))))))))))))
   2(3(0(2(2(3(1(0(2(2(3(0(1(0(0(0(0(1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
   2(3(1(2(0(0(0(1(1(1(1(1(1(0(1(1(1(1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
   2(3(2(1(2(1(0(2(0(2(1(1(0(3(1(2(1(3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1))))))))))))))))))
   2(3(2(2(1(2(1(2(3(2(0(2(0(3(0(1(1(0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1))))))))))))))))))
   2(3(2(3(1(0(3(3(3(3(1(2(2(2(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1))))))))))))))))))
   2(3(3(2(1(1(3(2(1(1(1(0(0(2(3(3(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
   2(3(3(2(1(2(3(0(2(0(0(2(0(2(0(2(1(2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
   2(3(3(3(1(2(0(1(1(1(3(3(1(3(1(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1))))))))))))))))))
   3(0(0(1(2(0(2(2(2(3(2(1(3(0(3(2(3(1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
   3(0(1(2(1(1(0(3(3(1(3(2(0(1(3(3(0(1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
   3(0(1(2(3(1(2(3(2(0(2(0(0(2(1(1(2(2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1))))))))))))))))))
   3(0(1(3(3(0(1(2(0(3(0(1(1(0(2(0(3(3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1))))))))))))))))))
   3(0(2(3(0(0(1(0(1(1(3(1(0(2(0(2(0(0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))
   3(0(3(0(1(2(1(1(2(1(1(0(1(2(3(1(0(1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1))))))))))))))))))
   3(1(0(0(1(2(2(2(1(2(3(0(0(1(3(0(3(0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1))))))))))))))))))
   3(1(1(0(1(2(0(2(1(2(2(3(1(2(0(2(0(2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
   3(1(3(3(2(1(3(1(0(0(2(2(2(0(2(2(0(3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1))))))))))))))))))
   3(2(1(2(1(2(2(2(2(3(3(2(0(0(2(2(1(2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
   3(2(3(2(0(1(2(2(0(2(2(2(1(2(3(2(3(2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
   3(3(2(2(0(0(0(1(0(2(2(2(3(3(2(3(0(3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1))))))))))))))))))
   3(3(3(0(0(2(3(3(1(0(1(3(3(0(0(2(0(0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
   3(3(3(0(2(3(3(0(3(1(2(2(3(2(3(0(0(2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(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))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_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(1(3(1(2(0(3(3(0(1(0(1(1(2(0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1))))))))))))))))))
0(0(0(1(2(1(3(2(3(1(2(3(1(2(1(3(3(2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
0(0(1(2(2(2(3(0(0(2(0(3(2(3(3(3(2(2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1))))))))))))))))))
0(0(1(3(0(0(0(1(3(3(1(3(3(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
0(0(2(3(0(2(1(2(2(1(0(2(3(3(0(3(3(1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1))))))))))))))))))
0(1(0(2(2(0(3(3(0(2(1(2(3(3(1(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1))))))))))))))))))
0(1(2(0(3(2(2(0(0(1(2(0(1(0(3(1(3(2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1))))))))))))))))))
0(1(2(1(2(1(2(2(1(1(3(0(2(1(2(3(1(2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1))))))))))))))))))
0(1(2(3(1(2(0(2(0(0(1(1(3(2(3(0(0(3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1))))))))))))))))))
0(1(2(3(3(2(3(2(3(2(0(0(0(2(2(1(1(3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
0(2(0(0(1(2(1(2(2(3(2(3(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1))))))))))))))))))
0(2(1(2(0(2(1(3(3(3(1(0(1(3(3(1(1(2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
0(2(1(3(2(1(2(2(0(0(2(0(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1))))))))))))))))))
0(2(3(2(3(3(0(2(1(2(2(3(1(0(0(1(2(0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1))))))))))))))))))
0(3(0(0(0(3(3(3(3(1(2(1(1(1(1(1(2(2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1))))))))))))))))))
0(3(0(2(1(2(2(0(2(3(1(2(3(3(2(1(0(1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1))))))))))))))))))
0(3(2(2(1(3(3(1(3(0(2(0(0(1(2(3(2(3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
0(3(3(0(1(1(2(3(0(1(0(1(0(1(3(3(1(0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
0(3(3(3(3(0(0(2(1(3(3(3(3(3(2(3(2(3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1))))))))))))))))))
1(0(0(3(0(0(1(3(1(0(3(3(3(0(1(0(3(1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
1(0(1(1(3(0(1(0(1(3(3(1(2(3(1(3(1(3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1))))))))))))))))))
1(0(2(3(0(3(2(3(1(2(3(2(3(1(0(1(2(2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1))))))))))))))))))
1(1(0(1(0(0(1(2(3(2(3(1(3(1(2(1(1(0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
1(1(0(2(3(1(3(2(2(0(2(3(1(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1))))))))))))))))))
1(1(1(0(1(2(3(2(3(2(3(0(2(3(0(1(1(2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1))))))))))))))))))
1(1(2(1(2(2(3(2(2(3(1(1(2(1(0(2(3(0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
1(1(2(3(1(3(1(1(2(2(1(3(1(3(1(0(0(1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1))))))))))))))))))
1(2(0(0(0(0(0(2(3(0(2(0(1(2(2(1(1(2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1))))))))))))))))))
1(2(0(0(2(0(0(2(2(2(3(3(0(1(1(1(0(2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
1(2(0(1(2(3(3(3(0(2(3(1(2(1(3(2(3(2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
1(2(1(1(0(2(1(0(1(1(3(2(1(3(3(1(2(1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
1(2(1(1(1(0(1(3(3(1(2(2(1(1(0(1(1(1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1))))))))))))))))))
1(2(2(1(1(2(1(2(3(2(1(3(1(0(0(0(1(1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
1(2(2(3(3(1(3(3(1(3(2(1(2(0(0(0(2(3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1))))))))))))))))))
1(2(3(1(1(3(0(1(0(1(1(2(3(2(1(1(1(3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
1(2(3(1(1(3(3(1(3(0(0(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1))))))))))))))))))
1(2(3(1(2(3(3(2(3(3(3(2(0(0(0(0(1(2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1))))))))))))))))))
1(2(3(2(1(1(3(3(1(1(0(2(2(3(2(1(2(3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1))))))))))))))))))
1(2(3(3(1(3(3(2(0(1(2(1(1(1(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1))))))))))))))))))
1(3(1(2(2(1(0(1(0(3(2(1(2(3(1(2(3(1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
1(3(3(0(1(1(1(1(2(0(1(2(2(0(1(1(0(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
1(3(3(2(3(3(3(1(2(1(0(0(2(0(3(0(2(0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1))))))))))))))))))
1(3(3(3(3(3(3(3(3(1(2(0(1(1(2(3(3(1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
2(0(0(1(1(3(1(2(3(2(3(3(2(2(3(0(2(3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
2(0(1(3(3(2(3(2(1(3(0(0(1(0(2(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1))))))))))))))))))
2(1(0(0(1(3(2(2(0(0(0(2(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1))))))))))))))))))
2(1(1(0(1(2(3(1(0(0(1(0(0(3(2(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
2(1(2(0(2(0(0(1(2(0(2(0(3(2(3(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1))))))))))))))))))
2(1(2(2(1(0(1(0(0(1(2(3(3(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
2(1(3(3(3(3(0(2(2(2(0(1(0(1(0(2(1(3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1))))))))))))))))))
2(2(0(1(1(1(2(1(2(1(0(2(3(3(0(0(1(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1))))))))))))))))))
2(2(0(2(2(0(1(3(3(2(1(2(3(0(2(1(2(2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1))))))))))))))))))
2(2(1(0(2(3(2(2(2(3(3(3(0(2(2(2(1(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1))))))))))))))))))
2(2(2(2(2(3(0(2(2(2(1(2(1(1(0(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1))))))))))))))))))
2(2(3(0(3(1(2(2(0(3(2(3(2(0(0(1(2(3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1))))))))))))))))))
2(3(0(0(1(3(3(0(1(3(1(1(3(3(2(1(2(2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1))))))))))))))))))
2(3(0(1(2(2(2(2(1(3(2(1(0(2(0(0(0(1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
2(3(0(1(3(2(1(2(3(3(0(3(0(0(1(1(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1))))))))))))))))))
2(3(0(2(2(3(1(0(2(2(3(0(1(0(0(0(0(1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
2(3(1(2(0(0(0(1(1(1(1(1(1(0(1(1(1(1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
2(3(2(1(2(1(0(2(0(2(1(1(0(3(1(2(1(3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1))))))))))))))))))
2(3(2(2(1(2(1(2(3(2(0(2(0(3(0(1(1(0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1))))))))))))))))))
2(3(2(3(1(0(3(3(3(3(1(2(2(2(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1))))))))))))))))))
2(3(3(2(1(1(3(2(1(1(1(0(0(2(3(3(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
2(3(3(2(1(2(3(0(2(0(0(2(0(2(0(2(1(2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
2(3(3(3(1(2(0(1(1(1(3(3(1(3(1(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1))))))))))))))))))
3(0(0(1(2(0(2(2(2(3(2(1(3(0(3(2(3(1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
3(0(1(2(1(1(0(3(3(1(3(2(0(1(3(3(0(1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
3(0(1(2(3(1(2(3(2(0(2(0(0(2(1(1(2(2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1))))))))))))))))))
3(0(1(3(3(0(1(2(0(3(0(1(1(0(2(0(3(3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1))))))))))))))))))
3(0(2(3(0(0(1(0(1(1(3(1(0(2(0(2(0(0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))
3(0(3(0(1(2(1(1(2(1(1(0(1(2(3(1(0(1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1))))))))))))))))))
3(1(0(0(1(2(2(2(1(2(3(0(0(1(3(0(3(0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1))))))))))))))))))
3(1(1(0(1(2(0(2(1(2(2(3(1(2(0(2(0(2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
3(1(3(3(2(1(3(1(0(0(2(2(2(0(2(2(0(3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1))))))))))))))))))
3(2(1(2(1(2(2(2(2(3(3(2(0(0(2(2(1(2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
3(2(3(2(0(1(2(2(0(2(2(2(1(2(3(2(3(2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
3(3(2(2(0(0(0(1(0(2(2(2(3(3(2(3(0(3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1))))))))))))))))))
3(3(3(0(0(2(3(3(1(0(1(3(3(0(0(2(0(0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
3(3(3(0(2(3(3(0(3(1(2(2(3(2(3(0(0(2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(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))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
1 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
3 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
2 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
hole_0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_21_4 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3

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

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

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

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

(12)
Obligation:
TRS:
Rules:
0(0(0(1(1(3(1(2(0(3(3(0(1(0(1(1(2(0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1))))))))))))))))))
0(0(0(1(2(1(3(2(3(1(2(3(1(2(1(3(3(2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
0(0(1(2(2(2(3(0(0(2(0(3(2(3(3(3(2(2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1))))))))))))))))))
0(0(1(3(0(0(0(1(3(3(1(3(3(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
0(0(2(3(0(2(1(2(2(1(0(2(3(3(0(3(3(1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1))))))))))))))))))
0(1(0(2(2(0(3(3(0(2(1(2(3(3(1(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1))))))))))))))))))
0(1(2(0(3(2(2(0(0(1(2(0(1(0(3(1(3(2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1))))))))))))))))))
0(1(2(1(2(1(2(2(1(1(3(0(2(1(2(3(1(2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1))))))))))))))))))
0(1(2(3(1(2(0(2(0(0(1(1(3(2(3(0(0(3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1))))))))))))))))))
0(1(2(3(3(2(3(2(3(2(0(0(0(2(2(1(1(3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
0(2(0(0(1(2(1(2(2(3(2(3(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1))))))))))))))))))
0(2(1(2(0(2(1(3(3(3(1(0(1(3(3(1(1(2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
0(2(1(3(2(1(2(2(0(0(2(0(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1))))))))))))))))))
0(2(3(2(3(3(0(2(1(2(2(3(1(0(0(1(2(0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1))))))))))))))))))
0(3(0(0(0(3(3(3(3(1(2(1(1(1(1(1(2(2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1))))))))))))))))))
0(3(0(2(1(2(2(0(2(3(1(2(3(3(2(1(0(1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1))))))))))))))))))
0(3(2(2(1(3(3(1(3(0(2(0(0(1(2(3(2(3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
0(3(3(0(1(1(2(3(0(1(0(1(0(1(3(3(1(0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
0(3(3(3(3(0(0(2(1(3(3(3(3(3(2(3(2(3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1))))))))))))))))))
1(0(0(3(0(0(1(3(1(0(3(3(3(0(1(0(3(1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
1(0(1(1(3(0(1(0(1(3(3(1(2(3(1(3(1(3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1))))))))))))))))))
1(0(2(3(0(3(2(3(1(2(3(2(3(1(0(1(2(2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1))))))))))))))))))
1(1(0(1(0(0(1(2(3(2(3(1(3(1(2(1(1(0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
1(1(0(2(3(1(3(2(2(0(2(3(1(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1))))))))))))))))))
1(1(1(0(1(2(3(2(3(2(3(0(2(3(0(1(1(2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1))))))))))))))))))
1(1(2(1(2(2(3(2(2(3(1(1(2(1(0(2(3(0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
1(1(2(3(1(3(1(1(2(2(1(3(1(3(1(0(0(1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1))))))))))))))))))
1(2(0(0(0(0(0(2(3(0(2(0(1(2(2(1(1(2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1))))))))))))))))))
1(2(0(0(2(0(0(2(2(2(3(3(0(1(1(1(0(2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
1(2(0(1(2(3(3(3(0(2(3(1(2(1(3(2(3(2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
1(2(1(1(0(2(1(0(1(1(3(2(1(3(3(1(2(1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
1(2(1(1(1(0(1(3(3(1(2(2(1(1(0(1(1(1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1))))))))))))))))))
1(2(2(1(1(2(1(2(3(2(1(3(1(0(0(0(1(1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
1(2(2(3(3(1(3(3(1(3(2(1(2(0(0(0(2(3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1))))))))))))))))))
1(2(3(1(1(3(0(1(0(1(1(2(3(2(1(1(1(3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
1(2(3(1(1(3(3(1(3(0(0(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1))))))))))))))))))
1(2(3(1(2(3(3(2(3(3(3(2(0(0(0(0(1(2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1))))))))))))))))))
1(2(3(2(1(1(3(3(1(1(0(2(2(3(2(1(2(3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1))))))))))))))))))
1(2(3(3(1(3(3(2(0(1(2(1(1(1(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1))))))))))))))))))
1(3(1(2(2(1(0(1(0(3(2(1(2(3(1(2(3(1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
1(3(3(0(1(1(1(1(2(0(1(2(2(0(1(1(0(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
1(3(3(2(3(3(3(1(2(1(0(0(2(0(3(0(2(0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1))))))))))))))))))
1(3(3(3(3(3(3(3(3(1(2(0(1(1(2(3(3(1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
2(0(0(1(1(3(1(2(3(2(3(3(2(2(3(0(2(3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
2(0(1(3(3(2(3(2(1(3(0(0(1(0(2(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1))))))))))))))))))
2(1(0(0(1(3(2(2(0(0(0(2(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1))))))))))))))))))
2(1(1(0(1(2(3(1(0(0(1(0(0(3(2(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
2(1(2(0(2(0(0(1(2(0(2(0(3(2(3(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1))))))))))))))))))
2(1(2(2(1(0(1(0(0(1(2(3(3(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
2(1(3(3(3(3(0(2(2(2(0(1(0(1(0(2(1(3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1))))))))))))))))))
2(2(0(1(1(1(2(1(2(1(0(2(3(3(0(0(1(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1))))))))))))))))))
2(2(0(2(2(0(1(3(3(2(1(2(3(0(2(1(2(2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1))))))))))))))))))
2(2(1(0(2(3(2(2(2(3(3(3(0(2(2(2(1(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1))))))))))))))))))
2(2(2(2(2(3(0(2(2(2(1(2(1(1(0(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1))))))))))))))))))
2(2(3(0(3(1(2(2(0(3(2(3(2(0(0(1(2(3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1))))))))))))))))))
2(3(0(0(1(3(3(0(1(3(1(1(3(3(2(1(2(2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1))))))))))))))))))
2(3(0(1(2(2(2(2(1(3(2(1(0(2(0(0(0(1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
2(3(0(1(3(2(1(2(3(3(0(3(0(0(1(1(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1))))))))))))))))))
2(3(0(2(2(3(1(0(2(2(3(0(1(0(0(0(0(1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
2(3(1(2(0(0(0(1(1(1(1(1(1(0(1(1(1(1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
2(3(2(1(2(1(0(2(0(2(1(1(0(3(1(2(1(3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1))))))))))))))))))
2(3(2(2(1(2(1(2(3(2(0(2(0(3(0(1(1(0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1))))))))))))))))))
2(3(2(3(1(0(3(3(3(3(1(2(2(2(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1))))))))))))))))))
2(3(3(2(1(1(3(2(1(1(1(0(0(2(3(3(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
2(3(3(2(1(2(3(0(2(0(0(2(0(2(0(2(1(2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
2(3(3(3(1(2(0(1(1(1(3(3(1(3(1(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1))))))))))))))))))
3(0(0(1(2(0(2(2(2(3(2(1(3(0(3(2(3(1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
3(0(1(2(1(1(0(3(3(1(3(2(0(1(3(3(0(1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
3(0(1(2(3(1(2(3(2(0(2(0(0(2(1(1(2(2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1))))))))))))))))))
3(0(1(3(3(0(1(2(0(3(0(1(1(0(2(0(3(3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1))))))))))))))))))
3(0(2(3(0(0(1(0(1(1(3(1(0(2(0(2(0(0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))
3(0(3(0(1(2(1(1(2(1(1(0(1(2(3(1(0(1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1))))))))))))))))))
3(1(0(0(1(2(2(2(1(2(3(0(0(1(3(0(3(0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1))))))))))))))))))
3(1(1(0(1(2(0(2(1(2(2(3(1(2(0(2(0(2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
3(1(3(3(2(1(3(1(0(0(2(2(2(0(2(2(0(3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1))))))))))))))))))
3(2(1(2(1(2(2(2(2(3(3(2(0(0(2(2(1(2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
3(2(3(2(0(1(2(2(0(2(2(2(1(2(3(2(3(2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
3(3(2(2(0(0(0(1(0(2(2(2(3(3(2(3(0(3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1))))))))))))))))))
3(3(3(0(0(2(3(3(1(0(1(3(3(0(0(2(0(0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
3(3(3(0(2(3(3(0(3(1(2(2(3(2(3(0(0(2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(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))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
1 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
3 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
2 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
hole_0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_21_4 :: 0:2:1:3:encArg:encode_0:encode_1:encode_3:encode_2
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3


Generator Equations:
gen_cons_0:cons_1:cons_2:cons_33_4(0) <=> hole_cons_0:cons_1:cons_2:cons_32_4
gen_cons_0:cons_1:cons_2:cons_33_4(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_2:cons_33_4(x))


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

They will be analysed ascendingly in the following order:
0 = 1
0 = 3
0 = 2
0 < encArg
1 = 3
1 = 2
1 < encArg
3 = 2
3 < 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(1(3(1(2(0(3(3(0(1(0(1(1(2(0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1))))))))))))))))))
   0(0(0(1(2(1(3(2(3(1(2(3(1(2(1(3(3(2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
   0(0(1(2(2(2(3(0(0(2(0(3(2(3(3(3(2(2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1))))))))))))))))))
   0(0(1(3(0(0(0(1(3(3(1(3(3(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
   0(0(2(3(0(2(1(2(2(1(0(2(3(3(0(3(3(1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1))))))))))))))))))
   0(1(0(2(2(0(3(3(0(2(1(2(3(3(1(3(1(2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1))))))))))))))))))
   0(1(2(0(3(2(2(0(0(1(2(0(1(0(3(1(3(2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1))))))))))))))))))
   0(1(2(1(2(1(2(2(1(1(3(0(2(1(2(3(1(2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1))))))))))))))))))
   0(1(2(3(1(2(0(2(0(0(1(1(3(2(3(0(0(3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1))))))))))))))))))
   0(1(2(3(3(2(3(2(3(2(0(0(0(2(2(1(1(3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
   0(2(0(0(1(2(1(2(2(3(2(3(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1))))))))))))))))))
   0(2(1(2(0(2(1(3(3(3(1(0(1(3(3(1(1(2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
   0(2(1(3(2(1(2(2(0(0(2(0(2(1(2(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1))))))))))))))))))
   0(2(3(2(3(3(0(2(1(2(2(3(1(0(0(1(2(0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1))))))))))))))))))
   0(3(0(0(0(3(3(3(3(1(2(1(1(1(1(1(2(2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1))))))))))))))))))
   0(3(0(2(1(2(2(0(2(3(1(2(3(3(2(1(0(1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1))))))))))))))))))
   0(3(2(2(1(3(3(1(3(0(2(0(0(1(2(3(2(3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
   0(3(3(0(1(1(2(3(0(1(0(1(0(1(3(3(1(0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
   0(3(3(3(3(0(0(2(1(3(3(3(3(3(2(3(2(3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1))))))))))))))))))
   1(0(0(3(0(0(1(3(1(0(3(3(3(0(1(0(3(1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
   1(0(1(1(3(0(1(0(1(3(3(1(2(3(1(3(1(3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1))))))))))))))))))
   1(0(2(3(0(3(2(3(1(2(3(2(3(1(0(1(2(2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1))))))))))))))))))
   1(1(0(1(0(0(1(2(3(2(3(1(3(1(2(1(1(0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
   1(1(0(2(3(1(3(2(2(0(2(3(1(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1))))))))))))))))))
   1(1(1(0(1(2(3(2(3(2(3(0(2(3(0(1(1(2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1))))))))))))))))))
   1(1(2(1(2(2(3(2(2(3(1(1(2(1(0(2(3(0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
   1(1(2(3(1(3(1(1(2(2(1(3(1(3(1(0(0(1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1))))))))))))))))))
   1(2(0(0(0(0(0(2(3(0(2(0(1(2(2(1(1(2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1))))))))))))))))))
   1(2(0(0(2(0(0(2(2(2(3(3(0(1(1(1(0(2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
   1(2(0(1(2(3(3(3(0(2(3(1(2(1(3(2(3(2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
   1(2(1(1(0(2(1(0(1(1(3(2(1(3(3(1(2(1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
   1(2(1(1(1(0(1(3(3(1(2(2(1(1(0(1(1(1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1))))))))))))))))))
   1(2(2(1(1(2(1(2(3(2(1(3(1(0(0(0(1(1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
   1(2(2(3(3(1(3(3(1(3(2(1(2(0(0(0(2(3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(0(1(0(1(1(2(3(2(1(1(1(3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
   1(2(3(1(1(3(3(1(3(0(0(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1))))))))))))))))))
   1(2(3(1(2(3(3(2(3(3(3(2(0(0(0(0(1(2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1))))))))))))))))))
   1(2(3(2(1(1(3(3(1(1(0(2(2(3(2(1(2(3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1))))))))))))))))))
   1(2(3(3(1(3(3(2(0(1(2(1(1(1(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1))))))))))))))))))
   1(3(1(2(2(1(0(1(0(3(2(1(2(3(1(2(3(1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
   1(3(3(0(1(1(1(1(2(0(1(2(2(0(1(1(0(0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
   1(3(3(2(3(3(3(1(2(1(0(0(2(0(3(0(2(0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1))))))))))))))))))
   1(3(3(3(3(3(3(3(3(1(2(0(1(1(2(3(3(1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
   2(0(0(1(1(3(1(2(3(2(3(3(2(2(3(0(2(3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
   2(0(1(3(3(2(3(2(1(3(0(0(1(0(2(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1))))))))))))))))))
   2(1(0(0(1(3(2(2(0(0(0(2(3(0(3(3(1(2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1))))))))))))))))))
   2(1(1(0(1(2(3(1(0(0(1(0(0(3(2(3(1(1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
   2(1(2(0(2(0(0(1(2(0(2(0(3(2(3(0(0(2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1))))))))))))))))))
   2(1(2(2(1(0(1(0(0(1(2(3(3(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
   2(1(3(3(3(3(0(2(2(2(0(1(0(1(0(2(1(3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1))))))))))))))))))
   2(2(0(1(1(1(2(1(2(1(0(2(3(3(0(0(1(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1))))))))))))))))))
   2(2(0(2(2(0(1(3(3(2(1(2(3(0(2(1(2(2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1))))))))))))))))))
   2(2(1(0(2(3(2(2(2(3(3(3(0(2(2(2(1(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1))))))))))))))))))
   2(2(2(2(2(3(0(2(2(2(1(2(1(1(0(2(2(2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1))))))))))))))))))
   2(2(3(0(3(1(2(2(0(3(2(3(2(0(0(1(2(3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1))))))))))))))))))
   2(3(0(0(1(3(3(0(1(3(1(1(3(3(2(1(2(2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1))))))))))))))))))
   2(3(0(1(2(2(2(2(1(3(2(1(0(2(0(0(0(1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
   2(3(0(1(3(2(1(2(3(3(0(3(0(0(1(1(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1))))))))))))))))))
   2(3(0(2(2(3(1(0(2(2(3(0(1(0(0(0(0(1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
   2(3(1(2(0(0(0(1(1(1(1(1(1(0(1(1(1(1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
   2(3(2(1(2(1(0(2(0(2(1(1(0(3(1(2(1(3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1))))))))))))))))))
   2(3(2(2(1(2(1(2(3(2(0(2(0(3(0(1(1(0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1))))))))))))))))))
   2(3(2(3(1(0(3(3(3(3(1(2(2(2(0(1(3(2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1))))))))))))))))))
   2(3(3(2(1(1(3(2(1(1(1(0(0(2(3(3(2(2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
   2(3(3(2(1(2(3(0(2(0(0(2(0(2(0(2(1(2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
   2(3(3(3(1(2(0(1(1(1(3(3(1(3(1(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1))))))))))))))))))
   3(0(0(1(2(0(2(2(2(3(2(1(3(0(3(2(3(1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
   3(0(1(2(1(1(0(3(3(1(3(2(0(1(3(3(0(1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
   3(0(1(2(3(1(2(3(2(0(2(0(0(2(1(1(2(2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1))))))))))))))))))
   3(0(1(3(3(0(1(2(0(3(0(1(1(0(2(0(3(3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1))))))))))))))))))
   3(0(2(3(0(0(1(0(1(1(3(1(0(2(0(2(0(0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))
   3(0(3(0(1(2(1(1(2(1(1(0(1(2(3(1(0(1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1))))))))))))))))))
   3(1(0(0(1(2(2(2(1(2(3(0(0(1(3(0(3(0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1))))))))))))))))))
   3(1(1(0(1(2(0(2(1(2(2(3(1(2(0(2(0(2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
   3(1(3(3(2(1(3(1(0(0(2(2(2(0(2(2(0(3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1))))))))))))))))))
   3(2(1(2(1(2(2(2(2(3(3(2(0(0(2(2(1(2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
   3(2(3(2(0(1(2(2(0(2(2(2(1(2(3(2(3(2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
   3(3(2(2(0(0(0(1(0(2(2(2(3(3(2(3(0(3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1))))))))))))))))))
   3(3(3(0(0(2(3(3(1(0(1(3(3(0(0(2(0(0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
   3(3(3(0(2(3(3(0(3(1(2(2(3(2(3(0(0(2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(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))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_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:

   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
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   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
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   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
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   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
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   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
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   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
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   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
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   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
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   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(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:

   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1))))))))))))))))))
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1))))))))))))))))))
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(x1))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1))))))))))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(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:

   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(x1)))))))))))))))))) [1]
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(x1)))))))))))))))))) [1]
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(x1)))))))))))))))))) [1]
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x1)))))))))))))))))) [1]
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(x1)))))))))))))))))) [1]
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(x1)))))))))))))))))) [1]
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(x1)))))))))))))))))) [1]
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(x1)))))))))))))))))) [1]
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(x1)))))))))))))))))) [1]
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(x1)))))))))))))))))) [1]
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(x1)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(x1)))))))))))))))))) [1]
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(x1)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(x1)))))))))))))))))) [1]
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(x1)))))))))))))))))) [1]
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(x1)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(x1)))))))))))))))))) [1]
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(x1)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(x1)))))))))))))))))) [1]
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(x1)))))))))))))))))) [1]
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(x1)))))))))))))))))) [1]
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(x1)))))))))))))))))) [1]
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(x1)))))))))))))))))) [1]
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(x1)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(x1)))))))))))))))))) [1]
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(x1)))))))))))))))))) [1]
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(x1)))))))))))))))))) [1]
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(x1)))))))))))))))))) [1]
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(x1)))))))))))))))))) [1]
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(x1)))))))))))))))))) [1]
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(x1)))))))))))))))))) [1]
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(x1)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(x1)))))))))))))))))) [1]
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(x1)))))))))))))))))) [1]
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(x1)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(x1)))))))))))))))))) [1]
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(x1)))))))))))))))))) [1]
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(x1)))))))))))))))))) [1]
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(x1)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(x1)))))))))))))))))) [1]
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(x1)))))))))))))))))) [1]
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(x1)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(x1)))))))))))))))))) [1]
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(x1)))))))))))))))))) [1]
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(x1)))))))))))))))))) [1]
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(x1)))))))))))))))))) [1]
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(x1)))))))))))))))))) [1]
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(x1)))))))))))))))))) [1]
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(x1)))))))))))))))))) [1]
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(x1)))))))))))))))))) [1]
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(x1)))))))))))))))))) [1]
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(x1)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(x1)))))))))))))))))) [1]
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(x1)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(x1)))))))))))))))))) [1]
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(x1)))))))))))))))))) [1]
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(x1)))))))))))))))))) [1]
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(x1)))))))))))))))))) [1]
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(x1)))))))))))))))))) [1]
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(x1)))))))))))))))))) [1]
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(x1)))))))))))))))))) [1]
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(x1)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(x1)))))))))))))))))) [1]
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3(encArg(x_1)) [0]
   encode_0(x_1) -> 0(encArg(x_1)) [0]
   encode_1(x_1) -> 1(encArg(x_1)) [0]
   encode_3(x_1) -> 3(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]
   3(x0) -> c_3(x0) [0]

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

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

3 => 3'
2 => 2'
1 => 1'
0 => 0'

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

(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:

   3'(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(1'(0'(1'(1'(1'(1'(1'(3'(2'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(1'(0'(3'(2'(1'(1'(3'(2'(0'(1'(3'(1'(2'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(1'(3'(3'(1'(3'(1'(3'(1'(1'(0'(0'(0'(0'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 0'(3'(1'(2'(0'(0'(2'(3'(1'(3'(2'(3'(1'(1'(1'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(3'(1'(3'(1'(1'(2'(0'(3'(2'(0'(1'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(3'(1'(3'(1'(2'(0'(2'(1'(3'(1'(0'(2'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(0'(1'(3'(1'(1'(3'(1'(3'(2'(2'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(2'(1'(3'(1'(0'(0'(3'(3'(0'(1'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(x1)))))))))))))))))) -> 1'(0'(1'(3'(1'(2'(1'(0'(3'(2'(0'(1'(1'(3'(2'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(x1)))))))))))))))))) [1]
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   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(3'(3'(1'(3'(3'(3'(3'(3'(2'(2'(3'(3'(3'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 2'(1'(3'(1'(0'(3'(2'(2'(3'(2'(2'(0'(1'(3'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(1'(0'(3'(1'(3'(3'(3'(0'(0'(1'(1'(3'(0'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(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]
   3'(x0) -> c_3(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:

   3'(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(1'(0'(1'(1'(1'(1'(1'(3'(2'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(1'(0'(3'(2'(1'(1'(3'(2'(0'(1'(3'(1'(2'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(1'(3'(3'(1'(3'(1'(3'(1'(1'(0'(0'(0'(0'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 0'(3'(1'(2'(0'(0'(2'(3'(1'(3'(2'(3'(1'(1'(1'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(3'(1'(3'(1'(1'(2'(0'(3'(2'(0'(1'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(3'(1'(3'(1'(2'(0'(2'(1'(3'(1'(0'(2'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(0'(1'(3'(1'(1'(3'(1'(3'(2'(2'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(2'(1'(3'(1'(0'(0'(3'(3'(0'(1'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(x1)))))))))))))))))) -> 1'(0'(1'(3'(1'(2'(1'(0'(3'(2'(0'(1'(1'(3'(2'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(2'(3'(1'(0'(3'(1'(1'(3'(0'(0'(3'(2'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(3'(2'(1'(1'(3'(0'(3'(1'(0'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(0'(3'(1'(0'(2'(2'(2'(2'(2'(0'(3'(1'(3'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(x1)))))))))))))))))) -> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(3'(1'(1'(3'(3'(3'(1'(2'(1'(3'(1'(1'(3'(0'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(3'(3'(2'(2'(2'(1'(1'(2'(0'(0'(1'(1'(2'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(1'(0'(3'(2'(2'(0'(0'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 2'(0'(3'(1'(1'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(2'(0'(2'(2'(3'(1'(1'(1'(1'(3'(0'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(2'(3'(1'(0'(1'(3'(0'(3'(0'(2'(2'(0'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2'(2'(0'(0'(0'(0'(3'(0'(3'(2'(3'(2'(2'(1'(1'(0'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(x1)))))))))))))))))) -> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))) -> 0'(3'(0'(3'(0'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(2'(0'(3'(3'(1'(1'(2'(2'(1'(0'(3'(0'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1'(2'(1'(1'(3'(2'(0'(1'(0'(1'(1'(1'(1'(3'(2'(2'(3'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2'(2'(1'(1'(0'(3'(2'(0'(0'(0'(2'(1'(3'(2'(0'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(0'(3'(3'(2'(0'(2'(3'(3'(1'(0'(2'(2'(2'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(2'(2'(2'(0'(2'(1'(0'(3'(1'(1'(0'(0'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(3'(1'(0'(2'(0'(2'(1'(3'(0'(2'(0'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(0'(3'(2'(1'(3'(1'(0'(0'(3'(2'(1'(3'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 1'(0'(3'(0'(3'(0'(1'(2'(3'(2'(1'(0'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(0'(2'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(0'(3'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(1'(3'(3'(3'(0'(0'(2'(2'(2'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(x1)))))))))))))))))) -> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2'(3'(2'(2'(0'(2'(1'(1'(2'(3'(2'(0'(3'(0'(2'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 0'(1'(3'(2'(2'(1'(0'(3'(1'(2'(0'(2'(0'(0'(1'(0'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))) -> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(0'(3'(1'(3'(1'(3'(3'(1'(2'(2'(1'(3'(2'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(x1)))))))))))))))))) -> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 1'(0'(3'(1'(3'(0'(1'(3'(1'(1'(3'(0'(0'(3'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(2'(3'(3'(3'(2'(2'(2'(0'(0'(3'(1'(0'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(1'(0'(0'(2'(3'(3'(2'(3'(2'(0'(1'(1'(1'(1'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(2'(1'(0'(2'(1'(1'(3'(2'(1'(1'(0'(3'(0'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 1'(1'(3'(3'(3'(0'(3'(2'(0'(2'(3'(1'(2'(2'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(3'(3'(3'(1'(2'(1'(2'(3'(2'(0'(2'(0'(2'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(2'(0'(0'(3'(1'(3'(3'(1'(2'(2'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(2'(2'(3'(1'(0'(2'(0'(3'(0'(0'(3'(2'(3'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(0'(3'(1'(1'(1'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(1'(1'(1'(3'(2'(2'(1'(2'(1'(3'(1'(1'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 1'(0'(1'(3'(0'(3'(0'(1'(3'(1'(1'(3'(1'(3'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(1'(3'(1'(3'(0'(2'(2'(2'(1'(3'(3'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(0'(0'(2'(2'(3'(2'(1'(1'(1'(2'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(0'(3'(1'(3'(2'(2'(3'(2'(0'(2'(1'(3'(2'(0'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 1'(0'(0'(1'(1'(2'(2'(2'(1'(2'(0'(3'(3'(2'(0'(0'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(3'(1'(0'(3'(1'(2'(3'(3'(2'(0'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(3'(3'(1'(3'(3'(3'(3'(3'(2'(2'(3'(3'(3'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 2'(1'(3'(1'(0'(3'(2'(2'(3'(2'(2'(0'(1'(3'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(1'(0'(3'(1'(3'(3'(3'(0'(0'(1'(1'(3'(0'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(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]
   3'(x0) -> c_3(x0) [0]

The TRS has the following type information:
3' :: c_2:c_3:c_1:c_0 -> c_2:c_3:c_1:c_0
c_2 :: c_2:c_3:c_1:c_0 -> c_2:c_3:c_1:c_0
c_3 :: c_2:c_3:c_1:c_0 -> c_2:c_3:c_1:c_0
c_0 :: c_2:c_3:c_1:c_0 -> c_2:c_3:c_1:c_0
c_1 :: c_2:c_3:c_1:c_0 -> c_2:c_3:c_1:c_0
0' :: c_2:c_3:c_1:c_0 -> c_2:c_3:c_1:c_0
2' :: c_2:c_3:c_1:c_0 -> c_2:c_3:c_1:c_0
1' :: c_2:c_3:c_1:c_0 -> c_2:c_3:c_1:c_0
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3: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_3_1
   encode_2_1
   0'_1
   1'_1
   2'_1
   3'_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(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:

   3'(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(1'(0'(1'(1'(1'(1'(1'(3'(2'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(1'(0'(3'(2'(1'(1'(3'(2'(0'(1'(3'(1'(2'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(1'(3'(3'(1'(3'(1'(3'(1'(1'(0'(0'(0'(0'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 0'(3'(1'(2'(0'(0'(2'(3'(1'(3'(2'(3'(1'(1'(1'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(3'(1'(3'(1'(1'(2'(0'(3'(2'(0'(1'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(3'(1'(3'(1'(2'(0'(2'(1'(3'(1'(0'(2'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(2'(2'(1'(1'(0'(1'(3'(1'(1'(3'(1'(3'(2'(2'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(2'(1'(3'(1'(0'(0'(3'(3'(0'(1'(3'(0'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(x1)))))))))))))))))) -> 1'(0'(1'(3'(1'(2'(1'(0'(3'(2'(0'(1'(1'(3'(2'(1'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(0'(2'(3'(1'(0'(3'(1'(1'(3'(0'(0'(3'(2'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(3'(2'(1'(1'(3'(0'(3'(1'(0'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(0'(3'(1'(0'(2'(2'(2'(2'(2'(0'(3'(1'(3'(2'(2'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(x1)))))))))))))))))) -> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(3'(1'(1'(3'(3'(3'(1'(2'(1'(3'(1'(1'(3'(0'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(3'(3'(2'(2'(2'(1'(1'(2'(0'(0'(1'(1'(2'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(x1)))))))))))))))))) -> 0'(1'(2'(0'(0'(2'(1'(1'(0'(3'(2'(2'(0'(0'(1'(2'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 2'(0'(3'(1'(1'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))) -> 0'(2'(2'(0'(2'(2'(3'(1'(1'(1'(1'(3'(0'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(2'(3'(1'(0'(1'(3'(0'(3'(0'(2'(2'(0'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2'(2'(0'(0'(0'(0'(3'(0'(3'(2'(3'(2'(2'(1'(1'(0'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(x1)))))))))))))))))) -> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(x1)))))))))))))))))) -> 0'(3'(0'(3'(0'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(2'(0'(3'(3'(1'(1'(2'(2'(1'(0'(3'(0'(3'(1'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 1'(2'(1'(1'(3'(2'(0'(1'(0'(1'(1'(1'(1'(3'(2'(2'(3'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 2'(2'(1'(1'(0'(3'(2'(0'(0'(0'(2'(1'(3'(2'(0'(2'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(0'(3'(3'(2'(0'(2'(3'(3'(1'(0'(2'(2'(2'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(2'(2'(2'(0'(2'(1'(0'(3'(1'(1'(0'(0'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 2'(0'(2'(3'(1'(0'(2'(0'(2'(1'(3'(0'(2'(0'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(x1)))))))))))))))))) -> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(0'(3'(2'(1'(3'(1'(0'(0'(3'(2'(1'(3'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 1'(0'(3'(0'(3'(0'(1'(2'(3'(2'(1'(0'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(x1)))))))))))))))))) -> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(0'(2'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(0'(3'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(1'(3'(3'(3'(0'(0'(2'(2'(2'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(x1)))))))))))))))))) -> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2'(3'(2'(2'(0'(2'(1'(1'(2'(3'(2'(0'(3'(0'(2'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 0'(1'(3'(2'(2'(1'(0'(3'(1'(2'(0'(2'(0'(0'(1'(0'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))) -> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(0'(3'(1'(3'(1'(3'(3'(1'(2'(2'(1'(3'(2'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(x1)))))))))))))))))) -> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 1'(0'(3'(1'(3'(0'(1'(3'(1'(1'(3'(0'(0'(3'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(2'(3'(3'(3'(2'(2'(2'(0'(0'(3'(1'(0'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(1'(0'(0'(2'(3'(3'(2'(3'(2'(0'(1'(1'(1'(1'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(2'(1'(0'(2'(1'(1'(3'(2'(1'(1'(0'(3'(0'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(x1)))))))))))))))))) -> 1'(1'(3'(3'(3'(0'(3'(2'(0'(2'(3'(1'(2'(2'(2'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(3'(3'(3'(1'(2'(1'(2'(3'(2'(0'(2'(0'(2'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(2'(0'(0'(3'(1'(3'(3'(1'(2'(2'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(x1)))))))))))))))))) -> 3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(2'(2'(3'(1'(0'(2'(0'(3'(0'(0'(3'(2'(3'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 1'(0'(3'(1'(1'(1'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(1'(1'(1'(3'(2'(2'(1'(2'(1'(3'(1'(1'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 1'(0'(1'(3'(0'(3'(0'(1'(3'(1'(1'(3'(1'(3'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(1'(3'(1'(3'(0'(2'(2'(2'(1'(3'(3'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(0'(0'(2'(2'(3'(2'(1'(1'(1'(2'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(0'(3'(1'(3'(2'(2'(3'(2'(0'(2'(1'(3'(2'(0'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 1'(0'(0'(1'(1'(2'(2'(2'(1'(2'(0'(3'(3'(2'(0'(0'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(3'(1'(0'(3'(1'(2'(3'(3'(2'(0'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(3'(3'(1'(3'(3'(3'(3'(3'(2'(2'(3'(3'(3'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 2'(1'(3'(1'(0'(3'(2'(2'(3'(2'(2'(0'(1'(3'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(1'(0'(3'(1'(3'(3'(3'(0'(0'(1'(1'(3'(0'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(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]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

The TRS has the following type information:
3' :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
c_2 :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
c_3 :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
c_0 :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
c_1 :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
0' :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
2' :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
1' :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
const :: c_2:c_3:c_1:c_0:const
const1 :: cons_0:cons_1:cons_2:cons_3

Rewrite Strategy: INNERMOST
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(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:

   3'(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(1'(0'(1'(1'(1'(1'(1'(3'(2'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(1'(0'(3'(2'(1'(1'(3'(2'(0'(1'(3'(1'(2'(0'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(1'(3'(3'(1'(3'(1'(3'(1'(1'(0'(0'(0'(0'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1107))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1107))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1108))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1108))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(x1109))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1109))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(x1110))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1110))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(x1111))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1111))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1112))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1112))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(x1113))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1113))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(x1114))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1114))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(x1115))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1115))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(x1116))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1116))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(x1117))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1117))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1118))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1118))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1119))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1119))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1120))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1120))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(c_3(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(const))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 0'(3'(1'(2'(0'(0'(2'(3'(1'(3'(2'(3'(1'(1'(1'(2'(3'(2'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(3'(1'(3'(1'(1'(2'(0'(3'(2'(0'(1'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(2'(3'(1'(3'(1'(2'(0'(2'(1'(3'(1'(0'(2'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1192))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1192))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1193))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1193))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(x1194))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1194))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(x1195))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1195))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(x1196))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1196))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1197))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1197))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(x1198))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1198))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(x1199))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1199))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(x1200))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1200))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(x1201))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1201))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(x1202))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1202))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1203))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1203))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1204))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1204))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1205))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1205))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(c_3(x1)))))))))))))))))) [1]
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   2'(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(3'(1'(0'(3'(1'(2'(3'(3'(2'(0'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(3'(3'(1'(3'(3'(3'(3'(3'(2'(2'(3'(3'(3'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 2'(1'(3'(1'(0'(3'(2'(2'(3'(2'(2'(0'(1'(3'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(1'(0'(3'(1'(3'(3'(3'(0'(0'(1'(1'(3'(0'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(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(cons_3(x_12))) -> 0'(3'(encArg(x_12))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_13))) -> 1'(0'(encArg(x_13))) [0]
   encArg(cons_1(cons_1(x_14))) -> 1'(1'(encArg(x_14))) [0]
   encArg(cons_1(cons_2(x_15))) -> 1'(2'(encArg(x_15))) [0]
   encArg(cons_1(cons_3(x_16))) -> 1'(3'(encArg(x_16))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_17))) -> 2'(0'(encArg(x_17))) [0]
   encArg(cons_2(cons_1(x_18))) -> 2'(1'(encArg(x_18))) [0]
   encArg(cons_2(cons_2(x_19))) -> 2'(2'(encArg(x_19))) [0]
   encArg(cons_2(cons_3(x_110))) -> 2'(3'(encArg(x_110))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_3(cons_0(x_111))) -> 3'(0'(encArg(x_111))) [0]
   encArg(cons_3(cons_1(x_112))) -> 3'(1'(encArg(x_112))) [0]
   encArg(cons_3(cons_2(x_113))) -> 3'(2'(encArg(x_113))) [0]
   encArg(cons_3(cons_3(x_114))) -> 3'(3'(encArg(x_114))) [0]
   encArg(cons_3(x_1)) -> 3'(const) [0]
   encode_0(cons_0(x_115)) -> 0'(0'(encArg(x_115))) [0]
   encode_0(cons_1(x_116)) -> 0'(1'(encArg(x_116))) [0]
   encode_0(cons_2(x_117)) -> 0'(2'(encArg(x_117))) [0]
   encode_0(cons_3(x_118)) -> 0'(3'(encArg(x_118))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_119)) -> 1'(0'(encArg(x_119))) [0]
   encode_1(cons_1(x_120)) -> 1'(1'(encArg(x_120))) [0]
   encode_1(cons_2(x_121)) -> 1'(2'(encArg(x_121))) [0]
   encode_1(cons_3(x_122)) -> 1'(3'(encArg(x_122))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_3(cons_0(x_123)) -> 3'(0'(encArg(x_123))) [0]
   encode_3(cons_1(x_124)) -> 3'(1'(encArg(x_124))) [0]
   encode_3(cons_2(x_125)) -> 3'(2'(encArg(x_125))) [0]
   encode_3(cons_3(x_126)) -> 3'(3'(encArg(x_126))) [0]
   encode_3(x_1) -> 3'(const) [0]
   encode_2(cons_0(x_127)) -> 2'(0'(encArg(x_127))) [0]
   encode_2(cons_1(x_128)) -> 2'(1'(encArg(x_128))) [0]
   encode_2(cons_2(x_129)) -> 2'(2'(encArg(x_129))) [0]
   encode_2(cons_3(x_130)) -> 2'(3'(encArg(x_130))) [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]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

The TRS has the following type information:
3' :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
c_2 :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
c_3 :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
c_0 :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
c_1 :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
0' :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
2' :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
1' :: c_2:c_3:c_1:c_0:const -> c_2:c_3:c_1:c_0:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:const
const :: c_2:c_3:c_1:c_0:const
const1 :: cons_0:cons_1:cons_2:cons_3

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) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1118))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1118))))))))))))))))))))))))))))))))), x1118 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1111))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1111))))))))))))))))))))))))))))))))), x1111 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1113))))))))))))))))))))))))))))))))))) :|: x1113 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1113)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1108))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1108))))))))))))))))))))))))))))))))), x1108 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1116))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1116))))))))))))))))))))))))))))))))), x1116 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1109))))))))))))))))))))))))))))))))))) :|: x1109 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1109)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1117))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1117))))))))))))))))))))))))))))))))), x1117 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1110))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1110))))))))))))))))))))))))))))))))), x1110 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1120))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1120))))))))))))))))))))))))))))))))), x1120 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1115))))))))))))))))))))))))))))))))))) :|: x1115 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1115)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1119))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1119))))))))))))))))))))))))))))))))), x1119 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1107))))))))))))))))))))))))))))))))))) :|: x1107 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1107)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1112))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1112))))))))))))))))))))))))))))))))), x1112 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1114))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1114))))))))))))))))))))))))))))))))), x1114 >= 0
   0'(z) -{ 1 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(0'(3'(1'(1'(1'(1'(1'(2'(2'(2'(1'(1'(0'(2'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x11380))))))))))))))))))))))))))))))))))) :|: x11380 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11380)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x11373))))))))))))))))))))))))))))))))))) :|: x11373 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11373)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x11375))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11375))))))))))))))))))))))))))))))))), x11375 >= 0
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x11370))))))))))))))))))))))))))))))))))) :|: x11370 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11370)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x11378))))))))))))))))))))))))))))))))))) :|: x11378 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11378)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x11371))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11371))))))))))))))))))))))))))))))))), x11371 >= 0
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x11379))))))))))))))))))))))))))))))))))) :|: x11379 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11379)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x11372))))))))))))))))))))))))))))))))))) :|: x11372 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11372)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x11382))))))))))))))))))))))))))))))))))) :|: x11382 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11382)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x11377))))))))))))))))))))))))))))))))))) :|: x11377 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11377)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x11381))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11381))))))))))))))))))))))))))))))))), x11381 >= 0
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x11369))))))))))))))))))))))))))))))))))) :|: x11369 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11369)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x11374))))))))))))))))))))))))))))))))))) :|: x11374 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11374)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x11376))))))))))))))))))))))))))))))))))) :|: x11376 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11376)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(3'(1'(0'(3'(2'(1'(1'(3'(2'(0'(1'(3'(1'(2'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(2'(2'(2'(3'(1'(0'(2'(0'(3'(0'(0'(3'(2'(3'(0'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(2'(3'(1'(0'(3'(1'(1'(3'(0'(0'(3'(2'(3'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(1'(3'(0'(3'(0'(1'(3'(1'(1'(3'(1'(3'(0'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(3'(1'(2'(1'(2'(3'(2'(0'(2'(0'(2'(2'(1'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(1'(2'(0'(0'(2'(3'(1'(3'(2'(3'(1'(1'(1'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(3'(2'(2'(2'(1'(1'(2'(0'(0'(1'(1'(2'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(2'(2'(0'(2'(1'(0'(3'(1'(1'(0'(0'(2'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(1'(0'(1'(1'(3'(3'(3'(0'(0'(2'(2'(2'(2'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(3'(3'(1'(3'(1'(3'(1'(1'(0'(0'(0'(0'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(3'(3'(2'(0'(2'(3'(3'(1'(0'(2'(2'(2'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(3'(2'(2'(1'(0'(3'(1'(2'(0'(2'(0'(0'(1'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x11005))))))))))))))))))))))))))))))))))) :|: x11005 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11005)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1998))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1998))))))))))))))))))))))))))))))))), x1998 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x11000))))))))))))))))))))))))))))))))))) :|: x11000 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11000)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1995))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1995))))))))))))))))))))))))))))))))), x1995 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x11003))))))))))))))))))))))))))))))))))) :|: x11003 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11003)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1996))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1996))))))))))))))))))))))))))))))))), x1996 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x11004))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11004))))))))))))))))))))))))))))))))), x11004 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1997))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1997))))))))))))))))))))))))))))))))), x1997 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x11007))))))))))))))))))))))))))))))))))) :|: x11007 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11007)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x11002))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11002))))))))))))))))))))))))))))))))), x11002 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x11006))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11006))))))))))))))))))))))))))))))))), x11006 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1994))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1994))))))))))))))))))))))))))))))))), x1994 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1999))))))))))))))))))))))))))))))))))) :|: x1999 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1999)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x11001))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11001))))))))))))))))))))))))))))))))), x11001 >= 0
   0'(z) -{ 1 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(3'(0'(0'(3'(2'(0'(1'(1'(0'(3'(2'(2'(0'(2'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(3'(1'(3'(3'(3'(0'(0'(1'(1'(3'(0'(0'(1'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(3'(1'(3'(2'(2'(3'(2'(0'(2'(1'(3'(2'(0'(3'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(3'(2'(1'(1'(3'(0'(3'(1'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(0'(1'(3'(1'(1'(3'(1'(3'(2'(2'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(1'(3'(1'(0'(3'(2'(2'(3'(2'(2'(0'(1'(3'(3'(1'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(2'(3'(3'(3'(2'(2'(2'(0'(0'(3'(1'(0'(3'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1953))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1953))))))))))))))))))))))))))))))))), x1953 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1946))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1946))))))))))))))))))))))))))))))))), x1946 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1948))))))))))))))))))))))))))))))))))) :|: x1948 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1948)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1943))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1943))))))))))))))))))))))))))))))))), x1943 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1951))))))))))))))))))))))))))))))))))) :|: x1951 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1951)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1944))))))))))))))))))))))))))))))))))) :|: x1944 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1944)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1952))))))))))))))))))))))))))))))))))) :|: x1952 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1952)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1945))))))))))))))))))))))))))))))))))) :|: x1945 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1945)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1955))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1955))))))))))))))))))))))))))))))))), x1955 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1950))))))))))))))))))))))))))))))))))) :|: x1950 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1950)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1954))))))))))))))))))))))))))))))))))) :|: x1954 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1954)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1942))))))))))))))))))))))))))))))))))) :|: x1942 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1942)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1947))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1947))))))))))))))))))))))))))))))))), x1947 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1949))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1949))))))))))))))))))))))))))))))))), x1949 >= 0
   1'(z) -{ 1 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(1'(1'(0'(3'(2'(2'(1'(1'(3'(1'(1'(1'(1'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x11287))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11287))))))))))))))))))))))))))))))))), x11287 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x11280))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11280))))))))))))))))))))))))))))))))), x11280 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x11282))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11282))))))))))))))))))))))))))))))))), x11282 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x11277))))))))))))))))))))))))))))))))))) :|: x11277 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11277)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x11285))))))))))))))))))))))))))))))))))) :|: x11285 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11285)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x11278))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11278))))))))))))))))))))))))))))))))), x11278 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x11286))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11286))))))))))))))))))))))))))))))))), x11286 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x11279))))))))))))))))))))))))))))))))))) :|: x11279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11279)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x11289))))))))))))))))))))))))))))))))))) :|: x11289 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11289)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x11284))))))))))))))))))))))))))))))))))) :|: x11284 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11284)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x11288))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11288))))))))))))))))))))))))))))))))), x11288 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x11276))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11276))))))))))))))))))))))))))))))))), x11276 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x11281))))))))))))))))))))))))))))))))))) :|: x11281 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11281)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x11283))))))))))))))))))))))))))))))))))) :|: x11283 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11283)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(1'(0'(0'(3'(2'(1'(2'(1'(1'(2'(1'(3'(1'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1574))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1574))))))))))))))))))))))))))))))))), x1574 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1567))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1567))))))))))))))))))))))))))))))))), x1567 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1569))))))))))))))))))))))))))))))))))) :|: x1569 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1569)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1564))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1564))))))))))))))))))))))))))))))))), x1564 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1572))))))))))))))))))))))))))))))))))) :|: x1572 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1572)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1565))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1565))))))))))))))))))))))))))))))))), x1565 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1573))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1573))))))))))))))))))))))))))))))))), x1573 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1566))))))))))))))))))))))))))))))))))) :|: x1566 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1566)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1576))))))))))))))))))))))))))))))))))) :|: x1576 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1576)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1571))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1571))))))))))))))))))))))))))))))))), x1571 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1575))))))))))))))))))))))))))))))))))) :|: x1575 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1575)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1563))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1563))))))))))))))))))))))))))))))))), x1563 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1568))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1568))))))))))))))))))))))))))))))))), x1568 >= 0
   1'(z) -{ 2 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1570))))))))))))))))))))))))))))))))))) :|: x1570 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1570)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(1'(1'(1'(3'(3'(2'(1'(0'(3'(1'(3'(0'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(3'(1'(3'(1'(2'(0'(2'(1'(3'(1'(0'(2'(2'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(0'(3'(3'(1'(1'(2'(2'(1'(0'(3'(0'(3'(1'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(1'(3'(2'(0'(1'(0'(1'(1'(1'(1'(3'(2'(2'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(3'(3'(0'(3'(2'(0'(2'(3'(1'(2'(2'(2'(0'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(3'(1'(3'(3'(3'(3'(3'(2'(2'(3'(3'(3'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1939))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1939))))))))))))))))))))))))))))))))), x1939 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1932))))))))))))))))))))))))))))))))))) :|: x1932 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1932)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1934))))))))))))))))))))))))))))))))))) :|: x1934 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1934)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1929))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1929))))))))))))))))))))))))))))))))), x1929 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1937))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1937))))))))))))))))))))))))))))))))), x1937 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1930))))))))))))))))))))))))))))))))))) :|: x1930 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1930)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1938))))))))))))))))))))))))))))))))))) :|: x1938 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1938)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1931))))))))))))))))))))))))))))))))))) :|: x1931 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1931)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1941))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1941))))))))))))))))))))))))))))))))), x1941 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1936))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1936))))))))))))))))))))))))))))))))), x1936 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1940))))))))))))))))))))))))))))))))))) :|: x1940 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1940)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1928))))))))))))))))))))))))))))))))))) :|: x1928 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1928)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1933))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1933))))))))))))))))))))))))))))))))), x1933 >= 0
   1'(z) -{ 2 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1935))))))))))))))))))))))))))))))))))) :|: x1935 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1935)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(2'(2'(2'(3'(1'(1'(1'(3'(2'(2'(3'(3'(1'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(1'(3'(1'(3'(3'(1'(2'(2'(1'(3'(2'(3'(3'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(1'(3'(0'(1'(3'(1'(1'(3'(0'(0'(3'(1'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x11249))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11249))))))))))))))))))))))))))))))))), x11249 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x11242))))))))))))))))))))))))))))))))))) :|: x11242 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11242)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x11244))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11244))))))))))))))))))))))))))))))))), x11244 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x11239))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11239))))))))))))))))))))))))))))))))), x11239 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x11247))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11247))))))))))))))))))))))))))))))))), x11247 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x11240))))))))))))))))))))))))))))))))))) :|: x11240 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11240)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x11248))))))))))))))))))))))))))))))))))) :|: x11248 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11248)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x11241))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11241))))))))))))))))))))))))))))))))), x11241 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x11251))))))))))))))))))))))))))))))))))) :|: x11251 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11251)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x11246))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11246))))))))))))))))))))))))))))))))), x11246 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x11250))))))))))))))))))))))))))))))))))) :|: x11250 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11250)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x11238))))))))))))))))))))))))))))))))))) :|: x11238 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11238)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x11243))))))))))))))))))))))))))))))))))) :|: x11243 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11243)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x11245))))))))))))))))))))))))))))))))))) :|: x11245 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11245)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(1'(2'(0'(2'(3'(1'(1'(1'(3'(2'(2'(0'(0'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(1'(1'(1'(1'(1'(2'(1'(2'(2'(0'(1'(1'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(0'(3'(0'(1'(2'(3'(2'(1'(0'(3'(2'(2'(3'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(3'(1'(2'(1'(0'(3'(2'(0'(1'(1'(3'(2'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(3'(2'(2'(1'(2'(1'(3'(1'(1'(0'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(1'(1'(2'(2'(2'(1'(2'(0'(3'(3'(2'(0'(0'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 0'(3'(0'(3'(0'(1'(1'(3'(0'(3'(0'(3'(1'(0'(3'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1357))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1357))))))))))))))))))))))))))))))))), x1357 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1350))))))))))))))))))))))))))))))))))) :|: x1350 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1350)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1352))))))))))))))))))))))))))))))))))) :|: x1352 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1352)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1347))))))))))))))))))))))))))))))))))) :|: x1347 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1347)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1355))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1355))))))))))))))))))))))))))))))))), x1355 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1348))))))))))))))))))))))))))))))))))) :|: x1348 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1348)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1356))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1356))))))))))))))))))))))))))))))))), x1356 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1349))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1349))))))))))))))))))))))))))))))))), x1349 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1359))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1359))))))))))))))))))))))))))))))))), x1359 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1354))))))))))))))))))))))))))))))))))) :|: x1354 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1354)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1358))))))))))))))))))))))))))))))))))) :|: x1358 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1358)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1346))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1346))))))))))))))))))))))))))))))))), x1346 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1351))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1351))))))))))))))))))))))))))))))))), x1351 >= 0
   1'(z) -{ 2 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1353))))))))))))))))))))))))))))))))))) :|: x1353 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1353)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 0'(2'(2'(1'(3'(3'(1'(2'(2'(3'(2'(0'(3'(1'(0'(3'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 0'(2'(2'(0'(2'(2'(3'(1'(1'(1'(1'(3'(0'(2'(1'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 0'(1'(2'(0'(0'(2'(1'(1'(0'(3'(2'(2'(0'(0'(1'(2'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(2'(2'(1'(3'(1'(0'(0'(3'(3'(0'(1'(3'(0'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(2'(0'(2'(1'(1'(2'(3'(2'(0'(3'(0'(2'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(0'(3'(1'(3'(1'(3'(0'(2'(2'(2'(1'(3'(3'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(3'(1'(0'(1'(3'(0'(3'(0'(2'(2'(0'(0'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(0'(0'(3'(1'(3'(3'(1'(2'(2'(3'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(0'(0'(2'(2'(3'(2'(1'(1'(1'(2'(2'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1203))))))))))))))))))))))))))))))))))) :|: x1203 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1203)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1196))))))))))))))))))))))))))))))))))) :|: x1196 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1196)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1198))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1198))))))))))))))))))))))))))))))))), x1198 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1193))))))))))))))))))))))))))))))))))) :|: x1193 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1193)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1201))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1201))))))))))))))))))))))))))))))))), x1201 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1194))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1194))))))))))))))))))))))))))))))))), x1194 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1202))))))))))))))))))))))))))))))))))) :|: x1202 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1202)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1195))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1195))))))))))))))))))))))))))))))))), x1195 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1205))))))))))))))))))))))))))))))))))) :|: x1205 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1205)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1200))))))))))))))))))))))))))))))))))) :|: x1200 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1200)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1204))))))))))))))))))))))))))))))))))) :|: x1204 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1204)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1192))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1192))))))))))))))))))))))))))))))))), x1192 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1197))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1197))))))))))))))))))))))))))))))))), x1197 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1199))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1199))))))))))))))))))))))))))))))))), x1199 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(1'(2'(1'(2'(0'(0'(3'(3'(3'(2'(0'(3'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(1'(0'(3'(2'(0'(0'(0'(2'(1'(3'(2'(0'(2'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(0'(2'(1'(1'(3'(2'(1'(1'(0'(3'(0'(1'(2'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(0'(0'(2'(3'(3'(2'(3'(2'(0'(1'(1'(1'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1860))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1860))))))))))))))))))))))))))))))))), x1860 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1853))))))))))))))))))))))))))))))))))) :|: x1853 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1853)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1855))))))))))))))))))))))))))))))))))) :|: x1855 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1855)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1850))))))))))))))))))))))))))))))))))) :|: x1850 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1850)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1858))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1858))))))))))))))))))))))))))))))))), x1858 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1851))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1851))))))))))))))))))))))))))))))))), x1851 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1859))))))))))))))))))))))))))))))))))) :|: x1859 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1859)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1852))))))))))))))))))))))))))))))))))) :|: x1852 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1852)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1862))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1862))))))))))))))))))))))))))))))))), x1862 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1857))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1857))))))))))))))))))))))))))))))))), x1857 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1861))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1861))))))))))))))))))))))))))))))))), x1861 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1849))))))))))))))))))))))))))))))))))) :|: x1849 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1849)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1854))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1854))))))))))))))))))))))))))))))))), x1854 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1856))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1856))))))))))))))))))))))))))))))))), x1856 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(2'(1'(2'(3'(1'(0'(1'(1'(3'(2'(2'(0'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(2'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(0'(3'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(0'(0'(3'(0'(3'(2'(3'(2'(2'(1'(1'(0'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(3'(1'(1'(3'(3'(3'(1'(2'(1'(3'(1'(1'(3'(0'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x11301))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11301))))))))))))))))))))))))))))))))), x11301 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x11294))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11294))))))))))))))))))))))))))))))))), x11294 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x11296))))))))))))))))))))))))))))))))))) :|: x11296 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11296)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x11291))))))))))))))))))))))))))))))))))) :|: x11291 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11291)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x11299))))))))))))))))))))))))))))))))))) :|: x11299 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11299)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x11292))))))))))))))))))))))))))))))))))) :|: x11292 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11292)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x11300))))))))))))))))))))))))))))))))))) :|: x11300 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11300)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x11293))))))))))))))))))))))))))))))))))) :|: x11293 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11293)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x11303))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11303))))))))))))))))))))))))))))))))), x11303 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x11298))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11298))))))))))))))))))))))))))))))))), x11298 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x11302))))))))))))))))))))))))))))))))))) :|: x11302 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11302)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x11290))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11290))))))))))))))))))))))))))))))))), x11290 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x11295))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11295))))))))))))))))))))))))))))))))), x11295 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x11297))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11297))))))))))))))))))))))))))))))))), x11297 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(1'(3'(1'(0'(3'(1'(2'(3'(3'(2'(0'(3'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(3'(2'(1'(3'(1'(0'(0'(3'(2'(1'(3'(3'(1'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1536))))))))))))))))))))))))))))))))))) :|: x1536 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1536)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1529))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1529))))))))))))))))))))))))))))))))), x1529 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1531))))))))))))))))))))))))))))))))))) :|: x1531 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1531)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1526))))))))))))))))))))))))))))))))))) :|: x1526 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1526)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1534))))))))))))))))))))))))))))))))))) :|: x1534 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1534)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1527))))))))))))))))))))))))))))))))))) :|: x1527 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1527)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1535))))))))))))))))))))))))))))))))))) :|: x1535 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1535)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1528))))))))))))))))))))))))))))))))))) :|: x1528 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1528)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1538))))))))))))))))))))))))))))))))))) :|: x1538 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1538)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1533))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1533))))))))))))))))))))))))))))))))), x1533 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1537))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1537))))))))))))))))))))))))))))))))), x1537 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1525))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1525))))))))))))))))))))))))))))))))), x1525 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1530))))))))))))))))))))))))))))))))))) :|: x1530 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1530)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1532))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1532))))))))))))))))))))))))))))))))), x1532 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(3'(1'(0'(3'(0'(3'(1'(2'(3'(2'(0'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(1'(0'(2'(2'(2'(2'(2'(0'(3'(1'(3'(2'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1278))))))))))))))))))))))))))))))))))) :|: x1278 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1278)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1271))))))))))))))))))))))))))))))))))) :|: x1271 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1271)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1273))))))))))))))))))))))))))))))))))) :|: x1273 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1273)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1268))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1268))))))))))))))))))))))))))))))))), x1268 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1276))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1276))))))))))))))))))))))))))))))))), x1276 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1269))))))))))))))))))))))))))))))))))) :|: x1269 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1269)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1277))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1277))))))))))))))))))))))))))))))))), x1277 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1270))))))))))))))))))))))))))))))))))) :|: x1270 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1270)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1280))))))))))))))))))))))))))))))))))) :|: x1280 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1280)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1275))))))))))))))))))))))))))))))))))) :|: x1275 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1275)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1279))))))))))))))))))))))))))))))))))) :|: x1279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1279)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1267))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1267))))))))))))))))))))))))))))))))), x1267 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1272))))))))))))))))))))))))))))))))))) :|: x1272 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1272)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1274))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1274))))))))))))))))))))))))))))))))), x1274 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(3'(1'(0'(2'(0'(2'(1'(3'(0'(2'(0'(2'(0'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(0'(1'(1'(1'(1'(1'(3'(2'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(3'(1'(3'(1'(1'(2'(0'(3'(2'(0'(1'(1'(1'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1991))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1991))))))))))))))))))))))))))))))))), x1991 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1984))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1984))))))))))))))))))))))))))))))))), x1984 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1986))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1986))))))))))))))))))))))))))))))))), x1986 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1981))))))))))))))))))))))))))))))))))) :|: x1981 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1981)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1989))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1989))))))))))))))))))))))))))))))))), x1989 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1982))))))))))))))))))))))))))))))))))) :|: x1982 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1982)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1990))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1990))))))))))))))))))))))))))))))))), x1990 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1983))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1983))))))))))))))))))))))))))))))))), x1983 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1993))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1993))))))))))))))))))))))))))))))))), x1993 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1988))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1988))))))))))))))))))))))))))))))))), x1988 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1992))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1992))))))))))))))))))))))))))))))))), x1992 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1980))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1980))))))))))))))))))))))))))))))))), x1980 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1985))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1985))))))))))))))))))))))))))))))))), x1985 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1987))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1987))))))))))))))))))))))))))))))))), x1987 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1729))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1729))))))))))))))))))))))))))))))))), x1729 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1722))))))))))))))))))))))))))))))))))) :|: x1722 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1722)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1724))))))))))))))))))))))))))))))))))) :|: x1724 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1724)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1719))))))))))))))))))))))))))))))))))) :|: x1719 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1719)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1727))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1727))))))))))))))))))))))))))))))))), x1727 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1720))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1720))))))))))))))))))))))))))))))))), x1720 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1728))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1728))))))))))))))))))))))))))))))))), x1728 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1721))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1721))))))))))))))))))))))))))))))))), x1721 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1731))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1731))))))))))))))))))))))))))))))))), x1731 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1726))))))))))))))))))))))))))))))))))) :|: x1726 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1726)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1730))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1730))))))))))))))))))))))))))))))))), x1730 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1718))))))))))))))))))))))))))))))))))) :|: x1718 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1718)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1723))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1723))))))))))))))))))))))))))))))))), x1723 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1725))))))))))))))))))))))))))))))))))) :|: x1725 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1725)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1785))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1785))))))))))))))))))))))))))))))))), x1785 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(x1778))))))))))))))))))))))))))))))))))) :|: x1778 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1778)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(x1780))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1780))))))))))))))))))))))))))))))))), x1780 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1775))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1775))))))))))))))))))))))))))))))))), x1775 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1783))))))))))))))))))))))))))))))))))) :|: x1783 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1783)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(x1776))))))))))))))))))))))))))))))))))) :|: x1776 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1776)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1784))))))))))))))))))))))))))))))))))) :|: x1784 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1784)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(x1777))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1777))))))))))))))))))))))))))))))))), x1777 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1787))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1787))))))))))))))))))))))))))))))))), x1787 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1782))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1782))))))))))))))))))))))))))))))))), x1782 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1786))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1786))))))))))))))))))))))))))))))))), x1786 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1774))))))))))))))))))))))))))))))))))) :|: x1774 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1774)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1779))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1779))))))))))))))))))))))))))))))))), x1779 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1781))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1781))))))))))))))))))))))))))))))))), x1781 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> 3'(1'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> 3'(0'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 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'(3'(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   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'(3'(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 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'(3'(encArg(x_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(3'(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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(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) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(2'(2'(0'(1'(3'(0'(3'(3'(1'(0'(3'(0'(3'(2'(2'(1'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
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   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(0))))))))))))))))) :|: z - 17 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(0'(3'(3'(1'(2'(1'(2'(0'(1'(1'(1'(3'(0'(3'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(3'(1'(0'(2'(0'(2'(1'(3'(0'(2'(0'(2'(0'(0'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(0'(1'(1'(1'(1'(1'(3'(2'(0'(0'(1'(1'(1'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(3'(1'(3'(1'(1'(2'(0'(3'(2'(0'(1'(1'(1'(0'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   2'(z) -{ 0 }-> 0 :|: z >= 0
   2'(z) -{ 0 }-> 1 + z :|: z >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(2'(2'(3'(2'(0'(1'(1'(2'(1'(1'(0'(0'(3'(0'(0'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(2'(2'(2'(0'(3'(2'(3'(0'(3'(0'(3'(1'(0'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(1'(2'(2'(0'(3'(2'(2'(3'(0'(0'(3'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(0'(0'(3'(0'(3'(1'(0'(3'(0'(1'(2'(2'(0'(3'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(3'(0'(3'(2'(2'(2'(3'(3'(0'(3'(3'(3'(2'(1'(0'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(0'(2'(0'(1'(3'(2'(1'(2'(1'(2'(2'(2'(1'(3'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(3'(1'(1'(2'(2'(1'(2'(1'(3'(0'(3'(1'(1'(0'(0'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 0 }-> 0 :|: z >= 0
   3'(z) -{ 0 }-> 1 + z :|: z >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(z - 2))) :|: z - 2 >= 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'(3'(encArg(z - 2))) :|: z - 2 >= 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'(3'(encArg(z - 2))) :|: z - 2 >= 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'(3'(encArg(z - 1))) :|: z - 1 >= 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'(3'(encArg(z - 1))) :|: z - 1 >= 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'(3'(encArg(z - 1))) :|: z - 1 >= 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
   encode_3(z) -{ 0 }-> 3'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(0) :|: z >= 0
   encode_3(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_3(v0) -> null_encode_3 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

And the following fresh constants:    null_encArg, null_encode_0, null_encode_1, null_encode_3, null_encode_2, null_0', null_1', null_2', null_3', 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:

   3'(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(2'(3'(2'(2'(2'(2'(0'(3'(2'(1'(2'(1'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(3'(3'(2'(0'(3'(1'(2'(0'(0'(3'(0'(0'(3'(3'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(1'(0'(1'(1'(1'(1'(1'(3'(2'(0'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
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   2'(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(1'(2'(2'(0'(3'(0'(3'(3'(2'(0'(3'(2'(0'(2'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(1'(1'(1'(3'(2'(2'(1'(2'(1'(3'(1'(1'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 1'(0'(1'(3'(0'(3'(0'(1'(3'(1'(1'(3'(1'(3'(0'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(x1)))))))))))))))))) -> 2'(2'(3'(0'(3'(1'(3'(1'(3'(0'(2'(2'(2'(1'(3'(3'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 1'(3'(2'(0'(3'(3'(3'(3'(0'(3'(3'(0'(3'(3'(2'(2'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(2'(2'(0'(0'(2'(2'(3'(2'(1'(1'(1'(2'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(x1)))))))))))))))))) -> 3'(1'(1'(3'(2'(1'(0'(0'(2'(2'(2'(2'(1'(2'(0'(1'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(0'(3'(1'(3'(2'(2'(3'(2'(0'(2'(1'(3'(2'(0'(3'(1'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(x1)))))))))))))))))) -> 1'(0'(0'(1'(1'(2'(2'(2'(1'(2'(0'(3'(3'(2'(0'(0'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(1'(3'(1'(0'(3'(1'(2'(3'(3'(2'(0'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(1'(1'(0'(2'(2'(3'(0'(3'(3'(0'(3'(1'(1'(3'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(x1)))))))))))))))))) -> 3'(2'(3'(0'(2'(2'(1'(3'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(x1)))))))))))))))))) -> 3'(0'(2'(3'(3'(2'(2'(2'(2'(2'(1'(0'(0'(1'(3'(0'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(3'(3'(1'(3'(3'(3'(3'(3'(2'(2'(3'(3'(3'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(x1)))))))))))))))))) -> 2'(1'(3'(1'(0'(3'(2'(2'(3'(2'(2'(0'(1'(3'(3'(1'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(1'(0'(3'(1'(3'(3'(3'(0'(0'(1'(1'(3'(0'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(1'(1'(0'(0'(3'(0'(2'(2'(2'(1'(1'(0'(0'(0'(3'(0'(0'(x1)))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(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]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_3(v0) -> null_encode_3 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

The TRS has the following type information:
3' :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
c_2 :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
c_3 :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
c_0 :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
c_1 :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
0' :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
2' :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
1' :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3' -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encArg :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_0 :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_1 :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_3 :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_2 :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_0' :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_1' :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_2' :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
null_3' :: c_2:c_3:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_3:null_encode_2:null_0':null_1':null_2':null_3'
const :: cons_0:cons_1:cons_2:cons_3

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_3 => 0
   null_encode_2 => 0
   null_0' => 0
   null_1' => 0
   null_2' => 0
   null_3' => 0
   const => 0

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

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

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

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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(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))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c6(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c8
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))))), 2'(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))), 2'(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))), 2'(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))), 2'(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))), 0'(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))), 2'(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))), 1'(0(3(1(1(0(0(2(2(1(1(z0))))))))))), 0'(3(1(1(0(0(2(2(1(1(z0)))))))))), 3'(1(1(0(0(2(2(1(1(z0))))))))), 1'(1(0(0(2(2(1(1(z0)))))))), 1'(0(0(2(2(1(1(z0))))))), 0'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> c19(0'(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))))), 2'(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))), 2'(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))), 1'(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))), 0'(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))), 1'(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))), 1'(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))), 3'(3(3(0(0(2(2(2(2(3(0(z0))))))))))), 3'(3(0(0(2(2(2(2(3(0(z0)))))))))), 3'(0(0(2(2(2(2(3(0(z0))))))))), 0'(0(2(2(2(2(3(0(z0)))))))), 0'(2(2(2(2(3(0(z0))))))), 2'(2(2(2(3(0(z0)))))), 2'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   0'(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c21(0'(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))))))))), 1'(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))), 3'(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))))))), 0'(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))), 0'(3(2(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))))), 3'(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))), 2'(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))), 0'(1(1(0(3(2(2(0(2(1(3(z0))))))))))), 1'(1(0(3(2(2(0(2(1(3(z0)))))))))), 1'(0(3(2(2(0(2(1(3(z0))))))))), 0'(3(2(2(0(2(1(3(z0)))))))), 3'(2(2(0(2(1(3(z0))))))), 2'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c22(0'(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0)))))))))))))))))), 3'(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))), 3'(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0)))))))))))))))), 3'(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))), 1'(2(1(2(3(2(0(2(0(2(2(1(0(1(z0)))))))))))))), 2'(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))), 1'(2(3(2(0(2(0(2(2(1(0(1(z0)))))))))))), 2'(3(2(0(2(0(2(2(1(0(1(z0))))))))))), 3'(2(0(2(0(2(2(1(0(1(z0)))))))))), 2'(0(2(0(2(2(1(0(1(z0))))))))), 0'(2(0(2(2(1(0(1(z0)))))))), 2'(0(2(2(1(0(1(z0))))))), 0'(2(2(1(0(1(z0)))))), 2'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> c23(1'(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0)))))))))))))))))), 2'(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))), 2'(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0)))))))))))))))), 2'(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))), 3'(1(0(2(0(3(0(0(3(2(3(0(3(1(z0)))))))))))))), 1'(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))), 0'(2(0(3(0(0(3(2(3(0(3(1(z0)))))))))))), 2'(0(3(0(0(3(2(3(0(3(1(z0))))))))))), 0'(3(0(0(3(2(3(0(3(1(z0)))))))))), 3'(0(0(3(2(3(0(3(1(z0))))))))), 0'(0(3(2(3(0(3(1(z0)))))))), 0'(3(2(3(0(3(1(z0))))))), 3'(2(3(0(3(1(z0)))))), 2'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c24(1'(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0)))))))))))))))))), 0'(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))), 1'(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0)))))))))))))))), 3'(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))), 0'(3(0(1(3(1(1(3(1(3(0(2(2(2(z0)))))))))))))), 3'(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))), 0'(1(3(1(1(3(1(3(0(2(2(2(z0)))))))))))), 1'(3(1(1(3(1(3(0(2(2(2(z0))))))))))), 3'(1(1(3(1(3(0(2(2(2(z0)))))))))), 1'(1(3(1(3(0(2(2(2(z0))))))))), 1'(3(1(3(0(2(2(2(z0)))))))), 3'(1(3(0(2(2(2(z0))))))), 1'(3(0(2(2(2(z0)))))), 3'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c25(1'(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0)))))))))))))))))), 3'(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))), 2'(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))), 3'(3(3(3(0(3(3(0(3(3(2(2(3(3(z0)))))))))))))), 3'(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))), 3'(3(0(3(3(0(3(3(2(2(3(3(z0)))))))))))), 3'(0(3(3(0(3(3(2(2(3(3(z0))))))))))), 0'(3(3(0(3(3(2(2(3(3(z0)))))))))), 3'(3(0(3(3(2(2(3(3(z0))))))))), 3'(0(3(3(2(2(3(3(z0)))))))), 0'(3(3(2(2(3(3(z0))))))), 3'(3(2(2(3(3(z0)))))), 3'(2(2(3(3(z0))))), 2'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c26(0'(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0)))))))))))))))))), 0'(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))), 3'(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0)))))))))))))))), 1'(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))), 3'(2(2(3(2(0(2(1(3(2(0(3(1(2(z0)))))))))))))), 2'(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))), 2'(3(2(0(2(1(3(2(0(3(1(2(z0)))))))))))), 3'(2(0(2(1(3(2(0(3(1(2(z0))))))))))), 2'(0(2(1(3(2(0(3(1(2(z0)))))))))), 0'(2(1(3(2(0(3(1(2(z0))))))))), 2'(1(3(2(0(3(1(2(z0)))))))), 1'(3(2(0(3(1(2(z0))))))), 3'(2(0(3(1(2(z0)))))), 2'(0(3(1(2(z0))))), 0'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c27(0'(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))), 0'(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0)))))))))))))))), 3'(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))), 1'(3(3(3(0(0(1(1(3(0(0(1(0(1(z0)))))))))))))), 3'(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))), 3'(3(0(0(1(1(3(0(0(1(0(1(z0)))))))))))), 3'(0(0(1(1(3(0(0(1(0(1(z0))))))))))), 0'(0(1(1(3(0(0(1(0(1(z0)))))))))), 0'(1(1(3(0(0(1(0(1(z0))))))))), 1'(1(3(0(0(1(0(1(z0)))))))), 1'(3(0(0(1(0(1(z0))))))), 3'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(z0) -> c28
   1'(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> c29(1'(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0)))))))))))))))))), 2'(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))), 3'(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0)))))))))))))))), 1'(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))), 3'(1(2(0(2(1(3(1(0(2(2(1(3(1(z0)))))))))))))), 1'(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))), 2'(0(2(1(3(1(0(2(2(1(3(1(z0)))))))))))), 0'(2(1(3(1(0(2(2(1(3(1(z0))))))))))), 2'(1(3(1(0(2(2(1(3(1(z0)))))))))), 1'(3(1(0(2(2(1(3(1(z0))))))))), 3'(1(0(2(2(1(3(1(z0)))))))), 1'(0(2(2(1(3(1(z0))))))), 0'(2(2(1(3(1(z0)))))), 2'(2(1(3(1(z0))))), 2'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   1'(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c30(2'(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0)))))))))))))))))), 2'(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))), 2'(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0)))))))))))))))), 2'(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))), 1'(1(0(1(3(1(1(3(1(3(2(2(2(0(z0)))))))))))))), 1'(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))), 0'(1(3(1(1(3(1(3(2(2(2(0(z0)))))))))))), 1'(3(1(1(3(1(3(2(2(2(0(z0))))))))))), 3'(1(1(3(1(3(2(2(2(0(z0)))))))))), 1'(1(3(1(3(2(2(2(0(z0))))))))), 1'(3(1(3(2(2(2(0(z0)))))))), 3'(1(3(2(2(2(0(z0))))))), 1'(3(2(2(2(0(z0)))))), 3'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> c31(1'(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0)))))))))))))))))), 0'(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))), 1'(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0)))))))))))))))), 3'(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))), 1'(2(1(0(3(2(0(1(1(3(2(1(1(0(z0)))))))))))))), 2'(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))), 1'(0(3(2(0(1(1(3(2(1(1(0(z0)))))))))))), 0'(3(2(0(1(1(3(2(1(1(0(z0))))))))))), 3'(2(0(1(1(3(2(1(1(0(z0)))))))))), 2'(0(1(1(3(2(1(1(0(z0))))))))), 0'(1(1(3(2(1(1(0(z0)))))))), 1'(1(3(2(1(1(0(z0))))))), 1'(3(2(1(1(0(z0)))))), 3'(2(1(1(0(z0))))), 2'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c47(1'(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))), 3'(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0)))))))))))))))), 1'(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))), 1'(1(1(1(2(1(2(2(0(1(1(1(3(1(z0)))))))))))))), 1'(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))), 1'(1(2(1(2(2(0(1(1(1(3(1(z0)))))))))))), 1'(2(1(2(2(0(1(1(1(3(1(z0))))))))))), 2'(1(2(2(0(1(1(1(3(1(z0)))))))))), 1'(2(2(0(1(1(1(3(1(z0))))))))), 2'(2(0(1(1(1(3(1(z0)))))))), 2'(0(1(1(1(3(1(z0))))))), 0'(1(1(1(3(1(z0)))))), 1'(1(1(3(1(z0))))), 1'(1(3(1(z0)))), 1'(3(1(z0))), 3'(1(z0)), 1'(z0))
   1'(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c48(1'(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0)))))))))))))))))), 3'(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))), 1'(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0)))))))))))))))), 0'(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))), 0'(3(2(1(2(1(1(2(1(3(1(1(1(3(z0)))))))))))))), 3'(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))), 2'(1(2(1(1(2(1(3(1(1(1(3(z0)))))))))))), 1'(2(1(1(2(1(3(1(1(1(3(z0))))))))))), 2'(1(1(2(1(3(1(1(1(3(z0)))))))))), 1'(1(2(1(3(1(1(1(3(z0))))))))), 1'(2(1(3(1(1(1(3(z0)))))))), 2'(1(3(1(1(1(3(z0))))))), 1'(3(1(1(1(3(z0)))))), 3'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> c49(1'(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0)))))))))))))))))), 0'(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))), 1'(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0)))))))))))))))), 1'(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))), 1'(3(2(2(1(2(1(3(1(1(0(0(0(0(z0)))))))))))))), 3'(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))), 2'(2(1(2(1(3(1(1(0(0(0(0(z0)))))))))))), 2'(1(2(1(3(1(1(0(0(0(0(z0))))))))))), 1'(2(1(3(1(1(0(0(0(0(z0)))))))))), 2'(1(3(1(1(0(0(0(0(z0))))))))), 1'(3(1(1(0(0(0(0(z0)))))))), 3'(1(1(0(0(0(0(z0))))))), 1'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> c50(1'(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0)))))))))))))))))), 0'(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))), 0'(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0)))))))))))))))), 1'(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))), 1'(2(2(2(1(2(0(3(3(2(0(0(0(2(z0)))))))))))))), 2'(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))), 2'(2(1(2(0(3(3(2(0(0(0(2(z0)))))))))))), 2'(1(2(0(3(3(2(0(0(0(2(z0))))))))))), 1'(2(0(3(3(2(0(0(0(2(z0)))))))))), 2'(0(3(3(2(0(0(0(2(z0))))))))), 0'(3(3(2(0(0(0(2(z0)))))))), 3'(3(2(0(0(0(2(z0))))))), 3'(2(0(0(0(2(z0)))))), 2'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   1'(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> c51(1'(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0)))))))))))))))))), 1'(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))), 3'(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0)))))))))))))))), 3'(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))), 1'(3(3(3(3(3(2(2(3(3(3(0(1(1(z0)))))))))))))), 3'(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))), 3'(3(3(3(2(2(3(3(3(0(1(1(z0)))))))))))), 3'(3(3(2(2(3(3(3(0(1(1(z0))))))))))), 3'(3(2(2(3(3(3(0(1(1(z0)))))))))), 3'(2(2(3(3(3(0(1(1(z0))))))))), 2'(2(3(3(3(0(1(1(z0)))))))), 2'(3(3(3(0(1(1(z0))))))), 3'(3(3(0(1(1(z0)))))), 3'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c52(2'(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0)))))))))))))))))), 1'(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))), 3'(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0)))))))))))))))), 1'(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))), 0'(3(2(2(3(2(2(0(1(3(3(1(3(2(z0)))))))))))))), 3'(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))), 2'(2(3(2(2(0(1(3(3(1(3(2(z0)))))))))))), 2'(3(2(2(0(1(3(3(1(3(2(z0))))))))))), 3'(2(2(0(1(3(3(1(3(2(z0)))))))))), 2'(2(0(1(3(3(1(3(2(z0))))))))), 2'(0(1(3(3(1(3(2(z0)))))))), 0'(1(3(3(1(3(2(z0))))))), 1'(3(3(1(3(2(z0)))))), 3'(3(1(3(2(z0))))), 3'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   2'(z0) -> c53
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> c54(2'(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0)))))))))))))))))), 0'(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))), 1'(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0)))))))))))))))), 0'(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))), 1'(1(1(1(1(3(2(0(0(1(1(1(1(1(z0)))))))))))))), 1'(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))), 1'(1(1(3(2(0(0(1(1(1(1(1(z0)))))))))))), 1'(1(3(2(0(0(1(1(1(1(1(z0))))))))))), 1'(3(2(0(0(1(1(1(1(1(z0)))))))))), 3'(2(0(0(1(1(1(1(1(z0))))))))), 2'(0(0(1(1(1(1(1(z0)))))))), 0'(0(1(1(1(1(1(z0))))))), 0'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> c55(2'(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0)))))))))))))))))), 0'(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))), 0'(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0)))))))))))))))), 3'(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))), 1'(3(1(1(2(0(3(2(0(1(1(1(0(1(z0)))))))))))))), 3'(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))), 1'(1(2(0(3(2(0(1(1(1(0(1(z0)))))))))))), 1'(2(0(3(2(0(1(1(1(0(1(z0))))))))))), 2'(0(3(2(0(1(1(1(0(1(z0)))))))))), 0'(3(2(0(1(1(1(0(1(z0))))))))), 3'(2(0(1(1(1(0(1(z0)))))))), 2'(0(1(1(1(0(1(z0))))))), 0'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c56(2'(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0)))))))))))))))))), 2'(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))), 2'(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0)))))))))))))))), 1'(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))), 2'(1(2(0(0(3(3(3(2(0(3(1(3(3(z0)))))))))))))), 1'(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))), 2'(0(0(3(3(3(2(0(3(1(3(3(z0)))))))))))), 0'(0(3(3(3(2(0(3(1(3(3(z0))))))))))), 0'(3(3(3(2(0(3(1(3(3(z0)))))))))), 3'(3(3(2(0(3(1(3(3(z0))))))))), 3'(3(2(0(3(1(3(3(z0)))))))), 3'(2(0(3(1(3(3(z0))))))), 2'(0(3(1(3(3(z0)))))), 0'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> c57(2'(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0)))))))))))))))))), 3'(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))), 2'(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0)))))))))))))))), 2'(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))), 2'(1(3(1(0(0(3(3(0(1(3(0(2(2(z0)))))))))))))), 1'(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))), 3'(1(0(0(3(3(0(1(3(0(2(2(z0)))))))))))), 1'(0(0(3(3(0(1(3(0(2(2(z0))))))))))), 0'(0(3(3(0(1(3(0(2(2(z0)))))))))), 0'(3(3(0(1(3(0(2(2(z0))))))))), 3'(3(0(1(3(0(2(2(z0)))))))), 3'(0(1(3(0(2(2(z0))))))), 0'(1(3(0(2(2(z0)))))), 1'(3(0(2(2(z0))))), 3'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c58(2'(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0)))))))))))))))))), 0'(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))), 3'(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0)))))))))))))))), 0'(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))), 3'(3(1(2(1(2(0(1(1(1(3(0(3(3(z0)))))))))))))), 3'(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))), 1'(2(1(2(0(1(1(1(3(0(3(3(z0)))))))))))), 2'(1(2(0(1(1(1(3(0(3(3(z0))))))))))), 1'(2(0(1(1(1(3(0(3(3(z0)))))))))), 2'(0(1(1(1(3(0(3(3(z0))))))))), 0'(1(1(1(3(0(3(3(z0)))))))), 1'(1(1(3(0(3(3(z0))))))), 1'(1(3(0(3(3(z0)))))), 1'(3(0(3(3(z0))))), 3'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   2'(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> c74(2'(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0)))))))))))))))))), 2'(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))), 3'(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0)))))))))))))))), 0'(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))), 3'(1(3(1(3(0(2(2(2(1(3(3(3(2(z0)))))))))))))), 1'(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))), 3'(1(3(0(2(2(2(1(3(3(3(2(z0)))))))))))), 1'(3(0(2(2(2(1(3(3(3(2(z0))))))))))), 3'(0(2(2(2(1(3(3(3(2(z0)))))))))), 0'(2(2(2(1(3(3(3(2(z0))))))))), 2'(2(2(1(3(3(3(2(z0)))))))), 2'(2(1(3(3(3(2(z0))))))), 2'(1(3(3(3(2(z0)))))), 1'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   2'(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> c75(2'(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0)))))))))))))))))), 2'(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))), 2'(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0)))))))))))))))), 2'(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))), 0'(0(2(2(3(2(1(1(1(2(2(2(2(2(z0)))))))))))))), 0'(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))), 2'(2(3(2(1(1(1(2(2(2(2(2(z0)))))))))))), 2'(3(2(1(1(1(2(2(2(2(2(z0))))))))))), 3'(2(1(1(1(2(2(2(2(2(z0)))))))))), 2'(1(1(1(2(2(2(2(2(z0))))))))), 1'(1(1(2(2(2(2(2(z0)))))))), 1'(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))
   2'(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c76(2'(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0)))))))))))))))))), 1'(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))), 1'(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0)))))))))))))))), 1'(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))), 3'(1(0(3(1(2(3(3(2(0(3(2(2(2(z0)))))))))))))), 1'(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))), 0'(3(1(2(3(3(2(0(3(2(2(2(z0)))))))))))), 3'(1(2(3(3(2(0(3(2(2(2(z0))))))))))), 1'(2(3(3(2(0(3(2(2(2(z0)))))))))), 2'(3(3(2(0(3(2(2(2(z0))))))))), 3'(3(2(0(3(2(2(2(z0)))))))), 3'(2(0(3(2(2(2(z0))))))), 2'(0(3(2(2(2(z0)))))), 0'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(z0) -> c77
   3'(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c78(3'(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0)))))))))))))))))), 0'(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))), 2'(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0)))))))))))))))), 2'(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))), 2'(3(2(2(2(2(0(3(2(1(2(1(3(2(z0)))))))))))))), 3'(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))), 2'(2(2(2(0(3(2(1(2(1(3(2(z0)))))))))))), 2'(2(2(0(3(2(1(2(1(3(2(z0))))))))))), 2'(2(0(3(2(1(2(1(3(2(z0)))))))))), 2'(0(3(2(1(2(1(3(2(z0))))))))), 0'(3(2(1(2(1(3(2(z0)))))))), 3'(2(1(2(1(3(2(z0))))))), 2'(1(2(1(3(2(z0)))))), 1'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c79(3'(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))))))), 1'(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))), 3'(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))))), 3'(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))), 2'(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))), 0'(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))), 3'(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))), 1'(2(0(0(3(0(0(3(3(0(0(z0))))))))))), 2'(0(0(3(0(0(3(3(0(0(z0)))))))))), 0'(0(3(0(0(3(3(0(0(z0))))))))), 0'(3(0(0(3(3(0(0(z0)))))))), 3'(0(0(3(3(0(0(z0))))))), 0'(0(3(3(0(0(z0)))))), 0'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> c80(3'(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))))))), 1'(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))), 1'(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))))), 1'(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))), 2'(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))), 2'(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))), 0'(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))), 3'(2(2(3(0(0(3(2(2(0(3(z0))))))))))), 2'(2(3(0(0(3(2(2(0(3(z0)))))))))), 2'(3(0(0(3(2(2(0(3(z0))))))))), 3'(0(0(3(2(2(0(3(z0)))))))), 0'(0(3(2(2(0(3(z0))))))), 0'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c81(3'(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))))), 1'(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))), 1'(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))), 0'(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))), 0'(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))), 3'(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))), 0'(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))), 3'(1(0(3(0(1(2(2(0(3(3(z0))))))))))), 1'(0(3(0(1(2(2(0(3(3(z0)))))))))), 0'(3(0(1(2(2(0(3(3(z0))))))))), 3'(0(1(2(2(0(3(3(z0)))))))), 0'(1(2(2(0(3(3(z0))))))), 1'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c82(3'(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))))), 2'(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))), 2'(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))), 3'(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))), 2'(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))), 0'(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))), 1'(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(3(0(z0))))))))))), 2'(1(1(0(0(3(0(0(3(0(z0)))))))))), 1'(1(0(0(3(0(0(3(0(z0))))))))), 1'(0(0(3(0(0(3(0(z0)))))))), 0'(0(3(0(0(3(0(z0))))))), 0'(3(0(0(3(0(z0)))))), 3'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c83(3'(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))))), 0'(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))), 0'(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))), 0'(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))), 2'(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))), 0'(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))), 1'(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))), 3'(2(1(2(1(2(2(2(1(3(2(z0))))))))))), 2'(1(2(1(2(2(2(1(3(2(z0)))))))))), 1'(2(1(2(2(2(1(3(2(z0))))))))), 2'(1(2(2(2(1(3(2(z0)))))))), 1'(2(2(2(1(3(2(z0))))))), 2'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
S tuples:
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   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 2_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c28, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   2'(z0) -> c53
   1'(z0) -> c28
   0'(z0) -> c8
   3'(z0) -> c77

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

(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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(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))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c6(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))))), 2'(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))), 2'(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))), 2'(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))), 2'(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))), 0'(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))), 2'(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))), 1'(0(3(1(1(0(0(2(2(1(1(z0))))))))))), 0'(3(1(1(0(0(2(2(1(1(z0)))))))))), 3'(1(1(0(0(2(2(1(1(z0))))))))), 1'(1(0(0(2(2(1(1(z0)))))))), 1'(0(0(2(2(1(1(z0))))))), 0'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> c19(0'(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))))), 2'(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))), 2'(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))), 1'(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))), 0'(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))), 1'(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))), 1'(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))), 3'(3(3(0(0(2(2(2(2(3(0(z0))))))))))), 3'(3(0(0(2(2(2(2(3(0(z0)))))))))), 3'(0(0(2(2(2(2(3(0(z0))))))))), 0'(0(2(2(2(2(3(0(z0)))))))), 0'(2(2(2(2(3(0(z0))))))), 2'(2(2(2(3(0(z0)))))), 2'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   0'(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c21(0'(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))))))))), 1'(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))), 3'(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))))))), 0'(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))), 0'(3(2(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))))), 3'(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))), 2'(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))), 0'(1(1(0(3(2(2(0(2(1(3(z0))))))))))), 1'(1(0(3(2(2(0(2(1(3(z0)))))))))), 1'(0(3(2(2(0(2(1(3(z0))))))))), 0'(3(2(2(0(2(1(3(z0)))))))), 3'(2(2(0(2(1(3(z0))))))), 2'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c81(3'(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))))), 1'(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))), 1'(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))), 0'(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))), 0'(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))), 3'(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))), 0'(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))), 3'(1(0(3(0(1(2(2(0(3(3(z0))))))))))), 1'(0(3(0(1(2(2(0(3(3(z0)))))))))), 0'(3(0(1(2(2(0(3(3(z0))))))))), 3'(0(1(2(2(0(3(3(z0)))))))), 0'(1(2(2(0(3(3(z0))))))), 1'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
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S tuples:
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   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))))), 2'(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))), 2'(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))), 2'(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))), 2'(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))), 0'(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))), 2'(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))), 1'(0(3(1(1(0(0(2(2(1(1(z0))))))))))), 0'(3(1(1(0(0(2(2(1(1(z0)))))))))), 3'(1(1(0(0(2(2(1(1(z0))))))))), 1'(1(0(0(2(2(1(1(z0)))))))), 1'(0(0(2(2(1(1(z0))))))), 0'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> c19(0'(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))))), 2'(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))), 2'(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))), 1'(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))), 0'(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))), 1'(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))), 1'(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))), 3'(3(3(0(0(2(2(2(2(3(0(z0))))))))))), 3'(3(0(0(2(2(2(2(3(0(z0)))))))))), 3'(0(0(2(2(2(2(3(0(z0))))))))), 0'(0(2(2(2(2(3(0(z0)))))))), 0'(2(2(2(2(3(0(z0))))))), 2'(2(2(2(3(0(z0)))))), 2'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 2_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

(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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(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))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c81(3'(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))))), 1'(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))), 1'(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))), 0'(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))), 0'(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))), 3'(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))), 0'(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))), 3'(1(0(3(0(1(2(2(0(3(3(z0))))))))))), 1'(0(3(0(1(2(2(0(3(3(z0)))))))))), 0'(3(0(1(2(2(0(3(3(z0))))))))), 3'(0(1(2(2(0(3(3(z0)))))))), 0'(1(2(2(0(3(3(z0))))))), 1'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c82(3'(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))))), 2'(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))), 2'(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))), 3'(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))), 2'(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))), 0'(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))), 1'(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(3(0(z0))))))))))), 2'(1(1(0(0(3(0(0(3(0(z0)))))))))), 1'(1(0(0(3(0(0(3(0(z0))))))))), 1'(0(0(3(0(0(3(0(z0)))))))), 0'(0(3(0(0(3(0(z0))))))), 0'(3(0(0(3(0(z0)))))), 3'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c83(3'(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))))), 0'(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))), 0'(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))), 0'(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))), 2'(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))), 0'(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))), 1'(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))), 3'(2(1(2(1(2(2(2(1(3(2(z0))))))))))), 2'(1(2(1(2(2(2(1(3(2(z0)))))))))), 1'(2(1(2(2(2(1(3(2(z0))))))))), 2'(1(2(2(2(1(3(2(z0)))))))), 1'(2(2(2(1(3(2(z0))))))), 2'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_2(z0) -> c8(ENCARG(z0))
S tuples:
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c79(3'(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))))))), 1'(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))), 3'(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))))), 3'(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))), 2'(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))), 0'(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))), 3'(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))), 1'(2(0(0(3(0(0(3(3(0(0(z0))))))))))), 2'(0(0(3(0(0(3(3(0(0(z0)))))))))), 0'(0(3(0(0(3(3(0(0(z0))))))))), 0'(3(0(0(3(3(0(0(z0)))))))), 3'(0(0(3(3(0(0(z0))))))), 0'(0(3(3(0(0(z0)))))), 0'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> c80(3'(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))))))), 1'(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))), 1'(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))))), 1'(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))), 2'(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))), 2'(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))), 0'(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))), 3'(2(2(3(0(0(3(2(2(0(3(z0))))))))))), 2'(2(3(0(0(3(2(2(0(3(z0)))))))))), 2'(3(0(0(3(2(2(0(3(z0))))))))), 3'(0(0(3(2(2(0(3(z0)))))))), 0'(0(3(2(2(0(3(z0))))))), 0'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c81(3'(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))))), 1'(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))), 1'(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))), 0'(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))), 0'(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))), 3'(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))), 0'(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))), 3'(1(0(3(0(1(2(2(0(3(3(z0))))))))))), 1'(0(3(0(1(2(2(0(3(3(z0)))))))))), 0'(3(0(1(2(2(0(3(3(z0))))))))), 3'(0(1(2(2(0(3(3(z0)))))))), 0'(1(2(2(0(3(3(z0))))))), 1'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c82(3'(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))))), 2'(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))), 2'(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))), 3'(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))), 2'(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))), 0'(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))), 1'(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(3(0(z0))))))))))), 2'(1(1(0(0(3(0(0(3(0(z0)))))))))), 1'(1(0(0(3(0(0(3(0(z0))))))))), 1'(0(0(3(0(0(3(0(z0)))))))), 0'(0(3(0(0(3(0(z0))))))), 0'(3(0(0(3(0(z0)))))), 3'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c83(3'(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))))), 0'(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))), 0'(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))), 0'(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))), 2'(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))), 0'(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))), 1'(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))), 3'(2(1(2(1(2(2(2(1(3(2(z0))))))))))), 2'(1(2(1(2(2(2(1(3(2(z0)))))))))), 1'(2(1(2(2(2(1(3(2(z0))))))))), 2'(1(2(2(2(1(3(2(z0)))))))), 1'(2(2(2(1(3(2(z0))))))), 2'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 2_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 4 leading nodes:
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(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))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))))), 2'(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))), 2'(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))), 2'(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))), 2'(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))), 0'(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))), 2'(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))), 1'(0(3(1(1(0(0(2(2(1(1(z0))))))))))), 0'(3(1(1(0(0(2(2(1(1(z0)))))))))), 3'(1(1(0(0(2(2(1(1(z0))))))))), 1'(1(0(0(2(2(1(1(z0)))))))), 1'(0(0(2(2(1(1(z0))))))), 0'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> c19(0'(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))))), 2'(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))), 2'(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))), 1'(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))), 0'(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))), 1'(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))), 1'(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))), 3'(3(3(0(0(2(2(2(2(3(0(z0))))))))))), 3'(3(0(0(2(2(2(2(3(0(z0)))))))))), 3'(0(0(2(2(2(2(3(0(z0))))))))), 0'(0(2(2(2(2(3(0(z0)))))))), 0'(2(2(2(2(3(0(z0))))))), 2'(2(2(2(3(0(z0)))))), 2'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c20(0'(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))))))))), 1'(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))), 3'(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))))))), 2'(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))), 2'(1(0(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))))), 1'(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))), 0'(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))), 3'(1(2(0(2(0(0(1(0(3(2(z0))))))))))), 1'(2(0(2(0(0(1(0(3(2(z0)))))))))), 2'(0(2(0(0(1(0(3(2(z0))))))))), 0'(2(0(0(1(0(3(2(z0)))))))), 2'(0(0(1(0(3(2(z0))))))), 0'(0(1(0(3(2(z0)))))), 0'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 2_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_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_3(z0) -> 3(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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(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))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c79(3'(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))))))), 1'(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))), 3'(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))))), 3'(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))), 2'(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))), 0'(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))), 3'(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))), 1'(2(0(0(3(0(0(3(3(0(0(z0))))))))))), 2'(0(0(3(0(0(3(3(0(0(z0)))))))))), 0'(0(3(0(0(3(3(0(0(z0))))))))), 0'(3(0(0(3(3(0(0(z0)))))))), 3'(0(0(3(3(0(0(z0))))))), 0'(0(3(3(0(0(z0)))))), 0'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> c80(3'(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))))))), 1'(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))), 1'(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))))), 1'(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))), 2'(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))), 2'(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))), 0'(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))), 3'(2(2(3(0(0(3(2(2(0(3(z0))))))))))), 2'(2(3(0(0(3(2(2(0(3(z0)))))))))), 2'(3(0(0(3(2(2(0(3(z0))))))))), 3'(0(0(3(2(2(0(3(z0)))))))), 0'(0(3(2(2(0(3(z0))))))), 0'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c81(3'(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))))), 1'(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))), 1'(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))), 0'(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))), 0'(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))), 3'(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))), 0'(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))), 3'(1(0(3(0(1(2(2(0(3(3(z0))))))))))), 1'(0(3(0(1(2(2(0(3(3(z0)))))))))), 0'(3(0(1(2(2(0(3(3(z0))))))))), 3'(0(1(2(2(0(3(3(z0)))))))), 0'(1(2(2(0(3(3(z0))))))), 1'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c82(3'(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))))), 2'(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))), 2'(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))), 3'(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))), 2'(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))), 0'(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))), 1'(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(3(0(z0))))))))))), 2'(1(1(0(0(3(0(0(3(0(z0)))))))))), 1'(1(0(0(3(0(0(3(0(z0))))))))), 1'(0(0(3(0(0(3(0(z0)))))))), 0'(0(3(0(0(3(0(z0))))))), 0'(3(0(0(3(0(z0)))))), 3'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c83(3'(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))))), 0'(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))), 0'(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))), 0'(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))), 2'(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))), 0'(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))), 1'(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))), 3'(2(1(2(1(2(2(2(1(3(2(z0))))))))))), 2'(1(2(1(2(2(2(1(3(2(z0)))))))))), 1'(2(1(2(2(2(1(3(2(z0))))))))), 2'(1(2(2(2(1(3(2(z0)))))))), 1'(2(2(2(1(3(2(z0))))))), 2'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))))), 2'(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))), 2'(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))), 2'(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))), 2'(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))), 0'(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))), 2'(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))), 1'(0(3(1(1(0(0(2(2(1(1(z0))))))))))), 0'(3(1(1(0(0(2(2(1(1(z0)))))))))), 3'(1(1(0(0(2(2(1(1(z0))))))))), 1'(1(0(0(2(2(1(1(z0)))))))), 1'(0(0(2(2(1(1(z0))))))), 0'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> c19(0'(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))))), 2'(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))), 2'(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))), 1'(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))), 0'(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))), 1'(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))), 1'(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))), 3'(3(3(0(0(2(2(2(2(3(0(z0))))))))))), 3'(3(0(0(2(2(2(2(3(0(z0)))))))))), 3'(0(0(2(2(2(2(3(0(z0))))))))), 0'(0(2(2(2(2(3(0(z0)))))))), 0'(2(2(2(2(3(0(z0))))))), 2'(2(2(2(3(0(z0)))))), 2'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c20(0'(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))))))))), 1'(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))), 3'(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))))))), 2'(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))), 2'(1(0(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))))), 1'(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))), 0'(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))), 3'(1(2(0(2(0(0(1(0(3(2(z0))))))))))), 1'(2(0(2(0(0(1(0(3(2(z0)))))))))), 2'(0(2(0(0(1(0(3(2(z0))))))))), 0'(2(0(0(1(0(3(2(z0)))))))), 2'(0(0(1(0(3(2(z0))))))), 0'(0(1(0(3(2(z0)))))), 0'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c21(0'(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))))))))), 1'(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))), 3'(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))))))), 0'(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))), 0'(3(2(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))))), 3'(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))), 2'(0(1(1(0(3(2(2(0(2(1(3(z0)))))))))))), 0'(1(1(0(3(2(2(0(2(1(3(z0))))))))))), 1'(1(0(3(2(2(0(2(1(3(z0)))))))))), 1'(0(3(2(2(0(2(1(3(z0))))))))), 0'(3(2(2(0(2(1(3(z0)))))))), 3'(2(2(0(2(1(3(z0))))))), 2'(2(0(2(1(3(z0)))))), 2'(0(2(1(3(z0))))), 0'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c81(3'(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))))), 1'(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))), 1'(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))), 0'(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))), 0'(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))), 3'(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))), 0'(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))), 3'(1(0(3(0(1(2(2(0(3(3(z0))))))))))), 1'(0(3(0(1(2(2(0(3(3(z0)))))))))), 0'(3(0(1(2(2(0(3(3(z0))))))))), 3'(0(1(2(2(0(3(3(z0)))))))), 0'(1(2(2(0(3(3(z0))))))), 1'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c82(3'(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))))), 2'(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))), 2'(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))), 3'(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))), 2'(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))), 0'(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))), 1'(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(3(0(z0))))))))))), 2'(1(1(0(0(3(0(0(3(0(z0)))))))))), 1'(1(0(0(3(0(0(3(0(z0))))))))), 1'(0(0(3(0(0(3(0(z0)))))))), 0'(0(3(0(0(3(0(z0))))))), 0'(3(0(0(3(0(z0)))))), 3'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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(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)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(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_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c82(3'(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))))), 2'(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))), 2'(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))), 3'(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))), 2'(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))), 0'(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))), 1'(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(3(0(z0))))))))))), 2'(1(1(0(0(3(0(0(3(0(z0)))))))))), 1'(1(0(0(3(0(0(3(0(z0))))))))), 1'(0(0(3(0(0(3(0(z0)))))))), 0'(0(3(0(0(3(0(z0))))))), 0'(3(0(0(3(0(z0)))))), 3'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c83(3'(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))))), 0'(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))), 0'(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))), 0'(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))), 2'(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))), 0'(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))), 1'(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))), 3'(2(1(2(1(2(2(2(1(3(2(z0))))))))))), 2'(1(2(1(2(2(2(1(3(2(z0)))))))))), 1'(2(1(2(2(2(1(3(2(z0))))))))), 2'(1(2(2(2(1(3(2(z0)))))))), 1'(2(2(2(1(3(2(z0))))))), 2'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_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)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))))), 2'(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))), 2'(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))), 2'(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))), 2'(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))), 0'(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))), 2'(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))), 1'(0(3(1(1(0(0(2(2(1(1(z0))))))))))), 0'(3(1(1(0(0(2(2(1(1(z0)))))))))), 3'(1(1(0(0(2(2(1(1(z0))))))))), 1'(1(0(0(2(2(1(1(z0)))))))), 1'(0(0(2(2(1(1(z0))))))), 0'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> c19(0'(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))))), 2'(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))), 2'(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))), 1'(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))), 0'(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))), 1'(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))), 1'(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))), 3'(3(3(0(0(2(2(2(2(3(0(z0))))))))))), 3'(3(0(0(2(2(2(2(3(0(z0)))))))))), 3'(0(0(2(2(2(2(3(0(z0))))))))), 0'(0(2(2(2(2(3(0(z0)))))))), 0'(2(2(2(2(3(0(z0))))))), 2'(2(2(2(3(0(z0)))))), 2'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c20(0'(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))))))))), 1'(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))), 3'(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))))))), 2'(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))), 2'(1(0(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))))), 1'(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))), 0'(3(1(2(0(2(0(0(1(0(3(2(z0)))))))))))), 3'(1(2(0(2(0(0(1(0(3(2(z0))))))))))), 1'(2(0(2(0(0(1(0(3(2(z0)))))))))), 2'(0(2(0(0(1(0(3(2(z0))))))))), 0'(2(0(0(1(0(3(2(z0)))))))), 2'(0(0(1(0(3(2(z0))))))), 0'(0(1(0(3(2(z0)))))), 0'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(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_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(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_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_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)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c79(3'(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))))))), 1'(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))), 3'(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))))), 3'(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))), 2'(0(3(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))))), 0'(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))), 3'(1(2(0(0(3(0(0(3(3(0(0(z0)))))))))))), 1'(2(0(0(3(0(0(3(3(0(0(z0))))))))))), 2'(0(0(3(0(0(3(3(0(0(z0)))))))))), 0'(0(3(0(0(3(3(0(0(z0))))))))), 0'(3(0(0(3(3(0(0(z0)))))))), 3'(0(0(3(3(0(0(z0))))))), 0'(0(3(3(0(0(z0)))))), 0'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> c80(3'(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))))))), 1'(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))), 1'(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))))), 1'(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))), 2'(2(0(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))))), 2'(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))), 0'(3(2(2(3(0(0(3(2(2(0(3(z0)))))))))))), 3'(2(2(3(0(0(3(2(2(0(3(z0))))))))))), 2'(2(3(0(0(3(2(2(0(3(z0)))))))))), 2'(3(0(0(3(2(2(0(3(z0))))))))), 3'(0(0(3(2(2(0(3(z0)))))))), 0'(0(3(2(2(0(3(z0))))))), 0'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c81(3'(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))))), 1'(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))), 1'(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))), 0'(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))), 0'(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))), 3'(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))), 0'(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))), 3'(1(0(3(0(1(2(2(0(3(3(z0))))))))))), 1'(0(3(0(1(2(2(0(3(3(z0)))))))))), 0'(3(0(1(2(2(0(3(3(z0))))))))), 3'(0(1(2(2(0(3(3(z0)))))))), 0'(1(2(2(0(3(3(z0))))))), 1'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c82(3'(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))))), 2'(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))), 2'(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))), 3'(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))), 2'(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))), 0'(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))), 1'(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(3(0(z0))))))))))), 2'(1(1(0(0(3(0(0(3(0(z0)))))))))), 1'(1(0(0(3(0(0(3(0(z0))))))))), 1'(0(0(3(0(0(3(0(z0)))))))), 0'(0(3(0(0(3(0(z0))))))), 0'(3(0(0(3(0(z0)))))), 3'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c83(3'(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))))), 0'(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))), 0'(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))), 0'(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))), 2'(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))), 0'(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))), 1'(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))), 3'(2(1(2(1(2(2(2(1(3(2(z0))))))))))), 2'(1(2(1(2(2(2(1(3(2(z0)))))))))), 1'(2(1(2(2(2(1(3(2(z0))))))))), 2'(1(2(2(2(1(3(2(z0)))))))), 1'(2(2(2(1(3(2(z0))))))), 2'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(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_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(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_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(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)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
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   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))))), 2'(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))), 2'(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))), 2'(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))), 2'(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))), 0'(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))), 2'(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))), 1'(0(3(1(1(0(0(2(2(1(1(z0))))))))))), 0'(3(1(1(0(0(2(2(1(1(z0)))))))))), 3'(1(1(0(0(2(2(1(1(z0))))))))), 1'(1(0(0(2(2(1(1(z0)))))))), 1'(0(0(2(2(1(1(z0))))))), 0'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> c19(0'(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))))), 2'(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))), 2'(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))), 1'(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))), 0'(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))), 1'(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))), 1'(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))), 3'(3(3(0(0(2(2(2(2(3(0(z0))))))))))), 3'(3(0(0(2(2(2(2(3(0(z0)))))))))), 3'(0(0(2(2(2(2(3(0(z0))))))))), 0'(0(2(2(2(2(3(0(z0)))))))), 0'(2(2(2(2(3(0(z0))))))), 2'(2(2(2(3(0(z0)))))), 2'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c81(3'(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))))), 1'(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))), 1'(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))), 0'(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))), 0'(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))), 3'(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))), 0'(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))), 3'(1(0(3(0(1(2(2(0(3(3(z0))))))))))), 1'(0(3(0(1(2(2(0(3(3(z0)))))))))), 0'(3(0(1(2(2(0(3(3(z0))))))))), 3'(0(1(2(2(0(3(3(z0)))))))), 0'(1(2(2(0(3(3(z0))))))), 1'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c82(3'(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))))), 2'(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))), 2'(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))), 3'(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))), 2'(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))), 0'(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))), 1'(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(3(0(z0))))))))))), 2'(1(1(0(0(3(0(0(3(0(z0)))))))))), 1'(1(0(0(3(0(0(3(0(z0))))))))), 1'(0(0(3(0(0(3(0(z0)))))))), 0'(0(3(0(0(3(0(z0))))))), 0'(3(0(0(3(0(z0)))))), 3'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2


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(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))

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(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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))))
Tuples:
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(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_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(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_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(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)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> c81(3'(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))))), 1'(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))), 1'(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))))), 0'(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))), 0'(3(0(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))))), 3'(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))), 0'(3(1(0(3(0(1(2(2(0(3(3(z0)))))))))))), 3'(1(0(3(0(1(2(2(0(3(3(z0))))))))))), 1'(0(3(0(1(2(2(0(3(3(z0)))))))))), 0'(3(0(1(2(2(0(3(3(z0))))))))), 3'(0(1(2(2(0(3(3(z0)))))))), 0'(1(2(2(0(3(3(z0))))))), 1'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c82(3'(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))))), 2'(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))), 2'(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))))), 3'(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))), 2'(0(1(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))))), 0'(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))), 1'(1(2(1(1(0(0(3(0(0(3(0(z0)))))))))))), 1'(2(1(1(0(0(3(0(0(3(0(z0))))))))))), 2'(1(1(0(0(3(0(0(3(0(z0)))))))))), 1'(1(0(0(3(0(0(3(0(z0))))))))), 1'(0(0(3(0(0(3(0(z0)))))))), 0'(0(3(0(0(3(0(z0))))))), 0'(3(0(0(3(0(z0)))))), 3'(0(0(3(0(z0))))), 0'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c83(3'(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))))), 0'(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))), 0'(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))))), 0'(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))), 2'(0(1(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))))), 0'(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))), 1'(3(2(1(2(1(2(2(2(1(3(2(z0)))))))))))), 3'(2(1(2(1(2(2(2(1(3(2(z0))))))))))), 2'(1(2(1(2(2(2(1(3(2(z0)))))))))), 1'(2(1(2(2(2(1(3(2(z0))))))))), 2'(1(2(2(2(1(3(2(z0)))))))), 1'(2(2(2(1(3(2(z0))))))), 2'(2(2(1(3(2(z0)))))), 2'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c84(3'(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))))), 2'(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))), 2'(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))))), 2'(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))), 0'(3(2(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))))), 3'(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))), 2'(3(0(3(0(3(1(0(2(2(0(3(z0)))))))))))), 3'(0(3(0(3(1(0(2(2(0(3(z0))))))))))), 0'(3(0(3(1(0(2(2(0(3(z0)))))))))), 3'(0(3(1(0(2(2(0(3(z0))))))))), 0'(3(1(0(2(2(0(3(z0)))))))), 3'(1(0(2(2(0(3(z0))))))), 1'(0(2(2(0(3(z0)))))), 0'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c85(0'(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))))), 3'(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))), 1'(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))))), 1'(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))), 2'(2(1(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))))), 2'(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))), 1'(2(1(3(0(3(1(1(0(0(1(1(z0)))))))))))), 2'(1(3(0(3(1(1(0(0(1(1(z0))))))))))), 1'(3(0(3(1(1(0(0(1(1(z0)))))))))), 3'(0(3(1(1(0(0(1(1(z0))))))))), 0'(3(1(1(0(0(1(1(z0)))))))), 3'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> c86(3'(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))))), 0'(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))), 3'(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))))), 0'(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))), 3'(2(2(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))))), 2'(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))), 2'(2(3(3(0(3(3(3(2(1(0(2(z0)))))))))))), 2'(3(3(0(3(3(3(2(1(0(2(z0))))))))))), 3'(3(0(3(3(3(2(1(0(2(z0)))))))))), 3'(0(3(3(3(2(1(0(2(z0))))))))), 0'(3(3(3(2(1(0(2(z0)))))))), 3'(3(3(2(1(0(2(z0))))))), 3'(3(2(1(0(2(z0)))))), 3'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> c87(3'(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))))), 1'(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))), 1'(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))))), 3'(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))), 2'(1(0(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))))), 1'(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))), 0'(0(2(2(2(2(1(2(0(1(0(2(z0)))))))))))), 0'(2(2(2(2(1(2(0(1(0(2(z0))))))))))), 2'(2(2(2(1(2(0(1(0(2(z0)))))))))), 2'(2(2(1(2(0(1(0(2(z0))))))))), 2'(2(1(2(0(1(0(2(z0)))))))), 2'(1(2(0(1(0(2(z0))))))), 1'(2(0(1(0(2(z0)))))), 2'(0(1(0(2(z0))))), 0'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c88(3'(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))))), 1'(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))), 1'(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))))), 1'(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))), 0'(2(2(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))))), 2'(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))), 2'(3(0(3(3(0(3(1(1(3(0(1(z0)))))))))))), 3'(0(3(3(0(3(1(1(3(0(1(z0))))))))))), 0'(3(3(0(3(1(1(3(0(1(z0)))))))))), 3'(3(0(3(1(1(3(0(1(z0))))))))), 3'(0(3(1(1(3(0(1(z0)))))))), 0'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c89(3'(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))))), 2'(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))), 3'(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))))), 0'(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))), 2'(2(1(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))))), 2'(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))), 1'(3(1(2(2(2(0(1(2(2(2(2(z0)))))))))))), 3'(1(2(2(2(0(1(2(2(2(2(z0))))))))))), 1'(2(2(2(0(1(2(2(2(2(z0)))))))))), 2'(2(2(0(1(2(2(2(2(z0))))))))), 2'(2(0(1(2(2(2(2(z0)))))))), 2'(0(1(2(2(2(2(z0))))))), 0'(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))
   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2, c3_2


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(z0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(z0))))))))))), 3'(2(0(1(3(1(2(0(3(2(z0)))))))))), 2'(0(1(3(1(2(0(3(2(z0))))))))), 0'(1(3(1(2(0(3(2(z0)))))))), 1'(3(1(2(0(3(2(z0))))))), 3'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0)) by 
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(c_3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(3(c_1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
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   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))))))))))))), 3'(2(0(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))))))), 2'(0(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))))))))))), 0'(1(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))))), 1'(3(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))))))))), 3'(1(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))), 1'(2(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))))))), 2'(0(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0))))))))))))))))))))), 0'(3(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))))), 3'(2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0))))))))))))))))))), 2'(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))), 3'(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))), 2'(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))), 0'(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))), 1'(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))), 3'(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))), 1'(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))), 2'(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))), 0'(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))), 3'(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))), 2'(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))

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

(56)
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))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(z0))))))))))))))))))
   0(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 0(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 0(1(3(2(2(1(0(3(1(2(0(2(0(0(1(0(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(1(3(0(0(3(2(0(1(1(0(3(2(2(0(2(1(3(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(3(3(1(2(1(2(3(2(0(2(0(2(2(1(0(1(z0))))))))))))))))))
   0(c_0(c_2(c_3(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(2(3(1(0(2(0(3(0(0(3(2(3(0(3(1(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(0(1(3(0(3(0(1(3(1(1(3(1(3(0(2(2(2(z0))))))))))))))))))
   0(c_3(c_3(c_3(c_3(c_0(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(3(2(0(3(3(3(3(0(3(3(0(3(3(2(2(3(3(z0))))))))))))))))))
   0(c_1(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(3(1(3(2(2(3(2(0(2(1(3(2(0(3(1(2(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_3(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(0(3(1(3(3(3(0(0(1(1(3(0(0(1(0(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_3(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_3(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(2(3(1(3(1(2(0(2(1(3(1(0(2(2(1(3(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_2(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 2(2(2(2(1(1(0(1(3(1(1(3(1(3(2(2(2(0(z0))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(0(1(3(1(2(1(0(3(2(0(1(1(3(2(1(1(0(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(2(2(1(3(3(1(2(2(3(2(0(3(1(0(3(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(2(0(0(2(1(1(0(3(2(2(0(0(1(2(0(2(z0))))))))))))))))))
   1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))) -> 0(2(2(0(2(2(3(1(1(1(1(3(0(2(1(1(1(1(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_3(c_3(c_0(c_1(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(0(1(1(3(0(3(0(3(1(0(3(0(1(1(z0))))))))))))))))))
   1(c_0(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(0(1(1(1(3(3(2(1(0(3(1(3(0(1(1(3(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_2(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_3(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(0(3(3(1(1(2(2(1(0(3(0(3(1(1(2(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(2(0(1(0(1(1(1(1(3(2(2(3(1(z0))))))))))))))))))
   1(c_3(c_3(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(0(3(0(3(0(1(2(3(2(1(0(3(2(2(3(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(1(2(2(2(2(3(1(1(1(3(2(2(3(3(1(0(3(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(c_1(c_3(c_1(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 1(3(1(1(0(3(2(2(1(1(3(1(1(1(1(2(0(3(z0))))))))))))))))))
   1(c_2(c_3(c_3(c_1(c_3(c_3(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(1(3(3(1(2(2(1(3(2(3(3(1(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_3(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(0(3(1(3(0(1(3(1(1(3(0(0(3(1(2(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_3(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(3(2(3(3(3(2(2(2(0(0(3(1(0(3(1(0(2(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_3(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(1(3(3(3(0(3(2(0(2(3(1(2(2(2(0(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(3(1(2(0(2(3(1(1(1(3(2(2(0(0(1(3(z0))))))))))))))))))
   1(c_2(c_1(c_1(c_1(c_0(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(1(1(1(2(1(2(2(0(1(1(1(3(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(0(0(3(2(1(2(1(1(2(1(3(1(1(1(3(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))) -> 1(0(1(1(1(3(2(2(1(2(1(3(1(1(0(0(0(0(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_3(c_3(c_0(c_1(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(0(0(1(1(2(2(2(1(2(0(3(3(2(0(0(0(2(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(1(3(3(1(3(3(3(3(3(2(2(3(3(3(0(1(1(z0))))))))))))))))))
   1(c_2(c_0(c_1(c_2(c_3(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(1(3(1(0(3(2(2(3(2(2(0(1(3(3(1(3(2(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(0(1(1(1(1(1(3(2(0(0(1(1(1(1(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_0(c_3(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 2(0(0(3(1(3(1(1(2(0(3(2(0(1(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(2(2(1(2(1(2(0(0(3(3(3(2(0(3(1(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(2(1(3(1(0(0(3(3(0(1(3(0(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_3(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(3(1(2(1(2(0(1(1(1(3(0(3(3(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(0(2(2(2(2(2(0(3(1(3(2(2(1(2(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_2(c_0(c_1(c_1(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(1(3(3(3(1(2(1(3(1(1(3(0(3(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(3(1(0(1(3(0(3(0(2(2(0(0(2(2(2(z0))))))))))))))))))
   2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(0(0(0(0(3(0(3(2(3(2(2(1(1(0(0(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(1(0(2(2(3(1(0(3(0(3(1(2(3(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(2(1(1(0(3(2(0(0(0(2(1(3(2(0(2(2(1(z0))))))))))))))))))
   2(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(0(2(3(1(0(2(0(2(1(3(0(2(0(2(0(0(2(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_1(c_3(c_3(c_0(c_1(c_3(c_1(c_1(c_3(c_3(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(3(2(1(3(1(0(0(3(2(1(3(3(1(3(2(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_0(c_2(c_3(c_0(c_3(c_3(c_1(c_2(z0)))))))))))))))))) -> 2(2(0(2(0(2(1(3(0(0(3(1(3(0(0(3(1(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 2(2(0(2(1(2(3(1(0(1(1(3(2(2(0(1(1(3(z0))))))))))))))))))
   2(c_3(c_2(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(3(2(2(0(2(1(1(2(3(2(0(3(0(2(1(1(0(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_3(c_3(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(0(0(2(3(3(2(3(2(0(1(1(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(1(3(2(1(1(0(3(0(1(2(0(0(z0))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_3(c_2(c_2(c_2(c_3(c_3(c_3(c_0(c_2(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(0(3(1(3(3(1(2(2(3(2(2(2(z0))))))))))))))))))
   2(c_2(c_3(c_0(c_3(c_1(c_2(c_2(c_0(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(1(1(2(2(0(3(0(3(3(2(0(3(2(0(2(2(3(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(2(3(0(3(1(3(1(3(0(2(2(2(1(3(3(3(2(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(2(2(0(0(2(2(3(2(1(1(1(2(2(2(2(2(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_2(c_3(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(2(2(2(3(2(2(2(2(0(3(2(1(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(0(3(1(2(0(0(3(0(0(3(3(0(0(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_3(z0)))))))))))))))))) -> 3(1(1(1(2(2(0(3(2(2(3(0(0(3(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_1(c_0(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(3(1(0(3(0(1(2(2(0(3(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(2(2(3(2(0(1(1(2(1(1(0(0(3(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_1(c_2(c_3(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(0(0(2(0(1(3(2(1(2(1(2(2(2(1(3(2(z0))))))))))))))))))
   3(c_3(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_3(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(2(2(2(0(3(2(3(0(3(0(3(1(0(2(2(0(3(z0))))))))))))))))))
   3(c_0(c_3(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(3(1(1(2(2(1(2(1(3(0(3(1(1(0(0(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_2(c_2(c_3(c_2(c_3(c_0(c_0(c_2(z0)))))))))))))))))) -> 3(0(3(0(3(2(2(2(3(3(0(3(3(3(2(1(0(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 3(1(1(3(2(1(0(0(2(2(2(2(1(2(0(1(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(1(0(2(2(3(0(3(3(0(3(1(1(3(0(1(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(0(2(2(1(3(1(2(2(2(0(1(2(2(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))))
Tuples:
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c13(1'(0(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))))), 0'(2(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))))), 2'(3(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))))), 3'(1(0(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))))), 1'(0(3(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))))), 0'(3(1(1(3(0(0(3(2(3(2(2(2(z0))))))))))))), 3'(1(1(3(0(0(3(2(3(2(2(2(z0)))))))))))), 1'(1(3(0(0(3(2(3(2(2(2(z0))))))))))), 1'(3(0(0(3(2(3(2(2(2(z0)))))))))), 3'(0(0(3(2(3(2(2(2(z0))))))))), 0'(0(3(2(3(2(2(2(z0)))))))), 0'(3(2(3(2(2(2(z0))))))), 3'(2(3(2(2(2(z0)))))), 2'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c14(0'(0(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))))), 0'(0(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))))), 0'(0(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))))), 0'(1(1(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))))), 1'(1(1(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))))), 1'(1(3(2(1(1(3(0(3(1(0(2(0(z0))))))))))))), 1'(3(2(1(1(3(0(3(1(0(2(0(z0)))))))))))), 3'(2(1(1(3(0(3(1(0(2(0(z0))))))))))), 2'(1(1(3(0(3(1(0(2(0(z0)))))))))), 1'(1(3(0(3(1(0(2(0(z0))))))))), 1'(3(0(3(1(0(2(0(z0)))))))), 3'(0(3(1(0(2(0(z0))))))), 0'(3(1(0(2(0(z0)))))), 3'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c15(0'(2(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(3(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))))), 3'(3(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))))), 3'(2(2(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))))), 2'(2(2(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))))), 2'(2(1(1(2(0(0(1(1(2(2(0(1(z0))))))))))))), 2'(1(1(2(0(0(1(1(2(2(0(1(z0)))))))))))), 1'(1(2(0(0(1(1(2(2(0(1(z0))))))))))), 1'(2(0(0(1(1(2(2(0(1(z0)))))))))), 2'(0(0(1(1(2(2(0(1(z0))))))))), 0'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_3(c_0(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c16(2'(0(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))))), 0'(3(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))))), 3'(1(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))))), 1'(1(1(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))))), 1'(1(1(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))))), 1'(1(1(2(2(2(1(1(0(2(2(3(2(z0))))))))))))), 1'(1(2(2(2(1(1(0(2(2(3(2(z0)))))))))))), 1'(2(2(2(1(1(0(2(2(3(2(z0))))))))))), 2'(2(2(1(1(0(2(2(3(2(z0)))))))))), 2'(2(1(1(0(2(2(3(2(z0))))))))), 2'(1(1(0(2(2(3(2(z0)))))))), 1'(1(0(2(2(3(2(z0))))))), 1'(0(2(2(3(2(z0)))))), 0'(2(2(3(2(z0))))), 2'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_2(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_2(c_3(c_3(c_3(c_2(c_2(z0)))))))))))))))))) -> c17(0'(2(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))))), 2'(0(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))))), 0'(3(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))))), 3'(3(2(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))))), 3'(2(0(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))))), 2'(0(2(3(3(1(0(2(2(2(0(3(2(z0))))))))))))), 0'(2(3(3(1(0(2(2(2(0(3(2(z0)))))))))))), 2'(3(3(1(0(2(2(2(0(3(2(z0))))))))))), 3'(3(1(0(2(2(2(0(3(2(z0)))))))))), 3'(1(0(2(2(2(0(3(2(z0))))))))), 1'(0(2(2(2(0(3(2(z0)))))))), 0'(2(2(2(0(3(2(z0))))))), 2'(2(2(0(3(2(z0)))))), 2'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_1(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))))), 2'(2(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))))), 2'(2(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))))), 2'(2(0(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))))), 2'(0(2(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))))), 0'(2(1(0(3(1(1(0(0(2(2(1(1(z0))))))))))))), 2'(1(0(3(1(1(0(0(2(2(1(1(z0)))))))))))), 1'(0(3(1(1(0(0(2(2(1(1(z0))))))))))), 0'(3(1(1(0(0(2(2(1(1(z0)))))))))), 3'(1(1(0(0(2(2(1(1(z0))))))))), 1'(1(0(0(2(2(1(1(z0)))))))), 1'(0(0(2(2(1(1(z0))))))), 0'(0(2(2(1(1(z0)))))), 0'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> c19(0'(2(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))))), 2'(2(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))))), 2'(1(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))))), 1'(0(1(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))))), 0'(1(1(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))))), 1'(1(3(3(3(0(0(2(2(2(2(3(0(z0))))))))))))), 1'(3(3(3(0(0(2(2(2(2(3(0(z0)))))))))))), 3'(3(3(0(0(2(2(2(2(3(0(z0))))))))))), 3'(3(0(0(2(2(2(2(3(0(z0)))))))))), 3'(0(0(2(2(2(2(3(0(z0))))))))), 0'(0(2(2(2(2(3(0(z0)))))))), 0'(2(2(2(2(3(0(z0))))))), 2'(2(2(2(3(0(z0)))))), 2'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   3'(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(3'(0(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))))), 0'(2(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))))), 2'(3(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))))), 3'(3(2(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))))), 3'(2(2(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))))), 2'(2(2(2(2(1(0(0(1(3(0(3(1(z0))))))))))))), 2'(2(2(2(1(0(0(1(3(0(3(1(z0)))))))))))), 2'(2(2(1(0(0(1(3(0(3(1(z0))))))))))), 2'(2(1(0(0(1(3(0(3(1(z0)))))))))), 2'(1(0(0(1(3(0(3(1(z0))))))))), 1'(0(0(1(3(0(3(1(z0)))))))), 0'(0(1(3(0(3(1(z0))))))), 0'(1(3(0(3(1(z0)))))), 1'(3(0(3(1(z0))))), 3'(0(3(1(z0)))), 0'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_0(c_2(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_2(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(1(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))))), 1'(1(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))))), 1'(0(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))))), 0'(0(3(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))))), 0'(3(0(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))))), 3'(0(2(2(2(1(1(0(0(0(3(0(0(z0))))))))))))), 0'(2(2(2(1(1(0(0(0(3(0(0(z0)))))))))))), 2'(2(2(1(1(0(0(0(3(0(0(z0))))))))))), 2'(2(1(1(0(0(0(3(0(0(z0)))))))))), 2'(1(1(0(0(0(3(0(0(z0))))))))), 1'(1(0(0(0(3(0(0(z0)))))))), 1'(0(0(0(3(0(0(z0))))))), 0'(0(0(3(0(0(z0)))))), 0'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(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_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(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_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(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)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(c_3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(3(c_1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(3(1(c_0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(3(1(0(c_3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(3(1(0(3(c_2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(3(1(0(3(2(c_1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(c_1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(x0)))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(c_3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(x0))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(x0)))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(x0))))))))))), 3'(2(0(1(3(1(2(0(3(2(x0)))))))))), 2'(0(1(3(1(2(0(3(2(x0))))))))), 0'(1(3(1(2(0(3(2(x0)))))))), 1'(3(1(2(0(3(2(x0))))))), 3'(1(2(0(3(2(x0)))))), 1'(2(0(3(2(x0))))), 2'(0(3(2(x0)))), 0'(3(2(x0))), 3'(2(x0)), 2'(x0))
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   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))), 3'(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))), 2'(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))), 0'(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))), 1'(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))), 3'(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))), 1'(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))), 2'(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))), 0'(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))), 3'(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))), 2'(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))
S tuples:
   0'(c_3(c_3(c_0(c_1(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_0(z0)))))))))))))))))) -> c10(0'(2(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))))), 2'(1(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))))), 1'(3(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))))), 3'(3(1(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))))), 3'(1(3(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))))), 1'(3(1(3(1(1(0(0(0(0(3(1(0(z0))))))))))))), 3'(1(3(1(1(0(0(0(0(3(1(0(z0)))))))))))), 1'(3(1(1(0(0(0(0(3(1(0(z0))))))))))), 3'(1(1(0(0(0(0(3(1(0(z0)))))))))), 1'(1(0(0(0(0(3(1(0(z0))))))))), 1'(0(0(0(0(3(1(0(z0)))))))), 0'(0(0(0(3(1(0(z0))))))), 0'(0(0(3(1(0(z0)))))), 0'(0(3(1(0(z0))))), 0'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_2(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_0(c_0(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> c11(2'(2(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))))), 2'(2(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))))), 2'(0(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))))), 1'(3(0(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))))), 3'(0(3(3(1(0(3(0(3(2(2(1(3(z0))))))))))))), 0'(3(3(1(0(3(0(3(2(2(1(3(z0)))))))))))), 3'(3(1(0(3(0(3(2(2(1(3(z0))))))))))), 3'(1(0(3(0(3(2(2(1(3(z0)))))))))), 1'(0(3(0(3(2(2(1(3(z0))))))))), 0'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_1(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c12(0'(3(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))))), 3'(1(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))))), 1'(2(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))))), 2'(0(0(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))))), 0'(0(2(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))))), 0'(2(3(1(3(2(3(1(1(1(2(3(2(z0))))))))))))), 2'(3(1(3(2(3(1(1(1(2(3(2(z0)))))))))))), 3'(1(3(2(3(1(1(1(2(3(2(z0))))))))))), 1'(3(2(3(1(1(1(2(3(2(z0)))))))))), 3'(2(3(1(1(1(2(3(2(z0))))))))), 2'(3(1(1(1(2(3(2(z0)))))))), 3'(1(1(1(2(3(2(z0))))))), 1'(1(1(2(3(2(z0)))))), 1'(1(2(3(2(z0))))), 1'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   0'(c_2(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(1'(3(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(1(1(1(3(1(0(3(1(2(3(3(2(0(3(2(2(2(z0))))))))))))))))))))))))))))))))))), 3'(1(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))))), 1'(0(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))), 0'(3(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))), 3'(2(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))), 2'(1(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))), 1'(1(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))))), 1'(3(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))))), 3'(2(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))))), 2'(0(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))))), 0'(1(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))))), 1'(3(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))))), 3'(1(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))))), 1'(2(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))))), 2'(0(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))))), 0'(3(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))), 3'(2(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0))))))))))))))))))), 2'(c_3(c_3(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_3(c_3(c_2(c_2(z0)))))))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2, c3_2, c9_18