/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 61 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), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1666 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 3 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1629 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 70 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 77 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 11 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1179 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 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), 7432 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2254 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2278 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2274 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2311 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5967 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6180 ms]
        (58) 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(0(0(3(0(0(1(3(1(3(1(2(3(1(3(1(x1)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(x1))))))))))))))))))
   0(0(0(1(1(1(3(1(2(1(2(0(3(0(2(3(1(2(x1)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(x1))))))))))))))))))
   0(0(0(1(2(3(1(0(3(2(3(0(0(3(3(1(2(2(x1)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(x1))))))))))))))))))
   0(0(0(2(0(2(2(3(3(0(3(1(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(x1))))))))))))))))))
   0(0(0(3(1(0(2(2(3(2(0(3(0(2(1(2(1(0(x1)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(x1))))))))))))))))))
   0(0(0(3(1(1(3(0(3(2(3(0(2(3(3(3(2(0(x1)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(x1))))))))))))))))))
   0(1(1(0(0(0(1(2(2(1(1(2(2(3(3(1(1(2(x1)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(x1))))))))))))))))))
   0(1(2(0(0(1(1(3(1(3(0(3(1(1(1(0(3(2(x1)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(x1))))))))))))))))))
   0(1(2(1(1(1(3(1(0(3(1(3(1(1(3(1(2(1(x1)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(x1))))))))))))))))))
   0(1(2(2(1(3(1(1(2(0(3(2(1(1(1(2(2(1(x1)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(x1))))))))))))))))))
   0(2(0(0(2(0(2(1(3(0(2(1(1(3(1(3(0(3(x1)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(x1))))))))))))))))))
   0(2(1(2(3(0(3(0(3(3(0(1(0(3(0(1(3(0(x1)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(x1))))))))))))))))))
   0(2(1(3(0(0(2(1(1(1(1(1(1(3(2(0(0(2(x1)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(x1))))))))))))))))))
   0(3(0(1(1(2(0(0(1(2(3(0(0(3(1(0(0(1(x1)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(x1))))))))))))))))))
   0(3(0(1(3(2(2(3(1(2(2(1(1(0(3(2(1(0(x1)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(x1))))))))))))))))))
   0(3(0(3(3(1(2(0(2(3(2(0(3(1(1(1(1(3(x1)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(x1))))))))))))))))))
   0(3(1(0(0(2(3(2(0(1(2(3(0(3(2(0(2(2(x1)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(x1))))))))))))))))))
   0(3(1(0(3(2(0(0(0(3(2(3(1(2(0(2(3(0(x1)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x1))))))))))))))))))
   0(3(2(0(0(0(0(1(3(1(0(3(1(3(3(0(1(2(x1)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(x1))))))))))))))))))
   0(3(2(0(1(2(3(0(2(2(3(1(3(2(3(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x1))))))))))))))))))
   0(3(2(2(2(0(0(3(1(3(1(0(3(1(0(3(0(0(x1)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(x1))))))))))))))))))
   1(0(1(2(1(0(2(2(0(0(1(1(1(0(3(1(2(0(x1)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(x1))))))))))))))))))
   1(0(2(0(2(0(0(2(1(1(1(1(2(2(3(1(2(0(x1)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(x1))))))))))))))))))
   1(0(3(1(1(2(0(1(2(3(1(1(3(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(x1))))))))))))))))))
   1(1(0(3(3(3(1(2(2(0(3(0(3(2(2(2(3(1(x1)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(x1))))))))))))))))))
   1(1(1(0(2(1(1(2(3(1(3(1(3(1(2(1(3(1(x1)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(x1))))))))))))))))))
   1(1(1(1(3(1(3(0(2(2(1(0(2(3(1(2(0(2(x1)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(x1))))))))))))))))))
   1(1(2(0(3(2(2(2(0(1(2(0(2(2(0(3(2(3(x1)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(x1))))))))))))))))))
   1(1(2(1(3(1(0(0(2(0(0(0(3(1(1(1(1(2(x1)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(x1))))))))))))))))))
   1(1(2(3(0(3(1(1(2(2(3(1(2(0(1(3(0(1(x1)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(x1))))))))))))))))))
   1(1(3(1(2(0(1(0(0(0(3(3(0(2(0(3(1(2(x1)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(x1))))))))))))))))))
   1(1(3(2(3(1(3(1(2(3(3(3(2(3(1(2(0(0(x1)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(x1))))))))))))))))))
   1(2(0(2(2(3(2(1(2(3(3(1(3(1(2(3(1(1(x1)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(x1))))))))))))))))))
   1(2(0(2(3(1(1(0(1(2(0(3(1(2(3(3(2(0(x1)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(x1))))))))))))))))))
   1(2(0(3(1(2(3(2(1(0(3(0(3(1(3(2(0(1(x1)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(x1))))))))))))))))))
   1(2(1(2(2(2(2(3(1(1(3(1(1(2(0(1(1(3(x1)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(x1))))))))))))))))))
   1(2(3(0(3(2(0(3(2(3(0(3(0(2(3(1(1(2(x1)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(x1))))))))))))))))))
   1(3(0(0(3(3(1(3(1(2(1(0(3(1(3(3(0(0(x1)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(x1))))))))))))))))))
   1(3(1(1(1(2(3(0(2(3(3(3(1(2(3(1(2(0(x1)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(x1))))))))))))))))))
   1(3(3(0(0(3(1(0(2(3(1(2(3(3(3(2(1(2(x1)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(x1))))))))))))))))))
   2(0(0(3(2(0(3(1(3(0(2(2(2(2(0(1(1(1(x1)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(x1))))))))))))))))))
   2(0(1(2(0(1(2(3(0(2(0(0(1(3(1(0(3(0(x1)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(x1))))))))))))))))))
   2(0(1(2(0(2(3(0(0(3(3(2(2(0(1(1(1(2(x1)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(x1))))))))))))))))))
   2(0(2(0(1(0(1(0(3(1(2(1(3(1(2(3(3(0(x1)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(x1))))))))))))))))))
   2(0(2(2(0(3(0(3(1(1(1(3(3(2(3(0(3(0(x1)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(x1))))))))))))))))))
   2(0(3(0(3(1(2(3(3(0(0(3(1(1(2(2(2(3(x1)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(x1))))))))))))))))))
   2(0(3(1(3(0(2(1(2(2(3(1(0(3(0(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(x1))))))))))))))))))
   2(0(3(3(1(1(3(2(3(3(1(2(2(0(3(1(3(3(x1)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(x1))))))))))))))))))
   2(1(1(1(2(3(0(2(0(0(3(1(0(0(3(2(2(0(x1)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(x1))))))))))))))))))
   2(1(3(1(2(0(1(3(1(2(2(2(1(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(x1))))))))))))))))))
   2(3(1(0(3(3(1(3(3(0(3(0(2(2(3(2(2(2(x1)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(x1))))))))))))))))))
   2(3(1(2(3(0(3(3(1(2(2(3(2(1(1(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(x1))))))))))))))))))
   2(3(2(3(3(2(3(2(3(2(0(0(1(3(1(1(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(x1))))))))))))))))))
   2(3(3(0(3(1(0(3(1(2(2(2(1(0(3(0(1(0(x1)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(x1))))))))))))))))))
   2(3(3(1(2(3(1(2(0(1(0(2(0(2(1(1(1(2(x1)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(x1))))))))))))))))))
   3(0(0(0(3(0(3(3(0(0(3(3(2(1(3(0(2(3(x1)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(x1))))))))))))))))))
   3(0(0(3(2(2(1(0(2(3(0(1(0(2(1(3(1(1(x1)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(x1))))))))))))))))))
   3(0(1(1(0(3(2(3(0(0(2(3(1(3(1(1(2(2(x1)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(x1))))))))))))))))))
   3(0(1(2(0(2(3(3(1(1(3(1(2(0(3(3(0(1(x1)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(x1))))))))))))))))))
   3(0(1(2(0(3(0(1(0(2(0(1(2(3(0(3(1(0(x1)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(x1))))))))))))))))))
   3(0(2(1(2(2(3(1(1(3(1(1(0(3(0(3(0(1(x1)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(x1))))))))))))))))))
   3(0(2(2(3(0(0(2(0(3(0(2(2(1(3(1(1(2(x1)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(x1))))))))))))))))))
   3(0(2(3(0(1(3(0(1(1(1(3(0(2(3(2(2(0(x1)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(x1))))))))))))))))))
   3(0(3(0(2(2(3(2(0(0(2(1(2(3(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(x1))))))))))))))))))
   3(0(3(2(1(3(0(0(2(3(0(1(2(0(3(2(2(0(x1)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(x1))))))))))))))))))
   3(1(1(0(3(2(3(1(3(1(1(3(2(2(3(1(3(2(x1)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(x1))))))))))))))))))
   3(1(1(1(1(3(1(2(1(3(0(0(0(3(0(1(3(0(x1)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(x1))))))))))))))))))
   3(1(1(3(0(3(0(1(1(1(1(3(1(2(0(0(1(3(x1)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(x1))))))))))))))))))
   3(1(1(3(0(3(3(1(3(1(1(1(3(1(0(3(0(0(x1)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(x1))))))))))))))))))
   3(1(2(1(2(0(2(3(1(2(2(0(2(0(3(2(1(0(x1)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(x1))))))))))))))))))
   3(1(2(2(3(0(0(3(1(2(3(1(2(3(3(2(1(0(x1)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(x1))))))))))))))))))
   3(1(2(3(2(2(0(3(1(2(3(2(3(1(3(1(3(3(x1)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(x1))))))))))))))))))
   3(1(3(1(2(0(2(0(3(1(3(2(2(1(0(3(3(0(x1)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(x1))))))))))))))))))
   3(2(0(0(3(2(3(2(1(3(0(3(3(0(3(0(1(0(x1)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(x1))))))))))))))))))
   3(2(0(3(1(0(2(2(2(1(2(0(3(1(1(1(2(3(x1)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(x1))))))))))))))))))
   3(2(1(2(2(0(3(3(0(2(2(0(0(2(3(1(0(0(x1)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(x1))))))))))))))))))
   3(2(3(0(1(2(0(1(0(3(3(0(0(1(1(3(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(x1))))))))))))))))))
   3(2(3(0(3(2(2(2(3(1(2(3(2(3(3(1(2(1(x1)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(x1))))))))))))))))))
   3(3(1(2(0(2(2(3(1(2(0(3(2(1(0(1(1(2(x1)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(x1))))))))))))))))))
   3(3(2(0(3(2(3(0(2(3(3(1(1(1(3(2(2(1(x1)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(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_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))


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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(0(0(3(0(0(1(3(1(3(1(2(3(1(3(1(x1)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(x1))))))))))))))))))
0(0(0(1(1(1(3(1(2(1(2(0(3(0(2(3(1(2(x1)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(x1))))))))))))))))))
0(0(0(1(2(3(1(0(3(2(3(0(0(3(3(1(2(2(x1)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(x1))))))))))))))))))
0(0(0(2(0(2(2(3(3(0(3(1(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(x1))))))))))))))))))
0(0(0(3(1(0(2(2(3(2(0(3(0(2(1(2(1(0(x1)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(x1))))))))))))))))))
0(0(0(3(1(1(3(0(3(2(3(0(2(3(3(3(2(0(x1)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(x1))))))))))))))))))
0(1(1(0(0(0(1(2(2(1(1(2(2(3(3(1(1(2(x1)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(x1))))))))))))))))))
0(1(2(0(0(1(1(3(1(3(0(3(1(1(1(0(3(2(x1)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(x1))))))))))))))))))
0(1(2(1(1(1(3(1(0(3(1(3(1(1(3(1(2(1(x1)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(x1))))))))))))))))))
0(1(2(2(1(3(1(1(2(0(3(2(1(1(1(2(2(1(x1)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(x1))))))))))))))))))
0(2(0(0(2(0(2(1(3(0(2(1(1(3(1(3(0(3(x1)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(x1))))))))))))))))))
0(2(1(2(3(0(3(0(3(3(0(1(0(3(0(1(3(0(x1)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(x1))))))))))))))))))
0(2(1(3(0(0(2(1(1(1(1(1(1(3(2(0(0(2(x1)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(x1))))))))))))))))))
0(3(0(1(1(2(0(0(1(2(3(0(0(3(1(0(0(1(x1)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(x1))))))))))))))))))
0(3(0(1(3(2(2(3(1(2(2(1(1(0(3(2(1(0(x1)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(x1))))))))))))))))))
0(3(0(3(3(1(2(0(2(3(2(0(3(1(1(1(1(3(x1)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(x1))))))))))))))))))
0(3(1(0(0(2(3(2(0(1(2(3(0(3(2(0(2(2(x1)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(x1))))))))))))))))))
0(3(1(0(3(2(0(0(0(3(2(3(1(2(0(2(3(0(x1)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x1))))))))))))))))))
0(3(2(0(0(0(0(1(3(1(0(3(1(3(3(0(1(2(x1)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(x1))))))))))))))))))
0(3(2(0(1(2(3(0(2(2(3(1(3(2(3(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x1))))))))))))))))))
0(3(2(2(2(0(0(3(1(3(1(0(3(1(0(3(0(0(x1)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(x1))))))))))))))))))
1(0(1(2(1(0(2(2(0(0(1(1(1(0(3(1(2(0(x1)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(x1))))))))))))))))))
1(0(2(0(2(0(0(2(1(1(1(1(2(2(3(1(2(0(x1)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(x1))))))))))))))))))
1(0(3(1(1(2(0(1(2(3(1(1(3(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(x1))))))))))))))))))
1(1(0(3(3(3(1(2(2(0(3(0(3(2(2(2(3(1(x1)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(x1))))))))))))))))))
1(1(1(0(2(1(1(2(3(1(3(1(3(1(2(1(3(1(x1)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(x1))))))))))))))))))
1(1(1(1(3(1(3(0(2(2(1(0(2(3(1(2(0(2(x1)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(x1))))))))))))))))))
1(1(2(0(3(2(2(2(0(1(2(0(2(2(0(3(2(3(x1)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(x1))))))))))))))))))
1(1(2(1(3(1(0(0(2(0(0(0(3(1(1(1(1(2(x1)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(x1))))))))))))))))))
1(1(2(3(0(3(1(1(2(2(3(1(2(0(1(3(0(1(x1)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(x1))))))))))))))))))
1(1(3(1(2(0(1(0(0(0(3(3(0(2(0(3(1(2(x1)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(x1))))))))))))))))))
1(1(3(2(3(1(3(1(2(3(3(3(2(3(1(2(0(0(x1)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(x1))))))))))))))))))
1(2(0(2(2(3(2(1(2(3(3(1(3(1(2(3(1(1(x1)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(x1))))))))))))))))))
1(2(0(2(3(1(1(0(1(2(0(3(1(2(3(3(2(0(x1)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(x1))))))))))))))))))
1(2(0(3(1(2(3(2(1(0(3(0(3(1(3(2(0(1(x1)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(x1))))))))))))))))))
1(2(1(2(2(2(2(3(1(1(3(1(1(2(0(1(1(3(x1)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(x1))))))))))))))))))
1(2(3(0(3(2(0(3(2(3(0(3(0(2(3(1(1(2(x1)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(x1))))))))))))))))))
1(3(0(0(3(3(1(3(1(2(1(0(3(1(3(3(0(0(x1)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(x1))))))))))))))))))
1(3(1(1(1(2(3(0(2(3(3(3(1(2(3(1(2(0(x1)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(x1))))))))))))))))))
1(3(3(0(0(3(1(0(2(3(1(2(3(3(3(2(1(2(x1)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(x1))))))))))))))))))
2(0(0(3(2(0(3(1(3(0(2(2(2(2(0(1(1(1(x1)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(x1))))))))))))))))))
2(0(1(2(0(1(2(3(0(2(0(0(1(3(1(0(3(0(x1)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(x1))))))))))))))))))
2(0(1(2(0(2(3(0(0(3(3(2(2(0(1(1(1(2(x1)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(x1))))))))))))))))))
2(0(2(0(1(0(1(0(3(1(2(1(3(1(2(3(3(0(x1)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(x1))))))))))))))))))
2(0(2(2(0(3(0(3(1(1(1(3(3(2(3(0(3(0(x1)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(x1))))))))))))))))))
2(0(3(0(3(1(2(3(3(0(0(3(1(1(2(2(2(3(x1)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(x1))))))))))))))))))
2(0(3(1(3(0(2(1(2(2(3(1(0(3(0(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(x1))))))))))))))))))
2(0(3(3(1(1(3(2(3(3(1(2(2(0(3(1(3(3(x1)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(x1))))))))))))))))))
2(1(1(1(2(3(0(2(0(0(3(1(0(0(3(2(2(0(x1)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(x1))))))))))))))))))
2(1(3(1(2(0(1(3(1(2(2(2(1(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(x1))))))))))))))))))
2(3(1(0(3(3(1(3(3(0(3(0(2(2(3(2(2(2(x1)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(x1))))))))))))))))))
2(3(1(2(3(0(3(3(1(2(2(3(2(1(1(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(x1))))))))))))))))))
2(3(2(3(3(2(3(2(3(2(0(0(1(3(1(1(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(x1))))))))))))))))))
2(3(3(0(3(1(0(3(1(2(2(2(1(0(3(0(1(0(x1)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(x1))))))))))))))))))
2(3(3(1(2(3(1(2(0(1(0(2(0(2(1(1(1(2(x1)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(x1))))))))))))))))))
3(0(0(0(3(0(3(3(0(0(3(3(2(1(3(0(2(3(x1)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(x1))))))))))))))))))
3(0(0(3(2(2(1(0(2(3(0(1(0(2(1(3(1(1(x1)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(x1))))))))))))))))))
3(0(1(1(0(3(2(3(0(0(2(3(1(3(1(1(2(2(x1)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(x1))))))))))))))))))
3(0(1(2(0(2(3(3(1(1(3(1(2(0(3(3(0(1(x1)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(x1))))))))))))))))))
3(0(1(2(0(3(0(1(0(2(0(1(2(3(0(3(1(0(x1)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(x1))))))))))))))))))
3(0(2(1(2(2(3(1(1(3(1(1(0(3(0(3(0(1(x1)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(x1))))))))))))))))))
3(0(2(2(3(0(0(2(0(3(0(2(2(1(3(1(1(2(x1)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(x1))))))))))))))))))
3(0(2(3(0(1(3(0(1(1(1(3(0(2(3(2(2(0(x1)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(x1))))))))))))))))))
3(0(3(0(2(2(3(2(0(0(2(1(2(3(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(x1))))))))))))))))))
3(0(3(2(1(3(0(0(2(3(0(1(2(0(3(2(2(0(x1)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(x1))))))))))))))))))
3(1(1(0(3(2(3(1(3(1(1(3(2(2(3(1(3(2(x1)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(x1))))))))))))))))))
3(1(1(1(1(3(1(2(1(3(0(0(0(3(0(1(3(0(x1)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(x1))))))))))))))))))
3(1(1(3(0(3(0(1(1(1(1(3(1(2(0(0(1(3(x1)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(x1))))))))))))))))))
3(1(1(3(0(3(3(1(3(1(1(1(3(1(0(3(0(0(x1)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(x1))))))))))))))))))
3(1(2(1(2(0(2(3(1(2(2(0(2(0(3(2(1(0(x1)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(x1))))))))))))))))))
3(1(2(2(3(0(0(3(1(2(3(1(2(3(3(2(1(0(x1)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(x1))))))))))))))))))
3(1(2(3(2(2(0(3(1(2(3(2(3(1(3(1(3(3(x1)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(x1))))))))))))))))))
3(1(3(1(2(0(2(0(3(1(3(2(2(1(0(3(3(0(x1)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(x1))))))))))))))))))
3(2(0(0(3(2(3(2(1(3(0(3(3(0(3(0(1(0(x1)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(x1))))))))))))))))))
3(2(0(3(1(0(2(2(2(1(2(0(3(1(1(1(2(3(x1)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(x1))))))))))))))))))
3(2(1(2(2(0(3(3(0(2(2(0(0(2(3(1(0(0(x1)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(x1))))))))))))))))))
3(2(3(0(1(2(0(1(0(3(3(0(0(1(1(3(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(x1))))))))))))))))))
3(2(3(0(3(2(2(2(3(1(2(3(2(3(3(1(2(1(x1)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(x1))))))))))))))))))
3(3(1(2(0(2(2(3(1(2(0(3(2(1(0(1(1(2(x1)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(x1))))))))))))))))))
3(3(2(0(3(2(3(0(2(3(3(1(1(1(3(2(2(1(x1)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(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_3(x_1) -> 3(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
3 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
1 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
2 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1: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 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
hole_1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_21_4 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1: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, 3, 1, 2, encArg

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

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

(12)
Obligation:
TRS:
Rules:
0(0(0(0(0(3(0(0(1(3(1(3(1(2(3(1(3(1(x1)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(x1))))))))))))))))))
0(0(0(1(1(1(3(1(2(1(2(0(3(0(2(3(1(2(x1)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(x1))))))))))))))))))
0(0(0(1(2(3(1(0(3(2(3(0(0(3(3(1(2(2(x1)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(x1))))))))))))))))))
0(0(0(2(0(2(2(3(3(0(3(1(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(x1))))))))))))))))))
0(0(0(3(1(0(2(2(3(2(0(3(0(2(1(2(1(0(x1)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(x1))))))))))))))))))
0(0(0(3(1(1(3(0(3(2(3(0(2(3(3(3(2(0(x1)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(x1))))))))))))))))))
0(1(1(0(0(0(1(2(2(1(1(2(2(3(3(1(1(2(x1)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(x1))))))))))))))))))
0(1(2(0(0(1(1(3(1(3(0(3(1(1(1(0(3(2(x1)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(x1))))))))))))))))))
0(1(2(1(1(1(3(1(0(3(1(3(1(1(3(1(2(1(x1)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(x1))))))))))))))))))
0(1(2(2(1(3(1(1(2(0(3(2(1(1(1(2(2(1(x1)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(x1))))))))))))))))))
0(2(0(0(2(0(2(1(3(0(2(1(1(3(1(3(0(3(x1)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(x1))))))))))))))))))
0(2(1(2(3(0(3(0(3(3(0(1(0(3(0(1(3(0(x1)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(x1))))))))))))))))))
0(2(1(3(0(0(2(1(1(1(1(1(1(3(2(0(0(2(x1)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(x1))))))))))))))))))
0(3(0(1(1(2(0(0(1(2(3(0(0(3(1(0(0(1(x1)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(x1))))))))))))))))))
0(3(0(1(3(2(2(3(1(2(2(1(1(0(3(2(1(0(x1)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(x1))))))))))))))))))
0(3(0(3(3(1(2(0(2(3(2(0(3(1(1(1(1(3(x1)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(x1))))))))))))))))))
0(3(1(0(0(2(3(2(0(1(2(3(0(3(2(0(2(2(x1)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(x1))))))))))))))))))
0(3(1(0(3(2(0(0(0(3(2(3(1(2(0(2(3(0(x1)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x1))))))))))))))))))
0(3(2(0(0(0(0(1(3(1(0(3(1(3(3(0(1(2(x1)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(x1))))))))))))))))))
0(3(2(0(1(2(3(0(2(2(3(1(3(2(3(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x1))))))))))))))))))
0(3(2(2(2(0(0(3(1(3(1(0(3(1(0(3(0(0(x1)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(x1))))))))))))))))))
1(0(1(2(1(0(2(2(0(0(1(1(1(0(3(1(2(0(x1)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(x1))))))))))))))))))
1(0(2(0(2(0(0(2(1(1(1(1(2(2(3(1(2(0(x1)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(x1))))))))))))))))))
1(0(3(1(1(2(0(1(2(3(1(1(3(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(x1))))))))))))))))))
1(1(0(3(3(3(1(2(2(0(3(0(3(2(2(2(3(1(x1)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(x1))))))))))))))))))
1(1(1(0(2(1(1(2(3(1(3(1(3(1(2(1(3(1(x1)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(x1))))))))))))))))))
1(1(1(1(3(1(3(0(2(2(1(0(2(3(1(2(0(2(x1)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(x1))))))))))))))))))
1(1(2(0(3(2(2(2(0(1(2(0(2(2(0(3(2(3(x1)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(x1))))))))))))))))))
1(1(2(1(3(1(0(0(2(0(0(0(3(1(1(1(1(2(x1)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(x1))))))))))))))))))
1(1(2(3(0(3(1(1(2(2(3(1(2(0(1(3(0(1(x1)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(x1))))))))))))))))))
1(1(3(1(2(0(1(0(0(0(3(3(0(2(0(3(1(2(x1)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(x1))))))))))))))))))
1(1(3(2(3(1(3(1(2(3(3(3(2(3(1(2(0(0(x1)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(x1))))))))))))))))))
1(2(0(2(2(3(2(1(2(3(3(1(3(1(2(3(1(1(x1)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(x1))))))))))))))))))
1(2(0(2(3(1(1(0(1(2(0(3(1(2(3(3(2(0(x1)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(x1))))))))))))))))))
1(2(0(3(1(2(3(2(1(0(3(0(3(1(3(2(0(1(x1)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(x1))))))))))))))))))
1(2(1(2(2(2(2(3(1(1(3(1(1(2(0(1(1(3(x1)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(x1))))))))))))))))))
1(2(3(0(3(2(0(3(2(3(0(3(0(2(3(1(1(2(x1)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(x1))))))))))))))))))
1(3(0(0(3(3(1(3(1(2(1(0(3(1(3(3(0(0(x1)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(x1))))))))))))))))))
1(3(1(1(1(2(3(0(2(3(3(3(1(2(3(1(2(0(x1)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(x1))))))))))))))))))
1(3(3(0(0(3(1(0(2(3(1(2(3(3(3(2(1(2(x1)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(x1))))))))))))))))))
2(0(0(3(2(0(3(1(3(0(2(2(2(2(0(1(1(1(x1)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(x1))))))))))))))))))
2(0(1(2(0(1(2(3(0(2(0(0(1(3(1(0(3(0(x1)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(x1))))))))))))))))))
2(0(1(2(0(2(3(0(0(3(3(2(2(0(1(1(1(2(x1)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(x1))))))))))))))))))
2(0(2(0(1(0(1(0(3(1(2(1(3(1(2(3(3(0(x1)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(x1))))))))))))))))))
2(0(2(2(0(3(0(3(1(1(1(3(3(2(3(0(3(0(x1)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(x1))))))))))))))))))
2(0(3(0(3(1(2(3(3(0(0(3(1(1(2(2(2(3(x1)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(x1))))))))))))))))))
2(0(3(1(3(0(2(1(2(2(3(1(0(3(0(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(x1))))))))))))))))))
2(0(3(3(1(1(3(2(3(3(1(2(2(0(3(1(3(3(x1)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(x1))))))))))))))))))
2(1(1(1(2(3(0(2(0(0(3(1(0(0(3(2(2(0(x1)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(x1))))))))))))))))))
2(1(3(1(2(0(1(3(1(2(2(2(1(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(x1))))))))))))))))))
2(3(1(0(3(3(1(3(3(0(3(0(2(2(3(2(2(2(x1)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(x1))))))))))))))))))
2(3(1(2(3(0(3(3(1(2(2(3(2(1(1(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(x1))))))))))))))))))
2(3(2(3(3(2(3(2(3(2(0(0(1(3(1(1(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(x1))))))))))))))))))
2(3(3(0(3(1(0(3(1(2(2(2(1(0(3(0(1(0(x1)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(x1))))))))))))))))))
2(3(3(1(2(3(1(2(0(1(0(2(0(2(1(1(1(2(x1)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(x1))))))))))))))))))
3(0(0(0(3(0(3(3(0(0(3(3(2(1(3(0(2(3(x1)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(x1))))))))))))))))))
3(0(0(3(2(2(1(0(2(3(0(1(0(2(1(3(1(1(x1)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(x1))))))))))))))))))
3(0(1(1(0(3(2(3(0(0(2(3(1(3(1(1(2(2(x1)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(x1))))))))))))))))))
3(0(1(2(0(2(3(3(1(1(3(1(2(0(3(3(0(1(x1)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(x1))))))))))))))))))
3(0(1(2(0(3(0(1(0(2(0(1(2(3(0(3(1(0(x1)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(x1))))))))))))))))))
3(0(2(1(2(2(3(1(1(3(1(1(0(3(0(3(0(1(x1)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(x1))))))))))))))))))
3(0(2(2(3(0(0(2(0(3(0(2(2(1(3(1(1(2(x1)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(x1))))))))))))))))))
3(0(2(3(0(1(3(0(1(1(1(3(0(2(3(2(2(0(x1)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(x1))))))))))))))))))
3(0(3(0(2(2(3(2(0(0(2(1(2(3(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(x1))))))))))))))))))
3(0(3(2(1(3(0(0(2(3(0(1(2(0(3(2(2(0(x1)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(x1))))))))))))))))))
3(1(1(0(3(2(3(1(3(1(1(3(2(2(3(1(3(2(x1)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(x1))))))))))))))))))
3(1(1(1(1(3(1(2(1(3(0(0(0(3(0(1(3(0(x1)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(x1))))))))))))))))))
3(1(1(3(0(3(0(1(1(1(1(3(1(2(0(0(1(3(x1)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(x1))))))))))))))))))
3(1(1(3(0(3(3(1(3(1(1(1(3(1(0(3(0(0(x1)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(x1))))))))))))))))))
3(1(2(1(2(0(2(3(1(2(2(0(2(0(3(2(1(0(x1)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(x1))))))))))))))))))
3(1(2(2(3(0(0(3(1(2(3(1(2(3(3(2(1(0(x1)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(x1))))))))))))))))))
3(1(2(3(2(2(0(3(1(2(3(2(3(1(3(1(3(3(x1)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(x1))))))))))))))))))
3(1(3(1(2(0(2(0(3(1(3(2(2(1(0(3(3(0(x1)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(x1))))))))))))))))))
3(2(0(0(3(2(3(2(1(3(0(3(3(0(3(0(1(0(x1)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(x1))))))))))))))))))
3(2(0(3(1(0(2(2(2(1(2(0(3(1(1(1(2(3(x1)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(x1))))))))))))))))))
3(2(1(2(2(0(3(3(0(2(2(0(0(2(3(1(0(0(x1)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(x1))))))))))))))))))
3(2(3(0(1(2(0(1(0(3(3(0(0(1(1(3(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(x1))))))))))))))))))
3(2(3(0(3(2(2(2(3(1(2(3(2(3(3(1(2(1(x1)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(x1))))))))))))))))))
3(3(1(2(0(2(2(3(1(2(0(3(2(1(0(1(1(2(x1)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(x1))))))))))))))))))
3(3(2(0(3(2(3(0(2(3(3(1(1(1(3(2(2(1(x1)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(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_3(x_1) -> 3(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
3 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
1 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
2 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1: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 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_2
hole_1:3:2:0:encArg:encode_0:encode_3:encode_1:encode_21_4 :: 1:3:2:0:encArg:encode_0:encode_3:encode_1: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:
3, 0, 1, 2, encArg

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

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

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

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


The TRS R consists of the following rules:

   0(0(0(0(0(3(0(0(1(3(1(3(1(2(3(1(3(1(x1)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(x1))))))))))))))))))
   0(0(0(1(1(1(3(1(2(1(2(0(3(0(2(3(1(2(x1)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(x1))))))))))))))))))
   0(0(0(1(2(3(1(0(3(2(3(0(0(3(3(1(2(2(x1)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(x1))))))))))))))))))
   0(0(0(2(0(2(2(3(3(0(3(1(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(x1))))))))))))))))))
   0(0(0(3(1(0(2(2(3(2(0(3(0(2(1(2(1(0(x1)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(x1))))))))))))))))))
   0(0(0(3(1(1(3(0(3(2(3(0(2(3(3(3(2(0(x1)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(x1))))))))))))))))))
   0(1(1(0(0(0(1(2(2(1(1(2(2(3(3(1(1(2(x1)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(x1))))))))))))))))))
   0(1(2(0(0(1(1(3(1(3(0(3(1(1(1(0(3(2(x1)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(x1))))))))))))))))))
   0(1(2(1(1(1(3(1(0(3(1(3(1(1(3(1(2(1(x1)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(x1))))))))))))))))))
   0(1(2(2(1(3(1(1(2(0(3(2(1(1(1(2(2(1(x1)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(x1))))))))))))))))))
   0(2(0(0(2(0(2(1(3(0(2(1(1(3(1(3(0(3(x1)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(x1))))))))))))))))))
   0(2(1(2(3(0(3(0(3(3(0(1(0(3(0(1(3(0(x1)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(x1))))))))))))))))))
   0(2(1(3(0(0(2(1(1(1(1(1(1(3(2(0(0(2(x1)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(x1))))))))))))))))))
   0(3(0(1(1(2(0(0(1(2(3(0(0(3(1(0(0(1(x1)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(x1))))))))))))))))))
   0(3(0(1(3(2(2(3(1(2(2(1(1(0(3(2(1(0(x1)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(x1))))))))))))))))))
   0(3(0(3(3(1(2(0(2(3(2(0(3(1(1(1(1(3(x1)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(x1))))))))))))))))))
   0(3(1(0(0(2(3(2(0(1(2(3(0(3(2(0(2(2(x1)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(x1))))))))))))))))))
   0(3(1(0(3(2(0(0(0(3(2(3(1(2(0(2(3(0(x1)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x1))))))))))))))))))
   0(3(2(0(0(0(0(1(3(1(0(3(1(3(3(0(1(2(x1)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(x1))))))))))))))))))
   0(3(2(0(1(2(3(0(2(2(3(1(3(2(3(3(0(2(x1)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x1))))))))))))))))))
   0(3(2(2(2(0(0(3(1(3(1(0(3(1(0(3(0(0(x1)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(x1))))))))))))))))))
   1(0(1(2(1(0(2(2(0(0(1(1(1(0(3(1(2(0(x1)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(x1))))))))))))))))))
   1(0(2(0(2(0(0(2(1(1(1(1(2(2(3(1(2(0(x1)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(x1))))))))))))))))))
   1(0(3(1(1(2(0(1(2(3(1(1(3(1(3(0(1(1(x1)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(x1))))))))))))))))))
   1(1(0(3(3(3(1(2(2(0(3(0(3(2(2(2(3(1(x1)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(x1))))))))))))))))))
   1(1(1(0(2(1(1(2(3(1(3(1(3(1(2(1(3(1(x1)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(x1))))))))))))))))))
   1(1(1(1(3(1(3(0(2(2(1(0(2(3(1(2(0(2(x1)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(x1))))))))))))))))))
   1(1(2(0(3(2(2(2(0(1(2(0(2(2(0(3(2(3(x1)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(x1))))))))))))))))))
   1(1(2(1(3(1(0(0(2(0(0(0(3(1(1(1(1(2(x1)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(x1))))))))))))))))))
   1(1(2(3(0(3(1(1(2(2(3(1(2(0(1(3(0(1(x1)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(x1))))))))))))))))))
   1(1(3(1(2(0(1(0(0(0(3(3(0(2(0(3(1(2(x1)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(x1))))))))))))))))))
   1(1(3(2(3(1(3(1(2(3(3(3(2(3(1(2(0(0(x1)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(x1))))))))))))))))))
   1(2(0(2(2(3(2(1(2(3(3(1(3(1(2(3(1(1(x1)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(x1))))))))))))))))))
   1(2(0(2(3(1(1(0(1(2(0(3(1(2(3(3(2(0(x1)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(x1))))))))))))))))))
   1(2(0(3(1(2(3(2(1(0(3(0(3(1(3(2(0(1(x1)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(x1))))))))))))))))))
   1(2(1(2(2(2(2(3(1(1(3(1(1(2(0(1(1(3(x1)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(x1))))))))))))))))))
   1(2(3(0(3(2(0(3(2(3(0(3(0(2(3(1(1(2(x1)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(x1))))))))))))))))))
   1(3(0(0(3(3(1(3(1(2(1(0(3(1(3(3(0(0(x1)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(x1))))))))))))))))))
   1(3(1(1(1(2(3(0(2(3(3(3(1(2(3(1(2(0(x1)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(x1))))))))))))))))))
   1(3(3(0(0(3(1(0(2(3(1(2(3(3(3(2(1(2(x1)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(x1))))))))))))))))))
   2(0(0(3(2(0(3(1(3(0(2(2(2(2(0(1(1(1(x1)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(x1))))))))))))))))))
   2(0(1(2(0(1(2(3(0(2(0(0(1(3(1(0(3(0(x1)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(x1))))))))))))))))))
   2(0(1(2(0(2(3(0(0(3(3(2(2(0(1(1(1(2(x1)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(x1))))))))))))))))))
   2(0(2(0(1(0(1(0(3(1(2(1(3(1(2(3(3(0(x1)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(x1))))))))))))))))))
   2(0(2(2(0(3(0(3(1(1(1(3(3(2(3(0(3(0(x1)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(x1))))))))))))))))))
   2(0(3(0(3(1(2(3(3(0(0(3(1(1(2(2(2(3(x1)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(x1))))))))))))))))))
   2(0(3(1(3(0(2(1(2(2(3(1(0(3(0(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(x1))))))))))))))))))
   2(0(3(3(1(1(3(2(3(3(1(2(2(0(3(1(3(3(x1)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(x1))))))))))))))))))
   2(1(1(1(2(3(0(2(0(0(3(1(0(0(3(2(2(0(x1)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(x1))))))))))))))))))
   2(1(3(1(2(0(1(3(1(2(2(2(1(2(3(0(1(2(x1)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(x1))))))))))))))))))
   2(3(1(0(3(3(1(3(3(0(3(0(2(2(3(2(2(2(x1)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(x1))))))))))))))))))
   2(3(1(2(3(0(3(3(1(2(2(3(2(1(1(3(2(2(x1)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(x1))))))))))))))))))
   2(3(2(3(3(2(3(2(3(2(0(0(1(3(1(1(1(3(x1)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(x1))))))))))))))))))
   2(3(3(0(3(1(0(3(1(2(2(2(1(0(3(0(1(0(x1)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(x1))))))))))))))))))
   2(3(3(1(2(3(1(2(0(1(0(2(0(2(1(1(1(2(x1)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(x1))))))))))))))))))
   3(0(0(0(3(0(3(3(0(0(3(3(2(1(3(0(2(3(x1)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(x1))))))))))))))))))
   3(0(0(3(2(2(1(0(2(3(0(1(0(2(1(3(1(1(x1)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(x1))))))))))))))))))
   3(0(1(1(0(3(2(3(0(0(2(3(1(3(1(1(2(2(x1)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(x1))))))))))))))))))
   3(0(1(2(0(2(3(3(1(1(3(1(2(0(3(3(0(1(x1)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(x1))))))))))))))))))
   3(0(1(2(0(3(0(1(0(2(0(1(2(3(0(3(1(0(x1)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(x1))))))))))))))))))
   3(0(2(1(2(2(3(1(1(3(1(1(0(3(0(3(0(1(x1)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(x1))))))))))))))))))
   3(0(2(2(3(0(0(2(0(3(0(2(2(1(3(1(1(2(x1)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(x1))))))))))))))))))
   3(0(2(3(0(1(3(0(1(1(1(3(0(2(3(2(2(0(x1)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(x1))))))))))))))))))
   3(0(3(0(2(2(3(2(0(0(2(1(2(3(1(2(1(2(x1)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(x1))))))))))))))))))
   3(0(3(2(1(3(0(0(2(3(0(1(2(0(3(2(2(0(x1)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(x1))))))))))))))))))
   3(1(1(0(3(2(3(1(3(1(1(3(2(2(3(1(3(2(x1)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(x1))))))))))))))))))
   3(1(1(1(1(3(1(2(1(3(0(0(0(3(0(1(3(0(x1)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(x1))))))))))))))))))
   3(1(1(3(0(3(0(1(1(1(1(3(1(2(0(0(1(3(x1)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(x1))))))))))))))))))
   3(1(1(3(0(3(3(1(3(1(1(1(3(1(0(3(0(0(x1)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(x1))))))))))))))))))
   3(1(2(1(2(0(2(3(1(2(2(0(2(0(3(2(1(0(x1)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(x1))))))))))))))))))
   3(1(2(2(3(0(0(3(1(2(3(1(2(3(3(2(1(0(x1)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(x1))))))))))))))))))
   3(1(2(3(2(2(0(3(1(2(3(2(3(1(3(1(3(3(x1)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(x1))))))))))))))))))
   3(1(3(1(2(0(2(0(3(1(3(2(2(1(0(3(3(0(x1)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(x1))))))))))))))))))
   3(2(0(0(3(2(3(2(1(3(0(3(3(0(3(0(1(0(x1)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(x1))))))))))))))))))
   3(2(0(3(1(0(2(2(2(1(2(0(3(1(1(1(2(3(x1)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(x1))))))))))))))))))
   3(2(1(2(2(0(3(3(0(2(2(0(0(2(3(1(0(0(x1)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(x1))))))))))))))))))
   3(2(3(0(1(2(0(1(0(3(3(0(0(1(1(3(2(0(x1)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(x1))))))))))))))))))
   3(2(3(0(3(2(2(2(3(1(2(3(2(3(3(1(2(1(x1)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(x1))))))))))))))))))
   3(3(1(2(0(2(2(3(1(2(0(3(2(1(0(1(1(2(x1)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(x1))))))))))))))))))
   3(3(2(0(3(2(3(0(2(3(3(1(1(1(3(2(2(1(x1)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(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_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(x1))))))))))))))))))
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(x1))))))))))))))))))
   0(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x1))))))))))))))))))
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(x1))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x1))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(x1))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(x1))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(x1))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(x1))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(x1))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(x1))))))))))))))))))
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   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(x1)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(x1))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(x1))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(x1))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(x1))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(x1))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(x1)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(x1))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(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_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   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:

   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(x1))))))))))))))))))
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(x1))))))))))))))))))
   0(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x1))))))))))))))))))
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(x1))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x1))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(x1))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(x1))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(x1))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(x1))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(x1))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(x1))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(x1)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(x1))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(x1))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(x1))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(x1)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(x1))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(x1))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(x1))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(x1))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(x1))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(x1))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(x1))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(x1))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(x1))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(x1))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(x1))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(x1))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(x1))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(x1)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(x1))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(x1))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(x1)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(x1))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(x1))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(x1))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(x1))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(x1))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(x1)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(x1))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(x1)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(x1))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(x1))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(x1))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(x1))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(x1))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(x1))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(x1))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(x1))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(x1))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(x1))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(x1))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(x1))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(x1))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(x1)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(x1))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(x1))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(x1))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(x1))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(x1))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(x1))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(x1)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(x1))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(x1))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(x1))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(x1))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(x1))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(x1))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(x1))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(x1))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(x1))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(x1)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(x1))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(x1))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(x1))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(x1)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(x1))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(x1))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(x1))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(x1))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(x1))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(x1))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(x1))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(x1)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(x1))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(x1))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(x1))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(x1))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(x1))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(x1)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(x1))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(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_3(x_1) -> 3(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   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:

   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(x1)))))))))))))))))) [1]
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(x1)))))))))))))))))) [1]
   0(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x1)))))))))))))))))) [1]
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(x1)))))))))))))))))) [1]
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x1)))))))))))))))))) [1]
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(x1)))))))))))))))))) [1]
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(x1)))))))))))))))))) [1]
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(x1)))))))))))))))))) [1]
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(x1)))))))))))))))))) [1]
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(x1)))))))))))))))))) [1]
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(x1)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(x1)))))))))))))))))) [1]
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(x1)))))))))))))))))) [1]
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(x1)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(x1)))))))))))))))))) [1]
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(x1)))))))))))))))))) [1]
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(x1)))))))))))))))))) [1]
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(x1)))))))))))))))))) [1]
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(x1)))))))))))))))))) [1]
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(x1)))))))))))))))))) [1]
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(x1)))))))))))))))))) [1]
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(x1)))))))))))))))))) [1]
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(x1)))))))))))))))))) [1]
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(x1)))))))))))))))))) [1]
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(x1)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(x1)))))))))))))))))) [1]
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(x1)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(x1)))))))))))))))))) [1]
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(x1)))))))))))))))))) [1]
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(x1)))))))))))))))))) [1]
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(x1)))))))))))))))))) [1]
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(x1)))))))))))))))))) [1]
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(x1)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(x1)))))))))))))))))) [1]
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(x1)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(x1)))))))))))))))))) [1]
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(x1)))))))))))))))))) [1]
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(x1)))))))))))))))))) [1]
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(x1)))))))))))))))))) [1]
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(x1)))))))))))))))))) [1]
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(x1)))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(x1)))))))))))))))))) [1]
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(x1)))))))))))))))))) [1]
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(x1)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(x1)))))))))))))))))) [1]
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(x1)))))))))))))))))) [1]
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(x1)))))))))))))))))) [1]
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(x1)))))))))))))))))) [1]
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(x1)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(x1)))))))))))))))))) [1]
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(x1)))))))))))))))))) [1]
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(x1)))))))))))))))))) [1]
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(x1)))))))))))))))))) [1]
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(x1)))))))))))))))))) [1]
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(x1)))))))))))))))))) [1]
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(x1)))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(x1)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(x1)))))))))))))))))) [1]
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(x1)))))))))))))))))) [1]
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(x1)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(x1)))))))))))))))))) [1]
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(x1)))))))))))))))))) [1]
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(x1)))))))))))))))))) [1]
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(x1)))))))))))))))))) [1]
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(x1)))))))))))))))))) [1]
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(x1)))))))))))))))))) [1]
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(x1)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(x1)))))))))))))))))) [1]
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(x1)))))))))))))))))) [1]
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(x1)))))))))))))))))) [1]
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(x1)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(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_3(x_1) -> 3(encArg(x_1)) [0]
   encode_1(x_1) -> 1(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]
   2(x0) -> c_2(x0) [0]
   3(x0) -> c_3(x0) [0]

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

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

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

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

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


The TRS R consists of the following rules:

   1'(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 1'(2'(0'(2'(3'(2'(1'(1'(1'(1'(3'(3'(3'(3'(3'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(0'(2'(2'(3'(3'(0'(3'(0'(0'(3'(2'(3'(0'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(0'(2'(3'(0'(2'(1'(0'(3'(3'(2'(2'(2'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 0'(3'(2'(1'(0'(0'(3'(2'(1'(0'(1'(2'(1'(3'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(0'(1'(2'(2'(1'(0'(1'(1'(0'(3'(0'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
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   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 3'(1'(2'(3'(2'(3'(2'(0'(1'(3'(3'(1'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(0'(1'(2'(1'(1'(1'(3'(2'(2'(2'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(1'(1'(3'(1'(0'(1'(1'(2'(3'(0'(3'(3'(3'(2'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(2'(3'(3'(3'(3'(2'(2'(1'(0'(2'(1'(2'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(0'(0'(3'(2'(3'(0'(0'(1'(2'(2'(3'(2'(1'(0'(1'(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_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   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:

   1'(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 1'(2'(0'(2'(3'(2'(1'(1'(1'(1'(3'(3'(3'(3'(3'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(0'(2'(2'(3'(3'(0'(3'(0'(0'(3'(2'(3'(0'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(0'(2'(3'(0'(2'(1'(0'(3'(3'(2'(2'(2'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 0'(3'(2'(1'(0'(0'(3'(2'(1'(0'(1'(2'(1'(3'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(0'(1'(2'(2'(1'(0'(1'(1'(0'(3'(0'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(3'(2'(0'(0'(0'(2'(3'(3'(0'(1'(1'(3'(1'(0'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 1'(1'(0'(0'(1'(2'(1'(2'(3'(0'(1'(2'(3'(3'(2'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(1'(3'(1'(2'(3'(3'(0'(1'(3'(3'(2'(1'(2'(1'(3'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(1'(2'(3'(2'(1'(3'(0'(2'(1'(3'(3'(0'(1'(0'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(0'(0'(1'(0'(3'(3'(2'(0'(1'(3'(0'(1'(2'(3'(3'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(1'(3'(0'(1'(0'(0'(0'(1'(0'(2'(3'(3'(3'(3'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(3'(3'(3'(0'(0'(1'(0'(1'(3'(1'(3'(0'(0'(3'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(3'(2'(1'(1'(3'(3'(1'(1'(2'(1'(1'(0'(1'(1'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(x1)))))))))))))))))) -> 1'(2'(2'(2'(1'(1'(3'(0'(3'(3'(0'(1'(0'(1'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(3'(3'(2'(3'(0'(1'(0'(2'(2'(3'(3'(1'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(3'(2'(1'(2'(1'(2'(1'(0'(2'(3'(1'(2'(2'(1'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(x1)))))))))))))))))) -> 0'(1'(1'(1'(1'(2'(3'(3'(0'(1'(1'(0'(0'(1'(3'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(0'(1'(0'(2'(3'(2'(3'(2'(0'(3'(3'(1'(0'(2'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(2'(2'(1'(0'(3'(3'(3'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(1'(2'(2'(0'(2'(1'(1'(1'(2'(1'(3'(3'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 3'(2'(1'(3'(2'(2'(1'(3'(3'(0'(0'(3'(1'(0'(1'(0'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 1'(0'(1'(3'(0'(1'(0'(3'(1'(1'(1'(1'(2'(3'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 3'(2'(2'(3'(1'(1'(3'(0'(2'(3'(3'(3'(3'(0'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 0'(1'(1'(2'(2'(2'(1'(0'(3'(2'(1'(3'(2'(1'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 3'(1'(0'(1'(3'(2'(0'(3'(2'(2'(2'(3'(2'(1'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(x1)))))))))))))))))) -> 0'(1'(1'(1'(1'(0'(2'(1'(3'(1'(0'(2'(1'(3'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 2'(1'(3'(1'(0'(1'(1'(1'(0'(1'(2'(3'(0'(2'(3'(3'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(1'(3'(2'(1'(1'(1'(1'(1'(0'(1'(0'(1'(3'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 0'(2'(3'(1'(3'(3'(2'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(3'(3'(1'(2'(3'(1'(3'(2'(2'(2'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 1'(2'(2'(2'(1'(2'(2'(1'(0'(2'(3'(2'(0'(2'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(3'(3'(2'(1'(3'(0'(0'(2'(3'(1'(0'(0'(3'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 3'(3'(0'(3'(3'(3'(3'(0'(0'(1'(0'(2'(3'(0'(0'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(3'(3'(3'(3'(3'(0'(1'(0'(1'(1'(1'(3'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0'(1'(1'(0'(2'(3'(3'(3'(0'(1'(1'(1'(1'(0'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(0'(2'(0'(0'(2'(1'(3'(3'(3'(1'(3'(0'(0'(2'(2'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(x1)))))))))))))))))) -> 0'(1'(2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(1'(1'(3'(3'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(2'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(3'(1'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(x1)))))))))))))))))) -> 0'(0'(2'(1'(0'(1'(3'(3'(3'(3'(0'(2'(1'(0'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 0'(0'(0'(0'(0'(3'(1'(3'(3'(2'(1'(1'(3'(0'(1'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(0'(2'(0'(3'(3'(3'(1'(2'(2'(3'(3'(0'(2'(2'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(2'(0'(3'(3'(0'(1'(0'(3'(1'(3'(3'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(2'(3'(2'(2'(1'(3'(0'(0'(1'(1'(3'(0'(0'(0'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(x1)))))))))))))))))) -> 3'(2'(1'(1'(1'(1'(0'(0'(2'(3'(3'(2'(1'(0'(0'(2'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 3'(1'(2'(3'(2'(3'(2'(0'(1'(3'(3'(1'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(0'(1'(2'(1'(1'(1'(3'(2'(2'(2'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(1'(1'(3'(1'(0'(1'(1'(2'(3'(0'(3'(3'(3'(2'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(2'(3'(3'(3'(3'(2'(2'(1'(0'(2'(1'(2'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(0'(0'(3'(2'(3'(0'(0'(1'(2'(2'(3'(2'(1'(0'(1'(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_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]

The TRS has the following type information:
1' :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
c_1 :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
c_3 :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
c_2 :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
c_0 :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
2' :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
0' :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
3' :: c_0:c_2:c_1:c_3 -> c_0:c_2:c_1:c_3
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_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_0:c_2:c_1:c_3
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3

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_3_1
   encode_1_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_3(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   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:

   1'(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 1'(2'(0'(2'(3'(2'(1'(1'(1'(1'(3'(3'(3'(3'(3'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(0'(2'(2'(3'(3'(0'(3'(0'(0'(3'(2'(3'(0'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(0'(2'(3'(0'(2'(1'(0'(3'(3'(2'(2'(2'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 0'(3'(2'(1'(0'(0'(3'(2'(1'(0'(1'(2'(1'(3'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(0'(1'(2'(2'(1'(0'(1'(1'(0'(3'(0'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(3'(2'(0'(0'(0'(2'(3'(3'(0'(1'(1'(3'(1'(0'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 1'(1'(0'(0'(1'(2'(1'(2'(3'(0'(1'(2'(3'(3'(2'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(1'(3'(1'(2'(3'(3'(0'(1'(3'(3'(2'(1'(2'(1'(3'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(1'(2'(3'(2'(1'(3'(0'(2'(1'(3'(3'(0'(1'(0'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(0'(0'(1'(0'(3'(3'(2'(0'(1'(3'(0'(1'(2'(3'(3'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(1'(3'(0'(1'(0'(0'(0'(1'(0'(2'(3'(3'(3'(3'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(3'(3'(3'(0'(0'(1'(0'(1'(3'(1'(3'(0'(0'(3'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(3'(2'(1'(1'(3'(3'(1'(1'(2'(1'(1'(0'(1'(1'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(x1)))))))))))))))))) -> 1'(2'(2'(2'(1'(1'(3'(0'(3'(3'(0'(1'(0'(1'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(3'(3'(2'(3'(0'(1'(0'(2'(2'(3'(3'(1'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(3'(2'(1'(2'(1'(2'(1'(0'(2'(3'(1'(2'(2'(1'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(x1)))))))))))))))))) -> 0'(1'(1'(1'(1'(2'(3'(3'(0'(1'(1'(0'(0'(1'(3'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(0'(1'(0'(2'(3'(2'(3'(2'(0'(3'(3'(1'(0'(2'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(2'(2'(1'(0'(3'(3'(3'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(1'(2'(2'(0'(2'(1'(1'(1'(2'(1'(3'(3'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 3'(2'(1'(3'(2'(2'(1'(3'(3'(0'(0'(3'(1'(0'(1'(0'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 1'(0'(1'(3'(0'(1'(0'(3'(1'(1'(1'(1'(2'(3'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 3'(2'(2'(3'(1'(1'(3'(0'(2'(3'(3'(3'(3'(0'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 0'(1'(1'(2'(2'(2'(1'(0'(3'(2'(1'(3'(2'(1'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 3'(1'(0'(1'(3'(2'(0'(3'(2'(2'(2'(3'(2'(1'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(x1)))))))))))))))))) -> 0'(1'(1'(1'(1'(0'(2'(1'(3'(1'(0'(2'(1'(3'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 2'(1'(3'(1'(0'(1'(1'(1'(0'(1'(2'(3'(0'(2'(3'(3'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(1'(3'(2'(1'(1'(1'(1'(1'(0'(1'(0'(1'(3'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 0'(2'(3'(1'(3'(3'(2'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(3'(3'(1'(2'(3'(1'(3'(2'(2'(2'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 1'(2'(2'(2'(1'(2'(2'(1'(0'(2'(3'(2'(0'(2'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(3'(3'(2'(1'(3'(0'(0'(2'(3'(1'(0'(0'(3'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 3'(3'(0'(3'(3'(3'(3'(0'(0'(1'(0'(2'(3'(0'(0'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(3'(3'(3'(3'(3'(0'(1'(0'(1'(1'(1'(3'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0'(1'(1'(0'(2'(3'(3'(3'(0'(1'(1'(1'(1'(0'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(0'(2'(0'(0'(2'(1'(3'(3'(3'(1'(3'(0'(0'(2'(2'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(x1)))))))))))))))))) -> 0'(1'(2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(1'(1'(3'(3'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(2'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(3'(1'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(x1)))))))))))))))))) -> 0'(0'(2'(1'(0'(1'(3'(3'(3'(3'(0'(2'(1'(0'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 0'(0'(0'(0'(0'(3'(1'(3'(3'(2'(1'(1'(3'(0'(1'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(0'(2'(0'(3'(3'(3'(1'(2'(2'(3'(3'(0'(2'(2'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(2'(0'(3'(3'(0'(1'(0'(3'(1'(3'(3'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(2'(3'(2'(2'(1'(3'(0'(0'(1'(1'(3'(0'(0'(0'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(x1)))))))))))))))))) -> 3'(2'(1'(1'(1'(1'(0'(0'(2'(3'(3'(2'(1'(0'(0'(2'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 3'(1'(2'(3'(2'(3'(2'(0'(1'(3'(3'(1'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(0'(1'(2'(1'(1'(1'(3'(2'(2'(2'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(1'(1'(3'(1'(0'(1'(1'(2'(3'(0'(3'(3'(3'(2'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(2'(3'(3'(3'(3'(2'(2'(1'(0'(2'(1'(2'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(0'(0'(3'(2'(3'(0'(0'(1'(2'(2'(3'(2'(1'(0'(1'(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_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

The TRS has the following type information:
1' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_1 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_3 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_2 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_0 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
2' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
0' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
3' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3: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_0:c_2:c_1:c_3:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
const :: c_0:c_2:c_1:c_3: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:

   1'(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 1'(2'(0'(2'(3'(2'(1'(1'(1'(1'(3'(3'(3'(3'(3'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(0'(2'(2'(3'(3'(0'(3'(0'(0'(3'(2'(3'(0'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x160))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x160))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x161))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x161))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x162))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x162))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(x163))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x163))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(x164))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x164))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(x165))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x165))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(x166))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x166))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(x167))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x167))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(x168))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x168))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(x169))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x169))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(x170))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x170))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(x171))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x171))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(x172))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x172))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(x173))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x173))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(x174))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x174))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(c_2(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(const))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x175))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x175))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x176))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x176))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x177))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x177))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(x178))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x178))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(x179))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x179))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(x180))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x180))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(x181))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x181))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(x182))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x182))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(x183))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x183))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(x184))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x184))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(x185))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x185))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(x186))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x186))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(x187))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x187))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(x188))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x188))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(x189))))))))))))))))))))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x189))))))))))))))))))))))))))))))))))) [2]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(c_2(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(const))))))))))))))))) [1]
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   2'(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1120))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1120))))))))))))))))))))))))))))))))))) [2]
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   2'(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(c_2(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(const))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(0'(2'(3'(0'(2'(1'(0'(3'(3'(2'(2'(2'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1181))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1181))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1182))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1182))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x1183))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1183))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(x1184))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1184))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(x1185))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1185))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(x1186))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1186))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(x1187))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1187))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(x1188))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1188))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(x1189))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1189))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(x1190))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1190))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(x1191))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1191))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(x1192))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1192))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(x1193))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1193))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(x1194))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1194))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(x1195))))))))))))))))))))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1195))))))))))))))))))))))))))))))))))) [2]
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   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_3(cons_0(x_119)) -> 3'(0'(encArg(x_119))) [0]
   encode_3(cons_1(x_120)) -> 3'(1'(encArg(x_120))) [0]
   encode_3(cons_2(x_121)) -> 3'(2'(encArg(x_121))) [0]
   encode_3(cons_3(x_122)) -> 3'(3'(encArg(x_122))) [0]
   encode_3(x_1) -> 3'(const) [0]
   encode_1(cons_0(x_123)) -> 1'(0'(encArg(x_123))) [0]
   encode_1(cons_1(x_124)) -> 1'(1'(encArg(x_124))) [0]
   encode_1(cons_2(x_125)) -> 1'(2'(encArg(x_125))) [0]
   encode_1(cons_3(x_126)) -> 1'(3'(encArg(x_126))) [0]
   encode_1(x_1) -> 1'(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_3(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

The TRS has the following type information:
1' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_1 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_3 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_2 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
c_0 :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
2' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
0' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
3' :: c_0:c_2:c_1:c_3:const -> c_0:c_2:c_1:c_3:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3: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_0:c_2:c_1:c_3:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:const
const :: c_0:c_2:c_1:c_3: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) -{ 1 }-> 3'(3'(1'(3'(2'(1'(1'(1'(1'(1'(0'(1'(0'(1'(3'(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 }-> 3'(3'(0'(0'(3'(2'(3'(0'(0'(1'(2'(2'(3'(2'(1'(0'(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 }-> 3'(2'(1'(3'(2'(2'(1'(3'(3'(0'(0'(3'(1'(0'(1'(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
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x189))))))))))))))))))))))))))))))))))) :|: 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 + x189))))))))))))))))))))))))))))))))), x189 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x176))))))))))))))))))))))))))))))))))) :|: x176 >= 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 + x176)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x186))))))))))))))))))))))))))))))))))) :|: x186 >= 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 + x186)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x181))))))))))))))))))))))))))))))))))) :|: 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 + x181))))))))))))))))))))))))))))))))), x181 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x180))))))))))))))))))))))))))))))))))) :|: 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 + x180))))))))))))))))))))))))))))))))), x180 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x183))))))))))))))))))))))))))))))))))) :|: x183 >= 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 + x183)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x184))))))))))))))))))))))))))))))))))) :|: 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 + x184))))))))))))))))))))))))))))))))), x184 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x177))))))))))))))))))))))))))))))))))) :|: 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 + x177))))))))))))))))))))))))))))))))), x177 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x182))))))))))))))))))))))))))))))))))) :|: x182 >= 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 + x182)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x178))))))))))))))))))))))))))))))))))) :|: 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 + x178))))))))))))))))))))))))))))))))), x178 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x175))))))))))))))))))))))))))))))))))) :|: x175 >= 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 + x175)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x187))))))))))))))))))))))))))))))))))) :|: x187 >= 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 + x187)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x185))))))))))))))))))))))))))))))))))) :|: x185 >= 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 + x185)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x179))))))))))))))))))))))))))))))))))) :|: 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 + x179))))))))))))))))))))))))))))))))), x179 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x188))))))))))))))))))))))))))))))))))) :|: 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 + x188))))))))))))))))))))))))))))))))), x188 >= 0
   0'(z) -{ 1 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(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'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(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
   0'(z) -{ 1 }-> 2'(0'(0'(1'(0'(3'(3'(2'(0'(1'(3'(0'(1'(2'(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
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1899))))))))))))))))))))))))))))))))))) :|: 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 + x1899))))))))))))))))))))))))))))))))), x1899 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1886))))))))))))))))))))))))))))))))))) :|: 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 + x1886))))))))))))))))))))))))))))))))), x1886 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1896))))))))))))))))))))))))))))))))))) :|: 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 + x1896))))))))))))))))))))))))))))))))), x1896 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1891))))))))))))))))))))))))))))))))))) :|: 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 + x1891))))))))))))))))))))))))))))))))), x1891 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1890))))))))))))))))))))))))))))))))))) :|: x1890 >= 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 + x1890)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1893))))))))))))))))))))))))))))))))))) :|: 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 + x1893))))))))))))))))))))))))))))))))), x1893 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1894))))))))))))))))))))))))))))))))))) :|: 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 + x1894))))))))))))))))))))))))))))))))), x1894 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1887))))))))))))))))))))))))))))))))))) :|: 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 + x1887))))))))))))))))))))))))))))))))), x1887 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1892))))))))))))))))))))))))))))))))))) :|: 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 + x1892))))))))))))))))))))))))))))))))), x1892 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1888))))))))))))))))))))))))))))))))))) :|: 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 + x1888))))))))))))))))))))))))))))))))), x1888 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1885))))))))))))))))))))))))))))))))))) :|: 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 + x1885))))))))))))))))))))))))))))))))), x1885 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1897))))))))))))))))))))))))))))))))))) :|: 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 + x1897))))))))))))))))))))))))))))))))), x1897 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1895))))))))))))))))))))))))))))))))))) :|: 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 + x1895))))))))))))))))))))))))))))))))), x1895 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1889))))))))))))))))))))))))))))))))))) :|: 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 + x1889))))))))))))))))))))))))))))))))), x1889 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1898))))))))))))))))))))))))))))))))))) :|: 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 + x1898))))))))))))))))))))))))))))))))), x1898 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(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 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(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 }-> 0'(3'(2'(1'(0'(0'(3'(2'(1'(0'(1'(2'(1'(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
   0'(z) -{ 1 }-> 0'(3'(2'(0'(3'(3'(0'(1'(0'(3'(1'(3'(3'(2'(1'(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
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1884))))))))))))))))))))))))))))))))))) :|: 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 + x1884))))))))))))))))))))))))))))))))), x1884 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1871))))))))))))))))))))))))))))))))))) :|: 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 + x1871))))))))))))))))))))))))))))))))), x1871 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1881))))))))))))))))))))))))))))))))))) :|: 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 + x1881))))))))))))))))))))))))))))))))), x1881 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1876))))))))))))))))))))))))))))))))))) :|: 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 + x1876))))))))))))))))))))))))))))))))), x1876 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1875))))))))))))))))))))))))))))))))))) :|: x1875 >= 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 + x1875)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1878))))))))))))))))))))))))))))))))))) :|: 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 + x1878))))))))))))))))))))))))))))))))), x1878 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1879))))))))))))))))))))))))))))))))))) :|: 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 + x1879))))))))))))))))))))))))))))))))), x1879 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1872))))))))))))))))))))))))))))))))))) :|: x1872 >= 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 + x1872)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1877))))))))))))))))))))))))))))))))))) :|: 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 + x1877))))))))))))))))))))))))))))))))), x1877 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1873))))))))))))))))))))))))))))))))))) :|: x1873 >= 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 + x1873)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1870))))))))))))))))))))))))))))))))))) :|: 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 + x1870))))))))))))))))))))))))))))))))), x1870 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1882))))))))))))))))))))))))))))))))))) :|: x1882 >= 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 + x1882)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1880))))))))))))))))))))))))))))))))))) :|: 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 + x1880))))))))))))))))))))))))))))))))), x1880 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1874))))))))))))))))))))))))))))))))))) :|: 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 + x1874))))))))))))))))))))))))))))))))), x1874 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1883))))))))))))))))))))))))))))))))))) :|: x1883 >= 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 + x1883)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(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'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(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
   0'(z) -{ 1 }-> 0'(2'(2'(3'(2'(2'(1'(3'(0'(0'(1'(1'(3'(0'(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
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1210))))))))))))))))))))))))))))))))))) :|: 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 + x1210))))))))))))))))))))))))))))))))), x1210 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(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
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1207))))))))))))))))))))))))))))))))))) :|: 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 + x1207))))))))))))))))))))))))))))))))), x1207 >= 0
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(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
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(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
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(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
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1208))))))))))))))))))))))))))))))))))) :|: x1208 >= 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 + x1208)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1206))))))))))))))))))))))))))))))))))) :|: x1206 >= 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 + x1206)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1209))))))))))))))))))))))))))))))))))) :|: 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 + x1209))))))))))))))))))))))))))))))))), x1209 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(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 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(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) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x11526))))))))))))))))))))))))))))))))))) :|: x11526 >= 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 + x11526)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x11513))))))))))))))))))))))))))))))))))) :|: 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 + x11513))))))))))))))))))))))))))))))))), x11513 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x11523))))))))))))))))))))))))))))))))))) :|: 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 + x11523))))))))))))))))))))))))))))))))), x11523 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x11518))))))))))))))))))))))))))))))))))) :|: x11518 >= 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 + x11518)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x11517))))))))))))))))))))))))))))))))))) :|: 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 + x11517))))))))))))))))))))))))))))))))), x11517 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x11520))))))))))))))))))))))))))))))))))) :|: x11520 >= 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 + x11520)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x11521))))))))))))))))))))))))))))))))))) :|: 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 + x11521))))))))))))))))))))))))))))))))), x11521 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x11514))))))))))))))))))))))))))))))))))) :|: 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 + x11514))))))))))))))))))))))))))))))))), x11514 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x11519))))))))))))))))))))))))))))))))))) :|: 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 + x11519))))))))))))))))))))))))))))))))), x11519 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x11515))))))))))))))))))))))))))))))))))) :|: 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 + x11515))))))))))))))))))))))))))))))))), x11515 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x11512))))))))))))))))))))))))))))))))))) :|: 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 + x11512))))))))))))))))))))))))))))))))), x11512 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x11524))))))))))))))))))))))))))))))))))) :|: 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 + x11524))))))))))))))))))))))))))))))))), x11524 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x11522))))))))))))))))))))))))))))))))))) :|: 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 + x11522))))))))))))))))))))))))))))))))), x11522 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x11516))))))))))))))))))))))))))))))))))) :|: x11516 >= 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 + x11516)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x11525))))))))))))))))))))))))))))))))))) :|: x11525 >= 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 + x11525)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(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'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(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'(2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(1'(1'(3'(3'(2'(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) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x11156))))))))))))))))))))))))))))))))))) :|: 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 + x11156))))))))))))))))))))))))))))))))), x11156 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x11143))))))))))))))))))))))))))))))))))) :|: x11143 >= 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 + x11143)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x11153))))))))))))))))))))))))))))))))))) :|: 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 + x11153))))))))))))))))))))))))))))))))), x11153 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x11148))))))))))))))))))))))))))))))))))) :|: 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 + x11148))))))))))))))))))))))))))))))))), x11148 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x11147))))))))))))))))))))))))))))))))))) :|: 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 + x11147))))))))))))))))))))))))))))))))), x11147 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x11150))))))))))))))))))))))))))))))))))) :|: 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 + x11150))))))))))))))))))))))))))))))))), x11150 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x11151))))))))))))))))))))))))))))))))))) :|: 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 + x11151))))))))))))))))))))))))))))))))), x11151 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x11144))))))))))))))))))))))))))))))))))) :|: x11144 >= 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 + x11144)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x11149))))))))))))))))))))))))))))))))))) :|: x11149 >= 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 + x11149)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x11145))))))))))))))))))))))))))))))))))) :|: x11145 >= 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 + x11145)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x11142))))))))))))))))))))))))))))))))))) :|: 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 + x11142))))))))))))))))))))))))))))))))), x11142 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x11154))))))))))))))))))))))))))))))))))) :|: 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 + x11154))))))))))))))))))))))))))))))))), x11154 >= 0
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x11152))))))))))))))))))))))))))))))))))) :|: x11152 >= 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 + x11152)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x11146))))))))))))))))))))))))))))))))))) :|: x11146 >= 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 + x11146)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x11155))))))))))))))))))))))))))))))))))) :|: x11155 >= 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 + x11155)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(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'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(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'(1'(2'(2'(2'(1'(0'(3'(2'(1'(3'(2'(1'(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'(1'(1'(1'(1'(0'(2'(1'(3'(1'(0'(2'(1'(3'(0'(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
   0'(z) -{ 1 }-> 0'(0'(2'(2'(3'(3'(0'(3'(0'(0'(3'(2'(3'(0'(1'(1'(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) -{ 1 }-> 0'(0'(1'(3'(0'(1'(0'(0'(0'(1'(0'(2'(3'(3'(3'(3'(2'(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) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1320))))))))))))))))))))))))))))))))))) :|: x1320 >= 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 + x1320)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1307))))))))))))))))))))))))))))))))))) :|: x1307 >= 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 + x1307)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1317))))))))))))))))))))))))))))))))))) :|: 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 + x1317))))))))))))))))))))))))))))))))), x1317 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1312))))))))))))))))))))))))))))))))))) :|: x1312 >= 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 + x1312)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1311))))))))))))))))))))))))))))))))))) :|: x1311 >= 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 + x1311)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1314))))))))))))))))))))))))))))))))))) :|: 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 + x1314))))))))))))))))))))))))))))))))), x1314 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1315))))))))))))))))))))))))))))))))))) :|: 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 + x1315))))))))))))))))))))))))))))))))), x1315 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1308))))))))))))))))))))))))))))))))))) :|: 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 + x1308))))))))))))))))))))))))))))))))), x1308 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1313))))))))))))))))))))))))))))))))))) :|: x1313 >= 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 + x1313)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1309))))))))))))))))))))))))))))))))))) :|: x1309 >= 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 + x1309)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1306))))))))))))))))))))))))))))))))))) :|: 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 + x1306))))))))))))))))))))))))))))))))), x1306 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1318))))))))))))))))))))))))))))))))))) :|: 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 + x1318))))))))))))))))))))))))))))))))), x1318 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1316))))))))))))))))))))))))))))))))))) :|: 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 + x1316))))))))))))))))))))))))))))))))), x1316 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1310))))))))))))))))))))))))))))))))))) :|: 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 + x1310))))))))))))))))))))))))))))))))), x1310 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1319))))))))))))))))))))))))))))))))))) :|: x1319 >= 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 + x1319)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(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'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(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'(1'(0'(0'(0'(0'(2'(2'(1'(0'(3'(3'(3'(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
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(3'(1'(3'(3'(2'(1'(1'(3'(0'(1'(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
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(3'(2'(1'(1'(3'(3'(1'(1'(2'(1'(1'(0'(1'(1'(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
   1'(z) -{ 1 }-> 2'(2'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(3'(1'(0'(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) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(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 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1552))))))))))))))))))))))))))))))))))) :|: 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 + x1552))))))))))))))))))))))))))))))))), x1552 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1562))))))))))))))))))))))))))))))))))) :|: x1562 >= 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 + x1562)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1557))))))))))))))))))))))))))))))))))) :|: 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 + x1557))))))))))))))))))))))))))))))))), x1557 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1556))))))))))))))))))))))))))))))))))) :|: x1556 >= 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 + x1556)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1559))))))))))))))))))))))))))))))))))) :|: x1559 >= 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 + x1559)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1560))))))))))))))))))))))))))))))))))) :|: x1560 >= 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 + x1560)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1553))))))))))))))))))))))))))))))))))) :|: 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 + x1553))))))))))))))))))))))))))))))))), x1553 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1558))))))))))))))))))))))))))))))))))) :|: x1558 >= 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 + x1558)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1554))))))))))))))))))))))))))))))))))) :|: 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 + x1554))))))))))))))))))))))))))))))))), x1554 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1551))))))))))))))))))))))))))))))))))) :|: x1551 >= 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 + x1551)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(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 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1561))))))))))))))))))))))))))))))))))) :|: x1561 >= 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 + x1561)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1555))))))))))))))))))))))))))))))))))) :|: 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 + x1555))))))))))))))))))))))))))))))))), x1555 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(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) -{ 1 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(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 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(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
   1'(z) -{ 1 }-> 2'(1'(3'(1'(2'(3'(3'(0'(1'(3'(3'(2'(1'(2'(1'(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
   1'(z) -{ 1 }-> 2'(1'(3'(1'(0'(1'(1'(1'(0'(1'(2'(3'(0'(2'(3'(3'(2'(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'(3'(3'(3'(3'(0'(0'(1'(0'(1'(3'(1'(3'(0'(0'(3'(2'(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'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x11053))))))))))))))))))))))))))))))))))) :|: x11053 >= 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 + x11053)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x11040))))))))))))))))))))))))))))))))))) :|: 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 + x11040))))))))))))))))))))))))))))))))), x11040 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x11050))))))))))))))))))))))))))))))))))) :|: 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 + x11050))))))))))))))))))))))))))))))))), x11050 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x11045))))))))))))))))))))))))))))))))))) :|: x11045 >= 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 + x11045)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x11044))))))))))))))))))))))))))))))))))) :|: x11044 >= 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 + x11044)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x11047))))))))))))))))))))))))))))))))))) :|: x11047 >= 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 + x11047)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x11048))))))))))))))))))))))))))))))))))) :|: 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 + x11048))))))))))))))))))))))))))))))))), x11048 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x11041))))))))))))))))))))))))))))))))))) :|: 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 + x11041))))))))))))))))))))))))))))))))), x11041 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x11046))))))))))))))))))))))))))))))))))) :|: x11046 >= 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 + x11046)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x11042))))))))))))))))))))))))))))))))))) :|: x11042 >= 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 + x11042)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x11039))))))))))))))))))))))))))))))))))) :|: 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 + x11039))))))))))))))))))))))))))))))))), x11039 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x11051))))))))))))))))))))))))))))))))))) :|: 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 + x11051))))))))))))))))))))))))))))))))), x11051 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x11049))))))))))))))))))))))))))))))))))) :|: 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 + x11049))))))))))))))))))))))))))))))))), x11049 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x11043))))))))))))))))))))))))))))))))))) :|: 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 + x11043))))))))))))))))))))))))))))))))), x11043 >= 0
   1'(z) -{ 2 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x11052))))))))))))))))))))))))))))))))))) :|: 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 + x11052))))))))))))))))))))))))))))))))), x11052 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(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'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(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'(2'(2'(2'(1'(2'(2'(1'(0'(2'(3'(2'(0'(2'(3'(0'(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'(2'(2'(2'(1'(1'(3'(0'(3'(3'(0'(1'(0'(1'(1'(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
   1'(z) -{ 1 }-> 1'(2'(1'(2'(2'(0'(2'(1'(1'(1'(2'(1'(3'(3'(2'(3'(3'(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) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1455))))))))))))))))))))))))))))))))))) :|: 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 + x1455))))))))))))))))))))))))))))))))), x1455 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1442))))))))))))))))))))))))))))))))))) :|: x1442 >= 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 + x1442)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1452))))))))))))))))))))))))))))))))))) :|: x1452 >= 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 + x1452)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1447))))))))))))))))))))))))))))))))))) :|: x1447 >= 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 + x1447)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1446))))))))))))))))))))))))))))))))))) :|: x1446 >= 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 + x1446)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1449))))))))))))))))))))))))))))))))))) :|: x1449 >= 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 + x1449)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1450))))))))))))))))))))))))))))))))))) :|: 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 + x1450))))))))))))))))))))))))))))))))), x1450 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1443))))))))))))))))))))))))))))))))))) :|: 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 + x1443))))))))))))))))))))))))))))))))), x1443 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1448))))))))))))))))))))))))))))))))))) :|: 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 + x1448))))))))))))))))))))))))))))))))), x1448 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1444))))))))))))))))))))))))))))))))))) :|: 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 + x1444))))))))))))))))))))))))))))))))), x1444 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1441))))))))))))))))))))))))))))))))))) :|: x1441 >= 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 + x1441)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1453))))))))))))))))))))))))))))))))))) :|: 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 + x1453))))))))))))))))))))))))))))))))), x1453 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1451))))))))))))))))))))))))))))))))))) :|: x1451 >= 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 + x1451)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1445))))))))))))))))))))))))))))))))))) :|: 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 + x1445))))))))))))))))))))))))))))))))), x1445 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1454))))))))))))))))))))))))))))))))))) :|: 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 + x1454))))))))))))))))))))))))))))))))), x1454 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(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'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(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'(2'(0'(2'(3'(2'(1'(1'(1'(1'(3'(3'(3'(3'(3'(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
   1'(z) -{ 1 }-> 1'(1'(3'(2'(1'(2'(1'(2'(1'(0'(2'(3'(1'(2'(2'(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'(1'(0'(2'(3'(0'(2'(1'(0'(3'(3'(2'(2'(2'(3'(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'(1'(0'(2'(0'(3'(3'(3'(1'(2'(2'(3'(3'(0'(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'(0'(1'(2'(2'(1'(0'(1'(1'(0'(3'(0'(3'(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
   1'(z) -{ 1 }-> 1'(1'(0'(0'(1'(2'(1'(2'(3'(0'(1'(2'(3'(3'(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'(1'(0'(0'(0'(1'(3'(3'(1'(2'(3'(1'(3'(2'(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 }-> 1'(0'(1'(3'(0'(1'(0'(3'(1'(1'(1'(1'(2'(3'(3'(1'(2'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(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) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1134))))))))))))))))))))))))))))))))))) :|: 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 + x1134))))))))))))))))))))))))))))))))), x1134 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1121))))))))))))))))))))))))))))))))))) :|: 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 + x1121))))))))))))))))))))))))))))))))), x1121 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1131))))))))))))))))))))))))))))))))))) :|: x1131 >= 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 + x1131)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1126))))))))))))))))))))))))))))))))))) :|: 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 + x1126))))))))))))))))))))))))))))))))), x1126 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1125))))))))))))))))))))))))))))))))))) :|: x1125 >= 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 + x1125)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1128))))))))))))))))))))))))))))))))))) :|: x1128 >= 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 + x1128)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1129))))))))))))))))))))))))))))))))))) :|: 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 + x1129))))))))))))))))))))))))))))))))), x1129 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1122))))))))))))))))))))))))))))))))))) :|: x1122 >= 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 + x1122)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1127))))))))))))))))))))))))))))))))))) :|: 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 + x1127))))))))))))))))))))))))))))))))), x1127 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1123))))))))))))))))))))))))))))))))))) :|: x1123 >= 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 + x1123)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(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
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1132))))))))))))))))))))))))))))))))))) :|: x1132 >= 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 + x1132)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1130))))))))))))))))))))))))))))))))))) :|: 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 + x1130))))))))))))))))))))))))))))))))), x1130 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1124))))))))))))))))))))))))))))))))))) :|: 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 + x1124))))))))))))))))))))))))))))))))), x1124 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1133))))))))))))))))))))))))))))))))))) :|: 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 + x1133))))))))))))))))))))))))))))))))), x1133 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(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
   2'(z) -{ 1 }-> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(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
   2'(z) -{ 1 }-> 2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(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) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1419))))))))))))))))))))))))))))))))))) :|: 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 + x1419))))))))))))))))))))))))))))))))), x1419 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1406))))))))))))))))))))))))))))))))))) :|: x1406 >= 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 + x1406)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1416))))))))))))))))))))))))))))))))))) :|: 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 + x1416))))))))))))))))))))))))))))))))), x1416 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1411))))))))))))))))))))))))))))))))))) :|: x1411 >= 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 + x1411)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1410))))))))))))))))))))))))))))))))))) :|: x1410 >= 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 + x1410)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1413))))))))))))))))))))))))))))))))))) :|: 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 + x1413))))))))))))))))))))))))))))))))), x1413 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1414))))))))))))))))))))))))))))))))))) :|: 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 + x1414))))))))))))))))))))))))))))))))), x1414 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1407))))))))))))))))))))))))))))))))))) :|: 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 + x1407))))))))))))))))))))))))))))))))), x1407 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1412))))))))))))))))))))))))))))))))))) :|: x1412 >= 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 + x1412)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1408))))))))))))))))))))))))))))))))))) :|: x1408 >= 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 + x1408)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1405))))))))))))))))))))))))))))))))))) :|: 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 + x1405))))))))))))))))))))))))))))))))), x1405 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1417))))))))))))))))))))))))))))))))))) :|: 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 + x1417))))))))))))))))))))))))))))))))), x1417 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1415))))))))))))))))))))))))))))))))))) :|: 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 + x1415))))))))))))))))))))))))))))))))), x1415 >= 0
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1409))))))))))))))))))))))))))))))))))) :|: x1409 >= 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 + x1409)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1418))))))))))))))))))))))))))))))))))) :|: x1418 >= 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 + x1418)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(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'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(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'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(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'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(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
   2'(z) -{ 1 }-> 2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(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'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(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'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(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
   2'(z) -{ 2 }-> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1284))))))))))))))))))))))))))))))))))) :|: 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 + x1284))))))))))))))))))))))))))))))))), x1284 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1281))))))))))))))))))))))))))))))))))) :|: 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 + x1281))))))))))))))))))))))))))))))))), x1281 >= 0
   2'(z) -{ 2 }-> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1282))))))))))))))))))))))))))))))))))) :|: x1282 >= 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 + x1282)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(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'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(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) -{ 2 }-> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1283))))))))))))))))))))))))))))))))))) :|: x1283 >= 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 + x1283)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(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'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(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'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1979))))))))))))))))))))))))))))))))))) :|: 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 + x1979))))))))))))))))))))))))))))))))), x1979 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1978))))))))))))))))))))))))))))))))))) :|: 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 + x1978))))))))))))))))))))))))))))))))), x1978 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(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
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(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)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(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
   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(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'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(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'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(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'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(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 }-> 1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(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
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(3'(2'(3'(0'(1'(0'(2'(2'(3'(3'(1'(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
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(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
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1182))))))))))))))))))))))))))))))))))) :|: 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 + x1182))))))))))))))))))))))))))))))))), x1182 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(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
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1187))))))))))))))))))))))))))))))))))) :|: x1187 >= 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 + x1187)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1186))))))))))))))))))))))))))))))))))) :|: x1186 >= 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 + x1186)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1189))))))))))))))))))))))))))))))))))) :|: x1189 >= 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 + x1189)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1190))))))))))))))))))))))))))))))))))) :|: 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 + x1190))))))))))))))))))))))))))))))))), x1190 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1183))))))))))))))))))))))))))))))))))) :|: x1183 >= 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 + x1183)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1188))))))))))))))))))))))))))))))))))) :|: 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 + x1188))))))))))))))))))))))))))))))))), x1188 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1184))))))))))))))))))))))))))))))))))) :|: x1184 >= 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 + x1184)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1181))))))))))))))))))))))))))))))))))) :|: x1181 >= 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 + x1181)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1191))))))))))))))))))))))))))))))))))) :|: 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 + x1191))))))))))))))))))))))))))))))))), x1191 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1185))))))))))))))))))))))))))))))))))) :|: 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 + x1185))))))))))))))))))))))))))))))))), x1185 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(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
   3'(z) -{ 1 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(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
   3'(z) -{ 1 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(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
   3'(z) -{ 1 }-> 3'(3'(0'(3'(3'(3'(3'(0'(0'(1'(0'(2'(3'(0'(0'(0'(2'(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'(2'(3'(2'(0'(0'(0'(2'(3'(3'(0'(1'(1'(3'(1'(0'(1'(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'(3'(1'(1'(3'(0'(2'(3'(3'(3'(3'(0'(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
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x11425))))))))))))))))))))))))))))))))))) :|: 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 + x11425))))))))))))))))))))))))))))))))), x11425 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x11412))))))))))))))))))))))))))))))))))) :|: 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 + x11412))))))))))))))))))))))))))))))))), x11412 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x11422))))))))))))))))))))))))))))))))))) :|: 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 + x11422))))))))))))))))))))))))))))))))), x11422 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x11417))))))))))))))))))))))))))))))))))) :|: x11417 >= 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 + x11417)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x11416))))))))))))))))))))))))))))))))))) :|: 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 + x11416))))))))))))))))))))))))))))))))), x11416 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x11419))))))))))))))))))))))))))))))))))) :|: x11419 >= 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 + x11419)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x11420))))))))))))))))))))))))))))))))))) :|: 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 + x11420))))))))))))))))))))))))))))))))), x11420 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x11413))))))))))))))))))))))))))))))))))) :|: 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 + x11413))))))))))))))))))))))))))))))))), x11413 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x11418))))))))))))))))))))))))))))))))))) :|: 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 + x11418))))))))))))))))))))))))))))))))), x11418 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x11414))))))))))))))))))))))))))))))))))) :|: x11414 >= 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 + x11414)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x11411))))))))))))))))))))))))))))))))))) :|: x11411 >= 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 + x11411)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x11423))))))))))))))))))))))))))))))))))) :|: 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 + x11423))))))))))))))))))))))))))))))))), x11423 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x11421))))))))))))))))))))))))))))))))))) :|: x11421 >= 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 + x11421)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x11415))))))))))))))))))))))))))))))))))) :|: 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 + x11415))))))))))))))))))))))))))))))))), x11415 >= 0
   3'(z) -{ 2 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x11424))))))))))))))))))))))))))))))))))) :|: 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 + x11424))))))))))))))))))))))))))))))))), x11424 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(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'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(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'(2'(1'(1'(1'(1'(0'(0'(2'(3'(3'(2'(1'(0'(0'(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
   3'(z) -{ 1 }-> 3'(2'(0'(1'(2'(1'(1'(1'(3'(2'(2'(2'(3'(3'(3'(3'(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) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x11213))))))))))))))))))))))))))))))))))) :|: x11213 >= 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 + x11213)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x11200))))))))))))))))))))))))))))))))))) :|: 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 + x11200))))))))))))))))))))))))))))))))), x11200 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x11210))))))))))))))))))))))))))))))))))) :|: 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 + x11210))))))))))))))))))))))))))))))))), x11210 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x11205))))))))))))))))))))))))))))))))))) :|: x11205 >= 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 + x11205)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x11204))))))))))))))))))))))))))))))))))) :|: 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 + x11204))))))))))))))))))))))))))))))))), x11204 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x11207))))))))))))))))))))))))))))))))))) :|: 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 + x11207))))))))))))))))))))))))))))))))), x11207 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x11208))))))))))))))))))))))))))))))))))) :|: 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 + x11208))))))))))))))))))))))))))))))))), x11208 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x11201))))))))))))))))))))))))))))))))))) :|: x11201 >= 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 + x11201)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x11206))))))))))))))))))))))))))))))))))) :|: x11206 >= 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 + x11206)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x11202))))))))))))))))))))))))))))))))))) :|: 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 + x11202))))))))))))))))))))))))))))))))), x11202 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x11199))))))))))))))))))))))))))))))))))) :|: 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 + x11199))))))))))))))))))))))))))))))))), x11199 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x11211))))))))))))))))))))))))))))))))))) :|: 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 + x11211))))))))))))))))))))))))))))))))), x11211 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x11209))))))))))))))))))))))))))))))))))) :|: x11209 >= 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 + x11209)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x11203))))))))))))))))))))))))))))))))))) :|: x11203 >= 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 + x11203)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x11212))))))))))))))))))))))))))))))))))) :|: 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 + x11212))))))))))))))))))))))))))))))))), x11212 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(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'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(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
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(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
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1106))))))))))))))))))))))))))))))))))) :|: x1106 >= 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 + x1106)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(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
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(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
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(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
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(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
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(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
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(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
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1105))))))))))))))))))))))))))))))))))) :|: x1105 >= 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 + x1105)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(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
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(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
   3'(z) -{ 1 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(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'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(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'(2'(3'(2'(3'(2'(0'(1'(3'(3'(1'(3'(3'(2'(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
   3'(z) -{ 1 }-> 3'(1'(1'(2'(3'(2'(1'(3'(0'(2'(1'(3'(3'(0'(1'(0'(1'(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'(0'(1'(3'(2'(0'(3'(2'(2'(2'(3'(2'(1'(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
   3'(z) -{ 1 }-> 3'(0'(2'(0'(0'(2'(1'(3'(3'(3'(1'(3'(0'(0'(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
   3'(z) -{ 1 }-> 3'(0'(1'(1'(3'(1'(0'(1'(1'(2'(3'(0'(3'(3'(3'(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
   3'(z) -{ 1 }-> 3'(0'(1'(0'(2'(3'(2'(3'(2'(0'(3'(3'(1'(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
   3'(z) -{ 1 }-> 2'(1'(1'(3'(3'(2'(1'(3'(0'(0'(2'(3'(1'(0'(0'(3'(2'(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 }-> 0'(3'(3'(3'(3'(3'(3'(0'(1'(0'(1'(1'(1'(3'(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
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1104))))))))))))))))))))))))))))))))))) :|: 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 + x1104))))))))))))))))))))))))))))))))), x1104 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x191))))))))))))))))))))))))))))))))))) :|: 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 + x191))))))))))))))))))))))))))))))))), x191 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1101))))))))))))))))))))))))))))))))))) :|: x1101 >= 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 + x1101)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x196))))))))))))))))))))))))))))))))))) :|: 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 + x196))))))))))))))))))))))))))))))))), x196 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x195))))))))))))))))))))))))))))))))))) :|: x195 >= 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 + x195)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x198))))))))))))))))))))))))))))))))))) :|: 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 + x198))))))))))))))))))))))))))))))))), x198 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x199))))))))))))))))))))))))))))))))))) :|: 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 + x199))))))))))))))))))))))))))))))))), x199 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x192))))))))))))))))))))))))))))))))))) :|: x192 >= 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 + x192)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x197))))))))))))))))))))))))))))))))))) :|: x197 >= 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 + x197)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x193))))))))))))))))))))))))))))))))))) :|: x193 >= 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 + x193)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x190))))))))))))))))))))))))))))))))))) :|: 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 + x190))))))))))))))))))))))))))))))))), x190 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1102))))))))))))))))))))))))))))))))))) :|: 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 + x1102))))))))))))))))))))))))))))))))), x1102 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1100))))))))))))))))))))))))))))))))))) :|: 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 + x1100))))))))))))))))))))))))))))))))), x1100 >= 0
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x194))))))))))))))))))))))))))))))))))) :|: x194 >= 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 + x194)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1103))))))))))))))))))))))))))))))))))) :|: x1103 >= 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 + x1103)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(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 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(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 }-> 0'(2'(3'(1'(3'(3'(2'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(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 }-> 0'(2'(2'(3'(3'(3'(3'(2'(2'(1'(0'(2'(1'(2'(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
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x174))))))))))))))))))))))))))))))))))) :|: 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 + x174))))))))))))))))))))))))))))))))), x174 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x161))))))))))))))))))))))))))))))))))) :|: 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 + x161))))))))))))))))))))))))))))))))), x161 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x171))))))))))))))))))))))))))))))))))) :|: 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 + x171))))))))))))))))))))))))))))))))), x171 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x166))))))))))))))))))))))))))))))))))) :|: x166 >= 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 + x166)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x165))))))))))))))))))))))))))))))))))) :|: x165 >= 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 + x165)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x168))))))))))))))))))))))))))))))))))) :|: 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 + x168))))))))))))))))))))))))))))))))), x168 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x169))))))))))))))))))))))))))))))))))) :|: 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 + x169))))))))))))))))))))))))))))))))), x169 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x162))))))))))))))))))))))))))))))))))) :|: x162 >= 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 + x162)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x167))))))))))))))))))))))))))))))))))) :|: 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 + x167))))))))))))))))))))))))))))))))), x167 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x163))))))))))))))))))))))))))))))))))) :|: x163 >= 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 + x163)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x160))))))))))))))))))))))))))))))))))) :|: 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 + x160))))))))))))))))))))))))))))))))), x160 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x172))))))))))))))))))))))))))))))))))) :|: x172 >= 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 + x172)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x170))))))))))))))))))))))))))))))))))) :|: 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 + x170))))))))))))))))))))))))))))))))), x170 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x164))))))))))))))))))))))))))))))))))) :|: 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 + x164))))))))))))))))))))))))))))))))), x164 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x173))))))))))))))))))))))))))))))))))) :|: x173 >= 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 + x173)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(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 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(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
   3'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(3'(3'(0'(1'(1'(0'(0'(1'(3'(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
   3'(z) -{ 1 }-> 0'(1'(1'(0'(2'(3'(3'(3'(0'(1'(1'(1'(1'(0'(3'(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
   3'(z) -{ 1 }-> 0'(0'(2'(1'(0'(1'(3'(3'(3'(3'(0'(2'(1'(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
   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_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   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_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   0'(z) -{ 1 }-> 3'(3'(1'(3'(2'(1'(1'(1'(1'(1'(0'(1'(0'(1'(3'(2'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(3'(0'(0'(3'(2'(3'(0'(0'(1'(2'(2'(3'(2'(1'(0'(1'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 3'(2'(1'(3'(2'(2'(1'(3'(3'(0'(0'(3'(1'(0'(1'(0'(1'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(1'(0'(3'(3'(2'(0'(1'(3'(0'(1'(2'(3'(3'(0'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(1'(0'(0'(3'(2'(1'(0'(1'(2'(1'(3'(1'(2'(0'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(0'(3'(3'(0'(1'(0'(3'(1'(3'(3'(2'(1'(0'(0'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
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   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(3'(3'(0'(1'(1'(0'(0'(1'(3'(3'(1'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(1'(1'(0'(2'(3'(3'(3'(0'(1'(1'(1'(1'(0'(3'(3'(1'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 0'(0'(2'(1'(0'(1'(3'(3'(3'(3'(0'(2'(1'(0'(1'(2'(0'(0'(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_3(v0) -> null_encode_3 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

And the following fresh constants:    null_encArg, null_encode_0, null_encode_3, null_encode_1, 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:

   1'(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(x1)))))))))))))))))) -> 1'(2'(0'(2'(3'(2'(1'(1'(1'(1'(3'(3'(3'(3'(3'(2'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(0'(3'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x1)))))))))))))))))) -> 0'(0'(2'(2'(3'(3'(0'(3'(0'(0'(3'(2'(3'(0'(1'(1'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(x1)))))))))))))))))) -> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x1)))))))))))))))))) -> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(3'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(0'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(3'(1'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 2'(2'(1'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(2'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(0'(2'(3'(0'(2'(1'(0'(3'(3'(2'(2'(2'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(1'(0'(2'(2'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(x1)))))))))))))))))) -> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(3'(3'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(x1)))))))))))))))))) -> 0'(3'(2'(1'(0'(0'(3'(2'(1'(0'(1'(2'(1'(3'(1'(2'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(0'(1'(2'(2'(1'(0'(1'(1'(0'(3'(0'(3'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(3'(2'(0'(0'(0'(2'(3'(3'(0'(1'(1'(3'(1'(0'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(0'(1'(2'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(0'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(x1)))))))))))))))))) -> 1'(1'(0'(0'(1'(2'(1'(2'(3'(0'(1'(2'(3'(3'(2'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(1'(3'(1'(2'(3'(3'(0'(1'(3'(3'(2'(1'(2'(1'(3'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 2'(3'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(1'(2'(3'(2'(1'(3'(0'(2'(1'(3'(3'(0'(1'(0'(1'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(0'(0'(1'(0'(3'(3'(2'(0'(1'(3'(0'(1'(2'(3'(3'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(0'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(1'(3'(0'(1'(0'(0'(0'(1'(0'(2'(3'(3'(3'(3'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 1'(3'(3'(3'(3'(0'(0'(1'(0'(1'(3'(1'(3'(0'(0'(3'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(x1)))))))))))))))))) -> 3'(3'(2'(1'(1'(3'(3'(1'(1'(2'(1'(1'(0'(1'(1'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 2'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(x1)))))))))))))))))) -> 1'(2'(2'(2'(1'(1'(3'(0'(3'(3'(0'(1'(0'(1'(1'(2'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(2'(1'(0'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(3'(3'(2'(3'(0'(1'(0'(2'(2'(3'(3'(1'(2'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(2'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(3'(2'(1'(2'(1'(2'(1'(0'(2'(3'(1'(2'(2'(1'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(x1)))))))))))))))))) -> 0'(1'(1'(1'(1'(2'(3'(3'(0'(1'(1'(0'(0'(1'(3'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(0'(1'(0'(2'(3'(2'(3'(2'(0'(3'(3'(1'(0'(2'(1'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(x1)))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(2'(2'(1'(0'(3'(3'(3'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(1'(2'(2'(0'(2'(1'(1'(1'(2'(1'(3'(3'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(x1)))))))))))))))))) -> 3'(2'(1'(3'(2'(2'(1'(3'(3'(0'(0'(3'(1'(0'(1'(0'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(x1)))))))))))))))))) -> 1'(0'(1'(3'(0'(1'(0'(3'(1'(1'(1'(1'(2'(3'(3'(1'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(x1)))))))))))))))))) -> 3'(2'(2'(3'(1'(1'(3'(0'(2'(3'(3'(3'(3'(0'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 0'(1'(1'(2'(2'(2'(1'(0'(3'(2'(1'(3'(2'(1'(0'(1'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(3'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(x1)))))))))))))))))) -> 3'(1'(0'(1'(3'(2'(0'(3'(2'(2'(2'(3'(2'(1'(2'(1'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(x1)))))))))))))))))) -> 0'(1'(1'(1'(1'(0'(2'(1'(3'(1'(0'(2'(1'(3'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(x1)))))))))))))))))) -> 2'(1'(3'(1'(0'(1'(1'(1'(0'(1'(2'(3'(0'(2'(3'(3'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(1'(3'(2'(1'(1'(1'(1'(1'(0'(1'(0'(1'(3'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(x1)))))))))))))))))) -> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(0'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(x1)))))))))))))))))) -> 0'(2'(3'(1'(3'(3'(2'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(3'(3'(1'(2'(3'(1'(3'(2'(2'(2'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(2'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 1'(2'(2'(2'(1'(2'(2'(1'(0'(2'(3'(2'(0'(2'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(1'(3'(3'(2'(1'(3'(0'(0'(2'(3'(1'(0'(0'(3'(2'(1'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(x1)))))))))))))))))) -> 3'(3'(0'(3'(3'(3'(3'(0'(0'(1'(0'(2'(3'(0'(0'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(3'(3'(3'(3'(3'(0'(1'(0'(1'(1'(1'(3'(1'(1'(0'(1'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(x1)))))))))))))))))) -> 0'(1'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(2'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0'(1'(1'(0'(2'(3'(3'(3'(0'(1'(1'(1'(1'(0'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 3'(0'(2'(0'(0'(2'(1'(3'(3'(3'(1'(3'(0'(0'(2'(2'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(1'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(x1)))))))))))))))))) -> 0'(1'(2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(1'(1'(3'(3'(2'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(3'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(2'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(3'(1'(0'(1'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(x1)))))))))))))))))) -> 0'(0'(2'(1'(0'(1'(3'(3'(3'(3'(0'(2'(1'(0'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(x1)))))))))))))))))) -> 0'(0'(0'(0'(0'(3'(1'(3'(3'(2'(1'(1'(3'(0'(1'(0'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(1'(0'(2'(0'(3'(3'(3'(1'(2'(2'(3'(3'(0'(2'(2'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(x1)))))))))))))))))) -> 0'(3'(2'(0'(3'(3'(0'(1'(0'(3'(1'(3'(3'(2'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 0'(2'(2'(3'(2'(2'(1'(3'(0'(0'(1'(1'(3'(0'(0'(0'(1'(3'(x1)))))))))))))))))) [1]
   2'(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(x1)))))))))))))))))) -> 2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(x1)))))))))))))))))) -> 3'(2'(1'(1'(1'(1'(0'(0'(2'(3'(3'(2'(1'(0'(0'(2'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(x1)))))))))))))))))) -> 3'(1'(2'(3'(2'(3'(2'(0'(1'(3'(3'(1'(3'(3'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(x1)))))))))))))))))) -> 3'(2'(0'(1'(2'(1'(1'(1'(3'(2'(2'(2'(3'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(x1)))))))))))))))))) -> 3'(0'(1'(1'(3'(1'(0'(1'(1'(2'(3'(0'(3'(3'(3'(2'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(x1)))))))))))))))))) -> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(x1)))))))))))))))))) -> 0'(2'(2'(3'(3'(3'(3'(2'(2'(1'(0'(2'(1'(2'(0'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(0'(0'(3'(2'(3'(0'(0'(1'(2'(2'(3'(2'(1'(0'(1'(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_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_3(v0) -> null_encode_3 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

The TRS has the following type information:
1' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
c_1 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
c_3 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
c_2 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
c_0 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
2' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
0' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
3' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3' -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1: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_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encArg :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_0 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_3 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_1 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_encode_2 :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_0' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_1' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_2' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1:null_encode_2:null_0':null_1':null_2':null_3'
null_3' :: c_0:c_2:c_1:c_3:null_encArg:null_encode_0:null_encode_3:null_encode_1: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_3 => 0
   null_encode_1 => 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 }-> 3'(3'(1'(3'(2'(1'(1'(1'(1'(1'(0'(1'(0'(1'(3'(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 }-> 3'(3'(0'(0'(3'(2'(3'(0'(0'(1'(2'(2'(3'(2'(1'(0'(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 }-> 3'(2'(1'(3'(2'(2'(1'(3'(3'(0'(0'(3'(1'(0'(1'(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
   0'(z) -{ 1 }-> 2'(3'(3'(2'(3'(3'(3'(2'(0'(0'(0'(0'(1'(2'(2'(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 }-> 2'(0'(0'(1'(0'(3'(3'(2'(0'(1'(3'(0'(1'(2'(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
   0'(z) -{ 1 }-> 0'(3'(3'(1'(0'(2'(0'(0'(2'(0'(1'(3'(1'(0'(2'(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
   0'(z) -{ 1 }-> 0'(3'(2'(1'(0'(0'(3'(2'(1'(0'(1'(2'(1'(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
   0'(z) -{ 1 }-> 0'(3'(2'(0'(3'(3'(0'(1'(0'(3'(1'(3'(3'(2'(1'(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
   0'(z) -{ 1 }-> 0'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(0'(2'(2'(1'(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
   0'(z) -{ 1 }-> 0'(2'(2'(3'(2'(2'(1'(3'(0'(0'(1'(1'(3'(0'(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
   0'(z) -{ 1 }-> 0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(3'(3'(2'(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
   0'(z) -{ 1 }-> 0'(1'(3'(3'(2'(3'(3'(0'(0'(1'(0'(0'(0'(3'(3'(3'(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'(1'(2'(2'(0'(1'(1'(2'(2'(2'(1'(1'(1'(1'(3'(3'(2'(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'(2'(1'(0'(0'(3'(2'(1'(2'(0'(1'(3'(3'(3'(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
   0'(z) -{ 1 }-> 0'(1'(1'(2'(2'(2'(1'(0'(3'(2'(1'(3'(2'(1'(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'(1'(1'(1'(1'(0'(2'(1'(3'(1'(0'(2'(1'(3'(0'(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
   0'(z) -{ 1 }-> 0'(0'(2'(2'(3'(3'(0'(3'(0'(0'(3'(2'(3'(0'(1'(1'(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) -{ 1 }-> 0'(0'(1'(3'(0'(1'(0'(0'(0'(1'(0'(2'(3'(3'(3'(3'(2'(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'(1'(1'(2'(1'(1'(3'(3'(1'(0'(1'(2'(1'(0'(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
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(0'(2'(2'(1'(0'(3'(3'(3'(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
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(3'(1'(3'(3'(2'(1'(1'(3'(0'(1'(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
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(3'(2'(1'(1'(3'(3'(1'(1'(2'(1'(1'(0'(1'(1'(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
   1'(z) -{ 1 }-> 2'(2'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(3'(1'(0'(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 }-> 2'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(0'(1'(2'(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
   1'(z) -{ 1 }-> 2'(1'(3'(1'(2'(3'(3'(0'(1'(3'(3'(2'(1'(2'(1'(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
   1'(z) -{ 1 }-> 2'(1'(3'(1'(0'(1'(1'(1'(0'(1'(2'(3'(0'(2'(3'(3'(2'(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'(3'(3'(3'(3'(0'(0'(1'(0'(1'(3'(1'(3'(0'(0'(3'(2'(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'(3'(3'(0'(1'(2'(0'(3'(0'(1'(2'(1'(3'(3'(3'(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
   1'(z) -{ 1 }-> 1'(2'(2'(2'(1'(2'(2'(1'(0'(2'(3'(2'(0'(2'(3'(0'(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'(2'(2'(2'(1'(1'(3'(0'(3'(3'(0'(1'(0'(1'(1'(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
   1'(z) -{ 1 }-> 1'(2'(1'(2'(2'(0'(2'(1'(1'(1'(2'(1'(3'(3'(2'(3'(3'(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'(1'(0'(3'(1'(2'(0'(3'(0'(0'(0'(1'(3'(3'(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'(2'(0'(2'(3'(2'(1'(1'(1'(1'(3'(3'(3'(3'(3'(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
   1'(z) -{ 1 }-> 1'(1'(3'(2'(1'(2'(1'(2'(1'(0'(2'(3'(1'(2'(2'(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'(1'(0'(2'(3'(0'(2'(1'(0'(3'(3'(2'(2'(2'(3'(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'(1'(0'(2'(0'(3'(3'(3'(1'(2'(2'(3'(3'(0'(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'(0'(1'(2'(2'(1'(0'(1'(1'(0'(3'(0'(3'(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
   1'(z) -{ 1 }-> 1'(1'(0'(0'(1'(2'(1'(2'(3'(0'(1'(2'(3'(3'(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'(1'(0'(0'(0'(1'(3'(3'(1'(2'(3'(1'(3'(2'(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 }-> 1'(0'(1'(3'(0'(1'(0'(3'(1'(1'(1'(1'(2'(3'(3'(1'(2'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(2'(0'(3'(2'(1'(1'(1'(0'(3'(2'(0'(3'(0'(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'(3'(2'(2'(3'(1'(1'(2'(3'(2'(2'(1'(3'(3'(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
   2'(z) -{ 1 }-> 2'(3'(1'(3'(3'(1'(2'(1'(1'(0'(2'(2'(0'(3'(3'(3'(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'(3'(1'(3'(0'(2'(0'(0'(1'(3'(3'(2'(3'(2'(3'(3'(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'(0'(3'(1'(0'(3'(2'(3'(3'(2'(1'(0'(1'(2'(0'(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'(3'(0'(0'(0'(1'(2'(1'(3'(0'(1'(0'(0'(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
   2'(z) -{ 1 }-> 2'(2'(3'(2'(3'(0'(1'(3'(0'(3'(0'(1'(3'(3'(2'(1'(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'(3'(3'(3'(1'(3'(3'(2'(2'(3'(1'(0'(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'(2'(1'(3'(3'(2'(2'(2'(0'(2'(1'(0'(3'(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
   2'(z) -{ 1 }-> 2'(1'(3'(3'(1'(2'(1'(0'(2'(1'(2'(0'(3'(2'(1'(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
   2'(z) -{ 1 }-> 2'(1'(2'(3'(3'(0'(1'(0'(2'(0'(0'(2'(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
   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(2'(0'(3'(3'(3'(0'(2'(2'(0'(1'(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
   2'(z) -{ 1 }-> 2'(0'(1'(3'(2'(0'(0'(1'(2'(1'(3'(2'(3'(2'(0'(1'(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'(0'(1'(2'(1'(0'(3'(3'(2'(0'(3'(3'(3'(0'(2'(1'(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 }-> 1'(3'(0'(1'(0'(2'(3'(3'(2'(1'(0'(0'(2'(2'(1'(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
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(3'(2'(3'(0'(1'(0'(2'(2'(3'(3'(1'(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
   3'(z) -{ 1 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(1'(3'(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
   3'(z) -{ 1 }-> 3'(3'(0'(3'(3'(3'(3'(0'(0'(1'(0'(2'(3'(0'(0'(0'(2'(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'(2'(3'(2'(0'(0'(0'(2'(3'(3'(0'(1'(1'(3'(1'(0'(1'(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'(3'(1'(1'(3'(0'(2'(3'(3'(3'(3'(0'(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
   3'(z) -{ 1 }-> 3'(2'(2'(0'(0'(0'(1'(3'(3'(3'(2'(0'(2'(0'(1'(1'(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'(1'(1'(1'(1'(0'(0'(2'(3'(3'(2'(1'(0'(0'(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
   3'(z) -{ 1 }-> 3'(2'(0'(1'(2'(1'(1'(1'(3'(2'(2'(2'(3'(3'(3'(3'(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'(3'(3'(2'(3'(0'(0'(3'(0'(1'(1'(0'(1'(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
   3'(z) -{ 1 }-> 3'(1'(3'(2'(2'(1'(2'(2'(3'(3'(3'(2'(3'(3'(0'(1'(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'(1'(2'(3'(2'(3'(2'(0'(1'(3'(3'(1'(3'(3'(2'(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
   3'(z) -{ 1 }-> 3'(1'(1'(2'(3'(2'(1'(3'(0'(2'(1'(3'(3'(0'(1'(0'(1'(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'(0'(1'(3'(2'(0'(3'(2'(2'(2'(3'(2'(1'(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
   3'(z) -{ 1 }-> 3'(0'(2'(0'(0'(2'(1'(3'(3'(3'(1'(3'(0'(0'(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
   3'(z) -{ 1 }-> 3'(0'(1'(1'(3'(1'(0'(1'(1'(2'(3'(0'(3'(3'(3'(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
   3'(z) -{ 1 }-> 3'(0'(1'(0'(2'(3'(2'(3'(2'(0'(3'(3'(1'(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
   3'(z) -{ 1 }-> 2'(1'(1'(3'(3'(2'(1'(3'(0'(0'(2'(3'(1'(0'(0'(3'(2'(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 }-> 0'(3'(3'(3'(3'(3'(3'(0'(1'(0'(1'(1'(1'(3'(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
   3'(z) -{ 1 }-> 0'(3'(0'(2'(1'(1'(0'(2'(2'(2'(2'(1'(3'(3'(1'(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
   3'(z) -{ 1 }-> 0'(2'(3'(1'(3'(3'(2'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(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 }-> 0'(2'(2'(3'(3'(3'(3'(2'(2'(1'(0'(2'(1'(2'(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
   3'(z) -{ 1 }-> 0'(2'(2'(3'(2'(0'(2'(0'(3'(2'(1'(0'(1'(3'(3'(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
   3'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(3'(3'(0'(1'(1'(0'(0'(1'(3'(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
   3'(z) -{ 1 }-> 0'(1'(1'(0'(2'(3'(3'(3'(0'(1'(1'(1'(1'(0'(3'(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
   3'(z) -{ 1 }-> 0'(0'(2'(1'(0'(1'(3'(3'(3'(3'(0'(2'(1'(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
   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_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(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_3(z0) -> c5(3'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c8
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c28(0'(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0)))))))))))))))))), 1'(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))), 3'(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0)))))))))))))))), 3'(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))), 2'(3(3(0(0(1(0(0(0(3(3(3(2(2(z0)))))))))))))), 3'(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))), 3'(0(0(1(0(0(0(3(3(3(2(2(z0)))))))))))), 0'(0(1(0(0(0(3(3(3(2(2(z0))))))))))), 0'(1(0(0(0(3(3(3(2(2(z0)))))))))), 1'(0(0(0(3(3(3(2(2(z0))))))))), 0'(0(0(3(3(3(2(2(z0)))))))), 0'(0(3(3(3(2(2(z0))))))), 0'(3(3(3(2(2(z0)))))), 3'(3(3(2(2(z0))))), 3'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c29(3'(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0)))))))))))))))))), 3'(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))), 0'(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0)))))))))))))))), 0'(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))), 3'(2(3(0(0(1(2(2(3(2(1(0(1(0(z0)))))))))))))), 2'(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))), 3'(0(0(1(2(2(3(2(1(0(1(0(z0)))))))))))), 0'(0(1(2(2(3(2(1(0(1(0(z0))))))))))), 0'(1(2(2(3(2(1(0(1(0(z0)))))))))), 1'(2(2(3(2(1(0(1(0(z0))))))))), 2'(2(3(2(1(0(1(0(z0)))))))), 2'(3(2(1(0(1(0(z0))))))), 3'(2(1(0(1(0(z0)))))), 2'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(z0) -> c30
   1'(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> c31(1'(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0)))))))))))))))))), 2'(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))), 0'(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0)))))))))))))))), 2'(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))), 3'(2(1(1(1(1(3(3(3(3(3(2(3(0(z0)))))))))))))), 2'(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))), 1'(1(1(1(3(3(3(3(3(2(3(0(z0)))))))))))), 1'(1(1(3(3(3(3(3(2(3(0(z0))))))))))), 1'(1(3(3(3(3(3(2(3(0(z0)))))))))), 1'(3(3(3(3(3(2(3(0(z0))))))))), 3'(3(3(3(3(2(3(0(z0)))))))), 3'(3(3(3(2(3(0(z0))))))), 3'(3(3(2(3(0(z0)))))), 3'(3(2(3(0(z0))))), 3'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   1'(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c32(1'(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0)))))))))))))))))), 1'(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))), 0'(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0)))))))))))))))), 2'(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))), 3'(0(2(1(0(3(3(2(2(2(3(3(3(0(z0)))))))))))))), 0'(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))), 2'(1(0(3(3(2(2(2(3(3(3(0(z0)))))))))))), 1'(0(3(3(2(2(2(3(3(3(0(z0))))))))))), 0'(3(3(2(2(2(3(3(3(0(z0)))))))))), 3'(3(2(2(2(3(3(3(0(z0))))))))), 3'(2(2(2(3(3(3(0(z0)))))))), 2'(2(2(3(3(3(0(z0))))))), 2'(2(3(3(3(0(z0)))))), 2'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   1'(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c33(1'(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0)))))))))))))))))), 1'(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))), 0'(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0)))))))))))))))), 1'(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))), 2'(2(1(0(1(1(0(3(0(3(2(1(0(1(z0)))))))))))))), 2'(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))), 1'(0(1(1(0(3(0(3(2(1(0(1(z0)))))))))))), 0'(1(1(0(3(0(3(2(1(0(1(z0))))))))))), 1'(1(0(3(0(3(2(1(0(1(z0)))))))))), 1'(0(3(0(3(2(1(0(1(z0))))))))), 0'(3(0(3(2(1(0(1(z0)))))))), 3'(0(3(2(1(0(1(z0))))))), 0'(3(2(1(0(1(z0)))))), 3'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> c34(1'(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0)))))))))))))))))), 1'(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))), 0'(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0)))))))))))))))), 0'(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))), 1'(2(1(2(3(0(1(2(3(3(2(3(3(0(z0)))))))))))))), 2'(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))), 1'(2(3(0(1(2(3(3(2(3(3(0(z0)))))))))))), 2'(3(0(1(2(3(3(2(3(3(0(z0))))))))))), 3'(0(1(2(3(3(2(3(3(0(z0)))))))))), 0'(1(2(3(3(2(3(3(0(z0))))))))), 1'(2(3(3(2(3(3(0(z0)))))))), 2'(3(3(2(3(3(0(z0))))))), 3'(3(2(3(3(0(z0)))))), 3'(2(3(3(0(z0))))), 2'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   1'(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c35(2'(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0)))))))))))))))))), 1'(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))), 3'(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0)))))))))))))))), 1'(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))), 2'(3(3(0(1(3(3(2(1(2(1(3(1(0(z0)))))))))))))), 3'(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))), 3'(0(1(3(3(2(1(2(1(3(1(0(z0)))))))))))), 0'(1(3(3(2(1(2(1(3(1(0(z0))))))))))), 1'(3(3(2(1(2(1(3(1(0(z0)))))))))), 3'(3(2(1(2(1(3(1(0(z0))))))))), 3'(2(1(2(1(3(1(0(z0)))))))), 2'(1(2(1(3(1(0(z0))))))), 1'(2(1(3(1(0(z0)))))), 2'(1(3(1(0(z0))))), 1'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c36(1'(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0)))))))))))))))))), 2'(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))), 1'(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0)))))))))))))))), 0'(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))), 3'(1(2(0(3(0(0(0(1(3(3(0(1(2(z0)))))))))))))), 1'(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))), 2'(0(3(0(0(0(1(3(3(0(1(2(z0)))))))))))), 0'(3(0(0(0(1(3(3(0(1(2(z0))))))))))), 3'(0(0(0(1(3(3(0(1(2(z0)))))))))), 0'(0(0(1(3(3(0(1(2(z0))))))))), 0'(0(1(3(3(0(1(2(z0)))))))), 0'(1(3(3(0(1(2(z0))))))), 1'(3(3(0(1(2(z0)))))), 3'(3(0(1(2(z0))))), 3'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c37(1'(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0)))))))))))))))))), 3'(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))), 3'(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0)))))))))))))))), 3'(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))), 3'(0(0(1(0(1(3(1(3(0(0(3(2(1(z0)))))))))))))), 0'(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))), 0'(1(0(1(3(1(3(0(0(3(2(1(z0)))))))))))), 1'(0(1(3(1(3(0(0(3(2(1(z0))))))))))), 0'(1(3(1(3(0(0(3(2(1(z0)))))))))), 1'(3(1(3(0(0(3(2(1(z0))))))))), 3'(1(3(0(0(3(2(1(z0)))))))), 1'(3(0(0(3(2(1(z0))))))), 3'(0(0(3(2(1(z0)))))), 0'(0(3(2(1(z0))))), 0'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> c38(3'(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0)))))))))))))))))), 3'(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))), 2'(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0)))))))))))))))), 1'(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))), 1'(3(3(1(1(2(1(1(0(1(1(2(1(1(z0)))))))))))))), 3'(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))), 3'(1(1(2(1(1(0(1(1(2(1(1(z0)))))))))))), 1'(1(2(1(1(0(1(1(2(1(1(z0))))))))))), 1'(2(1(1(0(1(1(2(1(1(z0)))))))))), 2'(1(1(0(1(1(2(1(1(z0))))))))), 1'(1(0(1(1(2(1(1(z0)))))))), 1'(0(1(1(2(1(1(z0))))))), 0'(1(1(2(1(1(z0)))))), 1'(1(2(1(1(z0))))), 1'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> c39(1'(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0)))))))))))))))))), 2'(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))), 2'(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0)))))))))))))))), 2'(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))), 1'(1(3(0(3(3(0(1(0(1(1(2(2(1(z0)))))))))))))), 1'(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))), 3'(0(3(3(0(1(0(1(1(2(2(1(z0)))))))))))), 0'(3(3(0(1(0(1(1(2(2(1(z0))))))))))), 3'(3(0(1(0(1(1(2(2(1(z0)))))))))), 3'(0(1(0(1(1(2(2(1(z0))))))))), 0'(1(0(1(1(2(2(1(z0)))))))), 1'(0(1(1(2(2(1(z0))))))), 0'(1(1(2(2(1(z0)))))), 1'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c40(2'(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0)))))))))))))))))), 2'(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))), 0'(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0)))))))))))))))), 0'(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))), 0'(1(3(2(1(1(1(0(1(2(2(1(0(2(z0)))))))))))))), 1'(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))), 3'(2(1(1(1(0(1(2(2(1(0(2(z0)))))))))))), 2'(1(1(1(0(1(2(2(1(0(2(z0))))))))))), 1'(1(1(0(1(2(2(1(0(2(z0)))))))))), 1'(1(0(1(2(2(1(0(2(z0))))))))), 1'(0(1(2(2(1(0(2(z0)))))))), 0'(1(2(2(1(0(2(z0))))))), 1'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   1'(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> c41(1'(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0)))))))))))))))))), 1'(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))), 3'(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0)))))))))))))))), 2'(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))), 1'(2(1(2(1(0(2(3(1(2(2(1(1(3(z0)))))))))))))), 2'(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))), 1'(2(1(0(2(3(1(2(2(1(1(3(z0)))))))))))), 2'(1(0(2(3(1(2(2(1(1(3(z0))))))))))), 1'(0(2(3(1(2(2(1(1(3(z0)))))))))), 0'(2(3(1(2(2(1(1(3(z0))))))))), 2'(3(1(2(2(1(1(3(z0)))))))), 3'(1(2(2(1(1(3(z0))))))), 1'(2(2(1(1(3(z0)))))), 2'(2(1(1(3(z0))))), 2'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> c42(1'(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0)))))))))))))))))), 2'(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))), 1'(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0)))))))))))))))), 2'(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))), 2'(0(2(1(1(1(2(1(3(3(2(3(3(3(z0)))))))))))))), 0'(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))), 2'(1(1(1(2(1(3(3(2(3(3(3(z0)))))))))))), 1'(1(1(2(1(3(3(2(3(3(3(z0))))))))))), 1'(1(2(1(3(3(2(3(3(3(z0)))))))))), 1'(2(1(3(3(2(3(3(3(z0))))))))), 2'(1(3(3(2(3(3(3(z0)))))))), 1'(3(3(2(3(3(3(z0))))))), 3'(3(2(3(3(3(z0)))))), 3'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> c43(1'(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))), 1'(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0)))))))))))))))), 3'(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))), 0'(1(0(3(1(1(1(1(2(3(3(1(2(1(z0)))))))))))))), 1'(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))), 0'(3(1(1(1(1(2(3(3(1(2(1(z0)))))))))))), 3'(1(1(1(1(2(3(3(1(2(1(z0))))))))))), 1'(1(1(1(2(3(3(1(2(1(z0)))))))))), 1'(1(1(2(3(3(1(2(1(z0))))))))), 1'(1(2(3(3(1(2(1(z0)))))))), 1'(2(3(3(1(2(1(z0))))))), 2'(3(3(1(2(1(z0)))))), 3'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> c44(2'(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0)))))))))))))))))), 1'(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))), 3'(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0)))))))))))))))), 1'(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))), 0'(1(1(1(0(1(2(3(0(2(3(3(2(1(z0)))))))))))))), 1'(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))), 1'(1(0(1(2(3(0(2(3(3(2(1(z0)))))))))))), 1'(0(1(2(3(0(2(3(3(2(1(z0))))))))))), 0'(1(2(3(0(2(3(3(2(1(z0)))))))))), 1'(2(3(0(2(3(3(2(1(z0))))))))), 2'(3(0(2(3(3(2(1(z0)))))))), 3'(0(2(3(3(2(1(z0))))))), 0'(2(3(3(2(1(z0)))))), 2'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c45(1'(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0)))))))))))))))))), 1'(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))), 0'(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0)))))))))))))))), 0'(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))), 0'(1(3(3(1(2(3(1(3(2(2(2(2(0(z0)))))))))))))), 1'(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))), 3'(3(1(2(3(1(3(2(2(2(2(0(z0)))))))))))), 3'(1(2(3(1(3(2(2(2(2(0(z0))))))))))), 1'(2(3(1(3(2(2(2(2(0(z0)))))))))), 2'(3(1(3(2(2(2(2(0(z0))))))))), 3'(1(3(2(2(2(2(0(z0)))))))), 1'(3(2(2(2(2(0(z0))))))), 3'(2(2(2(2(0(z0)))))), 2'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> c46(1'(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0)))))))))))))))))), 3'(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))), 3'(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0)))))))))))))))), 0'(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))), 1'(2(0(3(0(1(2(1(3(3(3(2(3(2(z0)))))))))))))), 2'(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))), 0'(3(0(1(2(1(3(3(3(2(3(2(z0)))))))))))), 3'(0(1(2(1(3(3(3(2(3(2(z0))))))))))), 0'(1(2(1(3(3(3(2(3(2(z0)))))))))), 1'(2(1(3(3(3(2(3(2(z0))))))))), 2'(1(3(3(3(2(3(2(z0)))))))), 1'(3(3(3(2(3(2(z0))))))), 3'(3(3(2(3(2(z0)))))), 3'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   1'(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> c47(1'(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0)))))))))))))))))), 2'(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))), 2'(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0)))))))))))))))), 2'(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))), 1'(2(2(1(0(2(3(2(0(2(3(0(0(3(z0)))))))))))))), 2'(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))), 2'(1(0(2(3(2(0(2(3(0(0(3(z0)))))))))))), 1'(0(2(3(2(0(2(3(0(0(3(z0))))))))))), 0'(2(3(2(0(2(3(0(0(3(z0)))))))))), 2'(3(2(0(2(3(0(0(3(z0))))))))), 3'(2(0(2(3(0(0(3(z0)))))))), 2'(0(2(3(0(0(3(z0))))))), 0'(2(3(0(0(3(z0)))))), 2'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c48(2'(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))))))))), 2'(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))), 1'(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))))))), 0'(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))), 1'(0(2(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))))), 0'(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))), 2'(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))), 1'(0(2(1(0(3(1(0(1(1(0(z0))))))))))), 0'(2(1(0(3(1(0(1(1(0(z0)))))))))), 2'(1(0(3(1(0(1(1(0(z0))))))))), 1'(0(3(1(0(1(1(0(z0)))))))), 0'(3(1(0(1(1(0(z0))))))), 3'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c49(1'(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0)))))))))))))))))), 1'(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))), 0'(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0)))))))))))))))), 2'(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))), 0'(3(3(3(1(2(2(3(3(0(2(2(3(1(z0)))))))))))))), 3'(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))), 3'(3(1(2(2(3(3(0(2(2(3(1(z0)))))))))))), 3'(1(2(2(3(3(0(2(2(3(1(z0))))))))))), 1'(2(2(3(3(0(2(2(3(1(z0)))))))))), 2'(2(3(3(0(2(2(3(1(z0))))))))), 2'(3(3(0(2(2(3(1(z0)))))))), 3'(3(0(2(2(3(1(z0))))))), 3'(0(2(2(3(1(z0)))))), 0'(2(2(3(1(z0))))), 2'(2(3(1(z0)))), 2'(3(1(z0))), 3'(1(z0)), 1'(z0))
   2'(z0) -> c50
   2'(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c51(2'(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0)))))))))))))))))), 1'(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))), 2'(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0)))))))))))))))), 3'(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))), 3'(0(1(0(2(0(0(2(0(3(2(2(1(1(z0)))))))))))))), 0'(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))), 1'(0(2(0(0(2(0(3(2(2(1(1(z0)))))))))))), 0'(2(0(0(2(0(3(2(2(1(1(z0))))))))))), 2'(0(0(2(0(3(2(2(1(1(z0)))))))))), 0'(0(2(0(3(2(2(1(1(z0))))))))), 0'(2(0(3(2(2(1(1(z0)))))))), 2'(0(3(2(2(1(1(z0))))))), 0'(3(2(2(1(1(z0)))))), 3'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> c52(2'(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0)))))))))))))))))), 3'(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))), 2'(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0)))))))))))))))), 2'(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))), 3'(1(1(2(3(2(2(1(3(3(3(1(0(2(z0)))))))))))))), 1'(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))), 1'(2(3(2(2(1(3(3(3(1(0(2(z0)))))))))))), 2'(3(2(2(1(3(3(3(1(0(2(z0))))))))))), 3'(2(2(1(3(3(3(1(0(2(z0)))))))))), 2'(2(1(3(3(3(1(0(2(z0))))))))), 2'(1(3(3(3(1(0(2(z0)))))))), 1'(3(3(3(1(0(2(z0))))))), 3'(3(3(1(0(2(z0)))))), 3'(3(1(0(2(z0))))), 3'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c53(2'(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0)))))))))))))))))), 2'(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))), 1'(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0)))))))))))))))), 3'(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))), 3'(3(1(3(3(2(2(3(1(0(2(0(1(3(z0)))))))))))))), 3'(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))), 1'(3(3(2(2(3(1(0(2(0(1(3(z0)))))))))))), 3'(3(2(2(3(1(0(2(0(1(3(z0))))))))))), 3'(2(2(3(1(0(2(0(1(3(z0)))))))))), 2'(2(3(1(0(2(0(1(3(z0))))))))), 2'(3(1(0(2(0(1(3(z0)))))))), 3'(1(0(2(0(1(3(z0))))))), 1'(0(2(0(1(3(z0)))))), 0'(2(0(1(3(z0))))), 2'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   2'(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c54(2'(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0)))))))))))))))))), 1'(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))), 3'(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0)))))))))))))))), 3'(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))), 1'(2(1(0(2(1(2(0(3(2(1(0(1(2(z0)))))))))))))), 2'(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))), 1'(0(2(1(2(0(3(2(1(0(1(2(z0)))))))))))), 0'(2(1(2(0(3(2(1(0(1(2(z0))))))))))), 2'(1(2(0(3(2(1(0(1(2(z0)))))))))), 1'(2(0(3(2(1(0(1(2(z0))))))))), 2'(0(3(2(1(0(1(2(z0)))))))), 0'(3(2(1(0(1(2(z0))))))), 3'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> c55(2'(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0)))))))))))))))))), 0'(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))), 1'(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0)))))))))))))))), 2'(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))), 1'(0(3(3(2(0(3(3(3(0(2(1(0(0(z0)))))))))))))), 0'(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))), 3'(3(2(0(3(3(3(0(2(1(0(0(z0)))))))))))), 3'(2(0(3(3(3(0(2(1(0(0(z0))))))))))), 2'(0(3(3(3(0(2(1(0(0(z0)))))))))), 0'(3(3(3(0(2(1(0(0(z0))))))))), 3'(3(3(0(2(1(0(0(z0)))))))), 3'(3(0(2(1(0(0(z0))))))), 3'(0(2(1(0(0(z0)))))), 0'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> c56(2'(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0)))))))))))))))))), 3'(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))), 0'(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0)))))))))))))))), 3'(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))), 1'(0(3(2(3(3(2(1(0(1(2(0(1(0(z0)))))))))))))), 0'(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))), 3'(2(3(3(2(1(0(1(2(0(1(0(z0)))))))))))), 2'(3(3(2(1(0(1(2(0(1(0(z0))))))))))), 3'(3(2(1(0(1(2(0(1(0(z0)))))))))), 3'(2(1(0(1(2(0(1(0(z0))))))))), 2'(1(0(1(2(0(1(0(z0)))))))), 1'(0(1(2(0(1(0(z0))))))), 0'(1(2(0(1(0(z0)))))), 1'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> c57(2'(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0)))))))))))))))))), 3'(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))), 1'(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0)))))))))))))))), 3'(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))), 0'(2(0(0(1(3(3(2(3(2(3(3(2(2(z0)))))))))))))), 2'(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))), 0'(0(1(3(3(2(3(2(3(3(2(2(z0)))))))))))), 0'(1(3(3(2(3(2(3(3(2(2(z0))))))))))), 1'(3(3(2(3(2(3(3(2(2(z0)))))))))), 3'(3(2(3(2(3(3(2(2(z0))))))))), 3'(2(3(2(3(3(2(2(z0)))))))), 2'(3(2(3(3(2(2(z0))))))), 3'(2(3(3(2(2(z0)))))), 2'(3(3(2(2(z0))))), 3'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c58(2'(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0)))))))))))))))))), 2'(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))), 1'(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0)))))))))))))))), 3'(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))), 3'(2(2(2(0(2(1(0(3(2(1(1(1(1(z0)))))))))))))), 2'(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))), 2'(2(0(2(1(0(3(2(1(1(1(1(z0)))))))))))), 2'(0(2(1(0(3(2(1(1(1(1(z0))))))))))), 0'(2(1(0(3(2(1(1(1(1(z0)))))))))), 2'(1(0(3(2(1(1(1(1(z0))))))))), 1'(0(3(2(1(1(1(1(z0)))))))), 0'(3(2(1(1(1(1(z0))))))), 3'(2(1(1(1(1(z0)))))), 2'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> c59(2'(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0)))))))))))))))))), 2'(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))), 3'(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0)))))))))))))))), 3'(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))), 0'(0(0(1(2(1(3(0(1(0(0(2(0(1(z0)))))))))))))), 0'(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))), 0'(1(2(1(3(0(1(0(0(2(0(1(z0)))))))))))), 1'(2(1(3(0(1(0(0(2(0(1(z0))))))))))), 2'(1(3(0(1(0(0(2(0(1(z0)))))))))), 1'(3(0(1(0(0(2(0(1(z0))))))))), 3'(0(1(0(0(2(0(1(z0)))))))), 0'(1(0(0(2(0(1(z0))))))), 1'(0(0(2(0(1(z0)))))), 0'(0(2(0(1(z0))))), 0'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c60(2'(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0)))))))))))))))))), 2'(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))), 3'(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0)))))))))))))))), 2'(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))), 3'(0(1(3(0(3(0(1(3(3(2(1(0(0(z0)))))))))))))), 0'(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))), 1'(3(0(3(0(1(3(3(2(1(0(0(z0)))))))))))), 3'(0(3(0(1(3(3(2(1(0(0(z0))))))))))), 0'(3(0(1(3(3(2(1(0(0(z0)))))))))), 3'(0(1(3(3(2(1(0(0(z0))))))))), 0'(1(3(3(2(1(0(0(z0)))))))), 1'(3(3(2(1(0(0(z0))))))), 3'(3(2(1(0(0(z0)))))), 3'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c61(2'(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0)))))))))))))))))), 0'(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))), 1'(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0)))))))))))))))), 3'(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))), 2'(0(0(1(2(1(3(2(3(2(0(1(0(0(z0)))))))))))))), 0'(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))), 0'(1(2(1(3(2(3(2(0(1(0(0(z0)))))))))))), 1'(2(1(3(2(3(2(0(1(0(0(z0))))))))))), 2'(1(3(2(3(2(0(1(0(0(z0)))))))))), 1'(3(2(3(2(0(1(0(0(z0))))))))), 3'(2(3(2(0(1(0(0(z0)))))))), 2'(3(2(0(1(0(0(z0))))))), 3'(2(0(1(0(0(z0)))))), 2'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c62(2'(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0)))))))))))))))))), 3'(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))), 1'(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0)))))))))))))))), 3'(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))), 3'(1(2(1(1(0(2(2(0(3(3(3(3(3(z0)))))))))))))), 1'(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))), 2'(1(1(0(2(2(0(3(3(3(3(3(z0)))))))))))), 1'(1(0(2(2(0(3(3(3(3(3(z0))))))))))), 1'(0(2(2(0(3(3(3(3(3(z0)))))))))), 0'(2(2(0(3(3(3(3(3(z0))))))))), 2'(2(0(3(3(3(3(3(z0)))))))), 2'(0(3(3(3(3(3(z0))))))), 0'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> c63(2'(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0)))))))))))))))))), 1'(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))), 0'(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0)))))))))))))))), 1'(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))), 2'(2(0(3(3(3(0(2(2(0(1(0(1(2(z0)))))))))))))), 2'(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))), 0'(3(3(3(0(2(2(0(1(0(1(2(z0)))))))))))), 3'(3(3(0(2(2(0(1(0(1(2(z0))))))))))), 3'(3(0(2(2(0(1(0(1(2(z0)))))))))), 3'(0(2(2(0(1(0(1(2(z0))))))))), 0'(2(2(0(1(0(1(2(z0)))))))), 2'(2(0(1(0(1(2(z0))))))), 2'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c64(1'(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0)))))))))))))))))), 3'(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))), 0'(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0)))))))))))))))), 1'(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))), 0'(2(3(3(2(1(0(0(2(2(1(3(1(0(z0)))))))))))))), 2'(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))), 3'(3(2(1(0(0(2(2(1(3(1(0(z0)))))))))))), 3'(2(1(0(0(2(2(1(3(1(0(z0))))))))))), 2'(1(0(0(2(2(1(3(1(0(z0)))))))))), 1'(0(0(2(2(1(3(1(0(z0))))))))), 0'(0(2(2(1(3(1(0(z0)))))))), 0'(2(2(1(3(1(0(z0))))))), 2'(2(1(3(1(0(z0)))))), 2'(1(3(1(0(z0))))), 1'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> c65(2'(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0)))))))))))))))))), 3'(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))), 3'(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0)))))))))))))))), 2'(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))), 0'(3(2(1(1(1(0(3(2(0(3(0(2(3(z0)))))))))))))), 3'(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))), 2'(1(1(1(0(3(2(0(3(0(2(3(z0)))))))))))), 1'(1(1(0(3(2(0(3(0(2(3(z0))))))))))), 1'(1(0(3(2(0(3(0(2(3(z0)))))))))), 1'(0(3(2(0(3(0(2(3(z0))))))))), 0'(3(2(0(3(0(2(3(z0)))))))), 3'(2(0(3(0(2(3(z0))))))), 2'(0(3(0(2(3(z0)))))), 0'(3(0(2(3(z0))))), 3'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(z0) -> c66
   3'(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c67(0'(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0)))))))))))))))))), 2'(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))), 2'(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0)))))))))))))))), 3'(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))), 2'(0(2(0(3(2(1(0(1(3(3(2(1(2(z0)))))))))))))), 0'(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))), 2'(0(3(2(1(0(1(3(3(2(1(2(z0)))))))))))), 0'(3(2(1(0(1(3(3(2(1(2(z0))))))))))), 3'(2(1(0(1(3(3(2(1(2(z0)))))))))), 2'(1(0(1(3(3(2(1(2(z0))))))))), 1'(0(1(3(3(2(1(2(z0)))))))), 0'(1(3(3(2(1(2(z0))))))), 1'(3(3(2(1(2(z0)))))), 3'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c83(3'(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))))), 0'(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))), 2'(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))), 0'(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))), 0'(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))), 2'(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))), 1'(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))), 3'(3(3(1(3(0(0(2(2(2(0(z0))))))))))), 3'(3(1(3(0(0(2(2(2(0(z0)))))))))), 3'(1(3(0(0(2(2(2(0(z0))))))))), 1'(3(0(0(2(2(2(0(z0)))))))), 3'(0(0(2(2(2(0(z0))))))), 0'(0(2(2(2(0(z0)))))), 0'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))))), 1'(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))), 3'(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))), 3'(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))), 2'(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))), 3'(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))), 0'(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))), 0'(3(0(1(1(0(1(3(2(2(2(z0))))))))))), 3'(0(1(1(0(1(3(2(2(2(z0)))))))))), 0'(1(1(0(1(3(2(2(2(z0))))))))), 1'(1(0(1(3(2(2(2(z0)))))))), 1'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
S tuples:
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   1'(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c48(2'(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))))))))), 2'(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))), 1'(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))))))), 0'(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))), 1'(0(2(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))))), 0'(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))), 2'(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))), 1'(0(2(1(0(3(1(0(1(1(0(z0))))))))))), 0'(2(1(0(3(1(0(1(1(0(z0)))))))))), 2'(1(0(3(1(0(1(1(0(z0))))))))), 1'(0(3(1(0(1(1(0(z0)))))))), 0'(3(1(0(1(1(0(z0))))))), 3'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   3'(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c79(2'(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))))))))), 1'(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))), 1'(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))))))), 3'(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))), 3'(2(1(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))))), 2'(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))), 1'(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))), 3'(0(0(2(3(1(0(0(3(2(1(z0))))))))))), 0'(0(2(3(1(0(0(3(2(1(z0)))))))))), 0'(2(3(1(0(0(3(2(1(z0))))))))), 2'(3(1(0(0(3(2(1(z0)))))))), 3'(1(0(0(3(2(1(z0))))))), 1'(0(0(3(2(1(z0)))))), 0'(0(3(2(1(z0))))), 0'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c80(3'(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))))))), 3'(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))), 0'(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))))), 3'(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))), 3'(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))), 3'(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))), 3'(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))), 0'(0(1(0(2(3(0(0(0(2(3(z0))))))))))), 0'(1(0(2(3(0(0(0(2(3(z0)))))))))), 1'(0(2(3(0(0(0(2(3(z0))))))))), 0'(2(3(0(0(0(2(3(z0)))))))), 2'(3(0(0(0(2(3(z0))))))), 3'(0(0(0(2(3(z0)))))), 0'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c81(0'(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))))), 3'(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))), 3'(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))), 3'(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))), 3'(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))), 3'(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))), 3'(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))), 0'(1(0(1(1(1(3(1(1(0(1(z0))))))))))), 1'(0(1(1(1(3(1(1(0(1(z0)))))))))), 0'(1(1(1(3(1(1(0(1(z0))))))))), 1'(1(1(3(1(1(0(1(z0)))))))), 1'(1(3(1(1(0(1(z0))))))), 1'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> c82(0'(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))))), 1'(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))), 1'(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))), 0'(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))), 2'(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))), 3'(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))), 3'(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))), 3'(0(1(1(1(1(0(3(3(1(0(z0))))))))))), 0'(1(1(1(1(0(3(3(1(0(z0)))))))))), 1'(1(1(1(0(3(3(1(0(z0))))))))), 1'(1(1(0(3(3(1(0(z0)))))))), 1'(1(0(3(3(1(0(z0))))))), 1'(0(3(3(1(0(z0)))))), 0'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c83(3'(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))))), 0'(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))), 2'(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))), 0'(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))), 0'(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))), 2'(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))), 1'(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))), 3'(3(3(1(3(0(0(2(2(2(0(z0))))))))))), 3'(3(1(3(0(0(2(2(2(0(z0)))))))))), 3'(1(3(0(0(2(2(2(0(z0))))))))), 1'(3(0(0(2(2(2(0(z0)))))))), 3'(0(0(2(2(2(0(z0))))))), 0'(0(2(2(2(0(z0)))))), 0'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))))), 1'(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))), 3'(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))), 3'(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))), 2'(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))), 3'(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))), 0'(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))), 0'(3(0(1(1(0(1(3(2(2(2(z0))))))))))), 3'(0(1(1(0(1(3(2(2(2(z0)))))))))), 0'(1(1(0(1(3(2(2(2(z0))))))))), 1'(1(0(1(3(2(2(2(z0)))))))), 1'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 2_1, 0_1, 3_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_3_1, ENCODE_1_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_18, c29_18, c30, 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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   0'(z0) -> c8
   2'(z0) -> c50
   3'(z0) -> c66
   1'(z0) -> c30

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

(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_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(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_3(z0) -> c5(3'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))), 3'(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))), 2'(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))), 0'(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))), 1'(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))), 3'(0(0(1(0(2(2(1(0(0(2(z0))))))))))), 0'(0(1(0(2(2(1(0(0(2(z0)))))))))), 0'(1(0(2(2(1(0(0(2(z0))))))))), 1'(0(2(2(1(0(0(2(z0)))))))), 0'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
S tuples:
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))))), 1'(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))), 3'(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))), 3'(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))), 2'(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))), 3'(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))), 0'(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))), 0'(3(0(1(1(0(1(3(2(2(2(z0))))))))))), 3'(0(1(1(0(1(3(2(2(2(z0)))))))))), 0'(1(1(0(1(3(2(2(2(z0))))))))), 1'(1(0(1(3(2(2(2(z0)))))))), 1'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 2_1, 0_1, 3_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_3_1, ENCODE_1_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, c28_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(0'(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))))), 1'(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))), 1'(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))), 2'(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))), 2'(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))), 2'(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))), 1'(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))), 0'(3(2(1(3(2(1(0(1(0(1(z0))))))))))), 3'(2(1(3(2(1(0(1(0(1(z0)))))))))), 2'(1(3(2(1(0(1(0(1(z0))))))))), 1'(3(2(1(0(1(0(1(z0)))))))), 3'(2(1(0(1(0(1(z0))))))), 2'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))), 3'(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))), 2'(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))), 0'(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))), 1'(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))), 3'(0(0(1(0(2(2(1(0(0(2(z0))))))))))), 0'(0(1(0(2(2(1(0(0(2(z0)))))))))), 0'(1(0(2(2(1(0(0(2(z0))))))))), 1'(0(2(2(1(0(0(2(z0)))))))), 0'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   0'(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0)))))))))))))))))), 1'(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))), 1'(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0)))))))))))))))), 1'(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))), 1'(0(2(1(3(1(0(2(1(3(0(3(3(0(z0)))))))))))))), 0'(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))), 2'(1(3(1(0(2(1(3(0(3(3(0(z0)))))))))))), 1'(3(1(0(2(1(3(0(3(3(0(z0))))))))))), 3'(1(0(2(1(3(0(3(3(0(z0)))))))))), 1'(0(2(1(3(0(3(3(0(z0))))))))), 0'(2(1(3(0(3(3(0(z0)))))))), 2'(1(3(0(3(3(0(z0))))))), 1'(3(0(3(3(0(z0)))))), 3'(0(3(3(0(z0))))), 0'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   3'(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c79(2'(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))))))))), 1'(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))), 1'(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))))))), 3'(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))), 3'(2(1(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))))), 2'(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))), 1'(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))), 3'(0(0(2(3(1(0(0(3(2(1(z0))))))))))), 0'(0(2(3(1(0(0(3(2(1(z0)))))))))), 0'(2(3(1(0(0(3(2(1(z0))))))))), 2'(3(1(0(0(3(2(1(z0)))))))), 3'(1(0(0(3(2(1(z0))))))), 1'(0(0(3(2(1(z0)))))), 0'(0(3(2(1(z0))))), 0'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c80(3'(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))))))), 3'(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))), 0'(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))))), 3'(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))), 3'(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))), 3'(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))), 3'(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))), 0'(0(1(0(2(3(0(0(0(2(3(z0))))))))))), 0'(1(0(2(3(0(0(0(2(3(z0)))))))))), 1'(0(2(3(0(0(0(2(3(z0))))))))), 0'(2(3(0(0(0(2(3(z0)))))))), 2'(3(0(0(0(2(3(z0))))))), 3'(0(0(0(2(3(z0)))))), 0'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c81(0'(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))))), 3'(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))), 3'(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))), 3'(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))), 3'(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))), 3'(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))), 3'(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))), 0'(1(0(1(1(1(3(1(1(0(1(z0))))))))))), 1'(0(1(1(1(3(1(1(0(1(z0)))))))))), 0'(1(1(1(3(1(1(0(1(z0))))))))), 1'(1(1(3(1(1(0(1(z0)))))))), 1'(1(3(1(1(0(1(z0))))))), 1'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> c82(0'(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))))), 1'(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))), 1'(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))), 0'(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))), 2'(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))), 3'(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))), 3'(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))), 3'(0(1(1(1(1(0(3(3(1(0(z0))))))))))), 0'(1(1(1(1(0(3(3(1(0(z0)))))))))), 1'(1(1(1(0(3(3(1(0(z0))))))))), 1'(1(1(0(3(3(1(0(z0)))))))), 1'(1(0(3(3(1(0(z0))))))), 1'(0(3(3(1(0(z0)))))), 0'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c83(3'(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))))), 0'(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))), 2'(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))), 0'(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))), 0'(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))), 2'(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))), 1'(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))), 3'(3(3(1(3(0(0(2(2(2(0(z0))))))))))), 3'(3(1(3(0(0(2(2(2(0(z0)))))))))), 3'(1(3(0(0(2(2(2(0(z0))))))))), 1'(3(0(0(2(2(2(0(z0)))))))), 3'(0(0(2(2(2(0(z0))))))), 0'(0(2(2(2(0(z0)))))), 0'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))))), 1'(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))), 3'(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))), 3'(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))), 2'(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))), 3'(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))), 0'(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))), 0'(3(0(1(1(0(1(3(2(2(2(z0))))))))))), 3'(0(1(1(0(1(3(2(2(2(z0)))))))))), 0'(1(1(0(1(3(2(2(2(z0))))))))), 1'(1(0(1(3(2(2(2(z0)))))))), 1'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_2(z0) -> c8(ENCARG(z0))
S tuples:
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   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(0'(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))))), 1'(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))), 1'(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))), 2'(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))), 2'(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))), 2'(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))), 1'(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))), 0'(3(2(1(3(2(1(0(1(0(1(z0))))))))))), 3'(2(1(3(2(1(0(1(0(1(z0)))))))))), 2'(1(3(2(1(0(1(0(1(z0))))))))), 1'(3(2(1(0(1(0(1(z0)))))))), 3'(2(1(0(1(0(1(z0))))))), 2'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))), 3'(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))), 2'(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))), 0'(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))), 1'(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))), 3'(0(0(1(0(2(2(1(0(0(2(z0))))))))))), 0'(0(1(0(2(2(1(0(0(2(z0)))))))))), 0'(1(0(2(2(1(0(0(2(z0))))))))), 1'(0(2(2(1(0(0(2(z0)))))))), 0'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c81(0'(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))))), 3'(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))), 3'(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))), 3'(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))), 3'(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))), 3'(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))), 3'(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))), 0'(1(0(1(1(1(3(1(1(0(1(z0))))))))))), 1'(0(1(1(1(3(1(1(0(1(z0)))))))))), 0'(1(1(1(3(1(1(0(1(z0))))))))), 1'(1(1(3(1(1(0(1(z0)))))))), 1'(1(3(1(1(0(1(z0))))))), 1'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> c82(0'(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))))), 1'(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))), 1'(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))), 0'(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))), 2'(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))), 3'(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))), 3'(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))), 3'(0(1(1(1(1(0(3(3(1(0(z0))))))))))), 0'(1(1(1(1(0(3(3(1(0(z0)))))))))), 1'(1(1(1(0(3(3(1(0(z0))))))))), 1'(1(1(0(3(3(1(0(z0)))))))), 1'(1(0(3(3(1(0(z0))))))), 1'(0(3(3(1(0(z0)))))), 0'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
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K tuples:none
Defined Rule Symbols:   1_1, 2_1, 0_1, 3_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_1_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, c28_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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_3(z0) -> c8(ENCARG(z0))
   ENCODE_1(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_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> c82(0'(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))))), 1'(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))), 1'(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))), 0'(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))), 2'(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))), 3'(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))), 3'(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))), 3'(0(1(1(1(1(0(3(3(1(0(z0))))))))))), 0'(1(1(1(1(0(3(3(1(0(z0)))))))))), 1'(1(1(1(0(3(3(1(0(z0))))))))), 1'(1(1(0(3(3(1(0(z0)))))))), 1'(1(0(3(3(1(0(z0))))))), 1'(0(3(3(1(0(z0)))))), 0'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c83(3'(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))))), 0'(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))), 2'(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))), 0'(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))), 0'(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))), 2'(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))), 1'(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))), 3'(3(3(1(3(0(0(2(2(2(0(z0))))))))))), 3'(3(1(3(0(0(2(2(2(0(z0)))))))))), 3'(1(3(0(0(2(2(2(0(z0))))))))), 1'(3(0(0(2(2(2(0(z0)))))))), 3'(0(0(2(2(2(0(z0))))))), 0'(0(2(2(2(0(z0)))))), 0'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))))), 1'(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))), 3'(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))), 3'(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))), 2'(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))), 3'(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))), 0'(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))), 0'(3(0(1(1(0(1(3(2(2(2(z0))))))))))), 3'(0(1(1(0(1(3(2(2(2(z0)))))))))), 0'(1(1(0(1(3(2(2(2(z0))))))))), 1'(1(0(1(3(2(2(2(z0)))))))), 1'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 2_1, 0_1, 3_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_1_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, c28_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(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))
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   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(0'(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))))), 1'(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))), 1'(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))), 2'(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))), 2'(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))), 2'(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))), 1'(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))), 0'(3(2(1(3(2(1(0(1(0(1(z0))))))))))), 3'(2(1(3(2(1(0(1(0(1(z0)))))))))), 2'(1(3(2(1(0(1(0(1(z0))))))))), 1'(3(2(1(0(1(0(1(z0)))))))), 3'(2(1(0(1(0(1(z0))))))), 2'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> c79(2'(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))))))))), 1'(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))), 1'(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))))))), 3'(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))), 3'(2(1(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))))), 2'(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))), 1'(3(0(0(2(3(1(0(0(3(2(1(z0)))))))))))), 3'(0(0(2(3(1(0(0(3(2(1(z0))))))))))), 0'(0(2(3(1(0(0(3(2(1(z0)))))))))), 0'(2(3(1(0(0(3(2(1(z0))))))))), 2'(3(1(0(0(3(2(1(z0)))))))), 3'(1(0(0(3(2(1(z0))))))), 1'(0(0(3(2(1(z0)))))), 0'(0(3(2(1(z0))))), 0'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   3'(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c80(3'(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))))))), 3'(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))), 0'(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))))), 3'(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))), 3'(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))), 3'(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))), 3'(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))), 0'(0(1(0(2(3(0(0(0(2(3(z0))))))))))), 0'(1(0(2(3(0(0(0(2(3(z0)))))))))), 1'(0(2(3(0(0(0(2(3(z0))))))))), 0'(2(3(0(0(0(2(3(z0)))))))), 2'(3(0(0(0(2(3(z0))))))), 3'(0(0(0(2(3(z0)))))), 0'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c81(0'(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))))), 3'(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))), 3'(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))), 3'(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))), 3'(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))), 3'(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))), 3'(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))), 0'(1(0(1(1(1(3(1(1(0(1(z0))))))))))), 1'(0(1(1(1(3(1(1(0(1(z0)))))))))), 0'(1(1(1(3(1(1(0(1(z0))))))))), 1'(1(1(3(1(1(0(1(z0)))))))), 1'(1(3(1(1(0(1(z0))))))), 1'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> c82(0'(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))))), 1'(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))), 1'(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))), 0'(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))), 2'(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))), 3'(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))), 3'(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))), 3'(0(1(1(1(1(0(3(3(1(0(z0))))))))))), 0'(1(1(1(1(0(3(3(1(0(z0)))))))))), 1'(1(1(1(0(3(3(1(0(z0))))))))), 1'(1(1(0(3(3(1(0(z0)))))))), 1'(1(0(3(3(1(0(z0))))))), 1'(0(3(3(1(0(z0)))))), 0'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c83(3'(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))))), 0'(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))), 2'(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))), 0'(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))), 0'(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))), 2'(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))), 1'(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))), 3'(3(3(1(3(0(0(2(2(2(0(z0))))))))))), 3'(3(1(3(0(0(2(2(2(0(z0)))))))))), 3'(1(3(0(0(2(2(2(0(z0))))))))), 1'(3(0(0(2(2(2(0(z0)))))))), 3'(0(0(2(2(2(0(z0))))))), 0'(0(2(2(2(0(z0)))))), 0'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))))), 1'(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))), 3'(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))), 3'(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))), 2'(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))), 3'(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))), 0'(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))), 0'(3(0(1(1(0(1(3(2(2(2(z0))))))))))), 3'(0(1(1(0(1(3(2(2(2(z0)))))))))), 0'(1(1(0(1(3(2(2(2(z0))))))))), 1'(1(0(1(3(2(2(2(z0)))))))), 1'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
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   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c81(0'(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))))), 3'(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))), 3'(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))), 3'(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))), 3'(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))), 3'(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))), 3'(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))), 0'(1(0(1(1(1(3(1(1(0(1(z0))))))))))), 1'(0(1(1(1(3(1(1(0(1(z0)))))))))), 0'(1(1(1(3(1(1(0(1(z0))))))))), 1'(1(1(3(1(1(0(1(z0)))))))), 1'(1(3(1(1(0(1(z0))))))), 1'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(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_3_1, ENCODE_1_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, c28_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> c82(0'(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))))), 1'(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))), 1'(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))), 0'(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))), 2'(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))), 3'(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))), 3'(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))), 3'(0(1(1(1(1(0(3(3(1(0(z0))))))))))), 0'(1(1(1(1(0(3(3(1(0(z0)))))))))), 1'(1(1(1(0(3(3(1(0(z0))))))))), 1'(1(1(0(3(3(1(0(z0)))))))), 1'(1(0(3(3(1(0(z0))))))), 1'(0(3(3(1(0(z0)))))), 0'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c83(3'(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))))), 0'(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))), 2'(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))), 0'(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))), 0'(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))), 2'(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))), 1'(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))), 3'(3(3(1(3(0(0(2(2(2(0(z0))))))))))), 3'(3(1(3(0(0(2(2(2(0(z0)))))))))), 3'(1(3(0(0(2(2(2(0(z0))))))))), 1'(3(0(0(2(2(2(0(z0)))))))), 3'(0(0(2(2(2(0(z0))))))), 0'(0(2(2(2(0(z0)))))), 0'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))))), 1'(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))), 3'(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))), 3'(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))), 2'(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))), 3'(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))), 0'(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))), 0'(3(0(1(1(0(1(3(2(2(2(z0))))))))))), 3'(0(1(1(0(1(3(2(2(2(z0)))))))))), 0'(1(1(0(1(3(2(2(2(z0))))))))), 1'(1(0(1(3(2(2(2(z0)))))))), 1'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(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_3_1, ENCODE_1_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, c28_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(0'(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))))), 1'(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))), 1'(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))), 2'(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))), 2'(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))), 2'(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))), 1'(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))), 0'(3(2(1(3(2(1(0(1(0(1(z0))))))))))), 3'(2(1(3(2(1(0(1(0(1(z0)))))))))), 2'(1(3(2(1(0(1(0(1(z0))))))))), 1'(3(2(1(0(1(0(1(z0)))))))), 3'(2(1(0(1(0(1(z0))))))), 2'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))), 3'(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))), 2'(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))), 0'(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))), 1'(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))), 3'(0(0(1(0(2(2(1(0(0(2(z0))))))))))), 0'(0(1(0(2(2(1(0(0(2(z0)))))))))), 0'(1(0(2(2(1(0(0(2(z0))))))))), 1'(0(2(2(1(0(0(2(z0)))))))), 0'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c20(0'(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))))))))), 3'(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))), 3'(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))))))), 1'(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))))), 2'(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))), 0'(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))), 0'(2(0(1(3(1(0(2(3(3(2(z0))))))))))), 2'(0(1(3(1(0(2(3(3(2(z0)))))))))), 0'(1(3(1(0(2(3(3(2(z0))))))))), 1'(3(1(0(2(3(3(2(z0)))))))), 3'(1(0(2(3(3(2(z0))))))), 1'(0(2(3(3(2(z0)))))), 0'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(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_3_1, ENCODE_1_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, c28_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   1'(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> c45(1'(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0)))))))))))))))))), 1'(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))), 0'(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0)))))))))))))))), 0'(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))), 0'(1(3(3(1(2(3(1(3(2(2(2(2(0(z0)))))))))))))), 1'(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))), 3'(3(1(2(3(1(3(2(2(2(2(0(z0)))))))))))), 3'(1(2(3(1(3(2(2(2(2(0(z0))))))))))), 1'(2(3(1(3(2(2(2(2(0(z0)))))))))), 2'(3(1(3(2(2(2(2(0(z0))))))))), 3'(1(3(2(2(2(2(0(z0)))))))), 1'(3(2(2(2(2(0(z0))))))), 3'(2(2(2(2(0(z0)))))), 2'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c80(3'(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))))))), 3'(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))), 0'(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))))), 3'(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))), 3'(3(3(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))))), 3'(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))), 3'(0(0(1(0(2(3(0(0(0(2(3(z0)))))))))))), 0'(0(1(0(2(3(0(0(0(2(3(z0))))))))))), 0'(1(0(2(3(0(0(0(2(3(z0)))))))))), 1'(0(2(3(0(0(0(2(3(z0))))))))), 0'(2(3(0(0(0(2(3(z0)))))))), 2'(3(0(0(0(2(3(z0))))))), 3'(0(0(0(2(3(z0)))))), 0'(0(0(2(3(z0))))), 0'(0(2(3(z0)))), 0'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c81(0'(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))))), 3'(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))), 3'(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))), 3'(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))), 3'(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))), 3'(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))), 3'(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))), 0'(1(0(1(1(1(3(1(1(0(1(z0))))))))))), 1'(0(1(1(1(3(1(1(0(1(z0)))))))))), 0'(1(1(1(3(1(1(0(1(z0))))))))), 1'(1(1(3(1(1(0(1(z0)))))))), 1'(1(3(1(1(0(1(z0))))))), 1'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> c82(0'(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))))), 1'(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))), 1'(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))), 0'(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))), 2'(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))), 3'(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))), 3'(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))), 3'(0(1(1(1(1(0(3(3(1(0(z0))))))))))), 0'(1(1(1(1(0(3(3(1(0(z0)))))))))), 1'(1(1(1(0(3(3(1(0(z0))))))))), 1'(1(1(0(3(3(1(0(z0)))))))), 1'(1(0(3(3(1(0(z0))))))), 1'(0(3(3(1(0(z0)))))), 0'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c83(3'(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))))), 0'(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))), 2'(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))), 0'(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))), 0'(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))), 2'(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))), 1'(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))), 3'(3(3(1(3(0(0(2(2(2(0(z0))))))))))), 3'(3(1(3(0(0(2(2(2(0(z0)))))))))), 3'(1(3(0(0(2(2(2(0(z0))))))))), 1'(3(0(0(2(2(2(0(z0)))))))), 3'(0(0(2(2(2(0(z0))))))), 0'(0(2(2(2(0(z0)))))), 0'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))))), 1'(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))), 3'(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))), 3'(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))), 2'(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))), 3'(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))), 0'(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))), 0'(3(0(1(1(0(1(3(2(2(2(z0))))))))))), 3'(0(1(1(0(1(3(2(2(2(z0)))))))))), 0'(1(1(0(1(3(2(2(2(z0))))))))), 1'(1(0(1(3(2(2(2(z0)))))))), 1'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(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_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(0'(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))))), 1'(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))), 1'(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))), 2'(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))), 2'(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))), 2'(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))), 1'(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))), 0'(3(2(1(3(2(1(0(1(0(1(z0))))))))))), 3'(2(1(3(2(1(0(1(0(1(z0)))))))))), 2'(1(3(2(1(0(1(0(1(z0))))))))), 1'(3(2(1(0(1(0(1(z0)))))))), 3'(2(1(0(1(0(1(z0))))))), 2'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))), 3'(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))), 2'(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))), 0'(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))), 1'(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))), 3'(0(0(1(0(2(2(1(0(0(2(z0))))))))))), 0'(0(1(0(2(2(1(0(0(2(z0)))))))))), 0'(1(0(2(2(1(0(0(2(z0))))))))), 1'(0(2(2(1(0(0(2(z0)))))))), 0'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c81(0'(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))))), 3'(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))), 3'(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))))), 3'(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))), 3'(3(3(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))))), 3'(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))), 3'(0(1(0(1(1(1(3(1(1(0(1(z0)))))))))))), 0'(1(0(1(1(1(3(1(1(0(1(z0))))))))))), 1'(0(1(1(1(3(1(1(0(1(z0)))))))))), 0'(1(1(1(3(1(1(0(1(z0))))))))), 1'(1(1(3(1(1(0(1(z0)))))))), 1'(1(3(1(1(0(1(z0))))))), 1'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(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_3_1, ENCODE_1_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, c28_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(0'(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))))), 1'(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))), 1'(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))), 2'(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))), 2'(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))), 2'(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))), 1'(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))), 0'(3(2(1(3(2(1(0(1(0(1(z0))))))))))), 3'(2(1(3(2(1(0(1(0(1(z0)))))))))), 2'(1(3(2(1(0(1(0(1(z0))))))))), 1'(3(2(1(0(1(0(1(z0)))))))), 3'(2(1(0(1(0(1(z0))))))), 2'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> c82(0'(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))))), 1'(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))), 1'(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))))), 0'(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))), 2'(3(3(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))))), 3'(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))), 3'(3(0(1(1(1(1(0(3(3(1(0(z0)))))))))))), 3'(0(1(1(1(1(0(3(3(1(0(z0))))))))))), 0'(1(1(1(1(0(3(3(1(0(z0)))))))))), 1'(1(1(1(0(3(3(1(0(z0))))))))), 1'(1(1(0(3(3(1(0(z0)))))))), 1'(1(0(3(3(1(0(z0))))))), 1'(0(3(3(1(0(z0)))))), 0'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c83(3'(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))))), 0'(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))), 2'(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))))), 0'(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))), 0'(2(1(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))))), 2'(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))), 1'(3(3(3(1(3(0(0(2(2(2(0(z0)))))))))))), 3'(3(3(1(3(0(0(2(2(2(0(z0))))))))))), 3'(3(1(3(0(0(2(2(2(0(z0)))))))))), 3'(1(3(0(0(2(2(2(0(z0))))))))), 1'(3(0(0(2(2(2(0(z0)))))))), 3'(0(0(2(2(2(0(z0))))))), 0'(0(2(2(2(0(z0)))))), 0'(2(2(2(0(z0))))), 2'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))))), 1'(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))), 3'(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))))), 3'(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))), 2'(3(0(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))))), 3'(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))), 0'(0(3(0(1(1(0(1(3(2(2(2(z0)))))))))))), 0'(3(0(1(1(0(1(3(2(2(2(z0))))))))))), 3'(0(1(1(0(1(3(2(2(2(z0)))))))))), 0'(1(1(0(1(3(2(2(2(z0))))))))), 1'(1(0(1(3(2(2(2(z0)))))))), 1'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c85(0'(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))))), 0'(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))), 2'(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))))), 1'(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))), 0'(1(3(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))))), 1'(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))), 3'(3(3(3(0(2(1(0(1(2(0(0(z0)))))))))))), 3'(3(3(0(2(1(0(1(2(0(0(z0))))))))))), 3'(3(0(2(1(0(1(2(0(0(z0)))))))))), 3'(0(2(1(0(1(2(0(0(z0))))))))), 0'(2(1(0(1(2(0(0(z0)))))))), 2'(1(0(1(2(0(0(z0))))))), 1'(0(1(2(0(0(z0)))))), 0'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c86(3'(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))), 2'(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))))), 0'(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))), 0'(0(1(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))))), 0'(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))), 1'(3(3(3(2(0(2(0(1(1(2(2(z0)))))))))))), 3'(3(3(2(0(2(0(1(1(2(2(z0))))))))))), 3'(3(2(0(2(0(1(1(2(2(z0)))))))))), 3'(2(0(2(0(1(1(2(2(z0))))))))), 2'(0(2(0(1(1(2(2(z0)))))))), 0'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> c87(3'(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))))), 2'(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))), 1'(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))))), 1'(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))), 1'(1(0(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))))), 1'(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))), 0'(0(2(3(3(2(1(0(0(2(3(0(z0)))))))))))), 0'(2(3(3(2(1(0(0(2(3(0(z0))))))))))), 2'(3(3(2(1(0(0(2(3(0(z0)))))))))), 3'(3(2(1(0(0(2(3(0(z0))))))))), 3'(2(1(0(0(2(3(0(z0)))))))), 2'(1(0(0(2(3(0(z0))))))), 1'(0(0(2(3(0(z0)))))), 0'(0(2(3(0(z0))))), 0'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c88(3'(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))))), 1'(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))), 2'(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))))), 3'(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))), 2'(3(2(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))))), 3'(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))), 2'(0(1(3(3(1(3(3(2(1(1(1(z0)))))))))))), 0'(1(3(3(1(3(3(2(1(1(1(z0))))))))))), 1'(3(3(1(3(3(2(1(1(1(z0)))))))))), 3'(3(1(3(3(2(1(1(1(z0))))))))), 3'(1(3(3(2(1(1(1(z0)))))))), 1'(3(3(2(1(1(1(z0))))))), 3'(3(2(1(1(1(z0)))))), 3'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c89(3'(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))))), 2'(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))), 0'(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))))), 1'(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))), 2'(1(1(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))))), 1'(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))), 1'(1(3(2(2(2(3(3(3(3(3(3(z0)))))))))))), 1'(3(2(2(2(3(3(3(3(3(3(z0))))))))))), 3'(2(2(2(3(3(3(3(3(3(z0)))))))))), 2'(2(2(3(3(3(3(3(3(z0))))))))), 2'(2(3(3(3(3(3(3(z0)))))))), 2'(3(3(3(3(3(3(z0))))))), 3'(3(3(3(3(3(z0)))))), 3'(3(3(3(3(z0))))), 3'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> c90(3'(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))))), 0'(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))), 1'(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))))), 1'(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))), 3'(1(0(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))))), 1'(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))), 0'(1(1(2(3(0(3(3(3(2(2(0(z0)))))))))))), 1'(1(2(3(0(3(3(3(2(2(0(z0))))))))))), 1'(2(3(0(3(3(3(2(2(0(z0)))))))))), 2'(3(0(3(3(3(2(2(0(z0))))))))), 3'(0(3(3(3(2(2(0(z0)))))))), 0'(3(3(3(2(2(0(z0))))))), 3'(3(3(2(2(0(z0)))))), 3'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(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_3_1, ENCODE_1_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, c28_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(z0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(z0))))))))))), 0'(0(3(2(3(0(1(1(2(0(z0)))))))))), 0'(3(2(3(0(1(1(2(0(z0))))))))), 3'(2(3(0(1(1(2(0(z0)))))))), 2'(3(0(1(1(2(0(z0))))))), 3'(0(1(1(2(0(z0)))))), 0'(1(1(2(0(z0))))), 1'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0)) by 
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(c_0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(c_2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(c_2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
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   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))), 0'(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))), 3'(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))), 2'(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))), 3'(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))), 0'(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))), 1'(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))), 1'(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))), 2'(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))), 0'(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 3'(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))), 2'(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))), 3'(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))), 1'(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))), 2'(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))), 0'(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(0'(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))))), 1'(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))), 1'(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))), 2'(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))), 2'(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))), 2'(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))), 1'(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))), 0'(3(2(1(3(2(1(0(1(0(1(z0))))))))))), 3'(2(1(3(2(1(0(1(0(1(z0)))))))))), 2'(1(3(2(1(0(1(0(1(z0))))))))), 1'(3(2(1(0(1(0(1(z0)))))))), 3'(2(1(0(1(0(1(z0))))))), 2'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))), 3'(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))), 2'(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))), 0'(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))), 1'(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))), 3'(0(0(1(0(2(2(1(0(0(2(z0))))))))))), 0'(0(1(0(2(2(1(0(0(2(z0)))))))))), 0'(1(0(2(2(1(0(0(2(z0))))))))), 1'(0(2(2(1(0(0(2(z0)))))))), 0'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(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)))
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   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(c_2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(c_3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(3(c_3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(3(3(c_0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(c_3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(c_0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
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   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 3'(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))), 2'(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))), 3'(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))), 1'(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))), 2'(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))), 0'(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))
S tuples:
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))))), 0'(3(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))))), 3'(2(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))))), 2'(3(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))))), 3'(0(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))))), 0'(1(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))))), 1'(1(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))))), 1'(2(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))), 2'(0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0))))))))))))))))))), 0'(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(0(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(3(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 3'(2(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))))), 2'(3(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))))), 3'(0(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))))), 0'(1(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))))), 1'(1(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))))), 1'(2(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))))), 2'(0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0))))))))))))))))))), 0'(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_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_3_1, ENCODE_1_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, c28_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0)) by 
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(c_3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(c_3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(c_2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(c_3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(c_3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(c_3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(c_2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(c_0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(c_0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(c_0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(c_0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(c_1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(c_2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(c_2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0))))))))))))))))))))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0))))))))))))))))))))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0))))))))))))))))))))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0))))))))))))))))))))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))))))))))), 0'(0(0(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0))))))))))))))))))))))))))), 0'(0(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))))))))), 0'(0(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0))))))))))))))))))))))))), 0'(1(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))))))), 1'(2(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0))))))))))))))))))))))), 2'(2(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))))), 2'(3(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0))))))))))))))))))))), 3'(1(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))), 1'(2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0))))))))))))))))))), 2'(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))), 0'(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))), 0'(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))), 0'(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))), 1'(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))), 2'(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))), 2'(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))), 3'(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))), 1'(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))), 2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))), 0'(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))), 0'(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))), 0'(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))), 0'(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))), 1'(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))), 2'(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))), 2'(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))), 3'(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))), 1'(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))), 2'(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))

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

(58)
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_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 0(0(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 2(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))))
   0(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))))
   0(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 0(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))))
   0(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))))
   0(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> 0(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))))
   0(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 3(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))))
   0(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 0(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))))
   0(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_3(c_1(c_1(c_2(c_0(c_3(c_2(c_1(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(2(2(0(1(1(2(2(2(1(1(1(1(3(3(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 0(0(0(0(0(3(1(3(3(2(1(1(3(0(1(0(1(3(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_3(c_0(c_3(c_0(c_3(c_3(c_0(c_1(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(3(2(0(3(3(0(1(0(3(1(3(3(2(1(0(0(0(z0))))))))))))))))))
   0(c_2(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_1(c_1(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 0(2(2(3(2(2(1(3(0(0(1(1(3(0(0(0(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_1(c_3(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 0(1(3(3(2(3(3(0(0(1(0(0(0(3(3(3(2(2(z0))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(0(0(3(2(3(0(0(1(2(2(3(2(1(0(1(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_1(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_3(c_1(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(0(2(3(2(1(1(1(1(3(3(3(3(3(2(3(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_3(c_0(c_2(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(2(3(0(2(1(0(3(3(2(2(2(3(3(3(0(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(1(2(2(1(0(1(1(0(3(0(3(2(1(0(1(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_3(c_0(c_3(c_1(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(0(1(2(1(2(3(0(1(2(3(3(2(3(3(0(z0))))))))))))))))))
   1(c_3(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(1(3(1(2(3(3(0(1(3(3(2(1(2(1(3(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_3(c_3(c_0(c_2(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(1(2(0(3(0(0(0(1(3(3(0(1(2(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 1(3(3(3(3(0(0(1(0(1(3(1(3(0(0(3(2(1(z0))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_3(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(3(2(1(1(3(3(1(1(2(1(1(0(1(1(2(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_2(c_3(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 1(2(2(2(1(1(3(0(3(3(0(1(0(1(1(2(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(0(0(1(3(2(1(1(1(0(1(2(2(1(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_2(c_2(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 1(1(3(2(1(2(1(2(1(0(2(3(1(2(2(1(1(3(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(2(2(0(2(1(1(1(2(1(3(3(2(3(3(3(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(0(1(3(0(1(0(3(1(1(1(1(2(3(3(1(2(1(z0))))))))))))))))))
   1(c_1(c_2(c_3(c_0(c_3(c_1(c_1(c_2(c_2(c_3(c_1(c_2(c_0(c_1(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(1(0(1(1(1(0(1(2(3(0(2(3(3(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_3(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_2(c_3(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(0(0(0(1(3(3(1(2(3(1(3(2(2(2(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_0(c_3(c_1(c_0(c_2(c_3(c_1(c_2(c_3(c_3(c_3(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(3(3(0(1(2(0(3(0(1(2(1(3(3(3(2(3(2(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_3(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(1(2(2(1(0(2(3(2(0(2(3(0(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_3(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(1(0(2(0(3(3(3(1(2(2(3(3(0(2(2(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_3(c_2(c_0(c_3(c_1(c_3(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(0(1(0(2(0(0(2(0(3(2(2(1(1(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(2(2(3(1(1(2(3(2(2(1(3(3(3(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> 2(2(1(3(3(3(1(3(3(2(2(3(1(0(2(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(3(3(1(2(1(0(2(1(2(0(3(2(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(1(0(3(3(2(0(3(3(3(0(2(1(0(0(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_1(c_2(c_2(c_2(c_1(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(3(1(0(3(2(3(3(2(1(0(1(2(0(1(0(z0))))))))))))))))))
   2(c_3(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(3(1(3(0(2(0(0(1(3(3(2(3(2(3(3(2(2(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_2(c_0(c_1(c_3(c_1(c_2(c_2(c_2(c_1(c_2(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 2(2(1(3(3(2(2(2(0(2(1(0(3(2(1(1(1(1(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(3(0(0(0(1(2(1(3(0(1(0(0(2(0(1(z0))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_3(c_0(c_3(c_1(c_1(c_1(c_3(c_3(c_2(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(2(3(2(3(0(1(3(0(3(0(1(3(3(2(1(0(0(z0))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_0(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(1(3(2(0(0(1(2(1(3(2(3(2(0(1(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(3(3(1(2(1(1(0(2(2(0(3(3(3(3(3(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))
   2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_0(c_3(c_0(c_2(c_2(c_3(c_2(c_0(c_0(c_2(c_1(c_2(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(2(3(2(0(2(0(3(2(1(0(1(3(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 0(3(0(2(1(1(0(2(2(2(2(1(3(3(1(0(2(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(3(2(2(1(2(2(3(3(3(2(3(3(0(1(2(2(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_0(c_0(c_3(c_1(c_2(c_3(c_1(c_2(c_3(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(1(3(1(0(2(2(3(2(z0))))))))))))))))))
   3(c_2(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_3(c_0(c_0(c_1(c_1(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(3(2(0(0(0(2(3(3(0(1(1(3(1(0(1(0(z0))))))))))))))))))
   3(c_0(c_2(c_1(c_2(c_2(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(2(1(3(0(2(1(3(3(0(1(0(1(0(z0))))))))))))))))))
   3(c_3(c_2(c_0(c_3(c_2(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_1(c_3(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(3(3(3(2(3(0(1(0(2(2(3(3(1(2(2(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(1(1(1(1(2(3(3(0(1(1(0(0(1(3(3(1(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_0(c_1(c_3(c_0(c_1(c_1(c_1(c_3(c_0(c_2(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(3(2(3(2(0(3(3(1(0(2(1(1(0(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_3(c_3(c_0(c_3(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(2(3(1(1(3(0(2(3(3(3(3(0(0(0(0(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_0(c_3(c_2(c_1(c_0(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(1(0(1(3(2(0(3(2(2(2(3(2(1(2(1(0(1(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(2(3(1(3(3(2(0(0(1(1(2(1(2(2(1(2(3(z0))))))))))))))))))
   3(c_0(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_2(c_3(c_1(c_3(c_1(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(1(1(3(3(2(1(3(0(0(2(3(1(0(0(3(2(1(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_0(c_3(c_3(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(3(0(3(3(3(3(0(0(1(0(2(3(0(0(0(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> 0(3(3(3(3(3(3(0(1(0(1(1(1(3(1(1(0(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_1(c_3(c_0(z0)))))))))))))))))) -> 0(1(1(0(2(3(3(3(0(1(1(1(1(0(3(3(1(0(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 3(0(2(0(0(2(1(3(3(3(1(3(0(0(2(2(2(0(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_1(c_0(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(3(2(3(0(0(3(0(1(1(0(1(3(2(2(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 0(0(2(1(0(1(3(3(3(3(0(2(1(0(1(2(0(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_0(c_0(c_2(c_0(c_3(c_0(c_2(c_2(c_1(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 3(2(2(0(0(0(1(3(3(3(2(0(2(0(1(1(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_2(c_2(c_1(c_0(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_3(c_1(c_1(z0)))))))))))))))))) -> 3(2(1(1(1(1(0(0(2(3(3(2(1(0(0(2(3(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_3(c_2(c_3(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 3(1(2(3(2(3(2(0(1(3(3(1(3(3(2(1(1(1(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_2(c_2(c_0(c_3(c_1(c_2(c_3(c_2(c_3(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(2(1(1(1(3(2(2(2(3(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_2(c_0(c_3(c_3(c_0(c_1(z0)))))))))))))))))) -> 3(0(1(1(3(1(0(1(1(2(3(0(3(3(3(2(2(0(z0))))))))))))))))))
   3(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> 0(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   0'(c_3(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c11(0'(2(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))))), 2'(2(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))))), 2'(0(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))))), 0'(0(2(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))))), 2'(0(0(2(1(1(0(3(3(2(3(3(2(z0))))))))))))), 0'(0(2(1(1(0(3(3(2(3(3(2(z0)))))))))))), 0'(2(1(1(0(3(3(2(3(3(2(z0))))))))))), 2'(1(1(0(3(3(2(3(3(2(z0)))))))))), 1'(1(0(3(3(2(3(3(2(z0))))))))), 1'(0(3(3(2(3(3(2(z0)))))))), 0'(3(3(2(3(3(2(z0))))))), 3'(3(2(3(3(2(z0)))))), 3'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_1(c_1(c_3(c_1(c_2(c_1(c_2(c_0(c_3(c_0(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c12(0'(3(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))))), 3'(2(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))))), 2'(1(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))))), 1'(0(0(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))))), 0'(0(3(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))))), 0'(3(2(1(0(1(2(1(3(1(2(0(1(z0))))))))))))), 3'(2(1(0(1(2(1(3(1(2(0(1(z0)))))))))))), 2'(1(0(1(2(1(3(1(2(0(1(z0))))))))))), 1'(0(1(2(1(3(1(2(0(1(z0)))))))))), 0'(1(2(1(3(1(2(0(1(z0))))))))), 1'(2(1(3(1(2(0(1(z0)))))))), 2'(1(3(1(2(0(1(z0))))))), 1'(3(1(2(0(1(z0)))))), 3'(1(2(0(1(z0))))), 1'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_3(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_3(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c13(0'(0(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))))), 0'(1(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))))), 1'(1(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))))), 1'(2(1(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))))), 2'(1(1(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))))), 1'(1(3(3(1(0(1(2(1(0(0(2(2(z0))))))))))))), 1'(3(3(1(0(1(2(1(0(0(2(2(z0)))))))))))), 3'(3(1(0(1(2(1(0(0(2(2(z0))))))))))), 3'(1(0(1(2(1(0(0(2(2(z0)))))))))), 1'(0(1(2(1(0(0(2(2(z0))))))))), 0'(1(2(1(0(0(2(2(z0)))))))), 1'(2(1(0(0(2(2(z0))))))), 2'(1(0(0(2(2(z0)))))), 1'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(0'(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))))), 1'(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))), 1'(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))), 2'(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))), 2'(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))), 2'(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))), 1'(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))), 0'(3(2(1(3(2(1(0(1(0(1(z0))))))))))), 3'(2(1(3(2(1(0(1(0(1(z0)))))))))), 2'(1(3(2(1(0(1(0(1(z0))))))))), 1'(3(2(1(0(1(0(1(z0)))))))), 3'(2(1(0(1(0(1(z0))))))), 2'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))), 3'(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))), 2'(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))), 0'(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))), 1'(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))), 3'(0(0(1(0(2(2(1(0(0(2(z0))))))))))), 0'(0(1(0(2(2(1(0(0(2(z0)))))))))), 0'(1(0(2(2(1(0(0(2(z0))))))))), 1'(0(2(2(1(0(0(2(z0)))))))), 0'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c20(0'(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))))))))), 3'(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))), 3'(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))))))), 1'(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))))), 2'(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))), 0'(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))), 0'(2(0(1(3(1(0(2(3(3(2(z0))))))))))), 2'(0(1(3(1(0(2(3(3(2(z0)))))))))), 0'(1(3(1(0(2(3(3(2(z0))))))))), 1'(3(1(0(2(3(3(2(z0)))))))), 3'(1(0(2(3(3(2(z0))))))), 1'(0(2(3(3(2(z0)))))), 0'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_2(c_1(c_2(c_2(c_0(c_3(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(c_0(z0)))))))))))))))))) -> c91(0'(2(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))))), 2'(2(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))))), 2'(3(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))))), 3'(3(3(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))))), 3'(3(3(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))))), 3'(3(2(2(1(0(2(1(2(0(0(0(0(z0))))))))))))), 3'(2(2(1(0(2(1(2(0(0(0(0(z0)))))))))))), 2'(2(1(0(2(1(2(0(0(0(0(z0))))))))))), 2'(1(0(2(1(2(0(0(0(0(z0)))))))))), 1'(0(2(1(2(0(0(0(0(z0))))))))), 0'(2(1(2(0(0(0(0(z0)))))))), 2'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(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)))
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   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(c_2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(c_3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(3(c_3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(3(3(c_0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(c_3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
   0'(c_3(c_1(c_0(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_3(c_0(x0)))))))))))))))))) -> c9(0'(0(2(2(3(3(0(3(c_0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))))), 0'(2(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))))), 2'(2(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))))), 2'(3(3(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))))), 3'(3(0(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))))), 3'(0(3(0(0(3(2(3(0(1(1(2(0(x0))))))))))))), 0'(3(0(0(3(2(3(0(1(1(2(0(x0)))))))))))), 3'(0(0(3(2(3(0(1(1(2(0(x0))))))))))), 0'(0(3(2(3(0(1(1(2(0(x0)))))))))), 0'(3(2(3(0(1(1(2(0(x0))))))))), 3'(2(3(0(1(1(2(0(x0)))))))), 2'(3(0(1(1(2(0(x0))))))), 3'(0(1(1(2(0(x0)))))), 0'(1(1(2(0(x0))))), 1'(1(2(0(x0)))), 1'(2(0(x0))), 2'(0(x0)), 0'(x0))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(c_2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(c_0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(c_0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(c_0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(c_0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(c_1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(c_2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(c_2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(c_3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(c_2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(1(3(0(1(0(2(3(3(2(1(0(0(2(2(1(3(1(0(z0))))))))))))))))))))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))))), 0'(0(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))))), 0'(0(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))))), 0'(0(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))))), 0'(1(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))))), 1'(2(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))))), 2'(2(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))))), 2'(3(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))))), 3'(1(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))), 1'(2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0))))))))))))))))))), 2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_3(c_1(c_2(c_1(c_3(c_1(c_2(c_3(c_3(c_0(z0)))))))))))))))))))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))), 0'(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))), 0'(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))), 0'(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))), 0'(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))), 1'(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))), 2'(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))), 2'(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))), 3'(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))), 1'(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))), 2'(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))
S tuples:
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   0'(c_3(c_2(c_2(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_3(c_0(c_0(z0)))))))))))))))))) -> c14(2'(0(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))))), 0'(0(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))))), 0'(1(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))))), 1'(0(3(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))))), 0'(3(3(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))))), 3'(3(2(0(1(3(0(1(2(3(3(0(0(z0))))))))))))), 3'(2(0(1(3(0(1(2(3(3(0(0(z0)))))))))))), 2'(0(1(3(0(1(2(3(3(0(0(z0))))))))))), 0'(1(3(0(1(2(3(3(0(0(z0)))))))))), 1'(3(0(1(2(3(3(0(0(z0))))))))), 3'(0(1(2(3(3(0(0(z0)))))))), 0'(1(2(3(3(0(0(z0))))))), 1'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_3(c_2(c_0(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c15(0'(0(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))))), 0'(1(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))))), 1'(3(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))))), 3'(0(1(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))))), 0'(1(0(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))))), 1'(0(0(0(1(0(2(3(3(3(3(2(1(z0))))))))))))), 0'(0(0(1(0(2(3(3(3(3(2(1(z0)))))))))))), 0'(0(1(0(2(3(3(3(3(2(1(z0))))))))))), 0'(1(0(2(3(3(3(3(2(1(z0)))))))))), 1'(0(2(3(3(3(3(2(1(z0))))))))), 0'(2(3(3(3(3(2(1(z0)))))))), 2'(3(3(3(3(2(1(z0))))))), 3'(3(3(3(2(1(z0)))))), 3'(3(3(2(1(z0))))), 3'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_3(c_0(c_0(c_3(c_1(c_0(c_0(c_1(z0)))))))))))))))))) -> c16(0'(0(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))))), 1'(0(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))))), 0'(0(0(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))))), 0'(0(0(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))))), 0'(0(2(2(1(0(3(3(3(1(1(0(1(z0))))))))))))), 0'(2(2(1(0(3(3(3(1(1(0(1(z0)))))))))))), 2'(2(1(0(3(3(3(1(1(0(1(z0))))))))))), 2'(1(0(3(3(3(1(1(0(1(z0)))))))))), 1'(0(3(3(3(1(1(0(1(z0))))))))), 0'(3(3(3(1(1(0(1(z0)))))))), 3'(3(3(1(1(0(1(z0))))))), 3'(3(1(1(0(1(z0)))))), 3'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_3(c_3(c_1(c_2(c_0(c_2(c_3(c_2(c_0(c_3(c_1(c_1(c_1(c_1(c_3(z0)))))))))))))))))) -> c17(3'(2(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))))), 2'(1(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))))), 1'(3(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))))), 3'(2(2(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))))), 2'(2(1(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))))), 2'(1(3(3(0(0(3(1(0(1(0(1(3(z0))))))))))))), 1'(3(3(0(0(3(1(0(1(0(1(3(z0)))))))))))), 3'(3(0(0(3(1(0(1(0(1(3(z0))))))))))), 3'(0(0(3(1(0(1(0(1(3(z0)))))))))), 0'(0(3(1(0(1(0(1(3(z0))))))))), 0'(3(1(0(1(0(1(3(z0)))))))), 3'(1(0(1(0(1(3(z0))))))), 1'(0(1(0(1(3(z0)))))), 0'(1(0(1(3(z0))))), 1'(0(1(3(z0)))), 0'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(0'(1(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))))), 1'(1(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))))), 1'(2(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))))), 2'(2(2(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))))), 2'(2(1(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))))), 2'(1(0(3(2(1(3(2(1(0(1(0(1(z0))))))))))))), 1'(0(3(2(1(3(2(1(0(1(0(1(z0)))))))))))), 0'(3(2(1(3(2(1(0(1(0(1(z0))))))))))), 3'(2(1(3(2(1(0(1(0(1(z0)))))))))), 2'(1(3(2(1(0(1(0(1(z0))))))))), 1'(3(2(1(0(1(0(1(z0)))))))), 3'(2(1(0(1(0(1(z0))))))), 2'(1(0(1(0(1(z0)))))), 1'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_2(c_1(c_0(z0)))))))))))))))))) -> c19(0'(2(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))))), 3'(3(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))))), 3'(2(0(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))))), 2'(0(1(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))))), 0'(1(3(0(0(1(0(2(2(1(0(0(2(z0))))))))))))), 1'(3(0(0(1(0(2(2(1(0(0(2(z0)))))))))))), 3'(0(0(1(0(2(2(1(0(0(2(z0))))))))))), 0'(0(1(0(2(2(1(0(0(2(z0)))))))))), 0'(1(0(2(2(1(0(0(2(z0))))))))), 1'(0(2(2(1(0(0(2(z0)))))))), 0'(2(2(1(0(0(2(z0))))))), 2'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_0(c_0(c_1(c_2(c_3(c_1(c_0(c_3(c_2(c_3(c_0(c_0(c_3(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c20(0'(3(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))))))))), 3'(3(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))))), 3'(1(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))))))), 1'(0(2(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))))), 0'(2(0(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))))), 2'(0(0(2(0(1(3(1(0(2(3(3(2(z0))))))))))))), 0'(0(2(0(1(3(1(0(2(3(3(2(z0)))))))))))), 0'(2(0(1(3(1(0(2(3(3(2(z0))))))))))), 2'(0(1(3(1(0(2(3(3(2(z0)))))))))), 0'(1(3(1(0(2(3(3(2(z0))))))))), 1'(3(1(0(2(3(3(2(z0)))))))), 3'(1(0(2(3(3(2(z0))))))), 1'(0(2(3(3(2(z0)))))), 0'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_0(c_1(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_1(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> c21(0'(1(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0)))))))))))))))))), 1'(1(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))))), 1'(1(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0)))))))))))))))), 1'(1(0(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))))), 1'(0(2(1(3(1(0(2(1(3(0(3(3(0(z0)))))))))))))), 0'(2(1(3(1(0(2(1(3(0(3(3(0(z0))))))))))))), 2'(1(3(1(0(2(1(3(0(3(3(0(z0)))))))))))), 1'(3(1(0(2(1(3(0(3(3(0(z0))))))))))), 3'(1(0(2(1(3(0(3(3(0(z0)))))))))), 1'(0(2(1(3(0(3(3(0(z0))))))))), 0'(2(1(3(0(3(3(0(z0)))))))), 2'(1(3(0(3(3(0(z0))))))), 1'(3(0(3(3(0(z0)))))), 3'(0(3(3(0(z0))))), 0'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_1(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_1(z0)))))))))))))))))) -> c22(3'(3(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0)))))))))))))))))), 3'(1(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))))), 1'(3(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0)))))))))))))))), 3'(2(1(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))))), 2'(1(1(1(1(1(0(1(0(1(3(2(1(1(z0)))))))))))))), 1'(1(1(1(1(0(1(0(1(3(2(1(1(z0))))))))))))), 1'(1(1(1(0(1(0(1(3(2(1(1(z0)))))))))))), 1'(1(1(0(1(0(1(3(2(1(1(z0))))))))))), 1'(1(0(1(0(1(3(2(1(1(z0)))))))))), 1'(0(1(0(1(3(2(1(1(z0))))))))), 0'(1(0(1(3(2(1(1(z0)))))))), 1'(0(1(3(2(1(1(z0))))))), 0'(1(3(2(1(1(z0)))))), 1'(3(2(1(1(z0))))), 3'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_3(c_0(c_1(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_0(c_3(c_2(c_1(c_0(z0)))))))))))))))))) -> c23(0'(1(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0)))))))))))))))))), 1'(2(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))))), 2'(1(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0)))))))))))))))), 1'(0(0(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))))), 0'(0(3(2(1(2(0(1(3(3(3(2(1(2(z0)))))))))))))), 0'(3(2(1(2(0(1(3(3(3(2(1(2(z0))))))))))))), 3'(2(1(2(0(1(3(3(3(2(1(2(z0)))))))))))), 2'(1(2(0(1(3(3(3(2(1(2(z0))))))))))), 1'(2(0(1(3(3(3(2(1(2(z0)))))))))), 2'(0(1(3(3(3(2(1(2(z0))))))))), 0'(1(3(3(3(2(1(2(z0)))))))), 1'(3(3(3(2(1(2(z0))))))), 3'(3(3(2(1(2(z0)))))), 3'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   1'(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c48(2'(2(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))))))))), 2'(1(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))))), 1'(0(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))))))), 0'(1(0(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))))), 1'(0(2(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))))), 0'(2(1(0(2(1(0(3(1(0(1(1(0(z0))))))))))))), 2'(1(0(2(1(0(3(1(0(1(1(0(z0)))))))))))), 1'(0(2(1(0(3(1(0(1(1(0(z0))))))))))), 0'(2(1(0(3(1(0(1(1(0(z0)))))))))), 2'(1(0(3(1(0(1(1(0(z0))))))))), 1'(0(3(1(0(1(1(0(z0)))))))), 0'(3(1(0(1(1(0(z0))))))), 3'(1(0(1(1(0(z0)))))), 1'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(c_3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(c_3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(c_2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(c_0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(c_0(0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(c_0(0(1(2(2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(c_2(3(1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(x0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(c_1(2(x0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(x0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(x0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(x0))))))))))), 0'(0(0(0(1(2(2(3(1(2(x0)))))))))), 0'(0(0(1(2(2(3(1(2(x0))))))))), 0'(0(1(2(2(3(1(2(x0)))))))), 0'(1(2(2(3(1(2(x0))))))), 1'(2(2(3(1(2(x0)))))), 2'(2(3(1(2(x0))))), 2'(3(1(2(x0)))), 3'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(c_2(z0)))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(z0))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(z0)))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(z0))))))))))), 0'(0(0(0(1(2(2(3(1(2(z0)))))))))), 0'(0(0(1(2(2(3(1(2(z0))))))))), 0'(0(1(2(2(3(1(2(z0)))))))), 0'(1(2(2(3(1(2(z0))))))), 1'(2(2(3(1(2(z0)))))), 2'(2(3(1(2(z0))))), 2'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(1(0(1(2(2(0(3(3(3(0(2(2(0(1(0(1(2(z0))))))))))))))))))))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))))))), 0'(0(0(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))))))), 0'(0(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))))), 0'(0(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))))), 0'(1(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))), 1'(2(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0))))))))))))))))))))))), 2'(2(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))), 2'(3(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0))))))))))))))))))))), 3'(1(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))), 1'(2(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0))))))))))))))))))), 2'(c_0(c_1(c_2(c_0(c_2(c_3(c_0(c_0(c_3(c_3(c_2(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))
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   0'(c_3(c_2(c_0(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_2(c_3(c_3(c_0(c_2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))))))))) -> c10(2'(3(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(3(3(2(0(3(2(1(1(1(0(3(2(0(3(0(2(3(z0))))))))))))))))))))))))))))))))))), 3'(3(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))))))))), 3'(2(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))))))), 2'(3(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))))))), 3'(3(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))))), 3'(3(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))))), 3'(2(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))))), 2'(0(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))))), 0'(0(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))))), 0'(0(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))))), 0'(0(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))))), 0'(1(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))))), 1'(2(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))))), 2'(2(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))))), 2'(3(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))))), 3'(1(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0)))))))))))))))))))), 1'(2(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(z0))))))))))))))))))), 2'(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_0(c_0(c_3(c_1(c_1(c_2(c_2(c_2(c_3(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_3_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   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_18, c29_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, c51_18, c52_18, c53_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, c67_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_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, c10_18