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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 119 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 10 ms]
    (10) typed CpxTrs
(11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 4 ms]
(12) TRS for Loop Detection
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1447 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), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1730 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 32 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 30 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 5 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1104 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), 7821 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2352 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2372 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2412 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2382 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5731 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6514 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(3(1(3(1(0(0(2(0(2(1(3(2(3(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1))))))))))))))))))
   0(0(0(3(2(1(1(2(0(1(3(2(2(1(3(1(0(1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1))))))))))))))))))
   0(0(1(0(0(2(2(1(3(1(3(3(2(0(0(2(0(3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1))))))))))))))))))
   0(0(1(0(1(3(1(1(1(1(2(2(2(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1))))))))))))))))))
   0(0(3(0(0(2(3(2(1(2(1(3(2(0(0(3(1(2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1))))))))))))))))))
   0(0(3(1(3(2(3(2(3(1(2(0(3(0(3(2(1(3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
   0(1(0(0(2(2(3(1(3(3(3(2(0(0(1(3(3(0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1))))))))))))))))))
   0(1(1(0(2(1(0(1(3(2(2(0(0(2(0(2(3(3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1))))))))))))))))))
   0(1(1(3(0(0(0(1(3(1(3(1(3(3(0(0(2(3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1))))))))))))))))))
   0(1(1(3(0(3(3(2(0(1(3(0(1(3(2(0(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1))))))))))))))))))
   0(1(3(0(0(0(1(3(3(1(2(3(2(3(3(0(0(0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1))))))))))))))))))
   0(1(3(1(3(0(2(3(3(3(2(2(3(2(2(0(0(0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1))))))))))))))))))
   0(1(3(2(0(3(0(2(0(0(3(0(3(3(1(0(1(3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(0(1(0(0(2(3(1(3(0(1(3(3(2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1))))))))))))))))))
   0(2(3(2(3(2(0(0(3(3(2(1(3(2(3(0(2(0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1))))))))))))))))))
   0(3(0(0(1(2(0(3(1(3(0(1(3(1(0(1(3(3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1))))))))))))))))))
   0(3(0(0(2(0(0(2(3(3(0(2(1(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1))))))))))))))))))
   0(3(0(2(0(0(3(1(2(0(1(3(3(1(2(1(1(3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1))))))))))))))))))
   0(3(2(3(3(0(0(1(0(2(3(2(3(3(3(1(1(2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1))))))))))))))))))
   1(0(0(1(1(3(3(3(2(2(0(2(3(3(1(3(3(3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1))))))))))))))))))
   1(0(0(3(2(0(2(0(0(1(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1))))))))))))))))))
   1(0(1(3(2(3(2(2(0(2(0(1(3(0(0(2(2(1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1))))))))))))))))))
   1(0(2(0(0(0(3(1(3(0(1(2(0(1(3(0(2(0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1))))))))))))))))))
   1(0(2(3(0(1(3(1(3(3(3(0(1(2(0(0(2(0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1))))))))))))))))))
   1(0(2(3(1(1(1(1(2(3(1(2(0(1(0(3(2(0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1))))))))))))))))))
   1(0(2(3(2(2(1(2(3(0(2(2(3(1(3(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
   1(1(0(2(1(2(3(1(0(2(2(3(2(3(2(0(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1))))))))))))))))))
   1(1(1(1(0(3(1(2(0(1(0(0(2(3(2(1(3(0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1))))))))))))))))))
   1(1(1(3(1(1(0(2(2(2(3(2(0(1(3(0(1(2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
   1(1(2(0(0(1(1(2(3(0(2(1(2(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
   1(1(3(1(3(1(3(3(0(3(2(0(3(1(0(1(2(0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1))))))))))))))))))
   1(1(3(2(1(3(0(0(2(3(1(1(3(2(2(1(3(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1))))))))))))))))))
   1(2(0(0(1(0(1(3(0(3(3(3(1(3(2(3(0(3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1))))))))))))))))))
   1(2(2(3(0(2(3(3(3(2(0(1(0(0(2(1(2(3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
   1(2(3(0(2(0(2(3(2(0(0(1(0(3(0(0(1(3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1))))))))))))))))))
   1(3(0(0(0(1(1(1(1(2(2(3(3(0(1(2(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1))))))))))))))))))
   1(3(0(0(3(1(1(1(3(1(1(2(0(2(1(3(3(2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
   1(3(0(1(2(0(1(0(3(0(3(1(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
   1(3(0(3(3(0(3(3(1(2(3(0(2(1(2(0(0(1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1))))))))))))))))))
   1(3(1(3(0(0(1(0(1(3(0(2(1(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
   1(3(1(3(1(2(3(2(3(2(2(3(1(1(0(1(1(0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
   1(3(1(3(3(0(0(2(3(2(3(1(2(2(2(2(1(3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1))))))))))))))))))
   1(3(1(3(3(3(3(0(0(1(3(1(2(3(2(3(3(3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
   1(3(2(0(0(0(2(2(2(2(3(2(1(3(1(1(0(3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1))))))))))))))))))
   1(3(2(0(1(3(2(1(0(0(2(2(2(1(1(1(3(3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1))))))))))))))))))
   1(3(2(1(2(1(2(3(0(1(0(3(3(1(0(2(0(0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1))))))))))))))))))
   1(3(2(2(1(0(0(2(1(0(1(3(1(3(0(3(1(3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1))))))))))))))))))
   1(3(3(1(3(0(3(3(1(3(1(3(3(1(2(3(2(3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1))))))))))))))))))
   2(0(0(1(3(1(0(1(1(2(1(1(3(2(1(1(3(0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1))))))))))))))))))
   2(0(1(0(2(0(1(3(1(3(3(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1))))))))))))))))))
   2(0(2(3(3(1(1(0(0(1(3(1(3(0(3(0(0(0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1))))))))))))))))))
   2(1(0(0(3(0(3(1(3(0(3(2(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
   2(1(0(1(3(2(0(0(0(3(2(3(0(2(0(2(2(2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1))))))))))))))))))
   2(1(0(2(2(0(2(1(3(1(2(1(1(1(0(2(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
   2(1(0(3(1(3(1(0(1(3(3(2(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1))))))))))))))))))
   2(1(2(3(2(3(2(1(1(2(2(1(2(0(1(3(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
   2(1(3(2(0(1(1(2(1(0(0(3(0(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
   2(3(0(0(0(1(1(0(2(2(2(2(2(0(3(1(3(0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1))))))))))))))))))
   3(0(0(0(1(3(3(2(1(3(2(3(1(3(0(2(3(1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
   3(0(0(2(0(2(0(0(1(3(0(3(3(2(0(2(3(3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1))))))))))))))))))
   3(0(0(2(0(3(1(0(1(0(0(2(3(2(0(0(3(0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1))))))))))))))))))
   3(0(0(2(1(3(1(3(1(2(3(0(3(1(0(0(2(0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(3(0(2(3(0(0(2(3(0(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1))))))))))))))))))
   3(0(1(3(0(0(3(3(2(3(1(3(2(0(2(3(3(2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1))))))))))))))))))
   3(0(2(2(3(3(2(0(3(0(2(2(0(1(3(0(2(2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1))))))))))))))))))
   3(0(3(1(2(3(2(1(0(1(3(3(0(3(3(2(1(3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1))))))))))))))))))
   3(0(3(1(3(1(3(2(2(3(2(2(2(0(1(3(1(2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
   3(0(3(3(2(3(2(3(0(2(0(0(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1))))))))))))))))))
   3(1(0(3(1(3(3(3(0(0(1(0(3(3(1(3(0(3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
   3(1(1(2(2(3(0(0(0(1(1(3(2(3(1(0(2(3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(x1))))))))))))))))))
   3(1(1(3(3(1(3(3(1(0(3(0(0(3(0(0(0(1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1))))))))))))))))))
   3(1(2(0(0(2(3(0(0(2(3(3(2(0(0(2(0(0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1))))))))))))))))))
   3(1(3(2(0(3(0(2(1(3(2(1(3(1(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1))))))))))))))))))
   3(1(3(3(1(3(1(1(2(3(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1))))))))))))))))))
   3(1(3(3(2(3(2(1(3(0(1(1(3(3(3(0(0(3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1))))))))))))))))))
   3(2(0(3(1(3(0(1(1(3(0(0(0(3(0(3(1(3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1))))))))))))))))))
   3(2(3(1(2(0(1(2(3(1(1(3(3(3(3(3(0(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1))))))))))))))))))
   3(2(3(3(2(1(0(0(2(2(3(0(0(1(0(3(1(3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1))))))))))))))))))
   3(2(3(3(2(3(2(1(1(3(0(1(0(2(2(1(3(0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1))))))))))))))))))
   3(3(1(2(1(1(1(3(2(1(3(3(1(3(2(3(2(1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(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(3(1(3(1(0(0(2(0(2(1(3(2(3(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1))))))))))))))))))
   0(0(0(3(2(1(1(2(0(1(3(2(2(1(3(1(0(1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1))))))))))))))))))
   0(0(1(0(0(2(2(1(3(1(3(3(2(0(0(2(0(3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1))))))))))))))))))
   0(0(1(0(1(3(1(1(1(1(2(2(2(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1))))))))))))))))))
   0(0(3(0(0(2(3(2(1(2(1(3(2(0(0(3(1(2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1))))))))))))))))))
   0(0(3(1(3(2(3(2(3(1(2(0(3(0(3(2(1(3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
   0(1(0(0(2(2(3(1(3(3(3(2(0(0(1(3(3(0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1))))))))))))))))))
   0(1(1(0(2(1(0(1(3(2(2(0(0(2(0(2(3(3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1))))))))))))))))))
   0(1(1(3(0(0(0(1(3(1(3(1(3(3(0(0(2(3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1))))))))))))))))))
   0(1(1(3(0(3(3(2(0(1(3(0(1(3(2(0(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1))))))))))))))))))
   0(1(3(0(0(0(1(3(3(1(2(3(2(3(3(0(0(0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1))))))))))))))))))
   0(1(3(1(3(0(2(3(3(3(2(2(3(2(2(0(0(0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1))))))))))))))))))
   0(1(3(2(0(3(0(2(0(0(3(0(3(3(1(0(1(3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(0(1(0(0(2(3(1(3(0(1(3(3(2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1))))))))))))))))))
   0(2(3(2(3(2(0(0(3(3(2(1(3(2(3(0(2(0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1))))))))))))))))))
   0(3(0(0(1(2(0(3(1(3(0(1(3(1(0(1(3(3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1))))))))))))))))))
   0(3(0(0(2(0(0(2(3(3(0(2(1(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1))))))))))))))))))
   0(3(0(2(0(0(3(1(2(0(1(3(3(1(2(1(1(3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1))))))))))))))))))
   0(3(2(3(3(0(0(1(0(2(3(2(3(3(3(1(1(2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1))))))))))))))))))
   1(0(0(1(1(3(3(3(2(2(0(2(3(3(1(3(3(3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1))))))))))))))))))
   1(0(0(3(2(0(2(0(0(1(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1))))))))))))))))))
   1(0(1(3(2(3(2(2(0(2(0(1(3(0(0(2(2(1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1))))))))))))))))))
   1(0(2(0(0(0(3(1(3(0(1(2(0(1(3(0(2(0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1))))))))))))))))))
   1(0(2(3(0(1(3(1(3(3(3(0(1(2(0(0(2(0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1))))))))))))))))))
   1(0(2(3(1(1(1(1(2(3(1(2(0(1(0(3(2(0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1))))))))))))))))))
   1(0(2(3(2(2(1(2(3(0(2(2(3(1(3(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
   1(1(0(2(1(2(3(1(0(2(2(3(2(3(2(0(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1))))))))))))))))))
   1(1(1(1(0(3(1(2(0(1(0(0(2(3(2(1(3(0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1))))))))))))))))))
   1(1(1(3(1(1(0(2(2(2(3(2(0(1(3(0(1(2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
   1(1(2(0(0(1(1(2(3(0(2(1(2(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
   1(1(3(1(3(1(3(3(0(3(2(0(3(1(0(1(2(0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1))))))))))))))))))
   1(1(3(2(1(3(0(0(2(3(1(1(3(2(2(1(3(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1))))))))))))))))))
   1(2(0(0(1(0(1(3(0(3(3(3(1(3(2(3(0(3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1))))))))))))))))))
   1(2(2(3(0(2(3(3(3(2(0(1(0(0(2(1(2(3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
   1(2(3(0(2(0(2(3(2(0(0(1(0(3(0(0(1(3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1))))))))))))))))))
   1(3(0(0(0(1(1(1(1(2(2(3(3(0(1(2(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1))))))))))))))))))
   1(3(0(0(3(1(1(1(3(1(1(2(0(2(1(3(3(2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
   1(3(0(1(2(0(1(0(3(0(3(1(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
   1(3(0(3(3(0(3(3(1(2(3(0(2(1(2(0(0(1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1))))))))))))))))))
   1(3(1(3(0(0(1(0(1(3(0(2(1(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
   1(3(1(3(1(2(3(2(3(2(2(3(1(1(0(1(1(0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
   1(3(1(3(3(0(0(2(3(2(3(1(2(2(2(2(1(3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1))))))))))))))))))
   1(3(1(3(3(3(3(0(0(1(3(1(2(3(2(3(3(3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
   1(3(2(0(0(0(2(2(2(2(3(2(1(3(1(1(0(3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1))))))))))))))))))
   1(3(2(0(1(3(2(1(0(0(2(2(2(1(1(1(3(3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1))))))))))))))))))
   1(3(2(1(2(1(2(3(0(1(0(3(3(1(0(2(0(0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1))))))))))))))))))
   1(3(2(2(1(0(0(2(1(0(1(3(1(3(0(3(1(3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1))))))))))))))))))
   1(3(3(1(3(0(3(3(1(3(1(3(3(1(2(3(2(3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1))))))))))))))))))
   2(0(0(1(3(1(0(1(1(2(1(1(3(2(1(1(3(0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1))))))))))))))))))
   2(0(1(0(2(0(1(3(1(3(3(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1))))))))))))))))))
   2(0(2(3(3(1(1(0(0(1(3(1(3(0(3(0(0(0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1))))))))))))))))))
   2(1(0(0(3(0(3(1(3(0(3(2(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
   2(1(0(1(3(2(0(0(0(3(2(3(0(2(0(2(2(2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1))))))))))))))))))
   2(1(0(2(2(0(2(1(3(1(2(1(1(1(0(2(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
   2(1(0(3(1(3(1(0(1(3(3(2(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1))))))))))))))))))
   2(1(2(3(2(3(2(1(1(2(2(1(2(0(1(3(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
   2(1(3(2(0(1(1(2(1(0(0(3(0(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
   2(3(0(0(0(1(1(0(2(2(2(2(2(0(3(1(3(0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1))))))))))))))))))
   3(0(0(0(1(3(3(2(1(3(2(3(1(3(0(2(3(1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
   3(0(0(2(0(2(0(0(1(3(0(3(3(2(0(2(3(3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1))))))))))))))))))
   3(0(0(2(0(3(1(0(1(0(0(2(3(2(0(0(3(0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1))))))))))))))))))
   3(0(0(2(1(3(1(3(1(2(3(0(3(1(0(0(2(0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(3(0(2(3(0(0(2(3(0(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1))))))))))))))))))
   3(0(1(3(0(0(3(3(2(3(1(3(2(0(2(3(3(2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1))))))))))))))))))
   3(0(2(2(3(3(2(0(3(0(2(2(0(1(3(0(2(2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1))))))))))))))))))
   3(0(3(1(2(3(2(1(0(1(3(3(0(3(3(2(1(3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1))))))))))))))))))
   3(0(3(1(3(1(3(2(2(3(2(2(2(0(1(3(1(2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
   3(0(3(3(2(3(2(3(0(2(0(0(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1))))))))))))))))))
   3(1(0(3(1(3(3(3(0(0(1(0(3(3(1(3(0(3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
   3(1(1(2(2(3(0(0(0(1(1(3(2(3(1(0(2(3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(x1))))))))))))))))))
   3(1(1(3(3(1(3(3(1(0(3(0(0(3(0(0(0(1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1))))))))))))))))))
   3(1(2(0(0(2(3(0(0(2(3(3(2(0(0(2(0(0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1))))))))))))))))))
   3(1(3(2(0(3(0(2(1(3(2(1(3(1(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1))))))))))))))))))
   3(1(3(3(1(3(1(1(2(3(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1))))))))))))))))))
   3(1(3(3(2(3(2(1(3(0(1(1(3(3(3(0(0(3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1))))))))))))))))))
   3(2(0(3(1(3(0(1(1(3(0(0(0(3(0(3(1(3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1))))))))))))))))))
   3(2(3(1(2(0(1(2(3(1(1(3(3(3(3(3(0(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1))))))))))))))))))
   3(2(3(3(2(1(0(0(2(2(3(0(0(1(0(3(1(3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1))))))))))))))))))
   3(2(3(3(2(3(2(1(1(3(0(1(0(2(2(1(3(0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1))))))))))))))))))
   3(3(1(2(1(1(1(3(2(1(3(3(1(3(2(3(2(1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(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(3(1(3(1(0(0(2(0(2(1(3(2(3(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1))))))))))))))))))
   0(0(0(3(2(1(1(2(0(1(3(2(2(1(3(1(0(1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1))))))))))))))))))
   0(0(1(0(0(2(2(1(3(1(3(3(2(0(0(2(0(3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1))))))))))))))))))
   0(0(1(0(1(3(1(1(1(1(2(2(2(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1))))))))))))))))))
   0(0(3(0(0(2(3(2(1(2(1(3(2(0(0(3(1(2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1))))))))))))))))))
   0(0(3(1(3(2(3(2(3(1(2(0(3(0(3(2(1(3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
   0(1(0(0(2(2(3(1(3(3(3(2(0(0(1(3(3(0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1))))))))))))))))))
   0(1(1(0(2(1(0(1(3(2(2(0(0(2(0(2(3(3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1))))))))))))))))))
   0(1(1(3(0(0(0(1(3(1(3(1(3(3(0(0(2(3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1))))))))))))))))))
   0(1(1(3(0(3(3(2(0(1(3(0(1(3(2(0(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1))))))))))))))))))
   0(1(3(0(0(0(1(3(3(1(2(3(2(3(3(0(0(0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1))))))))))))))))))
   0(1(3(1(3(0(2(3(3(3(2(2(3(2(2(0(0(0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1))))))))))))))))))
   0(1(3(2(0(3(0(2(0(0(3(0(3(3(1(0(1(3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(0(1(0(0(2(3(1(3(0(1(3(3(2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1))))))))))))))))))
   0(2(3(2(3(2(0(0(3(3(2(1(3(2(3(0(2(0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1))))))))))))))))))
   0(3(0(0(1(2(0(3(1(3(0(1(3(1(0(1(3(3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1))))))))))))))))))
   0(3(0(0(2(0(0(2(3(3(0(2(1(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1))))))))))))))))))
   0(3(0(2(0(0(3(1(2(0(1(3(3(1(2(1(1(3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1))))))))))))))))))
   0(3(2(3(3(0(0(1(0(2(3(2(3(3(3(1(1(2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1))))))))))))))))))
   1(0(0(1(1(3(3(3(2(2(0(2(3(3(1(3(3(3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1))))))))))))))))))
   1(0(0(3(2(0(2(0(0(1(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1))))))))))))))))))
   1(0(1(3(2(3(2(2(0(2(0(1(3(0(0(2(2(1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1))))))))))))))))))
   1(0(2(0(0(0(3(1(3(0(1(2(0(1(3(0(2(0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1))))))))))))))))))
   1(0(2(3(0(1(3(1(3(3(3(0(1(2(0(0(2(0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1))))))))))))))))))
   1(0(2(3(1(1(1(1(2(3(1(2(0(1(0(3(2(0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1))))))))))))))))))
   1(0(2(3(2(2(1(2(3(0(2(2(3(1(3(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
   1(1(0(2(1(2(3(1(0(2(2(3(2(3(2(0(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1))))))))))))))))))
   1(1(1(1(0(3(1(2(0(1(0(0(2(3(2(1(3(0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1))))))))))))))))))
   1(1(1(3(1(1(0(2(2(2(3(2(0(1(3(0(1(2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
   1(1(2(0(0(1(1(2(3(0(2(1(2(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
   1(1(3(1(3(1(3(3(0(3(2(0(3(1(0(1(2(0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1))))))))))))))))))
   1(1(3(2(1(3(0(0(2(3(1(1(3(2(2(1(3(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1))))))))))))))))))
   1(2(0(0(1(0(1(3(0(3(3(3(1(3(2(3(0(3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1))))))))))))))))))
   1(2(2(3(0(2(3(3(3(2(0(1(0(0(2(1(2(3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
   1(2(3(0(2(0(2(3(2(0(0(1(0(3(0(0(1(3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1))))))))))))))))))
   1(3(0(0(0(1(1(1(1(2(2(3(3(0(1(2(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1))))))))))))))))))
   1(3(0(0(3(1(1(1(3(1(1(2(0(2(1(3(3(2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
   1(3(0(1(2(0(1(0(3(0(3(1(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
   1(3(0(3(3(0(3(3(1(2(3(0(2(1(2(0(0(1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1))))))))))))))))))
   1(3(1(3(0(0(1(0(1(3(0(2(1(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
   1(3(1(3(1(2(3(2(3(2(2(3(1(1(0(1(1(0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
   1(3(1(3(3(0(0(2(3(2(3(1(2(2(2(2(1(3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1))))))))))))))))))
   1(3(1(3(3(3(3(0(0(1(3(1(2(3(2(3(3(3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
   1(3(2(0(0(0(2(2(2(2(3(2(1(3(1(1(0(3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1))))))))))))))))))
   1(3(2(0(1(3(2(1(0(0(2(2(2(1(1(1(3(3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1))))))))))))))))))
   1(3(2(1(2(1(2(3(0(1(0(3(3(1(0(2(0(0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1))))))))))))))))))
   1(3(2(2(1(0(0(2(1(0(1(3(1(3(0(3(1(3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1))))))))))))))))))
   1(3(3(1(3(0(3(3(1(3(1(3(3(1(2(3(2(3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1))))))))))))))))))
   2(0(0(1(3(1(0(1(1(2(1(1(3(2(1(1(3(0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1))))))))))))))))))
   2(0(1(0(2(0(1(3(1(3(3(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1))))))))))))))))))
   2(0(2(3(3(1(1(0(0(1(3(1(3(0(3(0(0(0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1))))))))))))))))))
   2(1(0(0(3(0(3(1(3(0(3(2(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
   2(1(0(1(3(2(0(0(0(3(2(3(0(2(0(2(2(2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1))))))))))))))))))
   2(1(0(2(2(0(2(1(3(1(2(1(1(1(0(2(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
   2(1(0(3(1(3(1(0(1(3(3(2(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1))))))))))))))))))
   2(1(2(3(2(3(2(1(1(2(2(1(2(0(1(3(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
   2(1(3(2(0(1(1(2(1(0(0(3(0(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
   2(3(0(0(0(1(1(0(2(2(2(2(2(0(3(1(3(0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1))))))))))))))))))
   3(0(0(0(1(3(3(2(1(3(2(3(1(3(0(2(3(1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
   3(0(0(2(0(2(0(0(1(3(0(3(3(2(0(2(3(3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1))))))))))))))))))
   3(0(0(2(0(3(1(0(1(0(0(2(3(2(0(0(3(0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1))))))))))))))))))
   3(0(0(2(1(3(1(3(1(2(3(0(3(1(0(0(2(0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(3(0(2(3(0(0(2(3(0(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1))))))))))))))))))
   3(0(1(3(0(0(3(3(2(3(1(3(2(0(2(3(3(2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1))))))))))))))))))
   3(0(2(2(3(3(2(0(3(0(2(2(0(1(3(0(2(2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1))))))))))))))))))
   3(0(3(1(2(3(2(1(0(1(3(3(0(3(3(2(1(3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1))))))))))))))))))
   3(0(3(1(3(1(3(2(2(3(2(2(2(0(1(3(1(2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
   3(0(3(3(2(3(2(3(0(2(0(0(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1))))))))))))))))))
   3(1(0(3(1(3(3(3(0(0(1(0(3(3(1(3(0(3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
   3(1(1(2(2(3(0(0(0(1(1(3(2(3(1(0(2(3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(x1))))))))))))))))))
   3(1(1(3(3(1(3(3(1(0(3(0(0(3(0(0(0(1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1))))))))))))))))))
   3(1(2(0(0(2(3(0(0(2(3(3(2(0(0(2(0(0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1))))))))))))))))))
   3(1(3(2(0(3(0(2(1(3(2(1(3(1(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1))))))))))))))))))
   3(1(3(3(1(3(1(1(2(3(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1))))))))))))))))))
   3(1(3(3(2(3(2(1(3(0(1(1(3(3(3(0(0(3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1))))))))))))))))))
   3(2(0(3(1(3(0(1(1(3(0(0(0(3(0(3(1(3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1))))))))))))))))))
   3(2(3(1(2(0(1(2(3(1(1(3(3(3(3(3(0(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1))))))))))))))))))
   3(2(3(3(2(1(0(0(2(2(3(0(0(1(0(3(1(3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1))))))))))))))))))
   3(2(3(3(2(3(2(1(1(3(0(1(0(2(2(1(3(0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1))))))))))))))))))
   3(3(1(2(1(1(1(3(2(1(3(3(1(3(2(3(2(1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(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) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(6)
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(3(1(3(1(0(0(2(0(2(1(3(2(3(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1))))))))))))))))))
   0(0(0(3(2(1(1(2(0(1(3(2(2(1(3(1(0(1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1))))))))))))))))))
   0(0(1(0(0(2(2(1(3(1(3(3(2(0(0(2(0(3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1))))))))))))))))))
   0(0(1(0(1(3(1(1(1(1(2(2(2(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1))))))))))))))))))
   0(0(3(0(0(2(3(2(1(2(1(3(2(0(0(3(1(2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1))))))))))))))))))
   0(0(3(1(3(2(3(2(3(1(2(0(3(0(3(2(1(3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
   0(1(0(0(2(2(3(1(3(3(3(2(0(0(1(3(3(0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1))))))))))))))))))
   0(1(1(0(2(1(0(1(3(2(2(0(0(2(0(2(3(3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1))))))))))))))))))
   0(1(1(3(0(0(0(1(3(1(3(1(3(3(0(0(2(3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1))))))))))))))))))
   0(1(1(3(0(3(3(2(0(1(3(0(1(3(2(0(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1))))))))))))))))))
   0(1(3(0(0(0(1(3(3(1(2(3(2(3(3(0(0(0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1))))))))))))))))))
   0(1(3(1(3(0(2(3(3(3(2(2(3(2(2(0(0(0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1))))))))))))))))))
   0(1(3(2(0(3(0(2(0(0(3(0(3(3(1(0(1(3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(0(1(0(0(2(3(1(3(0(1(3(3(2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1))))))))))))))))))
   0(2(3(2(3(2(0(0(3(3(2(1(3(2(3(0(2(0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1))))))))))))))))))
   0(3(0(0(1(2(0(3(1(3(0(1(3(1(0(1(3(3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1))))))))))))))))))
   0(3(0(0(2(0(0(2(3(3(0(2(1(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1))))))))))))))))))
   0(3(0(2(0(0(3(1(2(0(1(3(3(1(2(1(1(3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1))))))))))))))))))
   0(3(2(3(3(0(0(1(0(2(3(2(3(3(3(1(1(2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1))))))))))))))))))
   1(0(0(1(1(3(3(3(2(2(0(2(3(3(1(3(3(3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1))))))))))))))))))
   1(0(0(3(2(0(2(0(0(1(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1))))))))))))))))))
   1(0(1(3(2(3(2(2(0(2(0(1(3(0(0(2(2(1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1))))))))))))))))))
   1(0(2(0(0(0(3(1(3(0(1(2(0(1(3(0(2(0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1))))))))))))))))))
   1(0(2(3(0(1(3(1(3(3(3(0(1(2(0(0(2(0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1))))))))))))))))))
   1(0(2(3(1(1(1(1(2(3(1(2(0(1(0(3(2(0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1))))))))))))))))))
   1(0(2(3(2(2(1(2(3(0(2(2(3(1(3(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
   1(1(0(2(1(2(3(1(0(2(2(3(2(3(2(0(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1))))))))))))))))))
   1(1(1(1(0(3(1(2(0(1(0(0(2(3(2(1(3(0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1))))))))))))))))))
   1(1(1(3(1(1(0(2(2(2(3(2(0(1(3(0(1(2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
   1(1(2(0(0(1(1(2(3(0(2(1(2(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
   1(1(3(1(3(1(3(3(0(3(2(0(3(1(0(1(2(0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1))))))))))))))))))
   1(1(3(2(1(3(0(0(2(3(1(1(3(2(2(1(3(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1))))))))))))))))))
   1(2(0(0(1(0(1(3(0(3(3(3(1(3(2(3(0(3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1))))))))))))))))))
   1(2(2(3(0(2(3(3(3(2(0(1(0(0(2(1(2(3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
   1(2(3(0(2(0(2(3(2(0(0(1(0(3(0(0(1(3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1))))))))))))))))))
   1(3(0(0(0(1(1(1(1(2(2(3(3(0(1(2(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1))))))))))))))))))
   1(3(0(0(3(1(1(1(3(1(1(2(0(2(1(3(3(2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
   1(3(0(1(2(0(1(0(3(0(3(1(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
   1(3(0(3(3(0(3(3(1(2(3(0(2(1(2(0(0(1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1))))))))))))))))))
   1(3(1(3(0(0(1(0(1(3(0(2(1(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
   1(3(1(3(1(2(3(2(3(2(2(3(1(1(0(1(1(0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
   1(3(1(3(3(0(0(2(3(2(3(1(2(2(2(2(1(3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1))))))))))))))))))
   1(3(1(3(3(3(3(0(0(1(3(1(2(3(2(3(3(3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
   1(3(2(0(0(0(2(2(2(2(3(2(1(3(1(1(0(3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1))))))))))))))))))
   1(3(2(0(1(3(2(1(0(0(2(2(2(1(1(1(3(3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1))))))))))))))))))
   1(3(2(1(2(1(2(3(0(1(0(3(3(1(0(2(0(0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1))))))))))))))))))
   1(3(2(2(1(0(0(2(1(0(1(3(1(3(0(3(1(3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1))))))))))))))))))
   1(3(3(1(3(0(3(3(1(3(1(3(3(1(2(3(2(3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1))))))))))))))))))
   2(0(0(1(3(1(0(1(1(2(1(1(3(2(1(1(3(0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1))))))))))))))))))
   2(0(1(0(2(0(1(3(1(3(3(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1))))))))))))))))))
   2(0(2(3(3(1(1(0(0(1(3(1(3(0(3(0(0(0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1))))))))))))))))))
   2(1(0(0(3(0(3(1(3(0(3(2(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
   2(1(0(1(3(2(0(0(0(3(2(3(0(2(0(2(2(2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1))))))))))))))))))
   2(1(0(2(2(0(2(1(3(1(2(1(1(1(0(2(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
   2(1(0(3(1(3(1(0(1(3(3(2(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1))))))))))))))))))
   2(1(2(3(2(3(2(1(1(2(2(1(2(0(1(3(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
   2(1(3(2(0(1(1(2(1(0(0(3(0(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
   2(3(0(0(0(1(1(0(2(2(2(2(2(0(3(1(3(0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1))))))))))))))))))
   3(0(0(0(1(3(3(2(1(3(2(3(1(3(0(2(3(1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
   3(0(0(2(0(2(0(0(1(3(0(3(3(2(0(2(3(3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1))))))))))))))))))
   3(0(0(2(0(3(1(0(1(0(0(2(3(2(0(0(3(0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1))))))))))))))))))
   3(0(0(2(1(3(1(3(1(2(3(0(3(1(0(0(2(0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(3(0(2(3(0(0(2(3(0(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1))))))))))))))))))
   3(0(1(3(0(0(3(3(2(3(1(3(2(0(2(3(3(2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1))))))))))))))))))
   3(0(2(2(3(3(2(0(3(0(2(2(0(1(3(0(2(2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1))))))))))))))))))
   3(0(3(1(2(3(2(1(0(1(3(3(0(3(3(2(1(3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1))))))))))))))))))
   3(0(3(1(3(1(3(2(2(3(2(2(2(0(1(3(1(2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
   3(0(3(3(2(3(2(3(0(2(0(0(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1))))))))))))))))))
   3(1(0(3(1(3(3(3(0(0(1(0(3(3(1(3(0(3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
   3(1(1(2(2(3(0(0(0(1(1(3(2(3(1(0(2(3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(x1))))))))))))))))))
   3(1(1(3(3(1(3(3(1(0(3(0(0(3(0(0(0(1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1))))))))))))))))))
   3(1(2(0(0(2(3(0(0(2(3(3(2(0(0(2(0(0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1))))))))))))))))))
   3(1(3(2(0(3(0(2(1(3(2(1(3(1(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1))))))))))))))))))
   3(1(3(3(1(3(1(1(2(3(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1))))))))))))))))))
   3(1(3(3(2(3(2(1(3(0(1(1(3(3(3(0(0(3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1))))))))))))))))))
   3(2(0(3(1(3(0(1(1(3(0(0(0(3(0(3(1(3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1))))))))))))))))))
   3(2(3(1(2(0(1(2(3(1(1(3(3(3(3(3(0(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1))))))))))))))))))
   3(2(3(3(2(1(0(0(2(2(3(0(0(1(0(3(1(3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1))))))))))))))))))
   3(2(3(3(2(3(2(1(1(3(0(1(0(2(2(1(3(0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1))))))))))))))))))
   3(3(1(2(1(1(1(3(2(1(3(3(1(3(2(3(2(1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(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) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(8)
Obligation:
TRS:
Rules:
0(0(0(3(1(3(1(0(0(2(0(2(1(3(2(3(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1))))))))))))))))))
0(0(0(3(2(1(1(2(0(1(3(2(2(1(3(1(0(1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1))))))))))))))))))
0(0(1(0(0(2(2(1(3(1(3(3(2(0(0(2(0(3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1))))))))))))))))))
0(0(1(0(1(3(1(1(1(1(2(2(2(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1))))))))))))))))))
0(0(3(0(0(2(3(2(1(2(1(3(2(0(0(3(1(2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1))))))))))))))))))
0(0(3(1(3(2(3(2(3(1(2(0(3(0(3(2(1(3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
0(1(0(0(2(2(3(1(3(3(3(2(0(0(1(3(3(0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1))))))))))))))))))
0(1(1(0(2(1(0(1(3(2(2(0(0(2(0(2(3(3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1))))))))))))))))))
0(1(1(3(0(0(0(1(3(1(3(1(3(3(0(0(2(3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1))))))))))))))))))
0(1(1(3(0(3(3(2(0(1(3(0(1(3(2(0(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1))))))))))))))))))
0(1(3(0(0(0(1(3(3(1(2(3(2(3(3(0(0(0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1))))))))))))))))))
0(1(3(1(3(0(2(3(3(3(2(2(3(2(2(0(0(0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1))))))))))))))))))
0(1(3(2(0(3(0(2(0(0(3(0(3(3(1(0(1(3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1))))))))))))))))))
0(2(0(1(3(0(1(0(0(2(3(1(3(0(1(3(3(2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1))))))))))))))))))
0(2(3(2(3(2(0(0(3(3(2(1(3(2(3(0(2(0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1))))))))))))))))))
0(3(0(0(1(2(0(3(1(3(0(1(3(1(0(1(3(3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1))))))))))))))))))
0(3(0(0(2(0(0(2(3(3(0(2(1(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1))))))))))))))))))
0(3(0(2(0(0(3(1(2(0(1(3(3(1(2(1(1(3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1))))))))))))))))))
0(3(2(3(3(0(0(1(0(2(3(2(3(3(3(1(1(2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1))))))))))))))))))
1(0(0(1(1(3(3(3(2(2(0(2(3(3(1(3(3(3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1))))))))))))))))))
1(0(0(3(2(0(2(0(0(1(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1))))))))))))))))))
1(0(1(3(2(3(2(2(0(2(0(1(3(0(0(2(2(1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1))))))))))))))))))
1(0(2(0(0(0(3(1(3(0(1(2(0(1(3(0(2(0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1))))))))))))))))))
1(0(2(3(0(1(3(1(3(3(3(0(1(2(0(0(2(0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1))))))))))))))))))
1(0(2(3(1(1(1(1(2(3(1(2(0(1(0(3(2(0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1))))))))))))))))))
1(0(2(3(2(2(1(2(3(0(2(2(3(1(3(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
1(1(0(2(1(2(3(1(0(2(2(3(2(3(2(0(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1))))))))))))))))))
1(1(1(1(0(3(1(2(0(1(0(0(2(3(2(1(3(0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1))))))))))))))))))
1(1(1(3(1(1(0(2(2(2(3(2(0(1(3(0(1(2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
1(1(2(0(0(1(1(2(3(0(2(1(2(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
1(1(3(1(3(1(3(3(0(3(2(0(3(1(0(1(2(0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1))))))))))))))))))
1(1(3(2(1(3(0(0(2(3(1(1(3(2(2(1(3(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1))))))))))))))))))
1(2(0(0(1(0(1(3(0(3(3(3(1(3(2(3(0(3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1))))))))))))))))))
1(2(2(3(0(2(3(3(3(2(0(1(0(0(2(1(2(3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
1(2(3(0(2(0(2(3(2(0(0(1(0(3(0(0(1(3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1))))))))))))))))))
1(3(0(0(0(1(1(1(1(2(2(3(3(0(1(2(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1))))))))))))))))))
1(3(0(0(3(1(1(1(3(1(1(2(0(2(1(3(3(2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
1(3(0(1(2(0(1(0(3(0(3(1(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
1(3(0(3(3(0(3(3(1(2(3(0(2(1(2(0(0(1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1))))))))))))))))))
1(3(1(3(0(0(1(0(1(3(0(2(1(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
1(3(1(3(1(2(3(2(3(2(2(3(1(1(0(1(1(0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
1(3(1(3(3(0(0(2(3(2(3(1(2(2(2(2(1(3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1))))))))))))))))))
1(3(1(3(3(3(3(0(0(1(3(1(2(3(2(3(3(3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
1(3(2(0(0(0(2(2(2(2(3(2(1(3(1(1(0(3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1))))))))))))))))))
1(3(2(0(1(3(2(1(0(0(2(2(2(1(1(1(3(3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1))))))))))))))))))
1(3(2(1(2(1(2(3(0(1(0(3(3(1(0(2(0(0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1))))))))))))))))))
1(3(2(2(1(0(0(2(1(0(1(3(1(3(0(3(1(3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1))))))))))))))))))
1(3(3(1(3(0(3(3(1(3(1(3(3(1(2(3(2(3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1))))))))))))))))))
2(0(0(1(3(1(0(1(1(2(1(1(3(2(1(1(3(0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1))))))))))))))))))
2(0(1(0(2(0(1(3(1(3(3(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1))))))))))))))))))
2(0(2(3(3(1(1(0(0(1(3(1(3(0(3(0(0(0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1))))))))))))))))))
2(1(0(0(3(0(3(1(3(0(3(2(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
2(1(0(1(3(2(0(0(0(3(2(3(0(2(0(2(2(2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1))))))))))))))))))
2(1(0(2(2(0(2(1(3(1(2(1(1(1(0(2(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
2(1(0(3(1(3(1(0(1(3(3(2(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1))))))))))))))))))
2(1(2(3(2(3(2(1(1(2(2(1(2(0(1(3(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
2(1(3(2(0(1(1(2(1(0(0(3(0(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
2(3(0(0(0(1(1(0(2(2(2(2(2(0(3(1(3(0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1))))))))))))))))))
3(0(0(0(1(3(3(2(1(3(2(3(1(3(0(2(3(1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
3(0(0(2(0(2(0(0(1(3(0(3(3(2(0(2(3(3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1))))))))))))))))))
3(0(0(2(0(3(1(0(1(0(0(2(3(2(0(0(3(0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1))))))))))))))))))
3(0(0(2(1(3(1(3(1(2(3(0(3(1(0(0(2(0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1))))))))))))))))))
3(0(1(0(3(0(2(3(0(0(2(3(0(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1))))))))))))))))))
3(0(1(3(0(0(3(3(2(3(1(3(2(0(2(3(3(2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1))))))))))))))))))
3(0(2(2(3(3(2(0(3(0(2(2(0(1(3(0(2(2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1))))))))))))))))))
3(0(3(1(2(3(2(1(0(1(3(3(0(3(3(2(1(3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1))))))))))))))))))
3(0(3(1(3(1(3(2(2(3(2(2(2(0(1(3(1(2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
3(0(3(3(2(3(2(3(0(2(0(0(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1))))))))))))))))))
3(1(0(3(1(3(3(3(0(0(1(0(3(3(1(3(0(3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
3(1(1(2(2(3(0(0(0(1(1(3(2(3(1(0(2(3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(x1))))))))))))))))))
3(1(1(3(3(1(3(3(1(0(3(0(0(3(0(0(0(1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1))))))))))))))))))
3(1(2(0(0(2(3(0(0(2(3(3(2(0(0(2(0(0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1))))))))))))))))))
3(1(3(2(0(3(0(2(1(3(2(1(3(1(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1))))))))))))))))))
3(1(3(3(1(3(1(1(2(3(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1))))))))))))))))))
3(1(3(3(2(3(2(1(3(0(1(1(3(3(3(0(0(3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1))))))))))))))))))
3(2(0(3(1(3(0(1(1(3(0(0(0(3(0(3(1(3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1))))))))))))))))))
3(2(3(1(2(0(1(2(3(1(1(3(3(3(3(3(0(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1))))))))))))))))))
3(2(3(3(2(1(0(0(2(2(3(0(0(1(0(3(1(3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1))))))))))))))))))
3(2(3(3(2(3(2(1(1(3(0(1(0(2(2(1(3(0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1))))))))))))))))))
3(3(1(2(1(1(1(3(2(1(3(3(1(3(2(3(2(1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(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 :: 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
3 :: 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
1 :: 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
2 :: 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 0:3:2:1: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 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
hole_0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_21_4 :: 0:3:2:1: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

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

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

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(3(1(3(1(0(0(2(0(2(1(3(2(3(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1))))))))))))))))))
0(0(0(3(2(1(1(2(0(1(3(2(2(1(3(1(0(1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1))))))))))))))))))
0(0(1(0(0(2(2(1(3(1(3(3(2(0(0(2(0(3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1))))))))))))))))))
0(0(1(0(1(3(1(1(1(1(2(2(2(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1))))))))))))))))))
0(0(3(0(0(2(3(2(1(2(1(3(2(0(0(3(1(2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1))))))))))))))))))
0(0(3(1(3(2(3(2(3(1(2(0(3(0(3(2(1(3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
0(1(0(0(2(2(3(1(3(3(3(2(0(0(1(3(3(0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1))))))))))))))))))
0(1(1(0(2(1(0(1(3(2(2(0(0(2(0(2(3(3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1))))))))))))))))))
0(1(1(3(0(0(0(1(3(1(3(1(3(3(0(0(2(3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1))))))))))))))))))
0(1(1(3(0(3(3(2(0(1(3(0(1(3(2(0(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1))))))))))))))))))
0(1(3(0(0(0(1(3(3(1(2(3(2(3(3(0(0(0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1))))))))))))))))))
0(1(3(1(3(0(2(3(3(3(2(2(3(2(2(0(0(0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1))))))))))))))))))
0(1(3(2(0(3(0(2(0(0(3(0(3(3(1(0(1(3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1))))))))))))))))))
0(2(0(1(3(0(1(0(0(2(3(1(3(0(1(3(3(2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1))))))))))))))))))
0(2(3(2(3(2(0(0(3(3(2(1(3(2(3(0(2(0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1))))))))))))))))))
0(3(0(0(1(2(0(3(1(3(0(1(3(1(0(1(3(3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1))))))))))))))))))
0(3(0(0(2(0(0(2(3(3(0(2(1(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1))))))))))))))))))
0(3(0(2(0(0(3(1(2(0(1(3(3(1(2(1(1(3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1))))))))))))))))))
0(3(2(3(3(0(0(1(0(2(3(2(3(3(3(1(1(2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1))))))))))))))))))
1(0(0(1(1(3(3(3(2(2(0(2(3(3(1(3(3(3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1))))))))))))))))))
1(0(0(3(2(0(2(0(0(1(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1))))))))))))))))))
1(0(1(3(2(3(2(2(0(2(0(1(3(0(0(2(2(1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1))))))))))))))))))
1(0(2(0(0(0(3(1(3(0(1(2(0(1(3(0(2(0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1))))))))))))))))))
1(0(2(3(0(1(3(1(3(3(3(0(1(2(0(0(2(0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1))))))))))))))))))
1(0(2(3(1(1(1(1(2(3(1(2(0(1(0(3(2(0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1))))))))))))))))))
1(0(2(3(2(2(1(2(3(0(2(2(3(1(3(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
1(1(0(2(1(2(3(1(0(2(2(3(2(3(2(0(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1))))))))))))))))))
1(1(1(1(0(3(1(2(0(1(0(0(2(3(2(1(3(0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1))))))))))))))))))
1(1(1(3(1(1(0(2(2(2(3(2(0(1(3(0(1(2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
1(1(2(0(0(1(1(2(3(0(2(1(2(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
1(1(3(1(3(1(3(3(0(3(2(0(3(1(0(1(2(0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1))))))))))))))))))
1(1(3(2(1(3(0(0(2(3(1(1(3(2(2(1(3(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1))))))))))))))))))
1(2(0(0(1(0(1(3(0(3(3(3(1(3(2(3(0(3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1))))))))))))))))))
1(2(2(3(0(2(3(3(3(2(0(1(0(0(2(1(2(3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
1(2(3(0(2(0(2(3(2(0(0(1(0(3(0(0(1(3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1))))))))))))))))))
1(3(0(0(0(1(1(1(1(2(2(3(3(0(1(2(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1))))))))))))))))))
1(3(0(0(3(1(1(1(3(1(1(2(0(2(1(3(3(2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
1(3(0(1(2(0(1(0(3(0(3(1(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
1(3(0(3(3(0(3(3(1(2(3(0(2(1(2(0(0(1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1))))))))))))))))))
1(3(1(3(0(0(1(0(1(3(0(2(1(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
1(3(1(3(1(2(3(2(3(2(2(3(1(1(0(1(1(0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
1(3(1(3(3(0(0(2(3(2(3(1(2(2(2(2(1(3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1))))))))))))))))))
1(3(1(3(3(3(3(0(0(1(3(1(2(3(2(3(3(3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
1(3(2(0(0(0(2(2(2(2(3(2(1(3(1(1(0(3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1))))))))))))))))))
1(3(2(0(1(3(2(1(0(0(2(2(2(1(1(1(3(3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1))))))))))))))))))
1(3(2(1(2(1(2(3(0(1(0(3(3(1(0(2(0(0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1))))))))))))))))))
1(3(2(2(1(0(0(2(1(0(1(3(1(3(0(3(1(3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1))))))))))))))))))
1(3(3(1(3(0(3(3(1(3(1(3(3(1(2(3(2(3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1))))))))))))))))))
2(0(0(1(3(1(0(1(1(2(1(1(3(2(1(1(3(0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1))))))))))))))))))
2(0(1(0(2(0(1(3(1(3(3(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1))))))))))))))))))
2(0(2(3(3(1(1(0(0(1(3(1(3(0(3(0(0(0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1))))))))))))))))))
2(1(0(0(3(0(3(1(3(0(3(2(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
2(1(0(1(3(2(0(0(0(3(2(3(0(2(0(2(2(2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1))))))))))))))))))
2(1(0(2(2(0(2(1(3(1(2(1(1(1(0(2(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
2(1(0(3(1(3(1(0(1(3(3(2(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1))))))))))))))))))
2(1(2(3(2(3(2(1(1(2(2(1(2(0(1(3(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
2(1(3(2(0(1(1(2(1(0(0(3(0(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
2(3(0(0(0(1(1(0(2(2(2(2(2(0(3(1(3(0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1))))))))))))))))))
3(0(0(0(1(3(3(2(1(3(2(3(1(3(0(2(3(1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
3(0(0(2(0(2(0(0(1(3(0(3(3(2(0(2(3(3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1))))))))))))))))))
3(0(0(2(0(3(1(0(1(0(0(2(3(2(0(0(3(0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1))))))))))))))))))
3(0(0(2(1(3(1(3(1(2(3(0(3(1(0(0(2(0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1))))))))))))))))))
3(0(1(0(3(0(2(3(0(0(2(3(0(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1))))))))))))))))))
3(0(1(3(0(0(3(3(2(3(1(3(2(0(2(3(3(2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1))))))))))))))))))
3(0(2(2(3(3(2(0(3(0(2(2(0(1(3(0(2(2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1))))))))))))))))))
3(0(3(1(2(3(2(1(0(1(3(3(0(3(3(2(1(3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1))))))))))))))))))
3(0(3(1(3(1(3(2(2(3(2(2(2(0(1(3(1(2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
3(0(3(3(2(3(2(3(0(2(0(0(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1))))))))))))))))))
3(1(0(3(1(3(3(3(0(0(1(0(3(3(1(3(0(3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
3(1(1(2(2(3(0(0(0(1(1(3(2(3(1(0(2(3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(x1))))))))))))))))))
3(1(1(3(3(1(3(3(1(0(3(0(0(3(0(0(0(1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1))))))))))))))))))
3(1(2(0(0(2(3(0(0(2(3(3(2(0(0(2(0(0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1))))))))))))))))))
3(1(3(2(0(3(0(2(1(3(2(1(3(1(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1))))))))))))))))))
3(1(3(3(1(3(1(1(2(3(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1))))))))))))))))))
3(1(3(3(2(3(2(1(3(0(1(1(3(3(3(0(0(3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1))))))))))))))))))
3(2(0(3(1(3(0(1(1(3(0(0(0(3(0(3(1(3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1))))))))))))))))))
3(2(3(1(2(0(1(2(3(1(1(3(3(3(3(3(0(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1))))))))))))))))))
3(2(3(3(2(1(0(0(2(2(3(0(0(1(0(3(1(3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1))))))))))))))))))
3(2(3(3(2(3(2(1(1(3(0(1(0(2(2(1(3(0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1))))))))))))))))))
3(3(1(2(1(1(1(3(2(1(3(3(1(3(2(3(2(1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(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 :: 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
3 :: 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
1 :: 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
2 :: 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 0:3:2:1: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 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_2
hole_0:3:2:1:encArg:encode_0:encode_3:encode_1:encode_21_4 :: 0:3:2:1: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:
2, 0, 3, 1, encArg

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

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

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

(12)
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(3(1(3(1(0(0(2(0(2(1(3(2(3(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1))))))))))))))))))
   0(0(0(3(2(1(1(2(0(1(3(2(2(1(3(1(0(1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1))))))))))))))))))
   0(0(1(0(0(2(2(1(3(1(3(3(2(0(0(2(0(3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1))))))))))))))))))
   0(0(1(0(1(3(1(1(1(1(2(2(2(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1))))))))))))))))))
   0(0(3(0(0(2(3(2(1(2(1(3(2(0(0(3(1(2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1))))))))))))))))))
   0(0(3(1(3(2(3(2(3(1(2(0(3(0(3(2(1(3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
   0(1(0(0(2(2(3(1(3(3(3(2(0(0(1(3(3(0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1))))))))))))))))))
   0(1(1(0(2(1(0(1(3(2(2(0(0(2(0(2(3(3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1))))))))))))))))))
   0(1(1(3(0(0(0(1(3(1(3(1(3(3(0(0(2(3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1))))))))))))))))))
   0(1(1(3(0(3(3(2(0(1(3(0(1(3(2(0(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1))))))))))))))))))
   0(1(3(0(0(0(1(3(3(1(2(3(2(3(3(0(0(0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1))))))))))))))))))
   0(1(3(1(3(0(2(3(3(3(2(2(3(2(2(0(0(0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1))))))))))))))))))
   0(1(3(2(0(3(0(2(0(0(3(0(3(3(1(0(1(3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(0(1(0(0(2(3(1(3(0(1(3(3(2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1))))))))))))))))))
   0(2(3(2(3(2(0(0(3(3(2(1(3(2(3(0(2(0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1))))))))))))))))))
   0(3(0(0(1(2(0(3(1(3(0(1(3(1(0(1(3(3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1))))))))))))))))))
   0(3(0(0(2(0(0(2(3(3(0(2(1(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1))))))))))))))))))
   0(3(0(2(0(0(3(1(2(0(1(3(3(1(2(1(1(3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1))))))))))))))))))
   0(3(2(3(3(0(0(1(0(2(3(2(3(3(3(1(1(2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1))))))))))))))))))
   1(0(0(1(1(3(3(3(2(2(0(2(3(3(1(3(3(3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1))))))))))))))))))
   1(0(0(3(2(0(2(0(0(1(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1))))))))))))))))))
   1(0(1(3(2(3(2(2(0(2(0(1(3(0(0(2(2(1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1))))))))))))))))))
   1(0(2(0(0(0(3(1(3(0(1(2(0(1(3(0(2(0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1))))))))))))))))))
   1(0(2(3(0(1(3(1(3(3(3(0(1(2(0(0(2(0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1))))))))))))))))))
   1(0(2(3(1(1(1(1(2(3(1(2(0(1(0(3(2(0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1))))))))))))))))))
   1(0(2(3(2(2(1(2(3(0(2(2(3(1(3(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
   1(1(0(2(1(2(3(1(0(2(2(3(2(3(2(0(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1))))))))))))))))))
   1(1(1(1(0(3(1(2(0(1(0(0(2(3(2(1(3(0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1))))))))))))))))))
   1(1(1(3(1(1(0(2(2(2(3(2(0(1(3(0(1(2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
   1(1(2(0(0(1(1(2(3(0(2(1(2(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
   1(1(3(1(3(1(3(3(0(3(2(0(3(1(0(1(2(0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1))))))))))))))))))
   1(1(3(2(1(3(0(0(2(3(1(1(3(2(2(1(3(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1))))))))))))))))))
   1(2(0(0(1(0(1(3(0(3(3(3(1(3(2(3(0(3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1))))))))))))))))))
   1(2(2(3(0(2(3(3(3(2(0(1(0(0(2(1(2(3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
   1(2(3(0(2(0(2(3(2(0(0(1(0(3(0(0(1(3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1))))))))))))))))))
   1(3(0(0(0(1(1(1(1(2(2(3(3(0(1(2(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1))))))))))))))))))
   1(3(0(0(3(1(1(1(3(1(1(2(0(2(1(3(3(2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
   1(3(0(1(2(0(1(0(3(0(3(1(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
   1(3(0(3(3(0(3(3(1(2(3(0(2(1(2(0(0(1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1))))))))))))))))))
   1(3(1(3(0(0(1(0(1(3(0(2(1(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
   1(3(1(3(1(2(3(2(3(2(2(3(1(1(0(1(1(0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
   1(3(1(3(3(0(0(2(3(2(3(1(2(2(2(2(1(3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1))))))))))))))))))
   1(3(1(3(3(3(3(0(0(1(3(1(2(3(2(3(3(3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
   1(3(2(0(0(0(2(2(2(2(3(2(1(3(1(1(0(3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1))))))))))))))))))
   1(3(2(0(1(3(2(1(0(0(2(2(2(1(1(1(3(3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1))))))))))))))))))
   1(3(2(1(2(1(2(3(0(1(0(3(3(1(0(2(0(0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1))))))))))))))))))
   1(3(2(2(1(0(0(2(1(0(1(3(1(3(0(3(1(3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1))))))))))))))))))
   1(3(3(1(3(0(3(3(1(3(1(3(3(1(2(3(2(3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1))))))))))))))))))
   2(0(0(1(3(1(0(1(1(2(1(1(3(2(1(1(3(0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1))))))))))))))))))
   2(0(1(0(2(0(1(3(1(3(3(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1))))))))))))))))))
   2(0(2(3(3(1(1(0(0(1(3(1(3(0(3(0(0(0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1))))))))))))))))))
   2(1(0(0(3(0(3(1(3(0(3(2(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
   2(1(0(1(3(2(0(0(0(3(2(3(0(2(0(2(2(2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1))))))))))))))))))
   2(1(0(2(2(0(2(1(3(1(2(1(1(1(0(2(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
   2(1(0(3(1(3(1(0(1(3(3(2(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1))))))))))))))))))
   2(1(2(3(2(3(2(1(1(2(2(1(2(0(1(3(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
   2(1(3(2(0(1(1(2(1(0(0(3(0(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
   2(3(0(0(0(1(1(0(2(2(2(2(2(0(3(1(3(0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1))))))))))))))))))
   3(0(0(0(1(3(3(2(1(3(2(3(1(3(0(2(3(1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
   3(0(0(2(0(2(0(0(1(3(0(3(3(2(0(2(3(3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1))))))))))))))))))
   3(0(0(2(0(3(1(0(1(0(0(2(3(2(0(0(3(0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1))))))))))))))))))
   3(0(0(2(1(3(1(3(1(2(3(0(3(1(0(0(2(0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(3(0(2(3(0(0(2(3(0(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1))))))))))))))))))
   3(0(1(3(0(0(3(3(2(3(1(3(2(0(2(3(3(2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1))))))))))))))))))
   3(0(2(2(3(3(2(0(3(0(2(2(0(1(3(0(2(2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1))))))))))))))))))
   3(0(3(1(2(3(2(1(0(1(3(3(0(3(3(2(1(3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1))))))))))))))))))
   3(0(3(1(3(1(3(2(2(3(2(2(2(0(1(3(1(2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
   3(0(3(3(2(3(2(3(0(2(0(0(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1))))))))))))))))))
   3(1(0(3(1(3(3(3(0(0(1(0(3(3(1(3(0(3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
   3(1(1(2(2(3(0(0(0(1(1(3(2(3(1(0(2(3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(x1))))))))))))))))))
   3(1(1(3(3(1(3(3(1(0(3(0(0(3(0(0(0(1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1))))))))))))))))))
   3(1(2(0(0(2(3(0(0(2(3(3(2(0(0(2(0(0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1))))))))))))))))))
   3(1(3(2(0(3(0(2(1(3(2(1(3(1(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1))))))))))))))))))
   3(1(3(3(1(3(1(1(2(3(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1))))))))))))))))))
   3(1(3(3(2(3(2(1(3(0(1(1(3(3(3(0(0(3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1))))))))))))))))))
   3(2(0(3(1(3(0(1(1(3(0(0(0(3(0(3(1(3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1))))))))))))))))))
   3(2(3(1(2(0(1(2(3(1(1(3(3(3(3(3(0(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1))))))))))))))))))
   3(2(3(3(2(1(0(0(2(2(3(0(0(1(0(3(1(3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1))))))))))))))))))
   3(2(3(3(2(3(2(1(1(3(0(1(0(2(2(1(3(0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1))))))))))))))))))
   3(3(1(2(1(1(1(3(2(1(3(3(1(3(2(3(2(1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(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
----------------------------------------

(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(3(1(3(1(0(0(2(0(2(1(3(2(3(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1))))))))))))))))))
   0(0(0(3(2(1(1(2(0(1(3(2(2(1(3(1(0(1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1))))))))))))))))))
   0(0(1(0(0(2(2(1(3(1(3(3(2(0(0(2(0(3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1))))))))))))))))))
   0(0(1(0(1(3(1(1(1(1(2(2(2(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1))))))))))))))))))
   0(0(3(0(0(2(3(2(1(2(1(3(2(0(0(3(1(2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1))))))))))))))))))
   0(0(3(1(3(2(3(2(3(1(2(0(3(0(3(2(1(3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
   0(1(0(0(2(2(3(1(3(3(3(2(0(0(1(3(3(0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1))))))))))))))))))
   0(1(1(0(2(1(0(1(3(2(2(0(0(2(0(2(3(3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1))))))))))))))))))
   0(1(1(3(0(0(0(1(3(1(3(1(3(3(0(0(2(3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1))))))))))))))))))
   0(1(1(3(0(3(3(2(0(1(3(0(1(3(2(0(0(3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1))))))))))))))))))
   0(1(3(0(0(0(1(3(3(1(2(3(2(3(3(0(0(0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1))))))))))))))))))
   0(1(3(1(3(0(2(3(3(3(2(2(3(2(2(0(0(0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1))))))))))))))))))
   0(1(3(2(0(3(0(2(0(0(3(0(3(3(1(0(1(3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1))))))))))))))))))
   0(2(0(1(3(0(1(0(0(2(3(1(3(0(1(3(3(2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1))))))))))))))))))
   0(2(3(2(3(2(0(0(3(3(2(1(3(2(3(0(2(0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1))))))))))))))))))
   0(3(0(0(1(2(0(3(1(3(0(1(3(1(0(1(3(3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1))))))))))))))))))
   0(3(0(0(2(0(0(2(3(3(0(2(1(3(0(3(2(2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1))))))))))))))))))
   0(3(0(2(0(0(3(1(2(0(1(3(3(1(2(1(1(3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1))))))))))))))))))
   0(3(2(3(3(0(0(1(0(2(3(2(3(3(3(1(1(2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1))))))))))))))))))
   1(0(0(1(1(3(3(3(2(2(0(2(3(3(1(3(3(3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1))))))))))))))))))
   1(0(0(3(2(0(2(0(0(1(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1))))))))))))))))))
   1(0(1(3(2(3(2(2(0(2(0(1(3(0(0(2(2(1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1))))))))))))))))))
   1(0(2(0(0(0(3(1(3(0(1(2(0(1(3(0(2(0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1))))))))))))))))))
   1(0(2(3(0(1(3(1(3(3(3(0(1(2(0(0(2(0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1))))))))))))))))))
   1(0(2(3(1(1(1(1(2(3(1(2(0(1(0(3(2(0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1))))))))))))))))))
   1(0(2(3(2(2(1(2(3(0(2(2(3(1(3(0(3(0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
   1(1(0(2(1(2(3(1(0(2(2(3(2(3(2(0(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1))))))))))))))))))
   1(1(1(1(0(3(1(2(0(1(0(0(2(3(2(1(3(0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1))))))))))))))))))
   1(1(1(3(1(1(0(2(2(2(3(2(0(1(3(0(1(2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
   1(1(2(0(0(1(1(2(3(0(2(1(2(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
   1(1(3(1(3(1(3(3(0(3(2(0(3(1(0(1(2(0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1))))))))))))))))))
   1(1(3(2(1(3(0(0(2(3(1(1(3(2(2(1(3(2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1))))))))))))))))))
   1(2(0(0(1(0(1(3(0(3(3(3(1(3(2(3(0(3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1))))))))))))))))))
   1(2(2(3(0(2(3(3(3(2(0(1(0(0(2(1(2(3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
   1(2(3(0(2(0(2(3(2(0(0(1(0(3(0(0(1(3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1))))))))))))))))))
   1(3(0(0(0(1(1(1(1(2(2(3(3(0(1(2(0(3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1))))))))))))))))))
   1(3(0(0(3(1(1(1(3(1(1(2(0(2(1(3(3(2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
   1(3(0(1(2(0(1(0(3(0(3(1(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
   1(3(0(3(3(0(3(3(1(2(3(0(2(1(2(0(0(1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1))))))))))))))))))
   1(3(1(3(0(0(1(0(1(3(0(2(1(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
   1(3(1(3(1(2(3(2(3(2(2(3(1(1(0(1(1(0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
   1(3(1(3(3(0(0(2(3(2(3(1(2(2(2(2(1(3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1))))))))))))))))))
   1(3(1(3(3(3(3(0(0(1(3(1(2(3(2(3(3(3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
   1(3(2(0(0(0(2(2(2(2(3(2(1(3(1(1(0(3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1))))))))))))))))))
   1(3(2(0(1(3(2(1(0(0(2(2(2(1(1(1(3(3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1))))))))))))))))))
   1(3(2(1(2(1(2(3(0(1(0(3(3(1(0(2(0(0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1))))))))))))))))))
   1(3(2(2(1(0(0(2(1(0(1(3(1(3(0(3(1(3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1))))))))))))))))))
   1(3(3(1(3(0(3(3(1(3(1(3(3(1(2(3(2(3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1))))))))))))))))))
   2(0(0(1(3(1(0(1(1(2(1(1(3(2(1(1(3(0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1))))))))))))))))))
   2(0(1(0(2(0(1(3(1(3(3(0(1(0(2(3(0(3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1))))))))))))))))))
   2(0(2(3(3(1(1(0(0(1(3(1(3(0(3(0(0(0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1))))))))))))))))))
   2(1(0(0(3(0(3(1(3(0(3(2(2(0(2(3(3(3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
   2(1(0(1(3(2(0(0(0(3(2(3(0(2(0(2(2(2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1))))))))))))))))))
   2(1(0(2(2(0(2(1(3(1(2(1(1(1(0(2(1(2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
   2(1(0(3(1(3(1(0(1(3(3(2(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1))))))))))))))))))
   2(1(2(3(2(3(2(1(1(2(2(1(2(0(1(3(2(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
   2(1(3(2(0(1(1(2(1(0(0(3(0(2(1(3(1(3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
   2(3(0(0(0(1(1(0(2(2(2(2(2(0(3(1(3(0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1))))))))))))))))))
   3(0(0(0(1(3(3(2(1(3(2(3(1(3(0(2(3(1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
   3(0(0(2(0(2(0(0(1(3(0(3(3(2(0(2(3(3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1))))))))))))))))))
   3(0(0(2(0(3(1(0(1(0(0(2(3(2(0(0(3(0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1))))))))))))))))))
   3(0(0(2(1(3(1(3(1(2(3(0(3(1(0(0(2(0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1))))))))))))))))))
   3(0(1(0(3(0(2(3(0(0(2(3(0(2(3(3(0(0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1))))))))))))))))))
   3(0(1(3(0(0(3(3(2(3(1(3(2(0(2(3(3(2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1))))))))))))))))))
   3(0(2(2(3(3(2(0(3(0(2(2(0(1(3(0(2(2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1))))))))))))))))))
   3(0(3(1(2(3(2(1(0(1(3(3(0(3(3(2(1(3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1))))))))))))))))))
   3(0(3(1(3(1(3(2(2(3(2(2(2(0(1(3(1(2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
   3(0(3(3(2(3(2(3(0(2(0(0(3(1(3(1(2(0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1))))))))))))))))))
   3(1(0(3(1(3(3(3(0(0(1(0(3(3(1(3(0(3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
   3(1(1(2(2(3(0(0(0(1(1(3(2(3(1(0(2(3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(x1))))))))))))))))))
   3(1(1(3(3(1(3(3(1(0(3(0(0(3(0(0(0(1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1))))))))))))))))))
   3(1(2(0(0(2(3(0(0(2(3(3(2(0(0(2(0(0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1))))))))))))))))))
   3(1(3(2(0(3(0(2(1(3(2(1(3(1(2(1(2(0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1))))))))))))))))))
   3(1(3(3(1(3(1(1(2(3(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1))))))))))))))))))
   3(1(3(3(2(3(2(1(3(0(1(1(3(3(3(0(0(3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1))))))))))))))))))
   3(2(0(3(1(3(0(1(1(3(0(0(0(3(0(3(1(3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1))))))))))))))))))
   3(2(3(1(2(0(1(2(3(1(1(3(3(3(3(3(0(0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1))))))))))))))))))
   3(2(3(3(2(1(0(0(2(2(3(0(0(1(0(3(1(3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1))))))))))))))))))
   3(2(3(3(2(3(2(1(1(3(0(1(0(2(2(1(3(0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1))))))))))))))))))
   3(3(1(2(1(1(1(3(2(1(3(3(1(3(2(3(2(1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(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_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
   0(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
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   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(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_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1))))))))))))))))))
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1))))))))))))))))))
   0(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(x1))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(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_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(x1)))))))))))))))))) [1]
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(x1)))))))))))))))))) [1]
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x1)))))))))))))))))) [1]
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(x1)))))))))))))))))) [1]
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(x1)))))))))))))))))) [1]
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(x1)))))))))))))))))) [1]
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(x1)))))))))))))))))) [1]
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(x1)))))))))))))))))) [1]
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(x1)))))))))))))))))) [1]
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(x1)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(x1)))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x1)))))))))))))))))) [1]
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(x1)))))))))))))))))) [1]
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(x1)))))))))))))))))) [1]
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(x1)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(x1)))))))))))))))))) [1]
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(x1)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(x1)))))))))))))))))) [1]
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(x1)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(x1)))))))))))))))))) [1]
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(x1)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(x1)))))))))))))))))) [1]
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(x1)))))))))))))))))) [1]
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(x1)))))))))))))))))) [1]
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(x1)))))))))))))))))) [1]
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(x1)))))))))))))))))) [1]
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(x1)))))))))))))))))) [1]
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(x1)))))))))))))))))) [1]
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(x1)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(x1)))))))))))))))))) [1]
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(x1)))))))))))))))))) [1]
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(x1)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(x1)))))))))))))))))) [1]
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(x1)))))))))))))))))) [1]
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(x1)))))))))))))))))) [1]
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(x1)))))))))))))))))) [1]
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(x1)))))))))))))))))) [1]
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(x1)))))))))))))))))) [1]
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(x1)))))))))))))))))) [1]
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(x1)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(x1)))))))))))))))))) [1]
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(x1)))))))))))))))))) [1]
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(x1)))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(x1)))))))))))))))))) [1]
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(x1)))))))))))))))))) [1]
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(x1)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(x1)))))))))))))))))) [1]
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(x1)))))))))))))))))) [1]
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(x1)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(x1)))))))))))))))))) [1]
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(x1)))))))))))))))))) [1]
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(x1)))))))))))))))))) [1]
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(x1)))))))))))))))))) [1]
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(x1)))))))))))))))))) [1]
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(x1)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(x1)))))))))))))))))) [1]
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(x1)))))))))))))))))) [1]
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(x1)))))))))))))))))) [1]
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(x1)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(x1)))))))))))))))))) [1]
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(x1)))))))))))))))))) [1]
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(x1)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(x1)))))))))))))))))) [1]
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(x1)))))))))))))))))) [1]
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(x1)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(x1)))))))))))))))))) [1]
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(x1)))))))))))))))))) [1]
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(x1)))))))))))))))))) [1]
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(x1)))))))))))))))))) [1]
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(x1)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(x1)))))))))))))))))) [1]
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(x1)))))))))))))))))) [1]
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(x1)))))))))))))))))) [1]
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(x1)))))))))))))))))) [1]
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(x1)))))))))))))))))) [1]
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(x1)))))))))))))))))) [1]
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(x1)))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(x1)))))))))))))))))) [1]
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(x1)))))))))))))))))) [1]
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(x1)))))))))))))))))) [1]
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(x1)))))))))))))))))) [1]
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(x1)))))))))))))))))) [1]
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(x1)))))))))))))))))) [1]
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(x1)))))))))))))))))) [1]
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(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'
2 => 2'
3 => 3'

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

(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_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(2'(0'(3'(3'(1'(1'(3'(2'(3'(0'(3'(2'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(3'(0'(1'(1'(1'(2'(3'(0'(3'(0'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(0'(3'(3'(3'(3'(3'(0'(1'(0'(3'(0'(1'(1'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(2'(1'(2'(2'(0'(0'(1'(1'(0'(1'(1'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(0'(3'(1'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2'(1'(1'(2'(1'(1'(0'(1'(0'(1'(3'(3'(3'(2'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1'(2'(2'(2'(3'(3'(1'(0'(3'(2'(0'(3'(2'(1'(0'(2'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(3'(3'(3'(0'(1'(0'(0'(1'(2'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(1'(2'(3'(2'(1'(1'(3'(3'(1'(2'(1'(1'(2'(3'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0'(1'(0'(3'(3'(2'(1'(3'(2'(0'(0'(2'(1'(2'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
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   1'(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 1'(0'(2'(3'(3'(3'(3'(3'(2'(1'(3'(3'(0'(3'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(2'(2'(3'(2'(0'(0'(3'(0'(1'(1'(3'(3'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(1'(3'(2'(2'(3'(3'(0'(3'(3'(1'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(1'(1'(2'(3'(1'(1'(0'(2'(0'(3'(2'(0'(3'(3'(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_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(2'(0'(3'(3'(1'(1'(3'(2'(3'(0'(3'(2'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(3'(0'(1'(1'(1'(2'(3'(0'(3'(0'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(0'(3'(3'(3'(3'(3'(0'(1'(0'(3'(0'(1'(1'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(2'(1'(2'(2'(0'(0'(1'(1'(0'(1'(1'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(0'(3'(1'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2'(1'(1'(2'(1'(1'(0'(1'(0'(1'(3'(3'(3'(2'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1'(2'(2'(2'(3'(3'(1'(0'(3'(2'(0'(3'(2'(1'(0'(2'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(3'(3'(3'(0'(1'(0'(0'(1'(2'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(1'(2'(3'(2'(1'(1'(3'(3'(1'(2'(1'(1'(2'(3'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0'(1'(0'(3'(3'(2'(1'(3'(2'(0'(0'(2'(1'(2'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(0'(2'(2'(0'(2'(3'(0'(1'(0'(2'(0'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 1'(1'(1'(1'(2'(1'(1'(0'(0'(3'(2'(0'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(1'(3'(1'(2'(2'(3'(1'(2'(1'(2'(3'(1'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(x1)))))))))))))))))) -> 2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(1'(0'(0'(3'(3'(0'(3'(3'(1'(2'(2'(0'(0'(1'(2'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 0'(3'(1'(0'(1'(3'(0'(3'(3'(0'(0'(1'(0'(1'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(2'(1'(1'(2'(2'(0'(0'(3'(0'(2'(0'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(3'(0'(1'(3'(1'(0'(3'(0'(3'(3'(1'(1'(2'(1'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(3'(3'(3'(3'(3'(3'(1'(1'(2'(3'(1'(1'(0'(1'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 2'(2'(0'(1'(0'(0'(2'(1'(0'(3'(0'(3'(1'(0'(0'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(3'(0'(2'(0'(2'(3'(3'(2'(2'(0'(2'(3'(3'(1'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(x1)))))))))))))))))) -> 2'(0'(2'(3'(2'(1'(0'(1'(2'(3'(2'(0'(0'(1'(0'(2'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 1'(2'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(1'(2'(2'(3'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(x1)))))))))))))))))) -> 1'(0'(1'(0'(1'(3'(2'(3'(1'(3'(0'(3'(3'(0'(3'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(3'(3'(3'(0'(0'(0'(1'(2'(0'(0'(3'(1'(1'(0'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(0'(0'(3'(1'(2'(1'(3'(1'(2'(0'(3'(3'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))) -> 1'(2'(3'(0'(0'(1'(0'(0'(0'(3'(2'(3'(2'(0'(0'(1'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(0'(0'(3'(2'(0'(2'(0'(0'(3'(3'(1'(0'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(3'(1'(1'(2'(1'(2'(1'(0'(0'(0'(0'(2'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(x1)))))))))))))))))) -> 3'(3'(1'(3'(2'(1'(3'(3'(1'(1'(2'(1'(3'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(3'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(0'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 2'(1'(1'(2'(0'(0'(3'(1'(3'(0'(3'(3'(2'(0'(3'(3'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(3'(2'(0'(2'(0'(1'(0'(2'(0'(3'(1'(1'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(3'(1'(3'(0'(3'(3'(3'(1'(0'(1'(0'(0'(0'(3'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(1'(2'(2'(3'(3'(0'(1'(3'(2'(2'(2'(1'(0'(3'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(1'(1'(2'(1'(1'(2'(0'(3'(2'(0'(1'(0'(0'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(1'(2'(1'(0'(3'(0'(1'(0'(2'(1'(1'(2'(3'(3'(1'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(1'(0'(0'(3'(0'(0'(3'(0'(2'(0'(3'(3'(2'(1'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(2'(0'(3'(3'(3'(3'(1'(2'(1'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(2'(3'(0'(2'(0'(1'(0'(3'(0'(1'(0'(2'(0'(1'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(1'(1'(3'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(x1)))))))))))))))))) -> 0'(3'(2'(0'(0'(1'(2'(0'(0'(3'(3'(0'(1'(1'(3'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 3'(1'(3'(3'(3'(1'(1'(0'(2'(2'(3'(2'(1'(0'(3'(0'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3'(2'(3'(1'(0'(2'(0'(2'(1'(0'(2'(3'(1'(0'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(x1)))))))))))))))))) -> 1'(1'(2'(3'(1'(2'(1'(2'(1'(1'(0'(3'(3'(2'(0'(0'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 3'(1'(3'(1'(2'(1'(0'(1'(2'(3'(2'(3'(3'(3'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(3'(2'(1'(1'(0'(3'(3'(1'(0'(3'(2'(1'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(1'(2'(2'(2'(0'(3'(0'(0'(1'(2'(3'(0'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 2'(0'(3'(0'(2'(0'(0'(1'(0'(3'(0'(1'(1'(1'(2'(0'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 2'(1'(2'(3'(1'(2'(1'(0'(0'(1'(0'(0'(3'(3'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(3'(1'(0'(3'(2'(2'(2'(2'(1'(3'(0'(3'(2'(2'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(x1)))))))))))))))))) -> 3'(3'(0'(3'(2'(0'(1'(3'(1'(0'(3'(1'(3'(3'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 1'(1'(2'(2'(3'(3'(3'(2'(3'(1'(1'(2'(3'(1'(0'(2'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(3'(3'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(3'(3'(1'(0'(0'(3'(3'(2'(1'(1'(1'(0'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 3'(0'(2'(2'(3'(2'(3'(0'(0'(1'(0'(3'(0'(3'(0'(2'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(1'(0'(2'(1'(0'(1'(0'(3'(3'(3'(1'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(1'(2'(3'(3'(1'(1'(1'(0'(2'(2'(1'(1'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(0'(0'(2'(2'(3'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(1'(3'(2'(0'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 1'(0'(2'(3'(3'(3'(3'(3'(2'(1'(3'(3'(0'(3'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(2'(2'(3'(2'(0'(0'(3'(0'(1'(1'(3'(3'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(1'(3'(2'(2'(3'(3'(0'(3'(3'(1'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(1'(1'(2'(3'(1'(1'(0'(2'(0'(3'(2'(0'(3'(3'(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_3:c_1:c_2 -> c_0:c_3:c_1:c_2
c_0 :: c_0:c_3:c_1:c_2 -> c_0:c_3:c_1:c_2
c_2 :: c_0:c_3:c_1:c_2 -> c_0:c_3:c_1:c_2
c_3 :: c_0:c_3:c_1:c_2 -> c_0:c_3:c_1:c_2
c_1 :: c_0:c_3:c_1:c_2 -> c_0:c_3:c_1:c_2
2' :: c_0:c_3:c_1:c_2 -> c_0:c_3:c_1:c_2
0' :: c_0:c_3:c_1:c_2 -> c_0:c_3:c_1:c_2
3' :: c_0:c_3:c_1:c_2 -> c_0:c_3:c_1:c_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_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 -> c_0:c_3:c_1:c_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2

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_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(2'(0'(3'(3'(1'(1'(3'(2'(3'(0'(3'(2'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(3'(0'(1'(1'(1'(2'(3'(0'(3'(0'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(0'(3'(3'(3'(3'(3'(0'(1'(0'(3'(0'(1'(1'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(2'(1'(2'(2'(0'(0'(1'(1'(0'(1'(1'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(0'(3'(1'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2'(1'(1'(2'(1'(1'(0'(1'(0'(1'(3'(3'(3'(2'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1'(2'(2'(2'(3'(3'(1'(0'(3'(2'(0'(3'(2'(1'(0'(2'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(3'(3'(3'(0'(1'(0'(0'(1'(2'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(1'(2'(3'(2'(1'(1'(3'(3'(1'(2'(1'(1'(2'(3'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0'(1'(0'(3'(3'(2'(1'(3'(2'(0'(0'(2'(1'(2'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(0'(2'(2'(0'(2'(3'(0'(1'(0'(2'(0'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 1'(1'(1'(1'(2'(1'(1'(0'(0'(3'(2'(0'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(1'(3'(1'(2'(2'(3'(1'(2'(1'(2'(3'(1'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(x1)))))))))))))))))) -> 2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(1'(0'(0'(3'(3'(0'(3'(3'(1'(2'(2'(0'(0'(1'(2'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(x1)))))))))))))))))) -> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(x1)))))))))))))))))) -> 0'(3'(1'(0'(1'(3'(0'(3'(3'(0'(0'(1'(0'(1'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(x1)))))))))))))))))) -> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(x1)))))))))))))))))) -> 0'(0'(2'(1'(1'(2'(2'(0'(0'(3'(0'(2'(0'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(3'(0'(1'(3'(1'(0'(3'(0'(3'(3'(1'(1'(2'(1'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(3'(3'(3'(3'(3'(3'(1'(1'(2'(3'(1'(1'(0'(1'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 2'(2'(0'(1'(0'(0'(2'(1'(0'(3'(0'(3'(1'(0'(0'(3'(1'(0'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(x1)))))))))))))))))) -> 0'(0'(3'(0'(2'(0'(2'(3'(3'(2'(2'(0'(2'(3'(3'(1'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(x1)))))))))))))))))) -> 2'(0'(2'(3'(2'(1'(0'(1'(2'(3'(2'(0'(0'(1'(0'(2'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 1'(2'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(1'(2'(2'(3'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(x1)))))))))))))))))) -> 1'(0'(1'(0'(1'(3'(2'(3'(1'(3'(0'(3'(3'(0'(3'(1'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(3'(3'(3'(0'(0'(0'(1'(2'(0'(0'(3'(1'(1'(0'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 1'(2'(0'(0'(3'(1'(2'(1'(3'(1'(2'(0'(3'(3'(3'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x1)))))))))))))))))) [1]
   1'(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(x1)))))))))))))))))) -> 1'(2'(3'(0'(0'(1'(0'(0'(0'(3'(2'(3'(2'(0'(0'(1'(2'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(0'(0'(3'(2'(0'(2'(0'(0'(3'(3'(1'(0'(2'(1'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(3'(1'(1'(2'(1'(2'(1'(0'(0'(0'(0'(2'(3'(0'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(x1)))))))))))))))))) -> 3'(3'(1'(3'(2'(1'(3'(3'(1'(1'(2'(1'(3'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(3'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(0'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(x1)))))))))))))))))) -> 2'(1'(1'(2'(0'(0'(3'(1'(3'(0'(3'(3'(2'(0'(3'(3'(0'(1'(x1)))))))))))))))))) [1]
   2'(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(x1)))))))))))))))))) -> 3'(0'(3'(2'(0'(2'(0'(1'(0'(2'(0'(3'(1'(1'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(3'(1'(3'(0'(3'(3'(3'(1'(0'(1'(0'(0'(0'(3'(0'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(x1)))))))))))))))))) -> 1'(2'(1'(2'(2'(3'(3'(0'(1'(3'(2'(2'(2'(1'(0'(3'(0'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(x1)))))))))))))))))) -> 1'(1'(1'(2'(1'(1'(2'(0'(3'(2'(0'(1'(0'(0'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(x1)))))))))))))))))) -> 2'(1'(2'(1'(0'(3'(0'(1'(0'(2'(1'(1'(2'(3'(3'(1'(2'(3'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(1'(0'(0'(3'(0'(0'(3'(0'(2'(0'(3'(3'(2'(1'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(2'(0'(3'(3'(3'(3'(1'(2'(1'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(x1)))))))))))))))))) -> 0'(2'(3'(0'(2'(0'(1'(0'(3'(0'(1'(0'(2'(0'(1'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(1'(1'(3'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(x1)))))))))))))))))) -> 0'(3'(2'(0'(0'(1'(2'(0'(0'(3'(3'(0'(1'(1'(3'(1'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 3'(1'(3'(3'(3'(1'(1'(0'(2'(2'(3'(2'(1'(0'(3'(0'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3'(2'(3'(1'(0'(2'(0'(2'(1'(0'(2'(3'(1'(0'(3'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(x1)))))))))))))))))) -> 1'(1'(2'(3'(1'(2'(1'(2'(1'(1'(0'(3'(3'(2'(0'(0'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 3'(1'(3'(1'(2'(1'(0'(1'(2'(3'(2'(3'(3'(3'(2'(0'(2'(0'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(3'(3'(2'(1'(1'(0'(3'(3'(1'(0'(3'(2'(1'(3'(3'(0'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(x1)))))))))))))))))) -> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(x1)))))))))))))))))) -> 0'(3'(1'(2'(2'(2'(0'(3'(0'(0'(1'(2'(3'(0'(2'(3'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(x1)))))))))))))))))) -> 2'(0'(3'(0'(2'(0'(0'(1'(0'(3'(0'(1'(1'(1'(2'(0'(0'(3'(x1)))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 2'(1'(2'(3'(1'(2'(1'(0'(0'(1'(0'(0'(3'(3'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(x1)))))))))))))))))) -> 1'(3'(3'(1'(0'(3'(2'(2'(2'(2'(1'(3'(0'(3'(2'(2'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(x1)))))))))))))))))) -> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(x1)))))))))))))))))) -> 3'(3'(0'(3'(2'(0'(1'(3'(1'(0'(3'(1'(3'(3'(2'(1'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(x1)))))))))))))))))) -> 1'(1'(2'(2'(3'(3'(3'(2'(3'(1'(1'(2'(3'(1'(0'(2'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(3'(3'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(x1)))))))))))))))))) -> 0'(2'(1'(3'(3'(3'(1'(0'(0'(3'(3'(2'(1'(1'(1'(0'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 3'(0'(2'(2'(3'(2'(3'(0'(0'(1'(0'(3'(0'(3'(0'(2'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(1'(0'(2'(1'(0'(1'(0'(3'(3'(3'(1'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(1'(2'(3'(3'(1'(1'(1'(0'(2'(2'(1'(1'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(0'(0'(2'(2'(3'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(1'(3'(2'(0'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 1'(0'(2'(3'(3'(3'(3'(3'(2'(1'(3'(3'(0'(3'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(2'(2'(3'(2'(0'(0'(3'(0'(1'(1'(3'(3'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(1'(3'(2'(2'(3'(3'(0'(3'(3'(1'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(1'(1'(2'(3'(1'(1'(0'(2'(0'(3'(2'(0'(3'(3'(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_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
c_0 :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
c_2 :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
c_3 :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
c_1 :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
2' :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
0' :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
3' :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2: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_3:c_1:c_2:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2:const
const :: c_0:c_3:c_1:c_2: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_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(2'(0'(3'(3'(1'(1'(3'(2'(3'(0'(3'(2'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(3'(0'(1'(1'(1'(2'(3'(0'(3'(0'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x169))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x169))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x170))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x170))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(x171))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x171))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(x172))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x172))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(x173))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x173))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(x174))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x174))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(x175))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x175))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(x176))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x176))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x177))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x177))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x178))))))))))))))))))))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x178))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(c_2(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(const))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(0'(3'(3'(3'(3'(3'(0'(1'(0'(3'(0'(1'(1'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(2'(1'(2'(2'(0'(0'(1'(1'(0'(1'(1'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(0'(3'(1'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2'(1'(1'(2'(1'(1'(0'(1'(0'(1'(3'(3'(3'(2'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1193))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1193))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1194))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1194))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(x1195))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x1195))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(x1196))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x1196))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(x1197))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x1197))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(x1198))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x1198))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(x1199))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x1199))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(x1200))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x1200))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x1201))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x1201))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1202))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x1202))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(c_2(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(const))))))))))))))))) [1]
   1'(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(x1)))))))))))))))))) -> 1'(2'(2'(2'(3'(3'(1'(0'(3'(2'(0'(3'(2'(1'(0'(2'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(x1)))))))))))))))))) -> 3'(1'(0'(3'(1'(3'(3'(3'(0'(1'(0'(0'(1'(2'(0'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(x1)))))))))))))))))) -> 3'(3'(1'(2'(3'(2'(1'(1'(3'(3'(1'(2'(1'(1'(2'(3'(3'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(x1)))))))))))))))))) -> 0'(1'(0'(3'(3'(2'(1'(3'(2'(0'(0'(2'(1'(2'(1'(2'(0'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(0'(2'(3'(0'(0'(2'(2'(0'(2'(3'(0'(1'(0'(2'(0'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(x1)))))))))))))))))) -> 1'(1'(1'(1'(2'(1'(1'(0'(0'(3'(2'(0'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(1'(3'(1'(2'(2'(3'(1'(2'(1'(2'(3'(1'(0'(0'(3'(0'(x1)))))))))))))))))) [1]
   2'(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(x1)))))))))))))))))) -> 2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x1)))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(1'(0'(0'(3'(3'(0'(3'(3'(1'(2'(2'(0'(0'(1'(2'(2'(0'(x1)))))))))))))))))) [1]
   3'(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1403))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1403))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1404))))))))))))))))))))))))))))))))))) -> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1404))))))))))))))))))))))))))))))))))) [2]
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   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(x11543))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x11543))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(x11544))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x11544))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(x11545))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x11545))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(x11546))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x11546))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(x11547))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x11547))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x11548))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x11548))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x11549))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x11549))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(c_2(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(const))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(2'(2'(3'(2'(0'(0'(3'(0'(1'(1'(3'(3'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(1'(3'(2'(2'(3'(3'(0'(3'(3'(1'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(1'(1'(2'(3'(1'(1'(0'(2'(0'(3'(2'(0'(3'(3'(x1)))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(cons_3(x_12))) -> 0'(3'(encArg(x_12))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_13))) -> 1'(0'(encArg(x_13))) [0]
   encArg(cons_1(cons_1(x_14))) -> 1'(1'(encArg(x_14))) [0]
   encArg(cons_1(cons_2(x_15))) -> 1'(2'(encArg(x_15))) [0]
   encArg(cons_1(cons_3(x_16))) -> 1'(3'(encArg(x_16))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_17))) -> 2'(0'(encArg(x_17))) [0]
   encArg(cons_2(cons_1(x_18))) -> 2'(1'(encArg(x_18))) [0]
   encArg(cons_2(cons_2(x_19))) -> 2'(2'(encArg(x_19))) [0]
   encArg(cons_2(cons_3(x_110))) -> 2'(3'(encArg(x_110))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_3(cons_0(x_111))) -> 3'(0'(encArg(x_111))) [0]
   encArg(cons_3(cons_1(x_112))) -> 3'(1'(encArg(x_112))) [0]
   encArg(cons_3(cons_2(x_113))) -> 3'(2'(encArg(x_113))) [0]
   encArg(cons_3(cons_3(x_114))) -> 3'(3'(encArg(x_114))) [0]
   encArg(cons_3(x_1)) -> 3'(const) [0]
   encode_0(cons_0(x_115)) -> 0'(0'(encArg(x_115))) [0]
   encode_0(cons_1(x_116)) -> 0'(1'(encArg(x_116))) [0]
   encode_0(cons_2(x_117)) -> 0'(2'(encArg(x_117))) [0]
   encode_0(cons_3(x_118)) -> 0'(3'(encArg(x_118))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_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_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
c_0 :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
c_2 :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
c_3 :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
c_1 :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
2' :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
0' :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
3' :: c_0:c_3:c_1:c_2:const -> c_0:c_3:c_1:c_2:const
encArg :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2: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_3:c_1:c_2:const
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2:const
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2:const
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> c_0:c_3:c_1:c_2:const
const :: c_0:c_3:c_1:c_2: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'(0'(3'(2'(0'(2'(0'(1'(0'(2'(0'(3'(1'(1'(0'(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
   0'(z) -{ 1 }-> 2'(1'(2'(3'(1'(2'(1'(0'(0'(1'(0'(0'(3'(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 }-> 1'(0'(1'(0'(1'(3'(2'(3'(1'(3'(0'(3'(3'(0'(3'(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
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(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
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(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 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(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
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(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 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(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 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(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 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(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
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(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
   0'(z) -{ 1 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(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'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(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'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x1437))))))))))))))))))))))))))))))))))) :|: x1437 >= 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 + x1437)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(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
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1436))))))))))))))))))))))))))))))))))) :|: x1436 >= 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 + x1436)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x1439))))))))))))))))))))))))))))))))))) :|: x1439 >= 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 + x1439)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x1438))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1438))))))))))))))))))))))))))))))))), x1438 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(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
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1435))))))))))))))))))))))))))))))))))) :|: x1435 >= 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 + x1435)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x1440))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1440))))))))))))))))))))))))))))))))), x1440 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(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 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(0'(0'(1'(2'(0'(0'(3'(3'(0'(1'(1'(3'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(1'(2'(3'(3'(1'(1'(1'(0'(2'(2'(1'(1'(1'(1'(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'(3'(1'(2'(2'(2'(0'(3'(0'(0'(1'(2'(3'(0'(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
   0'(z) -{ 1 }-> 0'(3'(1'(0'(1'(3'(0'(3'(3'(0'(0'(1'(0'(1'(2'(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
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x11163))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11163))))))))))))))))))))))))))))))))), x11163 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x11169))))))))))))))))))))))))))))))))))) :|: x11169 >= 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 + x11169)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x11162))))))))))))))))))))))))))))))))))) :|: x11162 >= 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 + x11162)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x11165))))))))))))))))))))))))))))))))))) :|: x11165 >= 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 + x11165)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x11168))))))))))))))))))))))))))))))))))) :|: x11168 >= 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 + x11168)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x11167))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11167))))))))))))))))))))))))))))))))), x11167 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x11164))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11164))))))))))))))))))))))))))))))))), x11164 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x11170))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11170))))))))))))))))))))))))))))))))), x11170 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x11161))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11161))))))))))))))))))))))))))))))))), x11161 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(0'(0'(2'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x11166))))))))))))))))))))))))))))))))))) :|: x11166 >= 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 + x11166)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(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'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(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'(2'(3'(3'(3'(0'(0'(0'(1'(2'(0'(0'(3'(1'(1'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(0'(3'(3'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(0'(2'(0'(1'(0'(3'(0'(1'(0'(2'(0'(1'(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
   0'(z) -{ 1 }-> 0'(2'(1'(3'(3'(3'(1'(0'(0'(3'(3'(2'(1'(1'(1'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(3'(3'(2'(1'(3'(2'(0'(0'(2'(1'(2'(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
   0'(z) -{ 1 }-> 0'(1'(0'(0'(3'(3'(0'(3'(3'(1'(2'(2'(0'(0'(1'(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
   0'(z) -{ 1 }-> 0'(1'(0'(0'(3'(0'(0'(3'(0'(2'(0'(3'(3'(2'(1'(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
   0'(z) -{ 1 }-> 0'(0'(3'(0'(2'(0'(2'(3'(3'(2'(2'(0'(2'(3'(3'(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
   0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(2'(2'(0'(0'(3'(0'(2'(0'(3'(1'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(3'(3'(3'(3'(3'(3'(1'(1'(2'(3'(1'(1'(0'(1'(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 }-> 2'(3'(3'(2'(1'(1'(0'(3'(3'(1'(0'(3'(2'(1'(3'(3'(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 }-> 2'(2'(0'(1'(0'(0'(2'(1'(0'(3'(0'(3'(1'(0'(0'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(1'(2'(1'(0'(3'(0'(1'(0'(2'(1'(1'(2'(3'(3'(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
   1'(z) -{ 1 }-> 2'(1'(1'(3'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(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
   1'(z) -{ 1 }-> 2'(1'(1'(2'(1'(1'(0'(1'(0'(1'(3'(3'(3'(2'(2'(3'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(1'(1'(2'(0'(0'(3'(1'(3'(0'(3'(3'(2'(0'(3'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(0'(3'(0'(2'(0'(0'(1'(0'(3'(0'(1'(1'(1'(2'(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 }-> 2'(0'(2'(3'(2'(1'(0'(1'(2'(3'(2'(0'(0'(1'(0'(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 }-> 2'(0'(1'(2'(2'(0'(3'(3'(1'(1'(3'(2'(3'(0'(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
   1'(z) -{ 1 }-> 1'(3'(3'(1'(0'(3'(2'(2'(2'(2'(1'(3'(0'(3'(2'(2'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(3'(0'(1'(3'(1'(0'(3'(0'(3'(3'(1'(1'(2'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(3'(0'(0'(1'(0'(0'(0'(3'(2'(3'(2'(0'(0'(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
   1'(z) -{ 1 }-> 1'(2'(2'(2'(3'(3'(1'(0'(3'(2'(0'(3'(2'(1'(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
   1'(z) -{ 1 }-> 1'(2'(2'(1'(2'(2'(0'(0'(1'(1'(0'(1'(1'(3'(1'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(0'(3'(1'(2'(1'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(3'(0'(1'(1'(1'(2'(3'(0'(3'(0'(3'(3'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(2'(3'(3'(0'(1'(3'(2'(2'(2'(1'(0'(3'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(0'(0'(2'(2'(3'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(1'(2'(2'(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
   1'(z) -{ 1 }-> 1'(2'(0'(0'(3'(1'(2'(1'(3'(1'(2'(0'(3'(3'(3'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(3'(1'(2'(1'(2'(1'(1'(0'(3'(3'(2'(0'(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
   1'(z) -{ 1 }-> 1'(1'(2'(2'(3'(3'(3'(2'(3'(1'(1'(2'(3'(1'(0'(2'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(3'(2'(2'(3'(3'(0'(3'(3'(1'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(3'(2'(0'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(2'(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'(1'(2'(1'(1'(2'(0'(3'(2'(0'(1'(0'(0'(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'(1'(1'(2'(1'(1'(0'(0'(3'(2'(0'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(3'(3'(3'(3'(3'(2'(1'(3'(3'(0'(3'(1'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(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
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x11159))))))))))))))))))))))))))))))))))) :|: x11159 >= 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 + x11159)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x11158))))))))))))))))))))))))))))))))))) :|: x11158 >= 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 + x11158)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x11157))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11157))))))))))))))))))))))))))))))))), x11157 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(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
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x11160))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11160))))))))))))))))))))))))))))))))), x11160 >= 0
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(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
   1'(z) -{ 2 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(3'(3'(2'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(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
   1'(z) -{ 1 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(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
   1'(z) -{ 1 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(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
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(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
   2'(z) -{ 1 }-> 2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(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
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x1662))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1662))))))))))))))))))))))))))))))))), x1662 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x1668))))))))))))))))))))))))))))))))))) :|: x1668 >= 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 + x1668)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1661))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1661))))))))))))))))))))))))))))))))), x1661 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x1664))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1664))))))))))))))))))))))))))))))))), x1664 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x1667))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1667))))))))))))))))))))))))))))))))), x1667 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x1666))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1666))))))))))))))))))))))))))))))))), x1666 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x1663))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1663))))))))))))))))))))))))))))))))), x1663 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x1669))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1669))))))))))))))))))))))))))))))))), x1669 >= 0
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1660))))))))))))))))))))))))))))))))))) :|: x1660 >= 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 + x1660)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x1665))))))))))))))))))))))))))))))))))) :|: x1665 >= 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 + x1665)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(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'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(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
   2'(z) -{ 1 }-> 2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(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
   2'(z) -{ 1 }-> 2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(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
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x11542))))))))))))))))))))))))))))))))))) :|: x11542 >= 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 + x11542)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x11548))))))))))))))))))))))))))))))))))) :|: x11548 >= 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 + x11548)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x11541))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11541))))))))))))))))))))))))))))))))), x11541 >= 0
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x11544))))))))))))))))))))))))))))))))))) :|: x11544 >= 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 + x11544)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x11547))))))))))))))))))))))))))))))))))) :|: x11547 >= 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 + x11547)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x11546))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11546))))))))))))))))))))))))))))))))), x11546 >= 0
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x11543))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11543))))))))))))))))))))))))))))))))), x11543 >= 0
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x11549))))))))))))))))))))))))))))))))))) :|: x11549 >= 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 + x11549)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x11540))))))))))))))))))))))))))))))))))) :|: x11540 >= 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 + x11540)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x11545))))))))))))))))))))))))))))))))))) :|: x11545 >= 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 + x11545)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(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 }-> 1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(1'(1'(2'(1'(2'(1'(0'(0'(0'(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
   3'(z) -{ 1 }-> 3'(3'(2'(0'(3'(3'(3'(3'(1'(2'(1'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(3'(2'(1'(3'(3'(1'(1'(2'(1'(3'(3'(1'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(2'(3'(2'(1'(1'(3'(3'(1'(2'(1'(1'(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
   3'(z) -{ 1 }-> 3'(3'(0'(3'(2'(0'(1'(3'(1'(0'(3'(1'(3'(3'(2'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(1'(0'(2'(0'(2'(1'(0'(2'(3'(1'(0'(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
   3'(z) -{ 1 }-> 3'(2'(1'(3'(1'(2'(2'(3'(1'(2'(1'(2'(3'(1'(0'(0'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(3'(1'(1'(0'(2'(2'(3'(2'(1'(0'(3'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(3'(0'(3'(3'(3'(1'(0'(1'(0'(0'(0'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(2'(1'(0'(1'(2'(3'(2'(3'(3'(3'(2'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(1'(0'(0'(1'(2'(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
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(x11277))))))))))))))))))))))))))))))))))) :|: x11277 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11277)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x11283))))))))))))))))))))))))))))))))))) :|: x11283 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11283)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x11276))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11276))))))))))))))))))))))))))))))))), x11276 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(x11279))))))))))))))))))))))))))))))))))) :|: x11279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11279)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x11282))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11282))))))))))))))))))))))))))))))))), x11282 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(x11281))))))))))))))))))))))))))))))))))) :|: x11281 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11281)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x11278))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11278))))))))))))))))))))))))))))))))), x11278 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x11284))))))))))))))))))))))))))))))))))) :|: x11284 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11284)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x11275))))))))))))))))))))))))))))))))))) :|: x11275 >= 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 + x11275)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x11280))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11280))))))))))))))))))))))))))))))))), x11280 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(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
   3'(z) -{ 1 }-> 3'(0'(2'(3'(0'(0'(2'(2'(0'(2'(3'(0'(1'(0'(2'(0'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(3'(2'(3'(0'(0'(1'(0'(3'(0'(3'(0'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(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
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1404))))))))))))))))))))))))))))))))))) :|: x1404 >= 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 + x1404)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(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
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1403))))))))))))))))))))))))))))))))))) :|: x1403 >= 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 + x1403)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(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
   3'(z) -{ 1 }-> 3'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(3'(3'(0'(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'(0'(0'(0'(3'(2'(0'(2'(0'(0'(3'(3'(1'(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
   3'(z) -{ 1 }-> 2'(2'(1'(0'(2'(1'(0'(1'(0'(3'(3'(3'(1'(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 }-> 2'(1'(0'(3'(1'(1'(2'(3'(1'(1'(0'(2'(0'(3'(2'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 1'(3'(2'(2'(3'(2'(0'(0'(3'(0'(1'(1'(3'(3'(0'(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
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(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 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(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
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(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) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(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
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(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
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(x1196))))))))))))))))))))))))))))))))))) :|: x1196 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1196)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(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 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x1198))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1198))))))))))))))))))))))))))))))))), x1198 >= 0
   3'(z) -{ 1 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(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 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(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 }-> 1'(0'(3'(3'(3'(3'(3'(0'(1'(0'(3'(0'(1'(1'(0'(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) -{ 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'(0'(3'(2'(0'(2'(0'(1'(0'(2'(0'(3'(1'(1'(0'(3'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 2'(1'(2'(3'(1'(2'(1'(0'(0'(1'(0'(0'(3'(3'(0'(3'(3'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 1'(0'(1'(0'(1'(3'(2'(3'(1'(3'(0'(3'(3'(0'(3'(1'(0'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(0))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
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   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   2'(z) -{ 2 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   2'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(0))))))))))))))))) :|: z - 17 >= 0
   2'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   2'(z) -{ 1 }-> 1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   2'(z) -{ 1 }-> 1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   2'(z) -{ 0 }-> 0 :|: z >= 0
   2'(z) -{ 0 }-> 1 + z :|: z >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(1'(1'(2'(1'(2'(1'(0'(0'(0'(0'(2'(3'(0'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(3'(2'(0'(3'(3'(3'(3'(1'(2'(1'(0'(0'(3'(2'(0'(2'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(3'(2'(1'(3'(3'(1'(1'(2'(1'(3'(3'(1'(2'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(2'(3'(2'(1'(1'(3'(3'(1'(2'(1'(1'(2'(3'(3'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(3'(0'(3'(2'(0'(1'(3'(1'(0'(3'(1'(3'(3'(2'(1'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(1'(0'(2'(0'(2'(1'(0'(2'(3'(1'(0'(3'(3'(3'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(3'(1'(2'(2'(3'(1'(2'(1'(2'(3'(1'(0'(0'(3'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(3'(1'(1'(0'(2'(2'(3'(2'(1'(0'(3'(0'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(3'(0'(3'(3'(3'(1'(0'(1'(0'(0'(0'(3'(0'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(2'(1'(0'(1'(2'(3'(2'(3'(3'(3'(2'(0'(2'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(1'(0'(0'(1'(2'(0'(3'(3'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(3'(0'(0'(2'(2'(0'(2'(3'(0'(1'(0'(2'(0'(3'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(3'(2'(3'(0'(0'(1'(0'(3'(0'(3'(0'(2'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(3'(3'(0'(3'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(0'(3'(2'(0'(2'(0'(0'(3'(3'(1'(0'(2'(1'(0'(0'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(2'(1'(0'(2'(1'(0'(1'(0'(3'(3'(3'(1'(3'(3'(3'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 2'(1'(0'(3'(1'(1'(2'(3'(1'(1'(0'(2'(0'(3'(2'(0'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 1'(3'(2'(2'(3'(2'(0'(0'(3'(0'(1'(1'(3'(3'(0'(3'(3'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(1'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(1'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(3'(3'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(0'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 1'(0'(3'(3'(3'(3'(3'(0'(1'(0'(3'(0'(1'(1'(0'(3'(3'(3'(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_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(x1)))))))))))))))))) -> 2'(0'(1'(2'(2'(0'(3'(3'(1'(1'(3'(2'(3'(0'(3'(2'(2'(0'(x1)))))))))))))))))) [1]
   2'(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(3'(0'(1'(1'(1'(2'(3'(0'(3'(0'(3'(3'(1'(1'(x1)))))))))))))))))) [1]
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(x1)))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(x1)))))))))))))))))) -> 1'(0'(3'(3'(3'(3'(3'(0'(1'(0'(3'(0'(1'(1'(0'(3'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(3'(3'(1'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(2'(1'(2'(2'(0'(0'(1'(1'(0'(1'(1'(3'(1'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(x1)))))))))))))))))) -> 1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(0'(3'(1'(2'(1'(1'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))) -> 2'(1'(1'(2'(1'(1'(0'(1'(0'(1'(3'(3'(3'(2'(2'(3'(1'(3'(x1)))))))))))))))))) [1]
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(x1)))))))))))))))))) -> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(3'(2'(2'(x1)))))))))))))))))) [1]
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   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(x1)))))))))))))))))) -> 2'(2'(1'(0'(2'(1'(0'(1'(0'(3'(3'(3'(1'(3'(3'(3'(3'(3'(x1)))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 0'(3'(1'(2'(3'(3'(1'(1'(1'(0'(2'(2'(1'(1'(1'(1'(3'(0'(x1)))))))))))))))))) [1]
   1'(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(0'(0'(2'(2'(3'(2'(3'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(1'(3'(2'(0'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(2'(3'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(x1)))))))))))))))))) -> 1'(0'(2'(3'(3'(3'(3'(3'(2'(1'(3'(3'(0'(3'(1'(1'(3'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(x1)))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(2'(2'(1'(2'(3'(x1)))))))))))))))))) [1]
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x1)))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(x1)))))))))))))))))) -> 1'(3'(2'(2'(3'(2'(0'(0'(3'(0'(1'(1'(3'(3'(0'(3'(3'(1'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(x1)))))))))))))))))) -> 1'(1'(1'(3'(2'(2'(3'(3'(0'(3'(3'(1'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(x1)))))))))))))))))) -> 2'(1'(0'(3'(1'(1'(2'(3'(1'(1'(0'(2'(0'(3'(2'(0'(3'(3'(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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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_3:c_1:c_2: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'(0'(3'(2'(0'(2'(0'(1'(0'(2'(0'(3'(1'(1'(0'(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
   0'(z) -{ 1 }-> 2'(1'(2'(3'(1'(2'(1'(0'(0'(1'(0'(0'(3'(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 }-> 1'(0'(1'(0'(1'(3'(2'(3'(1'(3'(0'(3'(3'(0'(3'(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
   0'(z) -{ 1 }-> 0'(3'(3'(3'(2'(1'(2'(0'(3'(0'(2'(1'(1'(0'(3'(3'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(3'(0'(3'(0'(1'(2'(2'(1'(3'(2'(0'(3'(3'(3'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(0'(0'(1'(2'(0'(0'(3'(3'(0'(1'(1'(3'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(1'(2'(3'(3'(1'(1'(1'(0'(2'(2'(1'(1'(1'(1'(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'(3'(1'(2'(2'(2'(0'(3'(0'(0'(1'(2'(3'(0'(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
   0'(z) -{ 1 }-> 0'(3'(1'(0'(1'(3'(0'(3'(3'(0'(0'(1'(0'(1'(2'(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
   0'(z) -{ 1 }-> 0'(3'(0'(3'(3'(0'(3'(0'(2'(2'(1'(3'(2'(0'(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'(2'(3'(3'(3'(0'(0'(0'(1'(2'(0'(0'(3'(1'(1'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(1'(0'(1'(2'(1'(0'(0'(1'(2'(2'(0'(3'(3'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(0'(2'(0'(1'(0'(3'(0'(1'(0'(2'(0'(1'(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
   0'(z) -{ 1 }-> 0'(2'(1'(3'(3'(3'(1'(0'(0'(3'(3'(2'(1'(1'(1'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(3'(3'(2'(1'(3'(2'(0'(0'(2'(1'(2'(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
   0'(z) -{ 1 }-> 0'(1'(0'(0'(3'(3'(0'(3'(3'(1'(2'(2'(0'(0'(1'(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
   0'(z) -{ 1 }-> 0'(1'(0'(0'(3'(0'(0'(3'(0'(2'(0'(3'(3'(2'(1'(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
   0'(z) -{ 1 }-> 0'(0'(3'(0'(2'(0'(2'(3'(3'(2'(2'(0'(2'(3'(3'(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
   0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(2'(2'(0'(0'(3'(0'(2'(0'(3'(1'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(3'(3'(3'(3'(3'(3'(1'(1'(2'(3'(1'(1'(0'(1'(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 }-> 2'(3'(3'(2'(1'(1'(0'(3'(3'(1'(0'(3'(2'(1'(3'(3'(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 }-> 2'(2'(0'(1'(0'(0'(2'(1'(0'(3'(0'(3'(1'(0'(0'(3'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(1'(2'(1'(0'(3'(0'(1'(0'(2'(1'(1'(2'(3'(3'(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
   1'(z) -{ 1 }-> 2'(1'(1'(3'(3'(0'(3'(0'(0'(1'(2'(3'(3'(1'(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
   1'(z) -{ 1 }-> 2'(1'(1'(2'(1'(1'(0'(1'(0'(1'(3'(3'(3'(2'(2'(3'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(1'(1'(2'(0'(0'(3'(1'(3'(0'(3'(3'(2'(0'(3'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(0'(3'(0'(2'(0'(0'(1'(0'(3'(0'(1'(1'(1'(2'(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 }-> 2'(0'(2'(3'(2'(1'(0'(1'(2'(3'(2'(0'(0'(1'(0'(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 }-> 2'(0'(1'(2'(2'(0'(3'(3'(1'(1'(3'(2'(3'(0'(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
   1'(z) -{ 1 }-> 1'(3'(3'(1'(0'(3'(2'(2'(2'(2'(1'(3'(0'(3'(2'(2'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(3'(0'(1'(3'(1'(0'(3'(0'(3'(3'(1'(1'(2'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(3'(0'(0'(1'(0'(0'(0'(3'(2'(3'(2'(0'(0'(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
   1'(z) -{ 1 }-> 1'(2'(2'(2'(3'(3'(1'(0'(3'(2'(0'(3'(2'(1'(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
   1'(z) -{ 1 }-> 1'(2'(2'(1'(2'(2'(0'(0'(1'(1'(0'(1'(1'(3'(1'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(0'(3'(1'(2'(1'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(3'(0'(1'(1'(1'(2'(3'(0'(3'(0'(3'(3'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(2'(3'(3'(0'(1'(3'(2'(2'(2'(1'(0'(3'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(0'(0'(2'(2'(3'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(1'(2'(2'(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
   1'(z) -{ 1 }-> 1'(2'(0'(0'(3'(1'(2'(1'(3'(1'(2'(0'(3'(3'(3'(0'(0'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(3'(1'(2'(1'(2'(1'(1'(0'(3'(3'(2'(0'(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
   1'(z) -{ 1 }-> 1'(1'(2'(2'(3'(3'(3'(2'(3'(1'(1'(2'(3'(1'(0'(2'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(3'(2'(2'(3'(3'(0'(3'(3'(1'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(3'(2'(0'(1'(0'(3'(2'(3'(1'(0'(1'(0'(3'(2'(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'(1'(2'(1'(1'(2'(0'(3'(2'(0'(1'(0'(0'(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'(1'(1'(2'(1'(1'(0'(0'(3'(2'(0'(0'(2'(1'(3'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(3'(3'(3'(3'(3'(2'(1'(3'(3'(0'(3'(1'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(0'(3'(2'(0'(3'(3'(1'(1'(1'(1'(0'(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
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(0'(3'(2'(0'(2'(2'(0'(3'(1'(2'(1'(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
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(2'(3'(3'(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
   2'(z) -{ 1 }-> 2'(2'(1'(2'(0'(3'(0'(0'(2'(0'(3'(3'(3'(3'(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
   2'(z) -{ 1 }-> 2'(2'(0'(2'(3'(0'(0'(3'(2'(0'(0'(3'(0'(1'(2'(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
   2'(z) -{ 1 }-> 2'(1'(3'(2'(3'(0'(3'(1'(1'(1'(0'(3'(3'(2'(2'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(3'(0'(0'(3'(0'(1'(2'(3'(2'(1'(0'(1'(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
   2'(z) -{ 1 }-> 2'(0'(3'(3'(1'(1'(1'(1'(1'(1'(1'(1'(2'(3'(2'(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
   2'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(2'(0'(2'(0'(2'(3'(1'(0'(1'(1'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(1'(2'(3'(0'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(0'(0'(0'(3'(1'(0'(3'(2'(1'(3'(3'(0'(0'(2'(1'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(1'(1'(2'(1'(2'(1'(0'(0'(0'(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
   3'(z) -{ 1 }-> 3'(3'(2'(0'(3'(3'(3'(3'(1'(2'(1'(0'(0'(3'(2'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(3'(2'(1'(3'(3'(1'(1'(2'(1'(3'(3'(1'(2'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(2'(3'(2'(1'(1'(3'(3'(1'(2'(1'(1'(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
   3'(z) -{ 1 }-> 3'(3'(0'(3'(2'(0'(1'(3'(1'(0'(3'(1'(3'(3'(2'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(1'(0'(2'(0'(2'(1'(0'(2'(3'(1'(0'(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
   3'(z) -{ 1 }-> 3'(2'(1'(3'(1'(2'(2'(3'(1'(2'(1'(2'(3'(1'(0'(0'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(3'(1'(1'(0'(2'(2'(3'(2'(1'(0'(3'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(3'(0'(3'(3'(3'(1'(0'(1'(0'(0'(0'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(2'(1'(0'(1'(2'(3'(2'(3'(3'(3'(2'(0'(2'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(0'(3'(1'(3'(3'(3'(0'(1'(0'(0'(1'(2'(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
   3'(z) -{ 1 }-> 3'(1'(0'(2'(0'(1'(3'(3'(3'(0'(0'(3'(2'(2'(3'(3'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(3'(0'(0'(2'(2'(0'(2'(3'(0'(1'(0'(2'(0'(3'(0'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(3'(2'(3'(0'(0'(1'(0'(3'(0'(3'(0'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(2'(2'(0'(3'(3'(2'(2'(1'(3'(2'(0'(3'(2'(0'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(3'(3'(0'(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'(0'(0'(0'(3'(2'(0'(2'(0'(0'(3'(3'(1'(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
   3'(z) -{ 1 }-> 2'(2'(1'(0'(2'(1'(0'(1'(0'(3'(3'(3'(1'(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 }-> 2'(1'(0'(3'(1'(1'(2'(3'(1'(1'(0'(2'(0'(3'(2'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 1'(3'(2'(2'(3'(2'(0'(0'(3'(0'(1'(1'(3'(3'(0'(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
   3'(z) -{ 1 }-> 1'(1'(2'(3'(3'(0'(0'(3'(3'(3'(2'(1'(2'(1'(2'(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
   3'(z) -{ 1 }-> 1'(0'(3'(3'(3'(3'(3'(0'(1'(0'(3'(0'(1'(1'(0'(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) -{ 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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c20(0'(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))))), 1'(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))), 0'(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))), 0'(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))), 3'(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))), 0'(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))), 0'(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))), 3'(0(2(0(3(3(2(1(3(1(3(z0))))))))))), 0'(2(0(3(3(2(1(3(1(3(z0)))))))))), 2'(0(3(3(2(1(3(1(3(z0))))))))), 0'(3(3(2(1(3(1(3(z0)))))))), 3'(3(2(1(3(1(3(z0))))))), 3'(2(1(3(1(3(z0)))))), 2'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c21(0'(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))))))), 2'(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))), 3'(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))))), 0'(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))), 2'(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))), 0'(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))), 1'(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))), 0'(3(0(1(0(2(0(1(3(3(3(z0))))))))))), 3'(0(1(0(2(0(1(3(3(3(z0)))))))))), 0'(1(0(2(0(1(3(3(3(z0))))))))), 1'(0(2(0(1(3(3(3(z0)))))))), 0'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> c22(0'(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0)))))))))))))))))), 3'(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))), 2'(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0)))))))))))))))), 0'(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))), 0'(1(2(0(0(3(3(0(1(1(3(1(3(3(z0)))))))))))))), 1'(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))), 2'(0(0(3(3(0(1(1(3(1(3(3(z0)))))))))))), 0'(0(3(3(0(1(1(3(1(3(3(z0))))))))))), 0'(3(3(0(1(1(3(1(3(3(z0)))))))))), 3'(3(0(1(1(3(1(3(3(z0))))))))), 3'(0(1(1(3(1(3(3(z0)))))))), 0'(1(1(3(1(3(3(z0))))))), 1'(1(3(1(3(3(z0)))))), 1'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> c23(0'(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0)))))))))))))))))), 3'(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))), 0'(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0)))))))))))))))), 3'(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))), 3'(0(3(0(2(2(1(3(2(0(0(0(2(2(z0)))))))))))))), 0'(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))), 3'(0(2(2(1(3(2(0(0(0(2(2(z0)))))))))))), 0'(2(2(1(3(2(0(0(0(2(2(z0))))))))))), 2'(2(1(3(2(0(0(0(2(2(z0)))))))))), 2'(1(3(2(0(0(0(2(2(z0))))))))), 1'(3(2(0(0(0(2(2(z0)))))))), 3'(2(0(0(0(2(2(z0))))))), 2'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> c24(0'(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0)))))))))))))))))), 3'(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))), 1'(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0)))))))))))))))), 2'(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))), 2'(2(0(3(0(0(1(2(3(0(2(3(3(3(z0)))))))))))))), 2'(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))), 0'(3(0(0(1(2(3(0(2(3(3(3(z0)))))))))))), 3'(0(0(1(2(3(0(2(3(3(3(z0))))))))))), 0'(0(1(2(3(0(2(3(3(3(z0)))))))))), 0'(1(2(3(0(2(3(3(3(z0))))))))), 1'(2(3(0(2(3(3(3(z0)))))))), 2'(3(0(2(3(3(3(z0))))))), 3'(0(2(3(3(3(z0)))))), 0'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c25(2'(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0)))))))))))))))))), 1'(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))), 2'(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0)))))))))))))))), 3'(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))), 1'(2(1(0(0(1(0(0(3(3(0(3(3(0(z0)))))))))))))), 2'(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))), 1'(0(0(1(0(0(3(3(0(3(3(0(z0)))))))))))), 0'(0(1(0(0(3(3(0(3(3(0(z0))))))))))), 0'(1(0(0(3(3(0(3(3(0(z0)))))))))), 1'(0(0(3(3(0(3(3(0(z0))))))))), 0'(0(3(3(0(3(3(0(z0)))))))), 0'(3(3(0(3(3(0(z0))))))), 3'(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_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> c26(0'(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0)))))))))))))))))), 2'(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))), 1'(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0)))))))))))))))), 3'(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))), 3'(3(1(0(0(3(3(2(1(1(1(0(2(0(z0)))))))))))))), 3'(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))), 1'(0(0(3(3(2(1(1(1(0(2(0(z0)))))))))))), 0'(0(3(3(2(1(1(1(0(2(0(z0))))))))))), 0'(3(3(2(1(1(1(0(2(0(z0)))))))))), 3'(3(2(1(1(1(0(2(0(z0))))))))), 3'(2(1(1(1(0(2(0(z0)))))))), 2'(1(1(1(0(2(0(z0))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> c27(0'(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0)))))))))))))))))), 3'(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))), 1'(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0)))))))))))))))), 2'(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))), 3'(3(1(1(1(0(2(2(1(1(1(1(3(0(z0)))))))))))))), 3'(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))), 1'(1(1(0(2(2(1(1(1(1(3(0(z0)))))))))))), 1'(1(0(2(2(1(1(1(1(3(0(z0))))))))))), 1'(0(2(2(1(1(1(1(3(0(z0)))))))))), 0'(2(2(1(1(1(1(3(0(z0))))))))), 2'(2(1(1(1(1(3(0(z0)))))))), 2'(1(1(1(1(3(0(z0))))))), 1'(1(1(1(3(0(z0)))))), 1'(1(1(3(0(z0))))), 1'(1(3(0(z0)))), 1'(3(0(z0))), 3'(0(z0)), 0'(z0))
   1'(z0) -> c28
   1'(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> c29(2'(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0)))))))))))))))))), 0'(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))), 1'(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0)))))))))))))))), 2'(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))), 2'(0(3(3(1(1(3(2(3(0(3(2(2(0(z0)))))))))))))), 0'(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))), 3'(3(1(1(3(2(3(0(3(2(2(0(z0)))))))))))), 3'(1(1(3(2(3(0(3(2(2(0(z0))))))))))), 1'(1(3(2(3(0(3(2(2(0(z0)))))))))), 1'(3(2(3(0(3(2(2(0(z0))))))))), 3'(2(3(0(3(2(2(0(z0)))))))), 2'(3(0(3(2(2(0(z0))))))), 3'(0(3(2(2(0(z0)))))), 0'(3(2(2(0(z0))))), 3'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> c30(1'(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0)))))))))))))))))), 2'(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))), 1'(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0)))))))))))))))), 2'(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))), 3'(0(1(1(1(2(3(0(3(0(3(3(1(1(z0)))))))))))))), 0'(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))), 1'(1(1(2(3(0(3(0(3(3(1(1(z0)))))))))))), 1'(1(2(3(0(3(0(3(3(1(1(z0))))))))))), 1'(2(3(0(3(0(3(3(1(1(z0)))))))))), 2'(3(0(3(0(3(3(1(1(z0))))))))), 3'(0(3(0(3(3(1(1(z0)))))))), 0'(3(0(3(3(1(1(z0))))))), 3'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> c31(1'(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0)))))))))))))))))), 2'(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))), 2'(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0)))))))))))))))), 1'(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))), 2'(2(0(0(1(1(0(1(1(3(1(2(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))), 0'(0(1(1(0(1(1(3(1(2(3(3(z0)))))))))))), 0'(1(1(0(1(1(3(1(2(3(3(z0))))))))))), 1'(1(0(1(1(3(1(2(3(3(z0)))))))))), 1'(0(1(1(3(1(2(3(3(z0))))))))), 0'(1(1(3(1(2(3(3(z0)))))))), 1'(1(3(1(2(3(3(z0))))))), 1'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c32(1'(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0)))))))))))))))))), 2'(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))), 2'(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0)))))))))))))))), 0'(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))), 0'(2(1(0(2(1(0(3(1(2(1(1(1(1(z0)))))))))))))), 2'(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))), 1'(0(2(1(0(3(1(2(1(1(1(1(z0)))))))))))), 0'(2(1(0(3(1(2(1(1(1(1(z0))))))))))), 2'(1(0(3(1(2(1(1(1(1(z0)))))))))), 1'(0(3(1(2(1(1(1(1(z0))))))))), 0'(3(1(2(1(1(1(1(z0)))))))), 3'(1(2(1(1(1(1(z0))))))), 1'(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))
   1'(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> c33(2'(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0)))))))))))))))))), 1'(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))), 1'(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0)))))))))))))))), 2'(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))), 1'(1(0(1(0(1(3(3(3(2(2(3(1(3(z0)))))))))))))), 1'(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))), 0'(1(0(1(3(3(3(2(2(3(1(3(z0)))))))))))), 1'(0(1(3(3(3(2(2(3(1(3(z0))))))))))), 0'(1(3(3(3(2(2(3(1(3(z0)))))))))), 1'(3(3(3(2(2(3(1(3(z0))))))))), 3'(3(3(2(2(3(1(3(z0)))))))), 3'(3(2(2(3(1(3(z0))))))), 3'(2(2(3(1(3(z0)))))), 2'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   1'(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> c50(1'(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0)))))))))))))))))), 0'(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))), 1'(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0)))))))))))))))), 0'(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))), 3'(2(0(3(3(1(1(1(1(0(3(3(2(2(z0)))))))))))))), 2'(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))), 0'(3(3(1(1(1(1(0(3(3(2(2(z0)))))))))))), 3'(3(1(1(1(1(0(3(3(2(2(z0))))))))))), 3'(1(1(1(1(0(3(3(2(2(z0)))))))))), 1'(1(1(1(0(3(3(2(2(z0))))))))), 1'(1(1(0(3(3(2(2(z0)))))))), 1'(1(0(3(3(2(2(z0))))))), 1'(0(3(3(2(2(z0)))))), 0'(3(3(2(2(z0))))), 3'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c51(2'(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0)))))))))))))))))), 0'(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))), 3'(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0)))))))))))))))), 0'(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))), 2'(0(0(1(0(3(0(1(1(1(2(0(0(3(z0)))))))))))))), 0'(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))), 0'(1(0(3(0(1(1(1(2(0(0(3(z0)))))))))))), 1'(0(3(0(1(1(1(2(0(0(3(z0))))))))))), 0'(3(0(1(1(1(2(0(0(3(z0)))))))))), 3'(0(1(1(1(2(0(0(3(z0))))))))), 0'(1(1(1(2(0(0(3(z0)))))))), 1'(1(1(2(0(0(3(z0))))))), 1'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   1'(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> c52(1'(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0)))))))))))))))))), 3'(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))), 3'(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0)))))))))))))))), 1'(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))), 0'(3(2(2(2(2(1(3(0(3(2(2(1(3(z0)))))))))))))), 3'(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))), 2'(2(2(2(1(3(0(3(2(2(1(3(z0)))))))))))), 2'(2(2(1(3(0(3(2(2(1(3(z0))))))))))), 2'(2(1(3(0(3(2(2(1(3(z0)))))))))), 2'(1(3(0(3(2(2(1(3(z0))))))))), 1'(3(0(3(2(2(1(3(z0)))))))), 3'(0(3(2(2(1(3(z0))))))), 0'(3(2(2(1(3(z0)))))), 3'(2(2(1(3(z0))))), 2'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> c53(1'(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0)))))))))))))))))), 1'(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))), 2'(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0)))))))))))))))), 2'(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))), 3'(3(3(2(3(1(1(2(3(1(0(2(1(0(z0)))))))))))))), 3'(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))), 3'(2(3(1(1(2(3(1(0(2(1(0(z0)))))))))))), 2'(3(1(1(2(3(1(0(2(1(0(z0))))))))))), 3'(1(1(2(3(1(0(2(1(0(z0)))))))))), 1'(1(2(3(1(0(2(1(0(z0))))))))), 1'(2(3(1(0(2(1(0(z0)))))))), 2'(3(1(0(2(1(0(z0))))))), 3'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> c54(1'(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0)))))))))))))))))), 2'(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))), 1'(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0)))))))))))))))), 2'(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))), 1'(2(1(0(2(1(0(0(2(2(3(2(3(3(z0)))))))))))))), 2'(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))), 1'(0(2(1(0(0(2(2(3(2(3(3(z0)))))))))))), 0'(2(1(0(0(2(2(3(2(3(3(z0))))))))))), 2'(1(0(0(2(2(3(2(3(3(z0)))))))))), 1'(0(0(2(2(3(2(3(3(z0))))))))), 0'(0(2(2(3(2(3(3(z0)))))))), 0'(2(2(3(2(3(3(z0))))))), 2'(2(3(2(3(3(z0)))))), 2'(3(2(3(3(z0))))), 3'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> c55(1'(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0)))))))))))))))))), 1'(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))), 1'(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0)))))))))))))))), 3'(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))), 2'(0(1(0(3(2(3(1(0(1(0(3(2(3(z0)))))))))))))), 0'(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))), 1'(0(3(2(3(1(0(1(0(3(2(3(z0)))))))))))), 0'(3(2(3(1(0(1(0(3(2(3(z0))))))))))), 3'(2(3(1(0(1(0(3(2(3(z0)))))))))), 2'(3(1(0(1(0(3(2(3(z0))))))))), 3'(1(0(1(0(3(2(3(z0)))))))), 1'(0(1(0(3(2(3(z0))))))), 0'(1(0(3(2(3(z0)))))), 1'(0(3(2(3(z0))))), 0'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   1'(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c56(1'(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0)))))))))))))))))), 0'(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))), 2'(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0)))))))))))))))), 3'(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))), 3'(3(3(3(2(1(3(3(0(3(1(1(3(3(z0)))))))))))))), 3'(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))), 3'(3(2(1(3(3(0(3(1(1(3(3(z0)))))))))))), 3'(2(1(3(3(0(3(1(1(3(3(z0))))))))))), 2'(1(3(3(0(3(1(1(3(3(z0)))))))))), 1'(3(3(0(3(1(1(3(3(z0))))))))), 3'(3(0(3(1(1(3(3(z0)))))))), 3'(0(3(1(1(3(3(z0))))))), 0'(3(1(1(3(3(z0)))))), 3'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   1'(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> c57(1'(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0)))))))))))))))))), 1'(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))), 1'(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0)))))))))))))))), 3'(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))), 2'(2(3(3(0(3(3(1(0(0(1(1(1(0(z0)))))))))))))), 2'(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))), 3'(3(0(3(3(1(0(0(1(1(1(0(z0)))))))))))), 3'(0(3(3(1(0(0(1(1(1(0(z0))))))))))), 0'(3(3(1(0(0(1(1(1(0(z0)))))))))), 3'(3(1(0(0(1(1(1(0(z0))))))))), 3'(1(0(0(1(1(1(0(z0)))))))), 1'(0(0(1(1(1(0(z0))))))), 0'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(z0) -> c58
   2'(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> c59(1'(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0)))))))))))))))))), 1'(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))), 2'(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0)))))))))))))))), 3'(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))), 0'(2(0(3(3(1(2(2(1(0(0(1(1(3(z0)))))))))))))), 2'(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))), 0'(3(3(1(2(2(1(0(0(1(1(3(z0)))))))))))), 3'(3(1(2(2(1(0(0(1(1(3(z0))))))))))), 3'(1(2(2(1(0(0(1(1(3(z0)))))))))), 1'(2(2(1(0(0(1(1(3(z0))))))))), 2'(2(1(0(0(1(1(3(z0)))))))), 2'(1(0(0(1(1(3(z0))))))), 1'(0(0(1(1(3(z0)))))), 0'(0(1(1(3(z0))))), 0'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   2'(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c60(2'(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0)))))))))))))))))), 2'(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))), 1'(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0)))))))))))))))), 2'(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))), 0'(3(0(0(2(0(3(3(3(3(3(3(1(0(z0)))))))))))))), 3'(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))), 0'(0(2(0(3(3(3(3(3(3(1(0(z0)))))))))))), 0'(2(0(3(3(3(3(3(3(1(0(z0))))))))))), 2'(0(3(3(3(3(3(3(1(0(z0)))))))))), 0'(3(3(3(3(3(3(1(0(z0))))))))), 3'(3(3(3(3(3(1(0(z0)))))))), 3'(3(3(3(3(1(0(z0))))))), 3'(3(3(3(1(0(z0)))))), 3'(3(3(1(0(z0))))), 3'(3(1(0(z0)))), 3'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> c61(2'(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0)))))))))))))))))), 3'(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))), 2'(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0)))))))))))))))), 0'(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))), 3'(2(0(2(2(0(3(1(2(1(1(0(0(0(z0)))))))))))))), 2'(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))), 0'(2(2(0(3(1(2(1(1(0(0(0(z0)))))))))))), 2'(2(0(3(1(2(1(1(0(0(0(z0))))))))))), 2'(0(3(1(2(1(1(0(0(0(z0)))))))))), 0'(3(1(2(1(1(0(0(0(z0))))))))), 3'(1(2(1(1(0(0(0(z0)))))))), 1'(2(1(1(0(0(0(z0))))))), 2'(1(1(0(0(0(z0)))))), 1'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> c62(2'(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0)))))))))))))))))), 0'(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))), 3'(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0)))))))))))))))), 3'(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))), 1'(1(1(1(1(1(1(1(2(3(2(0(0(0(z0)))))))))))))), 1'(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))), 1'(1(1(1(1(1(2(3(2(0(0(0(z0)))))))))))), 1'(1(1(1(1(2(3(2(0(0(0(z0))))))))))), 1'(1(1(1(2(3(2(0(0(0(z0)))))))))), 1'(1(1(2(3(2(0(0(0(z0))))))))), 1'(1(2(3(2(0(0(0(z0)))))))), 1'(2(3(2(0(0(0(z0))))))), 2'(3(2(0(0(0(z0)))))), 3'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> c63(2'(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0)))))))))))))))))), 2'(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))), 0'(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0)))))))))))))))), 2'(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))), 3'(0(0(3(2(0(0(3(0(1(2(1(2(2(z0)))))))))))))), 0'(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))), 0'(3(2(0(0(3(0(1(2(1(2(2(z0)))))))))))), 3'(2(0(0(3(0(1(2(1(2(2(z0))))))))))), 2'(0(0(3(0(1(2(1(2(2(z0)))))))))), 0'(0(3(0(1(2(1(2(2(z0))))))))), 0'(3(0(1(2(1(2(2(z0)))))))), 3'(0(1(2(1(2(2(z0))))))), 0'(1(2(1(2(2(z0)))))), 1'(2(1(2(2(z0))))), 2'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c64(1'(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0)))))))))))))))))), 0'(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))), 0'(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0)))))))))))))))), 0'(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))), 3'(1(0(3(2(1(3(3(0(0(2(1(0(3(z0)))))))))))))), 1'(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))), 0'(3(2(1(3(3(0(0(2(1(0(3(z0)))))))))))), 3'(2(1(3(3(0(0(2(1(0(3(z0))))))))))), 2'(1(3(3(0(0(2(1(0(3(z0)))))))))), 1'(3(3(0(0(2(1(0(3(z0))))))))), 3'(3(0(0(2(1(0(3(z0)))))))), 3'(0(0(2(1(0(3(z0))))))), 0'(0(2(1(0(3(z0)))))), 0'(2(1(0(3(z0))))), 2'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c65(2'(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0)))))))))))))))))), 1'(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))), 0'(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0)))))))))))))))), 3'(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))), 0'(0(3(0(1(2(3(2(1(0(1(3(3(0(z0)))))))))))))), 0'(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))), 3'(0(1(2(3(2(1(0(1(3(3(0(z0)))))))))))), 0'(1(2(3(2(1(0(1(3(3(0(z0))))))))))), 1'(2(3(2(1(0(1(3(3(0(z0)))))))))), 2'(3(2(1(0(1(3(3(0(z0))))))))), 3'(2(1(0(1(3(3(0(z0)))))))), 2'(1(0(1(3(3(0(z0))))))), 1'(0(1(3(3(0(z0)))))), 0'(1(3(3(0(z0))))), 1'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> c66(2'(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0)))))))))))))))))), 1'(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))), 3'(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0)))))))))))))))), 2'(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))), 3'(0(3(1(1(1(0(3(3(2(2(0(3(3(z0)))))))))))))), 0'(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))), 3'(1(1(1(0(3(3(2(2(0(3(3(z0)))))))))))), 1'(1(1(0(3(3(2(2(0(3(3(z0))))))))))), 1'(1(0(3(3(2(2(0(3(3(z0)))))))))), 1'(0(3(3(2(2(0(3(3(z0))))))))), 0'(3(3(2(2(0(3(3(z0)))))))), 3'(3(2(2(0(3(3(z0))))))), 3'(2(2(0(3(3(z0)))))), 2'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> c67(2'(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0)))))))))))))))))), 2'(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))), 1'(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0)))))))))))))))), 2'(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))), 1'(0(1(2(1(2(2(3(3(2(2(1(2(3(z0)))))))))))))), 0'(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))), 1'(2(1(2(2(3(3(2(2(1(2(3(z0)))))))))))), 2'(1(2(2(3(3(2(2(1(2(3(z0))))))))))), 1'(2(2(3(3(2(2(1(2(3(z0)))))))))), 2'(2(3(3(2(2(1(2(3(z0))))))))), 2'(3(3(2(2(1(2(3(z0)))))))), 3'(3(2(2(1(2(3(z0))))))), 3'(2(2(1(2(3(z0)))))), 2'(2(1(2(3(z0))))), 2'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> c68(1'(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0)))))))))))))))))), 2'(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))), 1'(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0)))))))))))))))), 2'(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))), 1'(2(2(0(2(0(2(3(1(0(1(1(1(2(z0)))))))))))))), 2'(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))), 2'(0(2(0(2(3(1(0(1(1(1(2(z0)))))))))))), 0'(2(0(2(3(1(0(1(1(1(2(z0))))))))))), 2'(0(2(3(1(0(1(1(1(2(z0)))))))))), 0'(2(3(1(0(1(1(1(2(z0))))))))), 2'(3(1(0(1(1(1(2(z0)))))))), 3'(1(0(1(1(1(2(z0))))))), 1'(0(1(1(1(2(z0)))))), 0'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(z0) -> c69
   3'(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> c70(1'(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))), 3'(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0)))))))))))))))), 3'(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))), 3'(3(3(0(1(0(3(0(1(1(0(3(3(3(z0)))))))))))))), 3'(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))), 3'(0(1(0(3(0(1(1(0(3(3(3(z0)))))))))))), 0'(1(0(3(0(1(1(0(3(3(3(z0))))))))))), 1'(0(3(0(1(1(0(3(3(3(z0)))))))))), 0'(3(0(1(1(0(3(3(3(z0))))))))), 3'(0(1(1(0(3(3(3(z0)))))))), 0'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c71(1'(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0)))))))))))))))))), 1'(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))), 2'(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0)))))))))))))))), 3'(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))), 3'(0(0(3(3(3(2(1(2(1(2(3(2(2(z0)))))))))))))), 0'(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))), 0'(3(3(3(2(1(2(1(2(3(2(2(z0)))))))))))), 3'(3(3(2(1(2(1(2(3(2(2(z0))))))))))), 3'(3(2(1(2(1(2(3(2(2(z0)))))))))), 3'(2(1(2(1(2(3(2(2(z0))))))))), 2'(1(2(1(2(3(2(2(z0)))))))), 1'(2(1(2(3(2(2(z0))))))), 2'(1(2(3(2(2(z0)))))), 1'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> c72(3'(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0)))))))))))))))))), 1'(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))), 0'(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0)))))))))))))))), 3'(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))), 1'(3(3(3(0(1(0(0(1(2(0(3(3(0(z0)))))))))))))), 3'(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))), 3'(3(0(1(0(0(1(2(0(3(3(0(z0)))))))))))), 3'(0(1(0(0(1(2(0(3(3(0(z0))))))))))), 0'(1(0(0(1(2(0(3(3(0(z0)))))))))), 1'(0(0(1(2(0(3(3(0(z0))))))))), 0'(0(1(2(0(3(3(0(z0)))))))), 0'(1(2(0(3(3(0(z0))))))), 1'(2(0(3(3(0(z0)))))), 2'(0(3(3(0(z0))))), 0'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> c73(3'(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0)))))))))))))))))), 3'(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))), 1'(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0)))))))))))))))), 2'(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))), 3'(2(1(1(3(3(1(2(1(1(2(3(3(1(z0)))))))))))))), 2'(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))), 1'(1(3(3(1(2(1(1(2(3(3(1(z0)))))))))))), 1'(3(3(1(2(1(1(2(3(3(1(z0))))))))))), 3'(3(1(2(1(1(2(3(3(1(z0)))))))))), 3'(1(2(1(1(2(3(3(1(z0))))))))), 1'(2(1(1(2(3(3(1(z0)))))))), 2'(1(1(2(3(3(1(z0))))))), 1'(1(2(3(3(1(z0)))))), 1'(2(3(3(1(z0))))), 2'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c74(3'(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0)))))))))))))))))), 0'(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))), 2'(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0)))))))))))))))), 3'(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))), 0'(0(2(2(0(2(3(0(1(0(2(0(3(0(z0)))))))))))))), 0'(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))), 2'(2(0(2(3(0(1(0(2(0(3(0(z0)))))))))))), 2'(0(2(3(0(1(0(2(0(3(0(z0))))))))))), 0'(2(3(0(1(0(2(0(3(0(z0)))))))))), 2'(3(0(1(0(2(0(3(0(z0))))))))), 3'(0(1(0(2(0(3(0(z0)))))))), 0'(1(0(2(0(3(0(z0))))))), 1'(0(2(0(3(0(z0)))))), 0'(2(0(3(0(z0))))), 2'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   3'(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
S tuples:
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   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_18, c69, 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:
   1'(z0) -> c28
   2'(z0) -> c58
   0'(z0) -> c8
   3'(z0) -> c69

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

(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> c80(3'(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))))))), 1'(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))), 3'(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))))), 1'(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))), 3'(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))), 0'(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))), 3'(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))), 3'(3(1(0(1(0(0(0(3(0(1(z0))))))))))), 3'(1(0(1(0(0(0(3(0(1(z0)))))))))), 1'(0(1(0(0(0(3(0(1(z0))))))))), 0'(1(0(0(0(3(0(1(z0)))))))), 1'(0(0(0(3(0(1(z0))))))), 0'(0(0(3(0(1(z0)))))), 0'(0(3(0(1(z0))))), 0'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c81(3'(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))))))), 3'(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))), 2'(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))))), 0'(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))), 3'(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))), 3'(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))), 3'(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))), 3'(1(2(1(0(0(3(2(0(2(0(z0))))))))))), 1'(2(1(0(0(3(2(0(2(0(z0)))))))))), 2'(1(0(0(3(2(0(2(0(z0))))))))), 1'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c82(3'(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))))), 1'(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))), 3'(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))), 3'(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))), 3'(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))), 1'(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))), 1'(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))), 0'(2(2(3(2(1(0(3(0(3(3(z0))))))))))), 2'(2(3(2(1(0(3(0(3(3(z0)))))))))), 2'(3(2(1(0(3(0(3(3(z0))))))))), 3'(2(1(0(3(0(3(3(z0)))))))), 2'(1(0(3(0(3(3(z0))))))), 1'(0(3(0(3(3(z0)))))), 0'(3(0(3(3(z0))))), 3'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> c83(3'(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))))), 2'(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))), 3'(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))), 1'(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))), 0'(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))), 2'(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))), 0'(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))), 2'(1(0(2(3(1(0(3(3(3(0(z0))))))))))), 1'(0(2(3(1(0(3(3(3(0(z0)))))))))), 0'(2(3(1(0(3(3(3(0(z0))))))))), 2'(3(1(0(3(3(3(0(z0)))))))), 3'(1(0(3(3(3(0(z0))))))), 1'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))))), 1'(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))), 3'(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))), 1'(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))), 2'(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))), 1'(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))), 0'(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))), 1'(2(3(2(3(3(3(2(0(2(0(z0))))))))))), 2'(3(2(3(3(3(2(0(2(0(z0)))))))))), 3'(2(3(3(3(2(0(2(0(z0))))))))), 2'(3(3(3(2(0(2(0(z0)))))))), 3'(3(3(2(0(2(0(z0))))))), 3'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c85(3'(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))))), 1'(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))), 0'(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))), 2'(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))), 0'(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))), 1'(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))), 3'(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(3(2(2(3(3(3(2(z0))))))))))), 3'(0(0(3(2(2(3(3(3(2(z0)))))))))), 0'(0(3(2(2(3(3(3(2(z0))))))))), 0'(3(2(2(3(3(3(2(z0)))))))), 3'(2(2(3(3(3(2(z0))))))), 2'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
S tuples:
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   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c20(0'(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))))), 1'(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))), 0'(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))), 0'(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))), 3'(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))), 0'(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))), 0'(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))), 3'(0(2(0(3(3(2(1(3(1(3(z0))))))))))), 0'(2(0(3(3(2(1(3(1(3(z0)))))))))), 2'(0(3(3(2(1(3(1(3(z0))))))))), 0'(3(3(2(1(3(1(3(z0)))))))), 3'(3(2(1(3(1(3(z0))))))), 3'(2(1(3(1(3(z0)))))), 2'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c82(3'(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))))), 1'(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))), 3'(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))), 3'(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))), 3'(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))), 1'(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))), 1'(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))), 0'(2(2(3(2(1(0(3(0(3(3(z0))))))))))), 2'(2(3(2(1(0(3(0(3(3(z0)))))))))), 2'(3(2(1(0(3(0(3(3(z0))))))))), 3'(2(1(0(3(0(3(3(z0)))))))), 2'(1(0(3(0(3(3(z0))))))), 1'(0(3(0(3(3(z0)))))), 0'(3(0(3(3(z0))))), 3'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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, 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, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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


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(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c85(3'(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))))), 1'(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))), 0'(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))), 2'(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))), 0'(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))), 1'(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))), 3'(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(3(2(2(3(3(3(2(z0))))))))))), 3'(0(0(3(2(2(3(3(3(2(z0)))))))))), 0'(0(3(2(2(3(3(3(2(z0))))))))), 0'(3(2(2(3(3(3(2(z0)))))))), 3'(2(2(3(3(3(2(z0))))))), 2'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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:
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> c83(3'(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))))), 2'(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))), 3'(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))), 1'(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))), 0'(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))), 2'(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))), 0'(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))), 2'(1(0(2(3(1(0(3(3(3(0(z0))))))))))), 1'(0(2(3(1(0(3(3(3(0(z0)))))))))), 0'(2(3(1(0(3(3(3(0(z0))))))))), 2'(3(1(0(3(3(3(0(z0)))))))), 3'(1(0(3(3(3(0(z0))))))), 1'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))))), 1'(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))), 3'(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))), 1'(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))), 2'(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))), 1'(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))), 0'(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))), 1'(2(3(2(3(3(3(2(0(2(0(z0))))))))))), 2'(3(2(3(3(3(2(0(2(0(z0)))))))))), 3'(2(3(3(3(2(0(2(0(z0))))))))), 2'(3(3(3(2(0(2(0(z0)))))))), 3'(3(3(2(0(2(0(z0))))))), 3'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c85(3'(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))))), 1'(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))), 0'(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))), 2'(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))), 0'(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))), 1'(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))), 3'(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(3(2(2(3(3(3(2(z0))))))))))), 3'(0(0(3(2(2(3(3(3(2(z0)))))))))), 0'(0(3(2(2(3(3(3(2(z0))))))))), 0'(3(2(2(3(3(3(2(z0)))))))), 3'(2(2(3(3(3(2(z0))))))), 2'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(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_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   0'(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c21(0'(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))))))), 2'(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))), 3'(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))))), 0'(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))), 2'(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))), 0'(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))), 1'(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))), 0'(3(0(1(0(2(0(1(3(3(3(z0))))))))))), 3'(0(1(0(2(0(1(3(3(3(z0)))))))))), 0'(1(0(2(0(1(3(3(3(z0))))))))), 1'(0(2(0(1(3(3(3(z0)))))))), 0'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> c79(3'(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0)))))))))))))))))), 3'(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))), 1'(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0)))))))))))))))), 3'(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))), 2'(1(3(3(1(1(2(1(3(3(1(2(3(3(z0)))))))))))))), 1'(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))), 3'(3(1(1(2(1(3(3(1(2(3(3(z0)))))))))))), 3'(1(1(2(1(3(3(1(2(3(3(z0))))))))))), 1'(1(2(1(3(3(1(2(3(3(z0)))))))))), 1'(2(1(3(3(1(2(3(3(z0))))))))), 2'(1(3(3(1(2(3(3(z0)))))))), 1'(3(3(1(2(3(3(z0))))))), 3'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> c80(3'(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))))))), 1'(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))), 3'(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))))), 1'(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))), 3'(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))), 0'(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))), 3'(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))), 3'(3(1(0(1(0(0(0(3(0(1(z0))))))))))), 3'(1(0(1(0(0(0(3(0(1(z0)))))))))), 1'(0(1(0(0(0(3(0(1(z0))))))))), 0'(1(0(0(0(3(0(1(z0)))))))), 1'(0(0(0(3(0(1(z0))))))), 0'(0(0(3(0(1(z0)))))), 0'(0(3(0(1(z0))))), 0'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c81(3'(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))))))), 3'(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))), 2'(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))))), 0'(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))), 3'(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))), 3'(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))), 3'(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))), 3'(1(2(1(0(0(3(2(0(2(0(z0))))))))))), 1'(2(1(0(0(3(2(0(2(0(z0)))))))))), 2'(1(0(0(3(2(0(2(0(z0))))))))), 1'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c82(3'(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))))), 1'(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))), 3'(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))), 3'(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))), 3'(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))), 1'(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))), 1'(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))), 0'(2(2(3(2(1(0(3(0(3(3(z0))))))))))), 2'(2(3(2(1(0(3(0(3(3(z0)))))))))), 2'(3(2(1(0(3(0(3(3(z0))))))))), 3'(2(1(0(3(0(3(3(z0)))))))), 2'(1(0(3(0(3(3(z0))))))), 1'(0(3(0(3(3(z0)))))), 0'(3(0(3(3(z0))))), 3'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> c83(3'(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))))), 2'(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))), 3'(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))), 1'(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))), 0'(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))), 2'(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))), 0'(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))), 2'(1(0(2(3(1(0(3(3(3(0(z0))))))))))), 1'(0(2(3(1(0(3(3(3(0(z0)))))))))), 0'(2(3(1(0(3(3(3(0(z0))))))))), 2'(3(1(0(3(3(3(0(z0)))))))), 3'(1(0(3(3(3(0(z0))))))), 1'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))))), 1'(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))), 3'(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))), 1'(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))), 2'(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))), 1'(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))), 0'(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))), 1'(2(3(2(3(3(3(2(0(2(0(z0))))))))))), 2'(3(2(3(3(3(2(0(2(0(z0)))))))))), 3'(2(3(3(3(2(0(2(0(z0))))))))), 2'(3(3(3(2(0(2(0(z0)))))))), 3'(3(3(2(0(2(0(z0))))))), 3'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c85(3'(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))))), 1'(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))), 0'(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))), 2'(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))), 0'(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))), 1'(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))), 3'(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(3(2(2(3(3(3(2(z0))))))))))), 3'(0(0(3(2(2(3(3(3(2(z0)))))))))), 0'(0(3(2(2(3(3(3(2(z0))))))))), 0'(3(2(2(3(3(3(2(z0)))))))), 3'(2(2(3(3(3(2(z0))))))), 2'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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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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, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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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(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> c83(3'(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))))), 2'(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))), 3'(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))), 1'(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))), 0'(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))), 2'(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))), 0'(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))), 2'(1(0(2(3(1(0(3(3(3(0(z0))))))))))), 1'(0(2(3(1(0(3(3(3(0(z0)))))))))), 0'(2(3(1(0(3(3(3(0(z0))))))))), 2'(3(1(0(3(3(3(0(z0)))))))), 3'(1(0(3(3(3(0(z0))))))), 1'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))))), 1'(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))), 3'(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))), 1'(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))), 2'(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))), 1'(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))), 0'(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))), 1'(2(3(2(3(3(3(2(0(2(0(z0))))))))))), 2'(3(2(3(3(3(2(0(2(0(z0)))))))))), 3'(2(3(3(3(2(0(2(0(z0))))))))), 2'(3(3(3(2(0(2(0(z0)))))))), 3'(3(3(2(0(2(0(z0))))))), 3'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c85(3'(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))))), 1'(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))), 0'(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))), 2'(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))), 0'(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))), 1'(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))), 3'(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(3(2(2(3(3(3(2(z0))))))))))), 3'(0(0(3(2(2(3(3(3(2(z0)))))))))), 0'(0(3(2(2(3(3(3(2(z0))))))))), 0'(3(2(2(3(3(3(2(z0)))))))), 3'(2(2(3(3(3(2(z0))))))), 2'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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


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

(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(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))
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   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   0'(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c21(0'(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))))))), 2'(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))), 3'(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))))), 0'(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))), 2'(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))), 0'(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))), 1'(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))), 0'(3(0(1(0(2(0(1(3(3(3(z0))))))))))), 3'(0(1(0(2(0(1(3(3(3(z0)))))))))), 0'(1(0(2(0(1(3(3(3(z0))))))))), 1'(0(2(0(1(3(3(3(z0)))))))), 0'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> c79(3'(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0)))))))))))))))))), 3'(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))), 1'(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0)))))))))))))))), 3'(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))), 2'(1(3(3(1(1(2(1(3(3(1(2(3(3(z0)))))))))))))), 1'(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))), 3'(3(1(1(2(1(3(3(1(2(3(3(z0)))))))))))), 3'(1(1(2(1(3(3(1(2(3(3(z0))))))))))), 1'(1(2(1(3(3(1(2(3(3(z0)))))))))), 1'(2(1(3(3(1(2(3(3(z0))))))))), 2'(1(3(3(1(2(3(3(z0)))))))), 1'(3(3(1(2(3(3(z0))))))), 3'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> c80(3'(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))))))), 1'(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))), 3'(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))))), 1'(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))), 3'(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))), 0'(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))), 3'(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))), 3'(3(1(0(1(0(0(0(3(0(1(z0))))))))))), 3'(1(0(1(0(0(0(3(0(1(z0)))))))))), 1'(0(1(0(0(0(3(0(1(z0))))))))), 0'(1(0(0(0(3(0(1(z0)))))))), 1'(0(0(0(3(0(1(z0))))))), 0'(0(0(3(0(1(z0)))))), 0'(0(3(0(1(z0))))), 0'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c81(3'(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))))))), 3'(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))), 2'(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))))), 0'(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))), 3'(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))), 3'(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))), 3'(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))), 3'(1(2(1(0(0(3(2(0(2(0(z0))))))))))), 1'(2(1(0(0(3(2(0(2(0(z0)))))))))), 2'(1(0(0(3(2(0(2(0(z0))))))))), 1'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c82(3'(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))))), 1'(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))), 3'(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))), 3'(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))), 3'(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))), 1'(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))), 1'(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))), 0'(2(2(3(2(1(0(3(0(3(3(z0))))))))))), 2'(2(3(2(1(0(3(0(3(3(z0)))))))))), 2'(3(2(1(0(3(0(3(3(z0))))))))), 3'(2(1(0(3(0(3(3(z0)))))))), 2'(1(0(3(0(3(3(z0))))))), 1'(0(3(0(3(3(z0)))))), 0'(3(0(3(3(z0))))), 3'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> c83(3'(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))))), 2'(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))), 3'(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))), 1'(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))), 0'(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))), 2'(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))), 0'(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))), 2'(1(0(2(3(1(0(3(3(3(0(z0))))))))))), 1'(0(2(3(1(0(3(3(3(0(z0)))))))))), 0'(2(3(1(0(3(3(3(0(z0))))))))), 2'(3(1(0(3(3(3(0(z0)))))))), 3'(1(0(3(3(3(0(z0))))))), 1'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))))), 1'(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))), 3'(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))), 1'(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))), 2'(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))), 1'(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))), 0'(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))), 1'(2(3(2(3(3(3(2(0(2(0(z0))))))))))), 2'(3(2(3(3(3(2(0(2(0(z0)))))))))), 3'(2(3(3(3(2(0(2(0(z0))))))))), 2'(3(3(3(2(0(2(0(z0)))))))), 3'(3(3(2(0(2(0(z0))))))), 3'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c85(3'(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))))), 1'(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))), 0'(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))), 2'(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))), 0'(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))), 1'(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))), 3'(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(3(2(2(3(3(3(2(z0))))))))))), 3'(0(0(3(2(2(3(3(3(2(z0)))))))))), 0'(0(3(2(2(3(3(3(2(z0))))))))), 0'(3(2(2(3(3(3(2(z0)))))))), 3'(2(2(3(3(3(2(z0))))))), 2'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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:
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   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(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:   c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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


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(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c85(3'(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))))), 1'(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))), 0'(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))), 2'(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))), 0'(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))), 1'(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))), 3'(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(3(2(2(3(3(3(2(z0))))))))))), 3'(0(0(3(2(2(3(3(3(2(z0)))))))))), 0'(0(3(2(2(3(3(3(2(z0))))))))), 0'(3(2(2(3(3(3(2(z0)))))))), 3'(2(2(3(3(3(2(z0))))))), 2'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   3'(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c82(3'(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))))), 1'(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))), 3'(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))), 3'(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))), 3'(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))), 1'(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))), 1'(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))), 0'(2(2(3(2(1(0(3(0(3(3(z0))))))))))), 2'(2(3(2(1(0(3(0(3(3(z0)))))))))), 2'(3(2(1(0(3(0(3(3(z0))))))))), 3'(2(1(0(3(0(3(3(z0)))))))), 2'(1(0(3(0(3(3(z0))))))), 1'(0(3(0(3(3(z0)))))), 0'(3(0(3(3(z0))))), 3'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> c83(3'(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))))), 2'(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))), 3'(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))), 1'(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))), 0'(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))), 2'(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))), 0'(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))), 2'(1(0(2(3(1(0(3(3(3(0(z0))))))))))), 1'(0(2(3(1(0(3(3(3(0(z0)))))))))), 0'(2(3(1(0(3(3(3(0(z0))))))))), 2'(3(1(0(3(3(3(0(z0)))))))), 3'(1(0(3(3(3(0(z0))))))), 1'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))))), 1'(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))), 3'(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))), 1'(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))), 2'(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))), 1'(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))), 0'(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))), 1'(2(3(2(3(3(3(2(0(2(0(z0))))))))))), 2'(3(2(3(3(3(2(0(2(0(z0)))))))))), 3'(2(3(3(3(2(0(2(0(z0))))))))), 2'(3(3(3(2(0(2(0(z0)))))))), 3'(3(3(2(0(2(0(z0))))))), 3'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c85(3'(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))))), 1'(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))), 0'(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))), 2'(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))), 0'(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))), 1'(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))), 3'(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(3(2(2(3(3(3(2(z0))))))))))), 3'(0(0(3(2(2(3(3(3(2(z0)))))))))), 0'(0(3(2(2(3(3(3(2(z0))))))))), 0'(3(2(2(3(3(3(2(z0)))))))), 3'(2(2(3(3(3(2(z0))))))), 2'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c20(0'(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))))), 1'(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))), 0'(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))), 0'(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))), 3'(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))), 0'(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))), 0'(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))), 3'(0(2(0(3(3(2(1(3(1(3(z0))))))))))), 0'(2(0(3(3(2(1(3(1(3(z0)))))))))), 2'(0(3(3(2(1(3(1(3(z0))))))))), 0'(3(3(2(1(3(1(3(z0)))))))), 3'(3(2(1(3(1(3(z0))))))), 3'(2(1(3(1(3(z0)))))), 2'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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:
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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:   c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25_18, c26_18, c27_18, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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


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

(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)))

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

(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
   0(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))))
   0(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 0(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))))
   0(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 0(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> 3(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))))
Tuples:
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   3'(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> c80(3'(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))))))), 1'(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))), 3'(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))))), 1'(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))), 3'(0(3(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))))), 0'(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))), 3'(3(3(1(0(1(0(0(0(3(0(1(z0)))))))))))), 3'(3(1(0(1(0(0(0(3(0(1(z0))))))))))), 3'(1(0(1(0(0(0(3(0(1(z0)))))))))), 1'(0(1(0(0(0(3(0(1(z0))))))))), 0'(1(0(0(0(3(0(1(z0)))))))), 1'(0(0(0(3(0(1(z0))))))), 0'(0(0(3(0(1(z0)))))), 0'(0(3(0(1(z0))))), 0'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> c81(3'(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))))))), 3'(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))), 2'(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))))), 0'(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))), 3'(3(3(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))))), 3'(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))), 3'(3(1(2(1(0(0(3(2(0(2(0(z0)))))))))))), 3'(1(2(1(0(0(3(2(0(2(0(z0))))))))))), 1'(2(1(0(0(3(2(0(2(0(z0)))))))))), 2'(1(0(0(3(2(0(2(0(z0))))))))), 1'(0(0(3(2(0(2(0(z0)))))))), 0'(0(3(2(0(2(0(z0))))))), 0'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c82(3'(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))))), 1'(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))), 3'(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))))), 3'(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))), 3'(1(1(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))))), 1'(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))), 1'(0(2(2(3(2(1(0(3(0(3(3(z0)))))))))))), 0'(2(2(3(2(1(0(3(0(3(3(z0))))))))))), 2'(2(3(2(1(0(3(0(3(3(z0)))))))))), 2'(3(2(1(0(3(0(3(3(z0))))))))), 3'(2(1(0(3(0(3(3(z0)))))))), 2'(1(0(3(0(3(3(z0))))))), 1'(0(3(0(3(3(z0)))))), 0'(3(0(3(3(z0))))), 3'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> c83(3'(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))))), 2'(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))), 3'(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))))), 1'(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))), 0'(2(0(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))))), 2'(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))), 0'(2(1(0(2(3(1(0(3(3(3(0(z0)))))))))))), 2'(1(0(2(3(1(0(3(3(3(0(z0))))))))))), 1'(0(2(3(1(0(3(3(3(0(z0)))))))))), 0'(2(3(1(0(3(3(3(0(z0))))))))), 2'(3(1(0(3(3(3(0(z0)))))))), 3'(1(0(3(3(3(0(z0))))))), 1'(0(3(3(3(0(z0)))))), 0'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
   3'(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> c84(3'(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))))), 1'(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))), 3'(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))))), 1'(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))), 2'(1(0(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))))), 1'(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))), 0'(1(2(3(2(3(3(3(2(0(2(0(z0)))))))))))), 1'(2(3(2(3(3(3(2(0(2(0(z0))))))))))), 2'(3(2(3(3(3(2(0(2(0(z0)))))))))), 3'(2(3(3(3(2(0(2(0(z0))))))))), 2'(3(3(3(2(0(2(0(z0)))))))), 3'(3(3(2(0(2(0(z0))))))), 3'(3(2(0(2(0(z0)))))), 3'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> c85(3'(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))))), 1'(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))), 0'(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))))), 2'(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))), 0'(1(3(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))))), 1'(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))), 3'(3(3(0(0(3(2(2(3(3(3(2(z0)))))))))))), 3'(3(0(0(3(2(2(3(3(3(2(z0))))))))))), 3'(0(0(3(2(2(3(3(3(2(z0)))))))))), 0'(0(3(2(2(3(3(3(2(z0))))))))), 0'(3(2(2(3(3(3(2(z0)))))))), 3'(2(2(3(3(3(2(z0))))))), 2'(2(3(3(3(2(z0)))))), 2'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> c86(3'(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))))), 3'(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))), 0'(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))))), 3'(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))), 2'(0(1(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))))), 0'(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))), 1'(3(1(0(3(1(3(3(2(1(3(3(z0)))))))))))), 3'(1(0(3(1(3(3(2(1(3(3(z0))))))))))), 1'(0(3(1(3(3(2(1(3(3(z0)))))))))), 0'(3(1(3(3(2(1(3(3(z0))))))))), 3'(1(3(3(2(1(3(3(z0)))))))), 1'(3(3(2(1(3(3(z0))))))), 3'(3(2(1(3(3(z0)))))), 3'(2(1(3(3(z0))))), 2'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c87(3'(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))))), 0'(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))), 1'(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))))), 0'(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))), 0'(2(0(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))))), 2'(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))), 0'(2(0(2(0(0(3(3(0(3(3(3(z0)))))))))))), 2'(0(2(0(0(3(3(0(3(3(3(z0))))))))))), 0'(2(0(0(3(3(0(3(3(3(z0)))))))))), 2'(0(0(3(3(0(3(3(3(z0))))))))), 0'(0(3(3(0(3(3(3(z0)))))))), 0'(3(3(0(3(3(3(z0))))))), 3'(3(0(3(3(3(z0)))))), 3'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c88(3'(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))))), 0'(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))), 2'(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))))), 2'(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))), 3'(2(3(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))))), 2'(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))), 3'(0(0(1(0(3(0(3(0(2(0(3(z0)))))))))))), 0'(0(1(0(3(0(3(0(2(0(3(z0))))))))))), 0'(1(0(3(0(3(0(2(0(3(z0)))))))))), 1'(0(3(0(3(0(2(0(3(z0))))))))), 0'(3(0(3(0(2(0(3(z0)))))))), 3'(0(3(0(2(0(3(z0))))))), 0'(3(0(2(0(3(z0)))))), 3'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> c89(2'(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))))), 2'(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))), 1'(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))))), 0'(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))), 2'(1(0(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))))), 1'(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))), 0'(1(0(3(3(3(1(3(3(3(3(3(z0)))))))))))), 1'(0(3(3(3(1(3(3(3(3(3(z0))))))))))), 0'(3(3(3(1(3(3(3(3(3(z0)))))))))), 3'(3(3(1(3(3(3(3(3(z0))))))))), 3'(3(1(3(3(3(3(3(z0)))))))), 3'(1(3(3(3(3(3(z0))))))), 1'(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_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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:
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   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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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, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(z0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(z0))))))))))), 3'(0(2(1(1(0(3(3(3(2(z0)))))))))), 0'(2(1(1(0(3(3(3(2(z0))))))))), 2'(1(1(0(3(3(3(2(z0)))))))), 1'(1(0(3(3(3(2(z0))))))), 1'(0(3(3(3(2(z0)))))), 0'(3(3(3(2(z0))))), 3'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0)) by 
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(c_3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(c_3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(c_3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(c_2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(c_1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(c_2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(c_0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(c_3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(c_0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(c_2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(c_1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(c_1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(c_0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
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   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))))), 3'(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))), 0'(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))), 2'(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))), 1'(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))), 1'(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))), 0'(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))), 3'(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))), 3'(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))), 3'(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))), 2'(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))), 3'(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))), 0'(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))), 2'(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))), 1'(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))), 1'(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))), 0'(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))), 3'(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))), 3'(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))), 3'(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))), 2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
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   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
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   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))))
Tuples:
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c90(1'(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))))), 3'(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))), 2'(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))))), 2'(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))), 3'(2(0(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))))), 2'(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))), 0'(0(3(0(1(1(3(3(0(3(3(1(z0)))))))))))), 0'(3(0(1(1(3(3(0(3(3(1(z0))))))))))), 3'(0(1(1(3(3(0(3(3(1(z0)))))))))), 0'(1(1(3(3(0(3(3(1(z0))))))))), 1'(1(3(3(0(3(3(1(z0)))))))), 1'(3(3(0(3(3(1(z0))))))), 3'(3(0(3(3(1(z0)))))), 3'(0(3(3(1(z0))))), 0'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(c_3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(c_2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(c_1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(c_2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(c_0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(c_3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
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   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))), 3'(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))), 0'(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))), 2'(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))), 1'(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))), 1'(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))), 0'(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))), 3'(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))), 3'(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))), 3'(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))), 2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))
S tuples:
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   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c20(0'(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))))), 1'(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))), 0'(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))), 0'(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))), 3'(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))), 0'(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))), 0'(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))), 3'(0(2(0(3(3(2(1(3(1(3(z0))))))))))), 0'(2(0(3(3(2(1(3(1(3(z0)))))))))), 2'(0(3(3(2(1(3(1(3(z0))))))))), 0'(3(3(2(1(3(1(3(z0)))))))), 3'(3(2(1(3(1(3(z0))))))), 3'(2(1(3(1(3(z0)))))), 2'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> c21(0'(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))))))), 2'(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))), 3'(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))))), 0'(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))), 2'(0(1(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))))), 0'(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))), 1'(0(3(0(1(0(2(0(1(3(3(3(z0)))))))))))), 0'(3(0(1(0(2(0(1(3(3(3(z0))))))))))), 3'(0(1(0(2(0(1(3(3(3(z0)))))))))), 0'(1(0(2(0(1(3(3(3(z0))))))))), 1'(0(2(0(1(3(3(3(z0)))))))), 0'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0))))))))))))))))))))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0))))))))))))))))))))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0))))))))))))))))))))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0))))))))))))))))))))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))))))))))), 3'(0(2(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0))))))))))))))))))))))))))), 0'(2(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))))))))), 2'(1(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0))))))))))))))))))))))))), 1'(1(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))))))), 1'(0(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0))))))))))))))))))))))), 0'(3(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))))), 3'(3(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0))))))))))))))))))))), 3'(3(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))), 3'(2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0))))))))))))))))))), 2'(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))))), 3'(0(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))))), 0'(2(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))))), 2'(1(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))))), 1'(1(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))))), 1'(0(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))))), 0'(3(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))))), 3'(3(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))))), 3'(3(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))), 3'(2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0))))))))))))))))))), 2'(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))))), 3'(0(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))))), 0'(2(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))))), 2'(1(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))))), 1'(1(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))))), 1'(0(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))), 0'(3(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))))), 3'(3(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))), 3'(3(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))), 3'(2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))), 2'(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_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, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(z0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(z0))))))))))), 2'(0(0(2(1(2(1(2(0(0(z0)))))))))), 0'(0(2(1(2(1(2(0(0(z0))))))))), 0'(2(1(2(1(2(0(0(z0)))))))), 2'(1(2(1(2(0(0(z0))))))), 1'(2(1(2(0(0(z0)))))), 2'(1(2(0(0(z0))))), 1'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0)) by 
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   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(x0)))))))))))))))))) -> c10(0'(1(c_0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x0)))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x0))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x0)))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(x0))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(x0)))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(x0))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(x0)))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(x0))))))))))), 2'(0(0(2(1(2(1(2(0(0(x0)))))))))), 0'(0(2(1(2(1(2(0(0(x0))))))))), 0'(2(1(2(1(2(0(0(x0)))))))), 2'(1(2(1(2(0(0(x0))))))), 1'(2(1(2(0(0(x0)))))), 2'(1(2(0(0(x0))))), 1'(2(0(0(x0)))), 2'(0(0(x0))), 0'(0(x0)), 0'(x0))
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   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0))))))))))))))))))))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0))))))))))))))))))))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0))))))))))))))))))))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0))))))))))))))))))))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))))))))))))), 2'(0(0(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0))))))))))))))))))))))))))), 0'(0(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))))))))))), 0'(2(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0))))))))))))))))))))))))), 2'(1(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))))))))), 1'(2(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0))))))))))))))))))))))), 2'(1(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))))))), 1'(2(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0))))))))))))))))))))), 2'(0(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))))), 0'(0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0))))))))))))))))))), 0'(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))))
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))), 2'(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))), 0'(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))), 0'(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))), 2'(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))), 1'(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))), 2'(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))), 1'(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))), 2'(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))), 0'(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))), 0'(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(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_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 0(3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(z0))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))))
   0(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 0(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))))
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   0(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))))
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   0(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))))
   0(c_0(c_0(c_3(c_1(c_3(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_3(c_2(c_3(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(1(0(3(0(1(0(2(0(1(3(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 0(3(2(0(0(1(2(0(0(3(3(0(1(1(3(1(3(3(z0))))))))))))))))))
   0(c_3(c_0(c_0(c_2(c_0(c_0(c_2(c_3(c_3(c_0(c_2(c_1(c_3(c_0(c_3(c_2(c_2(z0)))))))))))))))))) -> 0(3(0(3(3(0(3(0(2(2(1(3(2(0(0(0(2(2(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 0(3(1(2(2(2(0(3(0(0(1(2(3(0(2(3(3(3(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_3(c_0(c_1(c_0(c_0(c_2(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 2(1(2(3(1(2(1(0(0(1(0(0(3(3(0(3(3(0(z0))))))))))))))))))
   0(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_3(c_3(c_1(c_2(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(2(1(3(3(3(1(0(0(3(3(2(1(1(1(0(2(0(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_2(c_2(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_0(c_3(c_0(z0)))))))))))))))))) -> 2(0(1(2(2(0(3(3(1(1(3(2(3(0(3(2(2(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_3(c_1(c_1(c_1(c_3(c_1(c_1(c_2(c_0(c_2(c_1(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(1(2(3(0(1(1(1(2(3(0(3(0(3(3(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_1(c_1(c_0(c_2(c_2(c_2(c_3(c_2(c_0(c_1(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(2(1(2(2(0(0(1(1(0(1(1(3(1(2(3(3(z0))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(2(0(0(2(1(0(2(1(0(3(1(2(1(1(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_2(c_3(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 2(1(1(2(1(1(0(1(0(1(3(3(3(2(2(3(1(3(z0))))))))))))))))))
   1(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_3(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_3(z0)))))))))))))))))) -> 1(2(2(2(3(3(1(0(3(2(0(3(2(1(0(2(3(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 1(1(1(1(2(1(1(0(0(3(2(0(0(2(1(3(3(0(z0))))))))))))))))))
   1(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_3(c_2(c_0(c_3(c_1(c_0(c_1(c_2(c_0(z0)))))))))))))))))) -> 1(2(3(0(1(3(1(0(3(0(3(3(1(1(2(1(0(3(z0))))))))))))))))))
   1(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_1(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(3(3(1(1(2(3(1(1(0(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_3(c_1(c_3(c_0(c_1(c_2(c_0(c_1(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> 2(2(0(1(0(0(2(1(0(3(0(3(1(0(0(3(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_3(c_0(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(0(2(3(2(1(0(1(2(3(2(0(0(1(0(2(3(1(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_0(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 1(2(1(0(3(2(3(1(0(1(0(3(1(2(2(3(0(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_0(c_1(c_3(c_1(c_3(c_3(c_3(c_0(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 1(2(0(0(3(1(2(1(3(1(2(0(3(3(3(0(0(0(z0))))))))))))))))))
   1(c_2(c_3(c_0(c_2(c_0(c_2(c_3(c_2(c_0(c_0(c_1(c_0(c_3(c_0(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(2(3(0(0(1(0(0(0(3(2(3(2(0(0(1(2(3(z0))))))))))))))))))
   1(c_3(c_0(c_3(c_3(c_0(c_3(c_3(c_1(c_2(c_3(c_0(c_2(c_1(c_2(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(1(2(0(0(3(1(3(0(3(3(2(0(3(3(0(1(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_3(c_2(c_1(c_3(c_1(c_1(c_0(c_3(z0)))))))))))))))))) -> 1(2(1(2(2(3(3(0(1(3(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   1(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_3(c_3(c_0(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(2(0(1(0(0(3(3(3(0(z0))))))))))))))))))
   1(c_3(c_2(c_0(c_1(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(1(0(3(0(1(0(2(1(1(2(3(3(1(2(3(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_3(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(1(3(3(0(3(0(0(1(2(3(3(1(0(3(3(0(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_0(c_3(c_2(c_0(z0)))))))))))))))))) -> 1(1(2(3(1(2(1(2(1(1(0(3(3(2(0(0(1(0(z0))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(3(3(2(1(1(0(3(3(1(0(3(2(1(3(3(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(0(1(0(3(2(0(3(3(1(1(1(1(0(3(3(2(2(z0))))))))))))))))))
   1(c_0(c_0(c_3(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(0(3(0(2(0(0(1(0(3(0(1(1(1(2(0(0(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(c_2(c_3(c_1(c_2(c_2(c_2(c_2(c_1(c_3(z0)))))))))))))))))) -> 1(3(3(1(0(3(2(2(2(2(1(3(0(3(2(2(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_2(c_1(c_3(c_0(c_0(c_2(c_3(c_1(c_1(c_3(c_2(c_2(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(1(2(2(3(3(3(2(3(1(1(2(3(1(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_2(c_3(c_1(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(1(0(2(1(0(0(2(2(3(2(3(3(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(0(1(0(3(2(3(1(0(1(0(3(2(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_3(c_3(c_3(c_0(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(0(2(3(3(3(3(3(2(1(3(3(0(3(1(1(3(3(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_1(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(1(3(2(2(3(3(0(3(3(1(0(0(1(1(1(0(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_3(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_3(c_0(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(1(2(3(0(2(0(3(3(1(2(2(1(0(0(1(1(3(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_3(c_0(c_3(c_1(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 2(2(1(2(0(3(0(0(2(0(3(3(3(3(3(3(1(0(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_3(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(3(2(0(3(2(0(2(2(0(3(1(2(1(1(0(0(0(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_1(c_3(c_0(z0)))))))))))))))))) -> 2(0(3(3(1(1(1(1(1(1(1(1(2(3(2(0(0(0(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_2(c_0(c_0(c_0(c_3(c_2(c_3(c_0(c_2(c_0(c_2(c_2(c_2(z0)))))))))))))))))) -> 2(2(0(2(3(0(0(3(2(0(0(3(0(1(2(1(2(2(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_3(c_1(c_1(c_0(c_0(c_1(c_3(c_1(c_3(c_0(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(0(0(0(3(1(0(3(2(1(3(3(0(0(2(1(0(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_3(c_3(c_0(c_1(c_0(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 2(1(0(3(0(0(3(0(1(2(3(2(1(0(1(3(3(0(z0))))))))))))))))))
   2(c_1(c_0(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(1(3(2(3(0(3(1(1(1(0(3(3(2(2(0(3(3(z0))))))))))))))))))
   2(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(1(2(1(2(2(3(3(2(2(1(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(2(1(2(2(0(2(0(2(3(1(0(1(1(1(2(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_0(c_3(c_1(c_3(c_3(c_3(c_0(c_0(c_1(c_0(c_3(c_3(c_1(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(3(3(3(3(3(0(1(0(3(0(1(1(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_1(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 1(1(2(3(3(0(0(3(3(3(2(1(2(1(2(3(2(2(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(1(0(3(1(3(3(3(0(1(0(0(1(2(0(3(3(0(z0))))))))))))))))))
   3(c_3(c_1(c_2(c_1(c_1(c_1(c_3(c_2(c_1(c_3(c_3(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 3(3(1(2(3(2(1(1(3(3(1(2(1(1(2(3(3(1(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(0(2(3(0(0(2(2(0(2(3(0(1(0(2(0(3(0(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_1(c_3(c_2(c_1(c_3(c_1(c_2(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(3(1(2(2(3(1(2(1(2(3(1(0(0(3(0(z0))))))))))))))))))
   3(c_0(c_2(c_2(c_3(c_3(c_2(c_0(c_3(c_0(c_2(c_2(c_0(c_1(c_3(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(0(2(2(0(3(3(2(2(1(3(2(0(3(2(0(0(2(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_3(c_1(c_0(c_1(c_0(c_0(c_2(c_3(c_2(c_0(c_0(c_3(c_0(z0)))))))))))))))))) -> 3(0(0(0(3(2(0(2(0(0(3(3(1(0(2(1(0(0(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_1(c_3(c_1(c_3(c_1(c_2(c_3(c_0(c_3(c_1(c_0(c_0(c_2(c_0(z0)))))))))))))))))) -> 3(3(3(1(1(2(1(2(1(0(0(0(0(2(3(0(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_1(c_3(c_1(c_1(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(1(3(2(1(3(3(1(1(2(1(3(3(1(2(3(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_3(c_1(c_3(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(0(3(3(3(1(0(1(0(0(0(3(0(1(z0))))))))))))))))))
   3(c_0(c_3(c_3(c_2(c_3(c_2(c_3(c_0(c_2(c_0(c_0(c_3(c_1(c_3(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(0(3(3(3(3(1(2(1(0(0(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_2(c_3(c_2(c_1(c_0(c_1(c_3(c_3(c_0(c_3(c_3(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(1(3(3(3(1(1(0(2(2(3(2(1(0(3(0(3(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_1(c_0(c_0(c_2(c_2(c_3(c_0(c_0(c_1(c_0(c_3(c_1(c_3(z0)))))))))))))))))) -> 3(2(3(1(0(2(0(2(1(0(2(3(1(0(3(3(3(0(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_2(c_3(c_2(c_1(c_1(c_3(c_0(c_1(c_0(c_2(c_2(c_1(c_3(c_0(z0)))))))))))))))))) -> 3(1(3(1(2(1(0(1(2(3(2(3(3(3(2(0(2(0(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_0(c_3(c_3(c_2(c_3(c_1(c_3(c_2(c_0(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(1(0(2(0(1(3(3(3(0(0(3(2(2(3(3(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_3(c_2(c_3(c_2(c_1(c_3(c_0(c_1(c_1(c_3(c_3(c_3(c_0(c_0(c_3(z0)))))))))))))))))) -> 3(3(0(3(2(0(1(3(1(0(3(1(3(3(2(1(3(3(z0))))))))))))))))))
   3(c_0(c_1(c_0(c_3(c_0(c_2(c_3(c_0(c_0(c_2(c_3(c_0(c_2(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 3(0(1(0(0(2(0(2(0(2(0(0(3(3(0(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(0(2(2(3(2(3(0(0(1(0(3(0(3(0(2(0(3(z0))))))))))))))))))
   3(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_3(c_1(c_1(c_3(c_3(c_3(c_3(c_3(c_0(c_0(z0)))))))))))))))))) -> 2(2(1(0(2(1(0(1(0(3(3(3(1(3(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_1(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_3(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(3(2(2(3(2(0(0(3(0(1(1(3(3(0(3(3(1(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> 2(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))))
Tuples:
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_0(c_0(c_2(c_3(c_2(c_1(c_2(c_1(c_3(c_2(c_0(c_0(c_3(c_1(c_2(z0)))))))))))))))))) -> c14(0'(0(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))))), 0'(2(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))))), 2'(1(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))))), 1'(1(2(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))))), 1'(2(2(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))))), 2'(2(0(0(3(0(2(0(3(1(2(3(3(z0))))))))))))), 2'(0(0(3(0(2(0(3(1(2(3(3(z0)))))))))))), 0'(0(3(0(2(0(3(1(2(3(3(z0))))))))))), 0'(3(0(2(0(3(1(2(3(3(z0)))))))))), 3'(0(2(0(3(1(2(3(3(z0))))))))), 0'(2(0(3(1(2(3(3(z0)))))))), 2'(0(3(1(2(3(3(z0))))))), 0'(3(1(2(3(3(z0)))))), 3'(1(2(3(3(z0))))), 1'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_3(c_3(c_2(c_1(c_3(c_2(c_3(c_0(c_2(c_0(z0)))))))))))))))))) -> c15(0'(0(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))))), 0'(3(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))))), 3'(0(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))))), 0'(2(0(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))))), 2'(0(2(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))))), 0'(2(3(3(2(2(0(2(3(3(1(2(3(z0))))))))))))), 2'(3(3(2(2(0(2(3(3(1(2(3(z0)))))))))))), 3'(3(2(2(0(2(3(3(1(2(3(z0))))))))))), 3'(2(2(0(2(3(3(1(2(3(z0)))))))))), 2'(2(0(2(3(3(1(2(3(z0))))))))), 2'(0(2(3(3(1(2(3(z0)))))))), 0'(2(3(3(1(2(3(z0))))))), 2'(3(3(1(2(3(z0)))))), 3'(3(1(2(3(z0))))), 3'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_1(c_3(c_1(c_3(c_3(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c16(1'(0(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))))), 0'(1(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))))), 1'(0(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))))), 0'(1(3(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))))), 1'(3(2(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))))), 3'(2(3(1(3(0(3(3(0(3(1(0(0(z0))))))))))))), 2'(3(1(3(0(3(3(0(3(1(0(0(z0)))))))))))), 3'(1(3(0(3(3(0(3(1(0(0(z0))))))))))), 1'(3(0(3(3(0(3(1(0(0(z0)))))))))), 3'(0(3(3(0(3(1(0(0(z0))))))))), 0'(3(3(0(3(1(0(0(z0)))))))), 3'(3(0(3(1(0(0(z0))))))), 3'(0(3(1(0(0(z0)))))), 0'(3(1(0(0(z0))))), 3'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_3(c_2(c_0(c_3(c_0(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c17(0'(2(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))))), 2'(3(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))))), 3'(3(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))))), 3'(3(0(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))))), 3'(0(0(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))))), 0'(0(0(1(2(0(0(3(1(1(0(3(3(z0))))))))))))), 0'(0(1(2(0(0(3(1(1(0(3(3(z0)))))))))))), 0'(1(2(0(0(3(1(1(0(3(3(z0))))))))))), 1'(2(0(0(3(1(1(0(3(3(z0)))))))))), 2'(0(0(3(1(1(0(3(3(z0))))))))), 0'(0(3(1(1(0(3(3(z0)))))))), 0'(3(1(1(0(3(3(z0))))))), 3'(1(1(0(3(3(z0)))))), 1'(1(0(3(3(z0))))), 1'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_3(c_2(c_1(c_1(c_2(c_0(c_1(c_3(c_2(c_2(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c18(0'(2(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))))), 2'(3(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))))), 3'(1(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))))), 1'(0(1(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))))), 0'(1(2(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))))), 1'(2(1(0(0(1(2(2(0(3(3(1(1(z0))))))))))))), 2'(1(0(0(1(2(2(0(3(3(1(1(z0)))))))))))), 1'(0(0(1(2(2(0(3(3(1(1(z0))))))))))), 0'(0(1(2(2(0(3(3(1(1(z0)))))))))), 0'(1(2(2(0(3(3(1(1(z0))))))))), 1'(2(2(0(3(3(1(1(z0)))))))), 2'(2(0(3(3(1(1(z0))))))), 2'(0(3(3(1(1(z0)))))), 0'(3(3(1(1(z0))))), 3'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_2(c_2(c_3(c_1(c_3(c_3(c_3(c_2(c_0(c_0(c_1(c_3(c_3(c_0(z0)))))))))))))))))) -> c19(3'(0(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))))), 0'(3(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))))), 3'(2(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))))), 2'(0(2(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))))), 0'(2(0(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))))), 2'(0(1(0(2(0(3(1(1(0(3(3(3(z0))))))))))))), 0'(1(0(2(0(3(1(1(0(3(3(3(z0)))))))))))), 1'(0(2(0(3(1(1(0(3(3(3(z0))))))))))), 0'(2(0(3(1(1(0(3(3(3(z0)))))))))), 2'(0(3(1(1(0(3(3(3(z0))))))))), 0'(3(1(1(0(3(3(3(z0)))))))), 3'(1(1(0(3(3(3(z0))))))), 1'(1(0(3(3(3(z0)))))), 1'(0(3(3(3(z0))))), 0'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_3(c_0(c_0(c_0(z0)))))))))))))))))) -> c20(0'(1(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))))), 1'(0(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))))), 0'(0(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))))), 0'(3(0(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))))), 3'(0(0(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))))), 0'(0(3(0(2(0(3(3(2(1(3(1(3(z0))))))))))))), 0'(3(0(2(0(3(3(2(1(3(1(3(z0)))))))))))), 3'(0(2(0(3(3(2(1(3(1(3(z0))))))))))), 0'(2(0(3(3(2(1(3(1(3(z0)))))))))), 2'(0(3(3(2(1(3(1(3(z0))))))))), 0'(3(3(2(1(3(1(3(z0)))))))), 3'(3(2(1(3(1(3(z0))))))), 3'(2(1(3(1(3(z0)))))), 2'(1(3(1(3(z0))))), 1'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
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   3'(c_1(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_3(c_2(c_3(c_1(c_0(c_2(c_3(z0)))))))))))))))))) -> c91(2'(1(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))))), 1'(0(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))))), 0'(3(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))))), 3'(1(1(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))))), 1'(1(2(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))))), 1'(2(3(1(1(0(2(0(3(2(0(3(3(z0))))))))))))), 2'(3(1(1(0(2(0(3(2(0(3(3(z0)))))))))))), 3'(1(1(0(2(0(3(2(0(3(3(z0))))))))))), 1'(1(0(2(0(3(2(0(3(3(z0)))))))))), 1'(0(2(0(3(2(0(3(3(z0))))))))), 0'(2(0(3(2(0(3(3(z0)))))))), 2'(0(3(2(0(3(3(z0))))))), 0'(3(2(0(3(3(z0)))))), 3'(2(0(3(3(z0))))), 2'(0(3(3(z0)))), 0'(3(3(z0))), 3'(3(z0)), 3'(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)))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(c_3(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(c_3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(c_3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(c_2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(c_1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(c_2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(c_0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(c_3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
   0'(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(x0)))))))))))))))))) -> c9(0'(3(3(3(2(1(2(0(3(c_0(2(1(1(0(3(3(3(2(x0)))))))))))))))))), 3'(3(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))))), 3'(3(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))))), 3'(2(1(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))))), 2'(1(2(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))))), 1'(2(0(3(0(2(1(1(0(3(3(3(2(x0))))))))))))), 2'(0(3(0(2(1(1(0(3(3(3(2(x0)))))))))))), 0'(3(0(2(1(1(0(3(3(3(2(x0))))))))))), 3'(0(2(1(1(0(3(3(3(2(x0)))))))))), 0'(2(1(1(0(3(3(3(2(x0))))))))), 2'(1(1(0(3(3(3(2(x0)))))))), 1'(1(0(3(3(3(2(x0))))))), 1'(0(3(3(3(2(x0)))))), 0'(3(3(3(2(x0))))), 3'(3(3(2(x0)))), 3'(3(2(x0))), 3'(2(x0)), 2'(x0))
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   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))), 2'(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))), 0'(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))), 0'(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))), 2'(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))), 1'(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))), 2'(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))), 1'(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))), 2'(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))), 0'(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))), 0'(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))
S tuples:
   0'(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_3(c_3(c_2(c_0(c_0(c_2(c_0(c_3(z0)))))))))))))))))) -> c11(0'(1(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))))), 1'(0(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))))), 0'(0(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))))), 0'(3(3(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))))), 3'(3(0(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))))), 3'(0(3(3(1(2(2(0(0(1(2(2(0(z0))))))))))))), 0'(3(3(1(2(2(0(0(1(2(2(0(z0)))))))))))), 3'(3(1(2(2(0(0(1(2(2(0(z0))))))))))), 3'(1(2(2(0(0(1(2(2(0(z0)))))))))), 1'(2(2(0(0(1(2(2(0(z0))))))))), 2'(2(0(0(1(2(2(0(z0)))))))), 2'(0(0(1(2(2(0(z0))))))), 0'(0(1(2(2(0(z0)))))), 0'(1(2(2(0(z0))))), 1'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_1(c_3(c_0(c_1(c_3(c_1(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))))), 3'(1(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))))), 1'(0(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))))), 0'(1(3(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))))), 1'(3(0(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))))), 3'(0(3(3(0(0(1(0(1(2(3(1(3(z0))))))))))))), 0'(3(3(0(0(1(0(1(2(3(1(3(z0)))))))))))), 3'(3(0(0(1(0(1(2(3(1(3(z0))))))))))), 3'(0(0(1(0(1(2(3(1(3(z0)))))))))), 0'(0(1(0(1(2(3(1(3(z0))))))))), 0'(1(0(1(2(3(1(3(z0)))))))), 1'(0(1(2(3(1(3(z0))))))), 0'(1(2(3(1(3(z0)))))), 1'(2(3(1(3(z0))))), 2'(3(1(3(z0)))), 3'(1(3(z0))), 1'(3(z0)), 3'(z0))
   0'(c_3(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_3(c_2(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> c13(0'(3(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))))), 3'(3(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))))), 3'(0(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))))), 3'(0(1(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))))), 0'(1(2(2(1(3(2(0(3(3(3(1(2(z0))))))))))))), 1'(2(2(1(3(2(0(3(3(3(1(2(z0)))))))))))), 2'(2(1(3(2(0(3(3(3(1(2(z0))))))))))), 2'(1(3(2(0(3(3(3(1(2(z0)))))))))), 1'(3(2(0(3(3(3(1(2(z0))))))))), 3'(2(0(3(3(3(1(2(z0)))))))), 2'(0(3(3(3(1(2(z0))))))), 0'(3(3(3(1(2(z0)))))), 3'(3(3(1(2(z0))))), 3'(3(1(2(z0)))), 3'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_3(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))))))))) -> c10(0'(1(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(3(1(2(3(3(1(1(1(0(2(2(1(1(1(1(3(0(z0))))))))))))))))))))))))))))))))))), 1'(0(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))))))))), 0'(3(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))))))), 3'(3(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))))))), 3'(2(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))))), 2'(1(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))))), 1'(3(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))))), 3'(2(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))))), 2'(0(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))))), 0'(0(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))))), 0'(2(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))))), 2'(1(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))))), 1'(2(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))))), 2'(1(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))))), 1'(2(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))))), 2'(0(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0)))))))))))))))))))), 0'(0(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_3(z0))))))))))))))))))), 0'(c_0(c_1(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_2(c_2(c_2(c_3(c_1(c_3(c_1(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, c29_18, c30_18, c31_18, c32_18, c33_18, c34_18, c35_18, c36_18, c37_18, c38_18, c39_18, c40_18, c41_18, c42_18, c43_18, c44_18, c45_18, c46_18, c47_18, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67_18, c68_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