/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 56 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), 0 ms]
    (10) typed CpxTrs
(11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 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), 1437 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 21 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), 1647 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 12 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 50 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 12 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1027 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 12 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 7268 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2187 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2213 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2197 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2206 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5876 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6623 ms]
        (58) CdtProblem


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

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


The TRS R consists of the following rules:

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

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

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

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


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

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


The TRS R consists of the following rules:

   0(0(0(0(0(1(0(1(0(3(2(2(3(3(1(1(3(3(x1)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(x1))))))))))))))))))
   0(0(1(1(2(3(0(0(2(3(3(0(0(1(0(2(2(1(x1)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(x1))))))))))))))))))
   0(0(1(3(1(0(0(0(2(3(3(1(1(3(0(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(x1))))))))))))))))))
   0(0(2(0(0(3(0(2(2(3(3(2(2(2(3(0(2(3(x1)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(x1))))))))))))))))))
   0(0(2(1(1(1(0(2(0(1(1(0(3(3(1(3(3(1(x1)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(x1))))))))))))))))))
   0(0(2(2(2(2(2(1(2(2(1(1(1(0(2(1(1(1(x1)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(x1))))))))))))))))))
   0(0(2(2(3(0(3(3(2(2(0(3(3(2(0(1(3(3(x1)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(x1))))))))))))))))))
   0(0(3(3(3(3(1(0(1(0(2(3(1(0(2(0(2(1(x1)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(x1))))))))))))))))))
   0(1(1(0(1(2(2(0(0(2(3(3(1(2(1(2(1(1(x1)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x1))))))))))))))))))
   0(1(1(1(0(0(2(2(2(3(0(1(2(0(2(2(3(3(x1)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(x1))))))))))))))))))
   0(1(3(0(2(3(1(1(1(0(0(0(0(1(2(2(1(2(x1)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x1))))))))))))))))))
   0(2(0(2(0(3(3(1(2(3(3(2(2(3(1(2(2(3(x1)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(x1))))))))))))))))))
   0(2(0(3(3(2(2(1(2(0(0(3(1(3(3(2(3(3(x1)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(x1))))))))))))))))))
   0(2(1(0(0(2(0(2(2(3(0(1(0(2(1(1(2(3(x1)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(x1))))))))))))))))))
   0(3(3(2(2(3(2(2(2(1(0(3(2(1(0(3(3(2(x1)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(x1))))))))))))))))))
   1(0(0(0(0(2(0(0(2(1(0(1(1(3(2(3(2(1(x1)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(x1))))))))))))))))))
   1(0(0(0(3(1(2(3(3(3(1(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(x1))))))))))))))))))
   1(0(0(2(1(3(2(3(2(0(2(2(3(1(3(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(x1))))))))))))))))))
   1(0(1(0(1(1(3(1(0(1(3(1(1(0(2(0(0(2(x1)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(x1))))))))))))))))))
   1(0(2(1(2(3(3(1(2(0(2(1(3(1(1(2(2(1(x1)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(x1))))))))))))))))))
   1(0(2(2(2(2(1(1(0(1(0(3(2(2(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(x1))))))))))))))))))
   1(0(2(3(1(1(1(0(0(1(0(1(1(2(3(2(0(1(x1)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(x1))))))))))))))))))
   1(0(3(3(1(2(0(0(1(3(1(2(2(3(2(1(0(2(x1)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(x1))))))))))))))))))
   1(1(0(2(0(3(3(3(1(2(1(2(3(1(1(0(1(2(x1)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(x1))))))))))))))))))
   1(1(1(1(3(1(1(1(3(3(1(2(1(3(3(2(2(2(x1)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(x1))))))))))))))))))
   1(1(1(3(3(3(2(2(1(1(0(1(0(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(2(1(0(2(3(2(1(2(2(1(0(0(3(3(2(1(x1)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(x1))))))))))))))))))
   1(1(3(3(3(1(2(3(1(2(1(1(3(3(1(1(0(2(x1)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   1(1(3(3(3(2(1(1(1(3(1(1(1(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(x1))))))))))))))))))
   1(2(0(0(1(3(2(1(0(1(2(0(3(1(0(1(3(1(x1)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(x1))))))))))))))))))
   1(2(2(2(2(3(2(3(1(0(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(x1))))))))))))))))))
   1(2(3(1(1(0(2(2(3(3(0(2(1(2(1(0(3(3(x1)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(x1))))))))))))))))))
   1(2(3(2(1(2(2(0(0(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(x1))))))))))))))))))
   1(3(1(0(1(3(3(1(1(0(2(3(1(3(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(x1))))))))))))))))))
   1(3(2(1(0(3(0(2(2(2(3(2(1(1(2(0(2(1(x1)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(x1))))))))))))))))))
   1(3(3(0(3(3(0(2(2(1(0(1(0(1(1(3(3(3(x1)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(x1))))))))))))))))))
   1(3(3(3(3(3(1(1(2(1(0(1(0(1(3(3(1(3(x1)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(x1))))))))))))))))))
   2(0(0(1(2(3(0(1(0(1(0(0(0(2(0(1(0(2(x1)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(x1))))))))))))))))))
   2(0(1(0(2(0(2(1(2(2(1(2(0(0(3(1(2(2(x1)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(x1))))))))))))))))))
   2(1(0(0(0(0(1(0(3(3(3(2(1(1(0(2(0(1(x1)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(x1))))))))))))))))))
   2(1(0(1(1(2(0(3(1(3(3(3(3(3(3(1(1(2(x1)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(x1))))))))))))))))))
   2(1(0(1(3(1(0(2(0(1(3(1(1(1(1(3(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(x1))))))))))))))))))
   2(1(1(0(2(1(3(1(0(0(1(1(0(3(0(0(1(0(x1)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(x1))))))))))))))))))
   2(1(1(2(2(3(0(2(3(1(2(1(2(0(2(0(0(3(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(x1))))))))))))))))))
   2(1(2(2(2(1(0(1(1(0(3(1(1(0(2(3(1(1(x1)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(x1))))))))))))))))))
   2(2(1(1(2(2(1(1(3(3(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(x1))))))))))))))))))
   2(2(1(2(0(0(0(0(0(3(3(0(3(2(2(0(3(3(x1)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(x1))))))))))))))))))
   2(2(2(0(2(2(2(1(3(2(3(1(2(0(2(2(2(1(x1)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(x1))))))))))))))))))
   2(2(3(1(3(3(2(2(2(3(2(1(2(3(0(2(0(2(x1)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(x1))))))))))))))))))
   2(2(3(2(1(3(2(3(1(2(0(0(2(2(1(0(0(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(x1))))))))))))))))))
   2(3(1(2(0(0(0(0(1(2(2(1(1(2(3(3(3(1(x1)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(x1))))))))))))))))))
   2(3(1(2(3(0(1(2(1(0(0(3(3(3(0(3(0(1(x1)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(x1))))))))))))))))))
   2(3(2(1(2(2(2(2(0(0(3(0(1(1(0(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(x1))))))))))))))))))
   2(3(2(3(2(2(0(2(0(0(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(x1))))))))))))))))))
   2(3(3(0(0(3(2(2(3(0(1(3(3(0(2(3(3(1(x1)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(x1))))))))))))))))))
   2(3(3(2(3(1(2(3(1(1(2(3(1(2(2(1(1(2(x1)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(x1))))))))))))))))))
   3(0(0(0(0(1(3(3(1(0(0(0(0(2(0(3(3(3(x1)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(x1))))))))))))))))))
   3(0(0(0(3(3(1(1(3(2(0(0(1(1(0(2(3(0(x1)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(x1))))))))))))))))))
   3(0(0(3(1(0(2(0(3(0(0(2(1(0(0(0(2(3(x1)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(x1))))))))))))))))))
   3(0(1(3(0(3(3(2(2(3(3(0(3(1(3(3(3(1(x1)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(x1))))))))))))))))))
   3(0(2(0(2(1(2(0(1(1(3(0(0(0(3(0(2(3(x1)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(x1))))))))))))))))))
   3(0(2(3(3(1(1(3(2(3(3(1(1(3(1(1(0(2(x1)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(x1))))))))))))))))))
   3(1(0(0(1(1(3(3(1(1(2(1(3(2(2(2(2(2(x1)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(x1))))))))))))))))))
   3(1(0(3(3(1(0(2(2(0(2(1(3(3(3(3(2(3(x1)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(x1))))))))))))))))))
   3(1(1(0(0(2(1(2(1(3(2(3(0(1(1(0(1(2(x1)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(x1))))))))))))))))))
   3(1(1(0(2(1(1(2(0(0(0(2(2(3(2(3(2(0(x1)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(x1))))))))))))))))))
   3(1(1(2(3(3(0(3(0(0(2(2(1(3(1(2(1(2(x1)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(x1))))))))))))))))))
   3(1(2(0(0(2(1(2(2(3(0(0(0(1(1(1(3(1(x1)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(x1))))))))))))))))))
   3(1(3(1(0(2(1(2(3(3(2(0(0(0(0(3(3(3(x1)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(x1))))))))))))))))))
   3(2(0(0(2(1(3(3(2(2(3(0(3(0(3(2(3(2(x1)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(0(2(1(2(1(1(1(2(2(1(2(x1)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(x1))))))))))))))))))
   3(3(0(0(0(3(2(3(2(3(2(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(x1))))))))))))))))))
   3(3(0(2(2(0(2(2(2(0(2(3(3(3(1(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(x1))))))))))))))))))
   3(3(0(3(0(3(2(2(0(2(3(3(3(3(3(3(0(2(x1)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(x1))))))))))))))))))
   3(3(2(1(3(1(0(0(0(3(2(1(2(1(2(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(x1))))))))))))))))))
   3(3(2(3(1(2(3(3(1(2(2(0(1(2(0(0(0(1(x1)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(x1))))))))))))))))))
   3(3(2(3(2(0(2(1(0(0(0(3(0(1(1(3(0(2(x1)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(x1))))))))))))))))))
   3(3(3(0(2(1(0(0(2(1(0(1(0(1(0(2(0(0(x1)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(x1))))))))))))))))))
   3(3(3(1(0(1(3(2(0(3(1(0(2(0(1(1(0(1(x1)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(x1))))))))))))))))))
   3(3(3(1(3(3(2(3(3(0(2(1(0(1(3(1(3(3(x1)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(0(0(0(0(1(0(1(0(3(2(2(3(3(1(1(3(3(x1)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(x1))))))))))))))))))
   0(0(1(1(2(3(0(0(2(3(3(0(0(1(0(2(2(1(x1)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(x1))))))))))))))))))
   0(0(1(3(1(0(0(0(2(3(3(1(1(3(0(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(x1))))))))))))))))))
   0(0(2(0(0(3(0(2(2(3(3(2(2(2(3(0(2(3(x1)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(x1))))))))))))))))))
   0(0(2(1(1(1(0(2(0(1(1(0(3(3(1(3(3(1(x1)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(x1))))))))))))))))))
   0(0(2(2(2(2(2(1(2(2(1(1(1(0(2(1(1(1(x1)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(x1))))))))))))))))))
   0(0(2(2(3(0(3(3(2(2(0(3(3(2(0(1(3(3(x1)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(x1))))))))))))))))))
   0(0(3(3(3(3(1(0(1(0(2(3(1(0(2(0(2(1(x1)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(x1))))))))))))))))))
   0(1(1(0(1(2(2(0(0(2(3(3(1(2(1(2(1(1(x1)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x1))))))))))))))))))
   0(1(1(1(0(0(2(2(2(3(0(1(2(0(2(2(3(3(x1)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(x1))))))))))))))))))
   0(1(3(0(2(3(1(1(1(0(0(0(0(1(2(2(1(2(x1)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x1))))))))))))))))))
   0(2(0(2(0(3(3(1(2(3(3(2(2(3(1(2(2(3(x1)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(x1))))))))))))))))))
   0(2(0(3(3(2(2(1(2(0(0(3(1(3(3(2(3(3(x1)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(x1))))))))))))))))))
   0(2(1(0(0(2(0(2(2(3(0(1(0(2(1(1(2(3(x1)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(x1))))))))))))))))))
   0(3(3(2(2(3(2(2(2(1(0(3(2(1(0(3(3(2(x1)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(x1))))))))))))))))))
   1(0(0(0(0(2(0(0(2(1(0(1(1(3(2(3(2(1(x1)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(x1))))))))))))))))))
   1(0(0(0(3(1(2(3(3(3(1(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(x1))))))))))))))))))
   1(0(0(2(1(3(2(3(2(0(2(2(3(1(3(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(x1))))))))))))))))))
   1(0(1(0(1(1(3(1(0(1(3(1(1(0(2(0(0(2(x1)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(x1))))))))))))))))))
   1(0(2(1(2(3(3(1(2(0(2(1(3(1(1(2(2(1(x1)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(x1))))))))))))))))))
   1(0(2(2(2(2(1(1(0(1(0(3(2(2(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(x1))))))))))))))))))
   1(0(2(3(1(1(1(0(0(1(0(1(1(2(3(2(0(1(x1)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(x1))))))))))))))))))
   1(0(3(3(1(2(0(0(1(3(1(2(2(3(2(1(0(2(x1)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(x1))))))))))))))))))
   1(1(0(2(0(3(3(3(1(2(1(2(3(1(1(0(1(2(x1)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(x1))))))))))))))))))
   1(1(1(1(3(1(1(1(3(3(1(2(1(3(3(2(2(2(x1)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(x1))))))))))))))))))
   1(1(1(3(3(3(2(2(1(1(0(1(0(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(2(1(0(2(3(2(1(2(2(1(0(0(3(3(2(1(x1)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(x1))))))))))))))))))
   1(1(3(3(3(1(2(3(1(2(1(1(3(3(1(1(0(2(x1)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   1(1(3(3(3(2(1(1(1(3(1(1(1(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(x1))))))))))))))))))
   1(2(0(0(1(3(2(1(0(1(2(0(3(1(0(1(3(1(x1)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(x1))))))))))))))))))
   1(2(2(2(2(3(2(3(1(0(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(x1))))))))))))))))))
   1(2(3(1(1(0(2(2(3(3(0(2(1(2(1(0(3(3(x1)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(x1))))))))))))))))))
   1(2(3(2(1(2(2(0(0(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(x1))))))))))))))))))
   1(3(1(0(1(3(3(1(1(0(2(3(1(3(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(x1))))))))))))))))))
   1(3(2(1(0(3(0(2(2(2(3(2(1(1(2(0(2(1(x1)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(x1))))))))))))))))))
   1(3(3(0(3(3(0(2(2(1(0(1(0(1(1(3(3(3(x1)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(x1))))))))))))))))))
   1(3(3(3(3(3(1(1(2(1(0(1(0(1(3(3(1(3(x1)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(x1))))))))))))))))))
   2(0(0(1(2(3(0(1(0(1(0(0(0(2(0(1(0(2(x1)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(x1))))))))))))))))))
   2(0(1(0(2(0(2(1(2(2(1(2(0(0(3(1(2(2(x1)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(x1))))))))))))))))))
   2(1(0(0(0(0(1(0(3(3(3(2(1(1(0(2(0(1(x1)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(x1))))))))))))))))))
   2(1(0(1(1(2(0(3(1(3(3(3(3(3(3(1(1(2(x1)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(x1))))))))))))))))))
   2(1(0(1(3(1(0(2(0(1(3(1(1(1(1(3(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(x1))))))))))))))))))
   2(1(1(0(2(1(3(1(0(0(1(1(0(3(0(0(1(0(x1)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(x1))))))))))))))))))
   2(1(1(2(2(3(0(2(3(1(2(1(2(0(2(0(0(3(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(x1))))))))))))))))))
   2(1(2(2(2(1(0(1(1(0(3(1(1(0(2(3(1(1(x1)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(x1))))))))))))))))))
   2(2(1(1(2(2(1(1(3(3(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(x1))))))))))))))))))
   2(2(1(2(0(0(0(0(0(3(3(0(3(2(2(0(3(3(x1)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(x1))))))))))))))))))
   2(2(2(0(2(2(2(1(3(2(3(1(2(0(2(2(2(1(x1)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(x1))))))))))))))))))
   2(2(3(1(3(3(2(2(2(3(2(1(2(3(0(2(0(2(x1)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(x1))))))))))))))))))
   2(2(3(2(1(3(2(3(1(2(0(0(2(2(1(0(0(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(x1))))))))))))))))))
   2(3(1(2(0(0(0(0(1(2(2(1(1(2(3(3(3(1(x1)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(x1))))))))))))))))))
   2(3(1(2(3(0(1(2(1(0(0(3(3(3(0(3(0(1(x1)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(x1))))))))))))))))))
   2(3(2(1(2(2(2(2(0(0(3(0(1(1(0(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(x1))))))))))))))))))
   2(3(2(3(2(2(0(2(0(0(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(x1))))))))))))))))))
   2(3(3(0(0(3(2(2(3(0(1(3(3(0(2(3(3(1(x1)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(x1))))))))))))))))))
   2(3(3(2(3(1(2(3(1(1(2(3(1(2(2(1(1(2(x1)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(x1))))))))))))))))))
   3(0(0(0(0(1(3(3(1(0(0(0(0(2(0(3(3(3(x1)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(x1))))))))))))))))))
   3(0(0(0(3(3(1(1(3(2(0(0(1(1(0(2(3(0(x1)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(x1))))))))))))))))))
   3(0(0(3(1(0(2(0(3(0(0(2(1(0(0(0(2(3(x1)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(x1))))))))))))))))))
   3(0(1(3(0(3(3(2(2(3(3(0(3(1(3(3(3(1(x1)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(x1))))))))))))))))))
   3(0(2(0(2(1(2(0(1(1(3(0(0(0(3(0(2(3(x1)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(x1))))))))))))))))))
   3(0(2(3(3(1(1(3(2(3(3(1(1(3(1(1(0(2(x1)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(x1))))))))))))))))))
   3(1(0(0(1(1(3(3(1(1(2(1(3(2(2(2(2(2(x1)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(x1))))))))))))))))))
   3(1(0(3(3(1(0(2(2(0(2(1(3(3(3(3(2(3(x1)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(x1))))))))))))))))))
   3(1(1(0(0(2(1(2(1(3(2(3(0(1(1(0(1(2(x1)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(x1))))))))))))))))))
   3(1(1(0(2(1(1(2(0(0(0(2(2(3(2(3(2(0(x1)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(x1))))))))))))))))))
   3(1(1(2(3(3(0(3(0(0(2(2(1(3(1(2(1(2(x1)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(x1))))))))))))))))))
   3(1(2(0(0(2(1(2(2(3(0(0(0(1(1(1(3(1(x1)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(x1))))))))))))))))))
   3(1(3(1(0(2(1(2(3(3(2(0(0(0(0(3(3(3(x1)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(x1))))))))))))))))))
   3(2(0(0(2(1(3(3(2(2(3(0(3(0(3(2(3(2(x1)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(0(2(1(2(1(1(1(2(2(1(2(x1)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(x1))))))))))))))))))
   3(3(0(0(0(3(2(3(2(3(2(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(x1))))))))))))))))))
   3(3(0(2(2(0(2(2(2(0(2(3(3(3(1(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(x1))))))))))))))))))
   3(3(0(3(0(3(2(2(0(2(3(3(3(3(3(3(0(2(x1)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(x1))))))))))))))))))
   3(3(2(1(3(1(0(0(0(3(2(1(2(1(2(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(x1))))))))))))))))))
   3(3(2(3(1(2(3(3(1(2(2(0(1(2(0(0(0(1(x1)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(x1))))))))))))))))))
   3(3(2(3(2(0(2(1(0(0(0(3(0(1(1(3(0(2(x1)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(x1))))))))))))))))))
   3(3(3(0(2(1(0(0(2(1(0(1(0(1(0(2(0(0(x1)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(x1))))))))))))))))))
   3(3(3(1(0(1(3(2(0(3(1(0(2(0(1(1(0(1(x1)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(x1))))))))))))))))))
   3(3(3(1(3(3(2(3(3(0(2(1(0(1(3(1(3(3(x1)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

(5) 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(0(0(1(0(1(0(3(2(2(3(3(1(1(3(3(x1)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(x1))))))))))))))))))
   0(0(1(1(2(3(0(0(2(3(3(0(0(1(0(2(2(1(x1)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(x1))))))))))))))))))
   0(0(1(3(1(0(0(0(2(3(3(1(1(3(0(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(x1))))))))))))))))))
   0(0(2(0(0(3(0(2(2(3(3(2(2(2(3(0(2(3(x1)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(x1))))))))))))))))))
   0(0(2(1(1(1(0(2(0(1(1(0(3(3(1(3(3(1(x1)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(x1))))))))))))))))))
   0(0(2(2(2(2(2(1(2(2(1(1(1(0(2(1(1(1(x1)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(x1))))))))))))))))))
   0(0(2(2(3(0(3(3(2(2(0(3(3(2(0(1(3(3(x1)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(x1))))))))))))))))))
   0(0(3(3(3(3(1(0(1(0(2(3(1(0(2(0(2(1(x1)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(x1))))))))))))))))))
   0(1(1(0(1(2(2(0(0(2(3(3(1(2(1(2(1(1(x1)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x1))))))))))))))))))
   0(1(1(1(0(0(2(2(2(3(0(1(2(0(2(2(3(3(x1)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(x1))))))))))))))))))
   0(1(3(0(2(3(1(1(1(0(0(0(0(1(2(2(1(2(x1)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x1))))))))))))))))))
   0(2(0(2(0(3(3(1(2(3(3(2(2(3(1(2(2(3(x1)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(x1))))))))))))))))))
   0(2(0(3(3(2(2(1(2(0(0(3(1(3(3(2(3(3(x1)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(x1))))))))))))))))))
   0(2(1(0(0(2(0(2(2(3(0(1(0(2(1(1(2(3(x1)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(x1))))))))))))))))))
   0(3(3(2(2(3(2(2(2(1(0(3(2(1(0(3(3(2(x1)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(x1))))))))))))))))))
   1(0(0(0(0(2(0(0(2(1(0(1(1(3(2(3(2(1(x1)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(x1))))))))))))))))))
   1(0(0(0(3(1(2(3(3(3(1(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(x1))))))))))))))))))
   1(0(0(2(1(3(2(3(2(0(2(2(3(1(3(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(x1))))))))))))))))))
   1(0(1(0(1(1(3(1(0(1(3(1(1(0(2(0(0(2(x1)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(x1))))))))))))))))))
   1(0(2(1(2(3(3(1(2(0(2(1(3(1(1(2(2(1(x1)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(x1))))))))))))))))))
   1(0(2(2(2(2(1(1(0(1(0(3(2(2(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(x1))))))))))))))))))
   1(0(2(3(1(1(1(0(0(1(0(1(1(2(3(2(0(1(x1)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(x1))))))))))))))))))
   1(0(3(3(1(2(0(0(1(3(1(2(2(3(2(1(0(2(x1)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(x1))))))))))))))))))
   1(1(0(2(0(3(3(3(1(2(1(2(3(1(1(0(1(2(x1)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(x1))))))))))))))))))
   1(1(1(1(3(1(1(1(3(3(1(2(1(3(3(2(2(2(x1)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(x1))))))))))))))))))
   1(1(1(3(3(3(2(2(1(1(0(1(0(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(2(1(0(2(3(2(1(2(2(1(0(0(3(3(2(1(x1)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(x1))))))))))))))))))
   1(1(3(3(3(1(2(3(1(2(1(1(3(3(1(1(0(2(x1)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   1(1(3(3(3(2(1(1(1(3(1(1(1(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(x1))))))))))))))))))
   1(2(0(0(1(3(2(1(0(1(2(0(3(1(0(1(3(1(x1)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(x1))))))))))))))))))
   1(2(2(2(2(3(2(3(1(0(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(x1))))))))))))))))))
   1(2(3(1(1(0(2(2(3(3(0(2(1(2(1(0(3(3(x1)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(x1))))))))))))))))))
   1(2(3(2(1(2(2(0(0(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(x1))))))))))))))))))
   1(3(1(0(1(3(3(1(1(0(2(3(1(3(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(x1))))))))))))))))))
   1(3(2(1(0(3(0(2(2(2(3(2(1(1(2(0(2(1(x1)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(x1))))))))))))))))))
   1(3(3(0(3(3(0(2(2(1(0(1(0(1(1(3(3(3(x1)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(x1))))))))))))))))))
   1(3(3(3(3(3(1(1(2(1(0(1(0(1(3(3(1(3(x1)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(x1))))))))))))))))))
   2(0(0(1(2(3(0(1(0(1(0(0(0(2(0(1(0(2(x1)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(x1))))))))))))))))))
   2(0(1(0(2(0(2(1(2(2(1(2(0(0(3(1(2(2(x1)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(x1))))))))))))))))))
   2(1(0(0(0(0(1(0(3(3(3(2(1(1(0(2(0(1(x1)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(x1))))))))))))))))))
   2(1(0(1(1(2(0(3(1(3(3(3(3(3(3(1(1(2(x1)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(x1))))))))))))))))))
   2(1(0(1(3(1(0(2(0(1(3(1(1(1(1(3(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(x1))))))))))))))))))
   2(1(1(0(2(1(3(1(0(0(1(1(0(3(0(0(1(0(x1)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(x1))))))))))))))))))
   2(1(1(2(2(3(0(2(3(1(2(1(2(0(2(0(0(3(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(x1))))))))))))))))))
   2(1(2(2(2(1(0(1(1(0(3(1(1(0(2(3(1(1(x1)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(x1))))))))))))))))))
   2(2(1(1(2(2(1(1(3(3(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(x1))))))))))))))))))
   2(2(1(2(0(0(0(0(0(3(3(0(3(2(2(0(3(3(x1)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(x1))))))))))))))))))
   2(2(2(0(2(2(2(1(3(2(3(1(2(0(2(2(2(1(x1)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(x1))))))))))))))))))
   2(2(3(1(3(3(2(2(2(3(2(1(2(3(0(2(0(2(x1)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(x1))))))))))))))))))
   2(2(3(2(1(3(2(3(1(2(0(0(2(2(1(0(0(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(x1))))))))))))))))))
   2(3(1(2(0(0(0(0(1(2(2(1(1(2(3(3(3(1(x1)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(x1))))))))))))))))))
   2(3(1(2(3(0(1(2(1(0(0(3(3(3(0(3(0(1(x1)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(x1))))))))))))))))))
   2(3(2(1(2(2(2(2(0(0(3(0(1(1(0(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(x1))))))))))))))))))
   2(3(2(3(2(2(0(2(0(0(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(x1))))))))))))))))))
   2(3(3(0(0(3(2(2(3(0(1(3(3(0(2(3(3(1(x1)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(x1))))))))))))))))))
   2(3(3(2(3(1(2(3(1(1(2(3(1(2(2(1(1(2(x1)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(x1))))))))))))))))))
   3(0(0(0(0(1(3(3(1(0(0(0(0(2(0(3(3(3(x1)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(x1))))))))))))))))))
   3(0(0(0(3(3(1(1(3(2(0(0(1(1(0(2(3(0(x1)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(x1))))))))))))))))))
   3(0(0(3(1(0(2(0(3(0(0(2(1(0(0(0(2(3(x1)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(x1))))))))))))))))))
   3(0(1(3(0(3(3(2(2(3(3(0(3(1(3(3(3(1(x1)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(x1))))))))))))))))))
   3(0(2(0(2(1(2(0(1(1(3(0(0(0(3(0(2(3(x1)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(x1))))))))))))))))))
   3(0(2(3(3(1(1(3(2(3(3(1(1(3(1(1(0(2(x1)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(x1))))))))))))))))))
   3(1(0(0(1(1(3(3(1(1(2(1(3(2(2(2(2(2(x1)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(x1))))))))))))))))))
   3(1(0(3(3(1(0(2(2(0(2(1(3(3(3(3(2(3(x1)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(x1))))))))))))))))))
   3(1(1(0(0(2(1(2(1(3(2(3(0(1(1(0(1(2(x1)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(x1))))))))))))))))))
   3(1(1(0(2(1(1(2(0(0(0(2(2(3(2(3(2(0(x1)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(x1))))))))))))))))))
   3(1(1(2(3(3(0(3(0(0(2(2(1(3(1(2(1(2(x1)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(x1))))))))))))))))))
   3(1(2(0(0(2(1(2(2(3(0(0(0(1(1(1(3(1(x1)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(x1))))))))))))))))))
   3(1(3(1(0(2(1(2(3(3(2(0(0(0(0(3(3(3(x1)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(x1))))))))))))))))))
   3(2(0(0(2(1(3(3(2(2(3(0(3(0(3(2(3(2(x1)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(0(2(1(2(1(1(1(2(2(1(2(x1)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(x1))))))))))))))))))
   3(3(0(0(0(3(2(3(2(3(2(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(x1))))))))))))))))))
   3(3(0(2(2(0(2(2(2(0(2(3(3(3(1(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(x1))))))))))))))))))
   3(3(0(3(0(3(2(2(0(2(3(3(3(3(3(3(0(2(x1)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(x1))))))))))))))))))
   3(3(2(1(3(1(0(0(0(3(2(1(2(1(2(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(x1))))))))))))))))))
   3(3(2(3(1(2(3(3(1(2(2(0(1(2(0(0(0(1(x1)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(x1))))))))))))))))))
   3(3(2(3(2(0(2(1(0(0(0(3(0(1(1(3(0(2(x1)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(x1))))))))))))))))))
   3(3(3(0(2(1(0(0(2(1(0(1(0(1(0(2(0(0(x1)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(x1))))))))))))))))))
   3(3(3(1(0(1(3(2(0(3(1(0(2(0(1(1(0(1(x1)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(x1))))))))))))))))))
   3(3(3(1(3(3(2(3(3(0(2(1(0(1(3(1(3(3(x1)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

(8)
Obligation:
TRS:
Rules:
0(0(0(0(0(1(0(1(0(3(2(2(3(3(1(1(3(3(x1)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(x1))))))))))))))))))
0(0(1(1(2(3(0(0(2(3(3(0(0(1(0(2(2(1(x1)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(x1))))))))))))))))))
0(0(1(3(1(0(0(0(2(3(3(1(1(3(0(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(x1))))))))))))))))))
0(0(2(0(0(3(0(2(2(3(3(2(2(2(3(0(2(3(x1)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(x1))))))))))))))))))
0(0(2(1(1(1(0(2(0(1(1(0(3(3(1(3(3(1(x1)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(x1))))))))))))))))))
0(0(2(2(2(2(2(1(2(2(1(1(1(0(2(1(1(1(x1)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(x1))))))))))))))))))
0(0(2(2(3(0(3(3(2(2(0(3(3(2(0(1(3(3(x1)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(x1))))))))))))))))))
0(0(3(3(3(3(1(0(1(0(2(3(1(0(2(0(2(1(x1)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(x1))))))))))))))))))
0(1(1(0(1(2(2(0(0(2(3(3(1(2(1(2(1(1(x1)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x1))))))))))))))))))
0(1(1(1(0(0(2(2(2(3(0(1(2(0(2(2(3(3(x1)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(x1))))))))))))))))))
0(1(3(0(2(3(1(1(1(0(0(0(0(1(2(2(1(2(x1)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x1))))))))))))))))))
0(2(0(2(0(3(3(1(2(3(3(2(2(3(1(2(2(3(x1)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(x1))))))))))))))))))
0(2(0(3(3(2(2(1(2(0(0(3(1(3(3(2(3(3(x1)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(x1))))))))))))))))))
0(2(1(0(0(2(0(2(2(3(0(1(0(2(1(1(2(3(x1)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(x1))))))))))))))))))
0(3(3(2(2(3(2(2(2(1(0(3(2(1(0(3(3(2(x1)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(x1))))))))))))))))))
1(0(0(0(0(2(0(0(2(1(0(1(1(3(2(3(2(1(x1)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(x1))))))))))))))))))
1(0(0(0(3(1(2(3(3(3(1(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(x1))))))))))))))))))
1(0(0(2(1(3(2(3(2(0(2(2(3(1(3(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(x1))))))))))))))))))
1(0(1(0(1(1(3(1(0(1(3(1(1(0(2(0(0(2(x1)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(x1))))))))))))))))))
1(0(2(1(2(3(3(1(2(0(2(1(3(1(1(2(2(1(x1)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(x1))))))))))))))))))
1(0(2(2(2(2(1(1(0(1(0(3(2(2(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(x1))))))))))))))))))
1(0(2(3(1(1(1(0(0(1(0(1(1(2(3(2(0(1(x1)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(x1))))))))))))))))))
1(0(3(3(1(2(0(0(1(3(1(2(2(3(2(1(0(2(x1)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(x1))))))))))))))))))
1(1(0(2(0(3(3(3(1(2(1(2(3(1(1(0(1(2(x1)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(x1))))))))))))))))))
1(1(1(1(3(1(1(1(3(3(1(2(1(3(3(2(2(2(x1)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(x1))))))))))))))))))
1(1(1(3(3(3(2(2(1(1(0(1(0(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(x1))))))))))))))))))
1(1(2(1(0(2(3(2(1(2(2(1(0(0(3(3(2(1(x1)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(x1))))))))))))))))))
1(1(3(3(3(1(2(3(1(2(1(1(3(3(1(1(0(2(x1)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(x1))))))))))))))))))
1(1(3(3(3(2(1(1(1(3(1(1(1(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(x1))))))))))))))))))
1(2(0(0(1(3(2(1(0(1(2(0(3(1(0(1(3(1(x1)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(x1))))))))))))))))))
1(2(2(2(2(3(2(3(1(0(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(x1))))))))))))))))))
1(2(3(1(1(0(2(2(3(3(0(2(1(2(1(0(3(3(x1)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(x1))))))))))))))))))
1(2(3(2(1(2(2(0(0(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(x1))))))))))))))))))
1(3(1(0(1(3(3(1(1(0(2(3(1(3(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(x1))))))))))))))))))
1(3(2(1(0(3(0(2(2(2(3(2(1(1(2(0(2(1(x1)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(x1))))))))))))))))))
1(3(3(0(3(3(0(2(2(1(0(1(0(1(1(3(3(3(x1)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(x1))))))))))))))))))
1(3(3(3(3(3(1(1(2(1(0(1(0(1(3(3(1(3(x1)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(x1))))))))))))))))))
2(0(0(1(2(3(0(1(0(1(0(0(0(2(0(1(0(2(x1)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(x1))))))))))))))))))
2(0(1(0(2(0(2(1(2(2(1(2(0(0(3(1(2(2(x1)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(x1))))))))))))))))))
2(1(0(0(0(0(1(0(3(3(3(2(1(1(0(2(0(1(x1)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(x1))))))))))))))))))
2(1(0(1(1(2(0(3(1(3(3(3(3(3(3(1(1(2(x1)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(x1))))))))))))))))))
2(1(0(1(3(1(0(2(0(1(3(1(1(1(1(3(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(x1))))))))))))))))))
2(1(1(0(2(1(3(1(0(0(1(1(0(3(0(0(1(0(x1)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(x1))))))))))))))))))
2(1(1(2(2(3(0(2(3(1(2(1(2(0(2(0(0(3(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(x1))))))))))))))))))
2(1(2(2(2(1(0(1(1(0(3(1(1(0(2(3(1(1(x1)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(x1))))))))))))))))))
2(2(1(1(2(2(1(1(3(3(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(x1))))))))))))))))))
2(2(1(2(0(0(0(0(0(3(3(0(3(2(2(0(3(3(x1)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(x1))))))))))))))))))
2(2(2(0(2(2(2(1(3(2(3(1(2(0(2(2(2(1(x1)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(x1))))))))))))))))))
2(2(3(1(3(3(2(2(2(3(2(1(2(3(0(2(0(2(x1)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(x1))))))))))))))))))
2(2(3(2(1(3(2(3(1(2(0(0(2(2(1(0(0(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(x1))))))))))))))))))
2(3(1(2(0(0(0(0(1(2(2(1(1(2(3(3(3(1(x1)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(x1))))))))))))))))))
2(3(1(2(3(0(1(2(1(0(0(3(3(3(0(3(0(1(x1)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(x1))))))))))))))))))
2(3(2(1(2(2(2(2(0(0(3(0(1(1(0(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(x1))))))))))))))))))
2(3(2(3(2(2(0(2(0(0(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(x1))))))))))))))))))
2(3(3(0(0(3(2(2(3(0(1(3(3(0(2(3(3(1(x1)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(x1))))))))))))))))))
2(3(3(2(3(1(2(3(1(1(2(3(1(2(2(1(1(2(x1)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(x1))))))))))))))))))
3(0(0(0(0(1(3(3(1(0(0(0(0(2(0(3(3(3(x1)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(x1))))))))))))))))))
3(0(0(0(3(3(1(1(3(2(0(0(1(1(0(2(3(0(x1)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(x1))))))))))))))))))
3(0(0(3(1(0(2(0(3(0(0(2(1(0(0(0(2(3(x1)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(x1))))))))))))))))))
3(0(1(3(0(3(3(2(2(3(3(0(3(1(3(3(3(1(x1)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(x1))))))))))))))))))
3(0(2(0(2(1(2(0(1(1(3(0(0(0(3(0(2(3(x1)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(x1))))))))))))))))))
3(0(2(3(3(1(1(3(2(3(3(1(1(3(1(1(0(2(x1)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(x1))))))))))))))))))
3(1(0(0(1(1(3(3(1(1(2(1(3(2(2(2(2(2(x1)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(x1))))))))))))))))))
3(1(0(3(3(1(0(2(2(0(2(1(3(3(3(3(2(3(x1)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(x1))))))))))))))))))
3(1(1(0(0(2(1(2(1(3(2(3(0(1(1(0(1(2(x1)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(x1))))))))))))))))))
3(1(1(0(2(1(1(2(0(0(0(2(2(3(2(3(2(0(x1)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(x1))))))))))))))))))
3(1(1(2(3(3(0(3(0(0(2(2(1(3(1(2(1(2(x1)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(x1))))))))))))))))))
3(1(2(0(0(2(1(2(2(3(0(0(0(1(1(1(3(1(x1)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(x1))))))))))))))))))
3(1(3(1(0(2(1(2(3(3(2(0(0(0(0(3(3(3(x1)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(x1))))))))))))))))))
3(2(0(0(2(1(3(3(2(2(3(0(3(0(3(2(3(2(x1)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(x1))))))))))))))))))
3(2(2(3(1(2(2(0(2(1(2(1(1(1(2(2(1(2(x1)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(x1))))))))))))))))))
3(3(0(0(0(3(2(3(2(3(2(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(x1))))))))))))))))))
3(3(0(2(2(0(2(2(2(0(2(3(3(3(1(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(x1))))))))))))))))))
3(3(0(3(0(3(2(2(0(2(3(3(3(3(3(3(0(2(x1)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(x1))))))))))))))))))
3(3(2(1(3(1(0(0(0(3(2(1(2(1(2(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(x1))))))))))))))))))
3(3(2(3(1(2(3(3(1(2(2(0(1(2(0(0(0(1(x1)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(x1))))))))))))))))))
3(3(2(3(2(0(2(1(0(0(0(3(0(1(1(3(0(2(x1)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(x1))))))))))))))))))
3(3(3(0(2(1(0(0(2(1(0(1(0(1(0(2(0(0(x1)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(x1))))))))))))))))))
3(3(3(1(0(1(3(2(0(3(1(0(2(0(1(1(0(1(x1)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(x1))))))))))))))))))
3(3(3(1(3(3(2(3(3(0(2(1(0(1(3(1(3(3(x1)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(x1))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
1 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
3 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
2 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
hole_3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_21_4 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3

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

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

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(0(0(1(0(1(0(3(2(2(3(3(1(1(3(3(x1)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(x1))))))))))))))))))
0(0(1(1(2(3(0(0(2(3(3(0(0(1(0(2(2(1(x1)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(x1))))))))))))))))))
0(0(1(3(1(0(0(0(2(3(3(1(1(3(0(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(x1))))))))))))))))))
0(0(2(0(0(3(0(2(2(3(3(2(2(2(3(0(2(3(x1)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(x1))))))))))))))))))
0(0(2(1(1(1(0(2(0(1(1(0(3(3(1(3(3(1(x1)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(x1))))))))))))))))))
0(0(2(2(2(2(2(1(2(2(1(1(1(0(2(1(1(1(x1)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(x1))))))))))))))))))
0(0(2(2(3(0(3(3(2(2(0(3(3(2(0(1(3(3(x1)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(x1))))))))))))))))))
0(0(3(3(3(3(1(0(1(0(2(3(1(0(2(0(2(1(x1)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(x1))))))))))))))))))
0(1(1(0(1(2(2(0(0(2(3(3(1(2(1(2(1(1(x1)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x1))))))))))))))))))
0(1(1(1(0(0(2(2(2(3(0(1(2(0(2(2(3(3(x1)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(x1))))))))))))))))))
0(1(3(0(2(3(1(1(1(0(0(0(0(1(2(2(1(2(x1)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x1))))))))))))))))))
0(2(0(2(0(3(3(1(2(3(3(2(2(3(1(2(2(3(x1)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(x1))))))))))))))))))
0(2(0(3(3(2(2(1(2(0(0(3(1(3(3(2(3(3(x1)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(x1))))))))))))))))))
0(2(1(0(0(2(0(2(2(3(0(1(0(2(1(1(2(3(x1)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(x1))))))))))))))))))
0(3(3(2(2(3(2(2(2(1(0(3(2(1(0(3(3(2(x1)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(x1))))))))))))))))))
1(0(0(0(0(2(0(0(2(1(0(1(1(3(2(3(2(1(x1)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(x1))))))))))))))))))
1(0(0(0(3(1(2(3(3(3(1(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(x1))))))))))))))))))
1(0(0(2(1(3(2(3(2(0(2(2(3(1(3(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(x1))))))))))))))))))
1(0(1(0(1(1(3(1(0(1(3(1(1(0(2(0(0(2(x1)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(x1))))))))))))))))))
1(0(2(1(2(3(3(1(2(0(2(1(3(1(1(2(2(1(x1)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(x1))))))))))))))))))
1(0(2(2(2(2(1(1(0(1(0(3(2(2(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(x1))))))))))))))))))
1(0(2(3(1(1(1(0(0(1(0(1(1(2(3(2(0(1(x1)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(x1))))))))))))))))))
1(0(3(3(1(2(0(0(1(3(1(2(2(3(2(1(0(2(x1)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(x1))))))))))))))))))
1(1(0(2(0(3(3(3(1(2(1(2(3(1(1(0(1(2(x1)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(x1))))))))))))))))))
1(1(1(1(3(1(1(1(3(3(1(2(1(3(3(2(2(2(x1)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(x1))))))))))))))))))
1(1(1(3(3(3(2(2(1(1(0(1(0(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(x1))))))))))))))))))
1(1(2(1(0(2(3(2(1(2(2(1(0(0(3(3(2(1(x1)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(x1))))))))))))))))))
1(1(3(3(3(1(2(3(1(2(1(1(3(3(1(1(0(2(x1)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(x1))))))))))))))))))
1(1(3(3(3(2(1(1(1(3(1(1(1(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(x1))))))))))))))))))
1(2(0(0(1(3(2(1(0(1(2(0(3(1(0(1(3(1(x1)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(x1))))))))))))))))))
1(2(2(2(2(3(2(3(1(0(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(x1))))))))))))))))))
1(2(3(1(1(0(2(2(3(3(0(2(1(2(1(0(3(3(x1)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(x1))))))))))))))))))
1(2(3(2(1(2(2(0(0(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(x1))))))))))))))))))
1(3(1(0(1(3(3(1(1(0(2(3(1(3(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(x1))))))))))))))))))
1(3(2(1(0(3(0(2(2(2(3(2(1(1(2(0(2(1(x1)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(x1))))))))))))))))))
1(3(3(0(3(3(0(2(2(1(0(1(0(1(1(3(3(3(x1)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(x1))))))))))))))))))
1(3(3(3(3(3(1(1(2(1(0(1(0(1(3(3(1(3(x1)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(x1))))))))))))))))))
2(0(0(1(2(3(0(1(0(1(0(0(0(2(0(1(0(2(x1)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(x1))))))))))))))))))
2(0(1(0(2(0(2(1(2(2(1(2(0(0(3(1(2(2(x1)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(x1))))))))))))))))))
2(1(0(0(0(0(1(0(3(3(3(2(1(1(0(2(0(1(x1)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(x1))))))))))))))))))
2(1(0(1(1(2(0(3(1(3(3(3(3(3(3(1(1(2(x1)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(x1))))))))))))))))))
2(1(0(1(3(1(0(2(0(1(3(1(1(1(1(3(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(x1))))))))))))))))))
2(1(1(0(2(1(3(1(0(0(1(1(0(3(0(0(1(0(x1)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(x1))))))))))))))))))
2(1(1(2(2(3(0(2(3(1(2(1(2(0(2(0(0(3(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(x1))))))))))))))))))
2(1(2(2(2(1(0(1(1(0(3(1(1(0(2(3(1(1(x1)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(x1))))))))))))))))))
2(2(1(1(2(2(1(1(3(3(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(x1))))))))))))))))))
2(2(1(2(0(0(0(0(0(3(3(0(3(2(2(0(3(3(x1)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(x1))))))))))))))))))
2(2(2(0(2(2(2(1(3(2(3(1(2(0(2(2(2(1(x1)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(x1))))))))))))))))))
2(2(3(1(3(3(2(2(2(3(2(1(2(3(0(2(0(2(x1)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(x1))))))))))))))))))
2(2(3(2(1(3(2(3(1(2(0(0(2(2(1(0(0(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(x1))))))))))))))))))
2(3(1(2(0(0(0(0(1(2(2(1(1(2(3(3(3(1(x1)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(x1))))))))))))))))))
2(3(1(2(3(0(1(2(1(0(0(3(3(3(0(3(0(1(x1)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(x1))))))))))))))))))
2(3(2(1(2(2(2(2(0(0(3(0(1(1(0(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(x1))))))))))))))))))
2(3(2(3(2(2(0(2(0(0(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(x1))))))))))))))))))
2(3(3(0(0(3(2(2(3(0(1(3(3(0(2(3(3(1(x1)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(x1))))))))))))))))))
2(3(3(2(3(1(2(3(1(1(2(3(1(2(2(1(1(2(x1)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(x1))))))))))))))))))
3(0(0(0(0(1(3(3(1(0(0(0(0(2(0(3(3(3(x1)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(x1))))))))))))))))))
3(0(0(0(3(3(1(1(3(2(0(0(1(1(0(2(3(0(x1)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(x1))))))))))))))))))
3(0(0(3(1(0(2(0(3(0(0(2(1(0(0(0(2(3(x1)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(x1))))))))))))))))))
3(0(1(3(0(3(3(2(2(3(3(0(3(1(3(3(3(1(x1)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(x1))))))))))))))))))
3(0(2(0(2(1(2(0(1(1(3(0(0(0(3(0(2(3(x1)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(x1))))))))))))))))))
3(0(2(3(3(1(1(3(2(3(3(1(1(3(1(1(0(2(x1)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(x1))))))))))))))))))
3(1(0(0(1(1(3(3(1(1(2(1(3(2(2(2(2(2(x1)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(x1))))))))))))))))))
3(1(0(3(3(1(0(2(2(0(2(1(3(3(3(3(2(3(x1)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(x1))))))))))))))))))
3(1(1(0(0(2(1(2(1(3(2(3(0(1(1(0(1(2(x1)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(x1))))))))))))))))))
3(1(1(0(2(1(1(2(0(0(0(2(2(3(2(3(2(0(x1)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(x1))))))))))))))))))
3(1(1(2(3(3(0(3(0(0(2(2(1(3(1(2(1(2(x1)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(x1))))))))))))))))))
3(1(2(0(0(2(1(2(2(3(0(0(0(1(1(1(3(1(x1)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(x1))))))))))))))))))
3(1(3(1(0(2(1(2(3(3(2(0(0(0(0(3(3(3(x1)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(x1))))))))))))))))))
3(2(0(0(2(1(3(3(2(2(3(0(3(0(3(2(3(2(x1)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(x1))))))))))))))))))
3(2(2(3(1(2(2(0(2(1(2(1(1(1(2(2(1(2(x1)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(x1))))))))))))))))))
3(3(0(0(0(3(2(3(2(3(2(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(x1))))))))))))))))))
3(3(0(2(2(0(2(2(2(0(2(3(3(3(1(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(x1))))))))))))))))))
3(3(0(3(0(3(2(2(0(2(3(3(3(3(3(3(0(2(x1)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(x1))))))))))))))))))
3(3(2(1(3(1(0(0(0(3(2(1(2(1(2(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(x1))))))))))))))))))
3(3(2(3(1(2(3(3(1(2(2(0(1(2(0(0(0(1(x1)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(x1))))))))))))))))))
3(3(2(3(2(0(2(1(0(0(0(3(0(1(1(3(0(2(x1)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(x1))))))))))))))))))
3(3(3(0(2(1(0(0(2(1(0(1(0(1(0(2(0(0(x1)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(x1))))))))))))))))))
3(3(3(1(0(1(3(2(0(3(1(0(2(0(1(1(0(1(x1)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(x1))))))))))))))))))
3(3(3(1(3(3(2(3(3(0(2(1(0(1(3(1(3(3(x1)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(x1))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
1 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
3 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
2 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
hole_3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_21_4 :: 3:1:2:0:encArg:encode_0:encode_1:encode_3:encode_2
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3


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


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

They will be analysed ascendingly in the following order:
0 = 3
0 = 2
0 = 1
0 < encArg
3 = 2
3 = 1
3 < encArg
2 = 1
2 < 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(0(0(1(0(1(0(3(2(2(3(3(1(1(3(3(x1)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(x1))))))))))))))))))
   0(0(1(1(2(3(0(0(2(3(3(0(0(1(0(2(2(1(x1)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(x1))))))))))))))))))
   0(0(1(3(1(0(0(0(2(3(3(1(1(3(0(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(x1))))))))))))))))))
   0(0(2(0(0(3(0(2(2(3(3(2(2(2(3(0(2(3(x1)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(x1))))))))))))))))))
   0(0(2(1(1(1(0(2(0(1(1(0(3(3(1(3(3(1(x1)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(x1))))))))))))))))))
   0(0(2(2(2(2(2(1(2(2(1(1(1(0(2(1(1(1(x1)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(x1))))))))))))))))))
   0(0(2(2(3(0(3(3(2(2(0(3(3(2(0(1(3(3(x1)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(x1))))))))))))))))))
   0(0(3(3(3(3(1(0(1(0(2(3(1(0(2(0(2(1(x1)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(x1))))))))))))))))))
   0(1(1(0(1(2(2(0(0(2(3(3(1(2(1(2(1(1(x1)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x1))))))))))))))))))
   0(1(1(1(0(0(2(2(2(3(0(1(2(0(2(2(3(3(x1)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(x1))))))))))))))))))
   0(1(3(0(2(3(1(1(1(0(0(0(0(1(2(2(1(2(x1)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x1))))))))))))))))))
   0(2(0(2(0(3(3(1(2(3(3(2(2(3(1(2(2(3(x1)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(x1))))))))))))))))))
   0(2(0(3(3(2(2(1(2(0(0(3(1(3(3(2(3(3(x1)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(x1))))))))))))))))))
   0(2(1(0(0(2(0(2(2(3(0(1(0(2(1(1(2(3(x1)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(x1))))))))))))))))))
   0(3(3(2(2(3(2(2(2(1(0(3(2(1(0(3(3(2(x1)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(x1))))))))))))))))))
   1(0(0(0(0(2(0(0(2(1(0(1(1(3(2(3(2(1(x1)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(x1))))))))))))))))))
   1(0(0(0(3(1(2(3(3(3(1(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(x1))))))))))))))))))
   1(0(0(2(1(3(2(3(2(0(2(2(3(1(3(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(x1))))))))))))))))))
   1(0(1(0(1(1(3(1(0(1(3(1(1(0(2(0(0(2(x1)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(x1))))))))))))))))))
   1(0(2(1(2(3(3(1(2(0(2(1(3(1(1(2(2(1(x1)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(x1))))))))))))))))))
   1(0(2(2(2(2(1(1(0(1(0(3(2(2(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(x1))))))))))))))))))
   1(0(2(3(1(1(1(0(0(1(0(1(1(2(3(2(0(1(x1)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(x1))))))))))))))))))
   1(0(3(3(1(2(0(0(1(3(1(2(2(3(2(1(0(2(x1)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(x1))))))))))))))))))
   1(1(0(2(0(3(3(3(1(2(1(2(3(1(1(0(1(2(x1)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(x1))))))))))))))))))
   1(1(1(1(3(1(1(1(3(3(1(2(1(3(3(2(2(2(x1)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(x1))))))))))))))))))
   1(1(1(3(3(3(2(2(1(1(0(1(0(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(2(1(0(2(3(2(1(2(2(1(0(0(3(3(2(1(x1)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(x1))))))))))))))))))
   1(1(3(3(3(1(2(3(1(2(1(1(3(3(1(1(0(2(x1)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   1(1(3(3(3(2(1(1(1(3(1(1(1(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(x1))))))))))))))))))
   1(2(0(0(1(3(2(1(0(1(2(0(3(1(0(1(3(1(x1)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(x1))))))))))))))))))
   1(2(2(2(2(3(2(3(1(0(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(x1))))))))))))))))))
   1(2(3(1(1(0(2(2(3(3(0(2(1(2(1(0(3(3(x1)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(x1))))))))))))))))))
   1(2(3(2(1(2(2(0(0(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(x1))))))))))))))))))
   1(3(1(0(1(3(3(1(1(0(2(3(1(3(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(x1))))))))))))))))))
   1(3(2(1(0(3(0(2(2(2(3(2(1(1(2(0(2(1(x1)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(x1))))))))))))))))))
   1(3(3(0(3(3(0(2(2(1(0(1(0(1(1(3(3(3(x1)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(x1))))))))))))))))))
   1(3(3(3(3(3(1(1(2(1(0(1(0(1(3(3(1(3(x1)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(x1))))))))))))))))))
   2(0(0(1(2(3(0(1(0(1(0(0(0(2(0(1(0(2(x1)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(x1))))))))))))))))))
   2(0(1(0(2(0(2(1(2(2(1(2(0(0(3(1(2(2(x1)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(x1))))))))))))))))))
   2(1(0(0(0(0(1(0(3(3(3(2(1(1(0(2(0(1(x1)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(x1))))))))))))))))))
   2(1(0(1(1(2(0(3(1(3(3(3(3(3(3(1(1(2(x1)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(x1))))))))))))))))))
   2(1(0(1(3(1(0(2(0(1(3(1(1(1(1(3(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(x1))))))))))))))))))
   2(1(1(0(2(1(3(1(0(0(1(1(0(3(0(0(1(0(x1)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(x1))))))))))))))))))
   2(1(1(2(2(3(0(2(3(1(2(1(2(0(2(0(0(3(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(x1))))))))))))))))))
   2(1(2(2(2(1(0(1(1(0(3(1(1(0(2(3(1(1(x1)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(x1))))))))))))))))))
   2(2(1(1(2(2(1(1(3(3(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(x1))))))))))))))))))
   2(2(1(2(0(0(0(0(0(3(3(0(3(2(2(0(3(3(x1)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(x1))))))))))))))))))
   2(2(2(0(2(2(2(1(3(2(3(1(2(0(2(2(2(1(x1)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(x1))))))))))))))))))
   2(2(3(1(3(3(2(2(2(3(2(1(2(3(0(2(0(2(x1)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(x1))))))))))))))))))
   2(2(3(2(1(3(2(3(1(2(0(0(2(2(1(0(0(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(x1))))))))))))))))))
   2(3(1(2(0(0(0(0(1(2(2(1(1(2(3(3(3(1(x1)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(x1))))))))))))))))))
   2(3(1(2(3(0(1(2(1(0(0(3(3(3(0(3(0(1(x1)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(x1))))))))))))))))))
   2(3(2(1(2(2(2(2(0(0(3(0(1(1(0(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(x1))))))))))))))))))
   2(3(2(3(2(2(0(2(0(0(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(x1))))))))))))))))))
   2(3(3(0(0(3(2(2(3(0(1(3(3(0(2(3(3(1(x1)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(x1))))))))))))))))))
   2(3(3(2(3(1(2(3(1(1(2(3(1(2(2(1(1(2(x1)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(x1))))))))))))))))))
   3(0(0(0(0(1(3(3(1(0(0(0(0(2(0(3(3(3(x1)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(x1))))))))))))))))))
   3(0(0(0(3(3(1(1(3(2(0(0(1(1(0(2(3(0(x1)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(x1))))))))))))))))))
   3(0(0(3(1(0(2(0(3(0(0(2(1(0(0(0(2(3(x1)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(x1))))))))))))))))))
   3(0(1(3(0(3(3(2(2(3(3(0(3(1(3(3(3(1(x1)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(x1))))))))))))))))))
   3(0(2(0(2(1(2(0(1(1(3(0(0(0(3(0(2(3(x1)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(x1))))))))))))))))))
   3(0(2(3(3(1(1(3(2(3(3(1(1(3(1(1(0(2(x1)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(x1))))))))))))))))))
   3(1(0(0(1(1(3(3(1(1(2(1(3(2(2(2(2(2(x1)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(x1))))))))))))))))))
   3(1(0(3(3(1(0(2(2(0(2(1(3(3(3(3(2(3(x1)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(x1))))))))))))))))))
   3(1(1(0(0(2(1(2(1(3(2(3(0(1(1(0(1(2(x1)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(x1))))))))))))))))))
   3(1(1(0(2(1(1(2(0(0(0(2(2(3(2(3(2(0(x1)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(x1))))))))))))))))))
   3(1(1(2(3(3(0(3(0(0(2(2(1(3(1(2(1(2(x1)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(x1))))))))))))))))))
   3(1(2(0(0(2(1(2(2(3(0(0(0(1(1(1(3(1(x1)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(x1))))))))))))))))))
   3(1(3(1(0(2(1(2(3(3(2(0(0(0(0(3(3(3(x1)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(x1))))))))))))))))))
   3(2(0(0(2(1(3(3(2(2(3(0(3(0(3(2(3(2(x1)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(0(2(1(2(1(1(1(2(2(1(2(x1)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(x1))))))))))))))))))
   3(3(0(0(0(3(2(3(2(3(2(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(x1))))))))))))))))))
   3(3(0(2(2(0(2(2(2(0(2(3(3(3(1(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(x1))))))))))))))))))
   3(3(0(3(0(3(2(2(0(2(3(3(3(3(3(3(0(2(x1)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(x1))))))))))))))))))
   3(3(2(1(3(1(0(0(0(3(2(1(2(1(2(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(x1))))))))))))))))))
   3(3(2(3(1(2(3(3(1(2(2(0(1(2(0(0(0(1(x1)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(x1))))))))))))))))))
   3(3(2(3(2(0(2(1(0(0(0(3(0(1(1(3(0(2(x1)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(x1))))))))))))))))))
   3(3(3(0(2(1(0(0(2(1(0(1(0(1(0(2(0(0(x1)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(x1))))))))))))))))))
   3(3(3(1(0(1(3(2(0(3(1(0(2(0(1(1(0(1(x1)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(x1))))))))))))))))))
   3(3(3(1(3(3(2(3(3(0(2(1(0(1(3(1(3(3(x1)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(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_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(0(0(0(0(1(0(1(0(3(2(2(3(3(1(1(3(3(x1)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(x1))))))))))))))))))
   0(0(1(1(2(3(0(0(2(3(3(0(0(1(0(2(2(1(x1)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(x1))))))))))))))))))
   0(0(1(3(1(0(0(0(2(3(3(1(1(3(0(0(2(2(x1)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(x1))))))))))))))))))
   0(0(2(0(0(3(0(2(2(3(3(2(2(2(3(0(2(3(x1)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(x1))))))))))))))))))
   0(0(2(1(1(1(0(2(0(1(1(0(3(3(1(3(3(1(x1)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(x1))))))))))))))))))
   0(0(2(2(2(2(2(1(2(2(1(1(1(0(2(1(1(1(x1)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(x1))))))))))))))))))
   0(0(2(2(3(0(3(3(2(2(0(3(3(2(0(1(3(3(x1)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(x1))))))))))))))))))
   0(0(3(3(3(3(1(0(1(0(2(3(1(0(2(0(2(1(x1)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(x1))))))))))))))))))
   0(1(1(0(1(2(2(0(0(2(3(3(1(2(1(2(1(1(x1)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x1))))))))))))))))))
   0(1(1(1(0(0(2(2(2(3(0(1(2(0(2(2(3(3(x1)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(x1))))))))))))))))))
   0(1(3(0(2(3(1(1(1(0(0(0(0(1(2(2(1(2(x1)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x1))))))))))))))))))
   0(2(0(2(0(3(3(1(2(3(3(2(2(3(1(2(2(3(x1)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(x1))))))))))))))))))
   0(2(0(3(3(2(2(1(2(0(0(3(1(3(3(2(3(3(x1)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(x1))))))))))))))))))
   0(2(1(0(0(2(0(2(2(3(0(1(0(2(1(1(2(3(x1)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(x1))))))))))))))))))
   0(3(3(2(2(3(2(2(2(1(0(3(2(1(0(3(3(2(x1)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(x1))))))))))))))))))
   1(0(0(0(0(2(0(0(2(1(0(1(1(3(2(3(2(1(x1)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(x1))))))))))))))))))
   1(0(0(0(3(1(2(3(3(3(1(1(0(3(2(3(0(3(x1)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(x1))))))))))))))))))
   1(0(0(2(1(3(2(3(2(0(2(2(3(1(3(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(x1))))))))))))))))))
   1(0(1(0(1(1(3(1(0(1(3(1(1(0(2(0(0(2(x1)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(x1))))))))))))))))))
   1(0(2(1(2(3(3(1(2(0(2(1(3(1(1(2(2(1(x1)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(x1))))))))))))))))))
   1(0(2(2(2(2(1(1(0(1(0(3(2(2(2(2(1(1(x1)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(x1))))))))))))))))))
   1(0(2(3(1(1(1(0(0(1(0(1(1(2(3(2(0(1(x1)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(x1))))))))))))))))))
   1(0(3(3(1(2(0(0(1(3(1(2(2(3(2(1(0(2(x1)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(x1))))))))))))))))))
   1(1(0(2(0(3(3(3(1(2(1(2(3(1(1(0(1(2(x1)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(x1))))))))))))))))))
   1(1(1(1(3(1(1(1(3(3(1(2(1(3(3(2(2(2(x1)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(x1))))))))))))))))))
   1(1(1(3(3(3(2(2(1(1(0(1(0(2(0(2(3(3(x1)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(x1))))))))))))))))))
   1(1(2(1(0(2(3(2(1(2(2(1(0(0(3(3(2(1(x1)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(x1))))))))))))))))))
   1(1(3(3(3(1(2(3(1(2(1(1(3(3(1(1(0(2(x1)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(x1))))))))))))))))))
   1(1(3(3(3(2(1(1(1(3(1(1(1(1(0(2(1(1(x1)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(x1))))))))))))))))))
   1(2(0(0(1(3(2(1(0(1(2(0(3(1(0(1(3(1(x1)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(x1))))))))))))))))))
   1(2(2(2(2(3(2(3(1(0(3(2(1(1(0(0(0(3(x1)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(x1))))))))))))))))))
   1(2(3(1(1(0(2(2(3(3(0(2(1(2(1(0(3(3(x1)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(x1))))))))))))))))))
   1(2(3(2(1(2(2(0(0(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(x1))))))))))))))))))
   1(3(1(0(1(3(3(1(1(0(2(3(1(3(3(3(3(1(x1)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(x1))))))))))))))))))
   1(3(2(1(0(3(0(2(2(2(3(2(1(1(2(0(2(1(x1)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(x1))))))))))))))))))
   1(3(3(0(3(3(0(2(2(1(0(1(0(1(1(3(3(3(x1)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(x1))))))))))))))))))
   1(3(3(3(3(3(1(1(2(1(0(1(0(1(3(3(1(3(x1)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(x1))))))))))))))))))
   2(0(0(1(2(3(0(1(0(1(0(0(0(2(0(1(0(2(x1)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(x1))))))))))))))))))
   2(0(1(0(2(0(2(1(2(2(1(2(0(0(3(1(2(2(x1)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(x1))))))))))))))))))
   2(1(0(0(0(0(1(0(3(3(3(2(1(1(0(2(0(1(x1)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(x1))))))))))))))))))
   2(1(0(1(1(2(0(3(1(3(3(3(3(3(3(1(1(2(x1)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(x1))))))))))))))))))
   2(1(0(1(3(1(0(2(0(1(3(1(1(1(1(3(1(3(x1)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(x1))))))))))))))))))
   2(1(1(0(2(1(3(1(0(0(1(1(0(3(0(0(1(0(x1)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(x1))))))))))))))))))
   2(1(1(2(2(3(0(2(3(1(2(1(2(0(2(0(0(3(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(x1))))))))))))))))))
   2(1(2(2(2(1(0(1(1(0(3(1(1(0(2(3(1(1(x1)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(x1))))))))))))))))))
   2(2(1(1(2(2(1(1(3(3(3(1(0(0(0(1(3(3(x1)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(x1))))))))))))))))))
   2(2(1(2(0(0(0(0(0(3(3(0(3(2(2(0(3(3(x1)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(x1))))))))))))))))))
   2(2(2(0(2(2(2(1(3(2(3(1(2(0(2(2(2(1(x1)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(x1))))))))))))))))))
   2(2(3(1(3(3(2(2(2(3(2(1(2(3(0(2(0(2(x1)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(x1))))))))))))))))))
   2(2(3(2(1(3(2(3(1(2(0(0(2(2(1(0(0(2(x1)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(x1))))))))))))))))))
   2(3(1(2(0(0(0(0(1(2(2(1(1(2(3(3(3(1(x1)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(x1))))))))))))))))))
   2(3(1(2(3(0(1(2(1(0(0(3(3(3(0(3(0(1(x1)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(x1))))))))))))))))))
   2(3(2(1(2(2(2(2(0(0(3(0(1(1(0(1(0(2(x1)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(x1))))))))))))))))))
   2(3(2(3(2(2(0(2(0(0(1(3(3(1(3(2(2(3(x1)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(x1))))))))))))))))))
   2(3(3(0(0(3(2(2(3(0(1(3(3(0(2(3(3(1(x1)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(x1))))))))))))))))))
   2(3(3(2(3(1(2(3(1(1(2(3(1(2(2(1(1(2(x1)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(x1))))))))))))))))))
   3(0(0(0(0(1(3(3(1(0(0(0(0(2(0(3(3(3(x1)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(x1))))))))))))))))))
   3(0(0(0(3(3(1(1(3(2(0(0(1(1(0(2(3(0(x1)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(x1))))))))))))))))))
   3(0(0(3(1(0(2(0(3(0(0(2(1(0(0(0(2(3(x1)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(x1))))))))))))))))))
   3(0(1(3(0(3(3(2(2(3(3(0(3(1(3(3(3(1(x1)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(x1))))))))))))))))))
   3(0(2(0(2(1(2(0(1(1(3(0(0(0(3(0(2(3(x1)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(x1))))))))))))))))))
   3(0(2(3(3(1(1(3(2(3(3(1(1(3(1(1(0(2(x1)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(x1))))))))))))))))))
   3(1(0(0(1(1(3(3(1(1(2(1(3(2(2(2(2(2(x1)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(x1))))))))))))))))))
   3(1(0(3(3(1(0(2(2(0(2(1(3(3(3(3(2(3(x1)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(x1))))))))))))))))))
   3(1(1(0(0(2(1(2(1(3(2(3(0(1(1(0(1(2(x1)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(x1))))))))))))))))))
   3(1(1(0(2(1(1(2(0(0(0(2(2(3(2(3(2(0(x1)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(x1))))))))))))))))))
   3(1(1(2(3(3(0(3(0(0(2(2(1(3(1(2(1(2(x1)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(x1))))))))))))))))))
   3(1(2(0(0(2(1(2(2(3(0(0(0(1(1(1(3(1(x1)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(x1))))))))))))))))))
   3(1(3(1(0(2(1(2(3(3(2(0(0(0(0(3(3(3(x1)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(x1))))))))))))))))))
   3(2(0(0(2(1(3(3(2(2(3(0(3(0(3(2(3(2(x1)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(x1))))))))))))))))))
   3(2(2(3(1(2(2(0(2(1(2(1(1(1(2(2(1(2(x1)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(x1))))))))))))))))))
   3(3(0(0(0(3(2(3(2(3(2(0(0(1(3(1(0(1(x1)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(x1))))))))))))))))))
   3(3(0(2(2(0(2(2(2(0(2(3(3(3(1(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(x1))))))))))))))))))
   3(3(0(3(0(3(2(2(0(2(3(3(3(3(3(3(0(2(x1)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(x1))))))))))))))))))
   3(3(2(1(3(1(0(0(0(3(2(1(2(1(2(3(1(2(x1)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(x1))))))))))))))))))
   3(3(2(3(1(2(3(3(1(2(2(0(1(2(0(0(0(1(x1)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(x1))))))))))))))))))
   3(3(2(3(2(0(2(1(0(0(0(3(0(1(1(3(0(2(x1)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(x1))))))))))))))))))
   3(3(3(0(2(1(0(0(2(1(0(1(0(1(0(2(0(0(x1)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(x1))))))))))))))))))
   3(3(3(1(0(1(3(2(0(3(1(0(2(0(1(1(0(1(x1)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(x1))))))))))))))))))
   3(3(3(1(3(3(2(3(3(0(2(1(0(1(3(1(3(3(x1)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(x1))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_1_1
   encode_3_1
   encode_2_1
   0'_1
   1'_1
   2'_1
   3'_1

Due to the following rules being added:

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

And the following fresh constants:    const, const1

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

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

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

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

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

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

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

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

   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x1'))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x1'))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x1''))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x1''))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(x11))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(x12))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x12))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(x13))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x13))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(x14))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x14))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(x15))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x15))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(x16))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x16))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(x17))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x17))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(x18))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x18))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(x19))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x19))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(x110))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x110))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(x111))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x111))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(x112))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x112))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x113))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x113))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(c_0(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(x1)))))))))))))))))) -> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(const))))))))))))))))) [1]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x114))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x114))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x115))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x115))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(x116))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x116))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(x117))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x117))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(x118))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x118))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(x119))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x119))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(x120))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x120))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(x121))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x121))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(x122))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x122))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(x123))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x123))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(x124))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x124))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(x125))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x125))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(x126))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x126))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(x127))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x127))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x128))))))))))))))))))))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x128))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(c_0(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))) -> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(const))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x129))))))))))))))))))))))))))))))))))) -> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x129))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x130))))))))))))))))))))))))))))))))))) -> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x130))))))))))))))))))))))))))))))))))) [2]
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   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(x1)))))))))))))))))) -> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(const))))))))))))))))) [1]
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(x1)))))))))))))))))) -> 3'(2'(0'(3'(2'(0'(1'(0'(1'(2'(1'(1'(3'(0'(2'(1'(1'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x11597))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11597))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x11598))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11598))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(x11599))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11599))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(x11600))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11600))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(x11601))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11601))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(x11602))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11602))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(x11603))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11603))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(x11604))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11604))))))))))))))))))))))))))))))))))) [2]
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   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(x11606))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11606))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(x11607))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11607))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(x11608))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11608))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(x11609))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11609))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(x11610))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11610))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x11611))))))))))))))))))))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11611))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(c_0(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(x1)))))))))))))))))) -> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(const))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(x1)))))))))))))))))) -> 1'(1'(1'(2'(1'(2'(0'(3'(2'(2'(0'(2'(2'(2'(0'(2'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x11656))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11656))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x11657))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11657))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(x11658))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11658))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(x11659))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11659))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(x11660))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11660))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(x11661))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11661))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(x11662))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11662))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(x11663))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11663))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(x11664))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11664))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(x11665))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11665))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(x11666))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11666))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(x11667))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11667))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(x11668))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11668))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(x11669))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11669))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(x11670))))))))))))))))))))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11670))))))))))))))))))))))))))))))))))) [2]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(c_0(x1)))))))))))))))))) [1]
   2'(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(x1)))))))))))))))))) -> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(const))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(cons_3(x_12))) -> 0'(3'(encArg(x_12))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_13))) -> 1'(0'(encArg(x_13))) [0]
   encArg(cons_1(cons_1(x_14))) -> 1'(1'(encArg(x_14))) [0]
   encArg(cons_1(cons_2(x_15))) -> 1'(2'(encArg(x_15))) [0]
   encArg(cons_1(cons_3(x_16))) -> 1'(3'(encArg(x_16))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_17))) -> 2'(0'(encArg(x_17))) [0]
   encArg(cons_2(cons_1(x_18))) -> 2'(1'(encArg(x_18))) [0]
   encArg(cons_2(cons_2(x_19))) -> 2'(2'(encArg(x_19))) [0]
   encArg(cons_2(cons_3(x_110))) -> 2'(3'(encArg(x_110))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_3(cons_0(x_111))) -> 3'(0'(encArg(x_111))) [0]
   encArg(cons_3(cons_1(x_112))) -> 3'(1'(encArg(x_112))) [0]
   encArg(cons_3(cons_2(x_113))) -> 3'(2'(encArg(x_113))) [0]
   encArg(cons_3(cons_3(x_114))) -> 3'(3'(encArg(x_114))) [0]
   encArg(cons_3(x_1)) -> 3'(const) [0]
   encode_0(cons_0(x_115)) -> 0'(0'(encArg(x_115))) [0]
   encode_0(cons_1(x_116)) -> 0'(1'(encArg(x_116))) [0]
   encode_0(cons_2(x_117)) -> 0'(2'(encArg(x_117))) [0]
   encode_0(cons_3(x_118)) -> 0'(3'(encArg(x_118))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_119)) -> 1'(0'(encArg(x_119))) [0]
   encode_1(cons_1(x_120)) -> 1'(1'(encArg(x_120))) [0]
   encode_1(cons_2(x_121)) -> 1'(2'(encArg(x_121))) [0]
   encode_1(cons_3(x_122)) -> 1'(3'(encArg(x_122))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_3(cons_0(x_123)) -> 3'(0'(encArg(x_123))) [0]
   encode_3(cons_1(x_124)) -> 3'(1'(encArg(x_124))) [0]
   encode_3(cons_2(x_125)) -> 3'(2'(encArg(x_125))) [0]
   encode_3(cons_3(x_126)) -> 3'(3'(encArg(x_126))) [0]
   encode_3(x_1) -> 3'(const) [0]
   encode_2(cons_0(x_127)) -> 2'(0'(encArg(x_127))) [0]
   encode_2(cons_1(x_128)) -> 2'(1'(encArg(x_128))) [0]
   encode_2(cons_2(x_129)) -> 2'(2'(encArg(x_129))) [0]
   encode_2(cons_3(x_130)) -> 2'(3'(encArg(x_130))) [0]
   encode_2(x_1) -> 2'(const) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

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

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

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

   const => 0
   const1 => 0

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

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

   0'(z) -{ 1 }-> 2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(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
   0'(z) -{ 1 }-> 2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(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 }-> 2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11222))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11222))))))))))))))))))))))))))))))))), x11222 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11211))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11211))))))))))))))))))))))))))))))))), x11211 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11221))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11221))))))))))))))))))))))))))))))))), x11221 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11216))))))))))))))))))))))))))))))))))) :|: x11216 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11216)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11215))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11215))))))))))))))))))))))))))))))))), x11215 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11217))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11217))))))))))))))))))))))))))))))))), x11217 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11214))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11214))))))))))))))))))))))))))))))))), x11214 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11212))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11212))))))))))))))))))))))))))))))))), x11212 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11218))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11218))))))))))))))))))))))))))))))))), x11218 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11209))))))))))))))))))))))))))))))))))) :|: x11209 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11209)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11219))))))))))))))))))))))))))))))))))) :|: x11219 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11219)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11223))))))))))))))))))))))))))))))))))) :|: x11223 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11223)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11210))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11210))))))))))))))))))))))))))))))))), x11210 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11220))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11220))))))))))))))))))))))))))))))))), x11220 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11213))))))))))))))))))))))))))))))))))) :|: x11213 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11213)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(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
   0'(z) -{ 1 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(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
   0'(z) -{ 1 }-> 0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(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
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11016))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11016))))))))))))))))))))))))))))))))), x11016 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11005))))))))))))))))))))))))))))))))))) :|: x11005 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11005)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11015))))))))))))))))))))))))))))))))))) :|: x11015 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11015)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11010))))))))))))))))))))))))))))))))))) :|: x11010 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11010)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11009))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11009))))))))))))))))))))))))))))))))), x11009 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11011))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11011))))))))))))))))))))))))))))))))), x11011 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11008))))))))))))))))))))))))))))))))))) :|: x11008 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11008)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11006))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11006))))))))))))))))))))))))))))))))), x11006 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11012))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11012))))))))))))))))))))))))))))))))), x11012 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11003))))))))))))))))))))))))))))))))))) :|: x11003 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11003)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11013))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11013))))))))))))))))))))))))))))))))), x11013 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11017))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11017))))))))))))))))))))))))))))))))), x11017 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11004))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11004))))))))))))))))))))))))))))))))), x11004 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11014))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11014))))))))))))))))))))))))))))))))), x11014 >= 0
   0'(z) -{ 2 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11007))))))))))))))))))))))))))))))))))) :|: x11007 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11007)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(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'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(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
   0'(z) -{ 1 }-> 0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(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'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(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'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(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) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11348))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11348))))))))))))))))))))))))))))))))), x11348 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11337))))))))))))))))))))))))))))))))))) :|: x11337 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11337)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11347))))))))))))))))))))))))))))))))))) :|: x11347 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11347)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11342))))))))))))))))))))))))))))))))))) :|: x11342 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11342)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11341))))))))))))))))))))))))))))))))))) :|: x11341 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11341)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11343))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11343))))))))))))))))))))))))))))))))), x11343 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11340))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11340))))))))))))))))))))))))))))))))), x11340 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11338))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11338))))))))))))))))))))))))))))))))), x11338 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11344))))))))))))))))))))))))))))))))))) :|: x11344 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11344)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11335))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11335))))))))))))))))))))))))))))))))), x11335 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11345))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11345))))))))))))))))))))))))))))))))), x11345 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11349))))))))))))))))))))))))))))))))))) :|: x11349 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11349)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11336))))))))))))))))))))))))))))))))))) :|: x11336 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11336)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11346))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11346))))))))))))))))))))))))))))))))), x11346 >= 0
   0'(z) -{ 2 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11339))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11339))))))))))))))))))))))))))))))))), x11339 >= 0
   0'(z) -{ 1 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(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
   0'(z) -{ 1 }-> 0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 3'(2'(2'(1'(2'(0'(3'(2'(1'(1'(0'(1'(3'(0'(3'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(3'(1'(1'(2'(0'(1'(2'(0'(3'(2'(0'(1'(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 }-> 2'(3'(0'(1'(2'(1'(3'(2'(0'(1'(2'(0'(1'(3'(2'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11185))))))))))))))))))))))))))))))))))) :|: x11185 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11185)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11174))))))))))))))))))))))))))))))))))) :|: x11174 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11174)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11184))))))))))))))))))))))))))))))))))) :|: x11184 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11184)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11179))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11179))))))))))))))))))))))))))))))))), x11179 >= 0
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11178))))))))))))))))))))))))))))))))))) :|: x11178 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11178)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11180))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11180))))))))))))))))))))))))))))))))), x11180 >= 0
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11177))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11177))))))))))))))))))))))))))))))))), x11177 >= 0
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11175))))))))))))))))))))))))))))))))))) :|: x11175 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11175)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11181))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11181))))))))))))))))))))))))))))))))), x11181 >= 0
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11172))))))))))))))))))))))))))))))))))) :|: x11172 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11172)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11182))))))))))))))))))))))))))))))))))) :|: x11182 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11182)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11186))))))))))))))))))))))))))))))))))) :|: x11186 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11186)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11173))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11173))))))))))))))))))))))))))))))))), x11173 >= 0
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11183))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11183))))))))))))))))))))))))))))))))), x11183 >= 0
   1'(z) -{ 2 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11176))))))))))))))))))))))))))))))))))) :|: x11176 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11176)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(2'(2'(2'(0'(1'(2'(3'(0'(1'(2'(1'(3'(1'(3'(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 }-> 2'(2'(1'(2'(0'(1'(1'(3'(0'(0'(3'(2'(3'(3'(2'(0'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11452))))))))))))))))))))))))))))))))))) :|: x11452 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11452)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11441))))))))))))))))))))))))))))))))))) :|: x11441 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11441)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11451))))))))))))))))))))))))))))))))))) :|: x11451 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11451)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11446))))))))))))))))))))))))))))))))))) :|: x11446 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11446)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11445))))))))))))))))))))))))))))))))))) :|: x11445 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11445)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11447))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11447))))))))))))))))))))))))))))))))), x11447 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11444))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11444))))))))))))))))))))))))))))))))), x11444 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11442))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11442))))))))))))))))))))))))))))))))), x11442 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11448))))))))))))))))))))))))))))))))))) :|: x11448 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11448)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11439))))))))))))))))))))))))))))))))))) :|: x11439 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11439)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11449))))))))))))))))))))))))))))))))))) :|: x11449 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11449)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11453))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11453))))))))))))))))))))))))))))))))), x11453 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11440))))))))))))))))))))))))))))))))))) :|: x11440 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11440)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11450))))))))))))))))))))))))))))))))))) :|: x11450 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11450)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11443))))))))))))))))))))))))))))))))))) :|: x11443 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11443)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(0'(1'(3'(2'(0'(1'(0'(1'(3'(0'(1'(0'(1'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(1'(2'(3'(0'(3'(3'(2'(1'(2'(0'(3'(2'(0'(1'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(0'(3'(1'(2'(2'(1'(0'(1'(2'(2'(0'(1'(0'(2'(0'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11534))))))))))))))))))))))))))))))))))) :|: x11534 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11534)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11523))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11523))))))))))))))))))))))))))))))))), x11523 >= 0
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11533))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11533))))))))))))))))))))))))))))))))), x11533 >= 0
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11528))))))))))))))))))))))))))))))))))) :|: x11528 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11528)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11527))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11527))))))))))))))))))))))))))))))))), x11527 >= 0
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11529))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11529))))))))))))))))))))))))))))))))), x11529 >= 0
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11526))))))))))))))))))))))))))))))))))) :|: x11526 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11526)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11524))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11524))))))))))))))))))))))))))))))))), x11524 >= 0
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11530))))))))))))))))))))))))))))))))))) :|: x11530 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11530)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11521))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11521))))))))))))))))))))))))))))))))), x11521 >= 0
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11531))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11531))))))))))))))))))))))))))))))))), x11531 >= 0
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11535))))))))))))))))))))))))))))))))))) :|: x11535 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11535)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11522))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11522))))))))))))))))))))))))))))))))), x11522 >= 0
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11532))))))))))))))))))))))))))))))))))) :|: x11532 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11532)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11525))))))))))))))))))))))))))))))))))) :|: x11525 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11525)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(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'(3'(2'(1'(0'(2'(2'(2'(2'(0'(1'(1'(3'(2'(1'(3'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(1'(3'(2'(1'(0'(0'(3'(0'(3'(3'(0'(1'(3'(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'(3'(1'(1'(3'(2'(3'(0'(1'(1'(3'(3'(3'(0'(3'(1'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(0'(2'(1'(1'(1'(3'(3'(1'(3'(1'(3'(2'(3'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(1'(0'(0'(3'(1'(3'(2'(0'(3'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(1'(1'(1'(1'(1'(2'(1'(3'(0'(3'(3'(3'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x1161))))))))))))))))))))))))))))))))))) :|: x1161 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1161)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x1150))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1150))))))))))))))))))))))))))))))))), x1150 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x1160))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1160))))))))))))))))))))))))))))))))), x1160 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x1155))))))))))))))))))))))))))))))))))) :|: x1155 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1155)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x1154))))))))))))))))))))))))))))))))))) :|: x1154 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1154)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x1156))))))))))))))))))))))))))))))))))) :|: x1156 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1156)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x1153))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1153))))))))))))))))))))))))))))))))), x1153 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x1151))))))))))))))))))))))))))))))))))) :|: x1151 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1151)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x1157))))))))))))))))))))))))))))))))))) :|: x1157 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1157)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x1148))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1148))))))))))))))))))))))))))))))))), x1148 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x1158))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1158))))))))))))))))))))))))))))))))), x1158 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x1162))))))))))))))))))))))))))))))))))) :|: x1162 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1162)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x1149))))))))))))))))))))))))))))))))))) :|: x1149 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1149)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x1159))))))))))))))))))))))))))))))))))) :|: x1159 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1159)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(2'(1'(2'(3'(2'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x1152))))))))))))))))))))))))))))))))))) :|: x1152 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1152)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(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
   1'(z) -{ 1 }-> 1'(1'(3'(2'(1'(0'(1'(1'(1'(2'(3'(2'(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
   1'(z) -{ 1 }-> 1'(1'(1'(2'(1'(2'(0'(3'(2'(2'(0'(2'(2'(2'(0'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(1'(1'(3'(2'(3'(3'(3'(2'(1'(1'(1'(3'(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
   1'(z) -{ 1 }-> 1'(1'(1'(0'(1'(1'(2'(0'(0'(2'(0'(3'(1'(1'(3'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(3'(3'(2'(1'(0'(3'(1'(2'(1'(1'(1'(0'(2'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(3'(3'(1'(3'(1'(2'(3'(3'(1'(3'(1'(1'(3'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(0'(2'(0'(1'(1'(1'(3'(3'(0'(1'(2'(0'(1'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(3'(3'(2'(3'(0'(3'(0'(1'(1'(3'(3'(1'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11669))))))))))))))))))))))))))))))))))) :|: x11669 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11669)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11658))))))))))))))))))))))))))))))))))) :|: x11658 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11658)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11668))))))))))))))))))))))))))))))))))) :|: x11668 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11668)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11663))))))))))))))))))))))))))))))))))) :|: x11663 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11663)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11662))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11662))))))))))))))))))))))))))))))))), x11662 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11664))))))))))))))))))))))))))))))))))) :|: x11664 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11664)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11661))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11661))))))))))))))))))))))))))))))))), x11661 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11659))))))))))))))))))))))))))))))))))) :|: x11659 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11659)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11665))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11665))))))))))))))))))))))))))))))))), x11665 >= 0
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11656))))))))))))))))))))))))))))))))))) :|: x11656 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11656)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11666))))))))))))))))))))))))))))))))))) :|: x11666 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11666)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11670))))))))))))))))))))))))))))))))))) :|: x11670 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11670)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11657))))))))))))))))))))))))))))))))))) :|: x11657 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11657)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11667))))))))))))))))))))))))))))))))))) :|: x11667 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11667)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11660))))))))))))))))))))))))))))))))))) :|: x11660 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11660)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(1'(1'(3'(0'(3'(0'(2'(1'(3'(0'(0'(3'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(2'(0'(1'(3'(3'(1'(3'(1'(0'(1'(1'(1'(3'(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
   2'(z) -{ 1 }-> 2'(3'(0'(0'(1'(2'(3'(3'(1'(1'(3'(0'(1'(1'(1'(2'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(3'(2'(2'(2'(0'(1'(2'(2'(2'(2'(0'(3'(1'(2'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(0'(1'(1'(3'(2'(0'(2'(1'(0'(3'(0'(1'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(0'(1'(1'(0'(3'(0'(3'(2'(2'(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
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(2'(0'(3'(0'(0'(0'(3'(3'(0'(0'(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
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(2'(2'(0'(3'(2'(0'(0'(1'(0'(3'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(1'(2'(3'(2'(3'(2'(3'(0'(3'(2'(2'(3'(0'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(3'(1'(3'(2'(3'(2'(2'(3'(3'(0'(1'(2'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(2'(0'(3'(3'(1'(3'(3'(3'(0'(3'(0'(3'(2'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x112))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x112))))))))))))))))))))))))))))))))), x112 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11))))))))))))))))))))))))))))))))), x11 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x111))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x111))))))))))))))))))))))))))))))))), x111 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x16))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x16))))))))))))))))))))))))))))))))), x16 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x15))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x15))))))))))))))))))))))))))))))))), x15 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x17))))))))))))))))))))))))))))))))))) :|: x17 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x17)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x14))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x14))))))))))))))))))))))))))))))))), x14 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x12))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12))))))))))))))))))))))))))))))))), x12 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x18))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x18))))))))))))))))))))))))))))))))), x18 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x1'))))))))))))))))))))))))))))))))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1')))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x19))))))))))))))))))))))))))))))))))) :|: x19 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x19)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x113))))))))))))))))))))))))))))))))))) :|: x113 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x113)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x1''))))))))))))))))))))))))))))))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1'')))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x110))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x110))))))))))))))))))))))))))))))))), x110 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x13))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13))))))))))))))))))))))))))))))))), x13 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(0'(0'(3'(3'(2'(2'(1'(1'(2'(1'(2'(3'(0'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x142))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x142))))))))))))))))))))))))))))))))), x142 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x131))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x131))))))))))))))))))))))))))))))))), x131 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x141))))))))))))))))))))))))))))))))))) :|: x141 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x141)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x136))))))))))))))))))))))))))))))))))) :|: x136 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x136)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x135))))))))))))))))))))))))))))))))))) :|: x135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x135)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x137))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x137))))))))))))))))))))))))))))))))), x137 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x134))))))))))))))))))))))))))))))))))) :|: x134 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x134)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x132))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x132))))))))))))))))))))))))))))))))), x132 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x138))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x138))))))))))))))))))))))))))))))))), x138 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x129))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x129))))))))))))))))))))))))))))))))), x129 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x139))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x139))))))))))))))))))))))))))))))))), x139 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x143))))))))))))))))))))))))))))))))))) :|: x143 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x143)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x130))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x130))))))))))))))))))))))))))))))))), x130 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x140))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x140))))))))))))))))))))))))))))))))), x140 >= 0
   2'(z) -{ 2 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x133))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x133))))))))))))))))))))))))))))))))), x133 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(1'(1'(1'(2'(0'(3'(1'(0'(0'(1'(1'(0'(0'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(0'(3'(0'(1'(2'(1'(1'(1'(1'(1'(1'(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
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11237))))))))))))))))))))))))))))))))))) :|: x11237 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11237)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11226))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11226))))))))))))))))))))))))))))))))), x11226 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11236))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11236))))))))))))))))))))))))))))))))), x11236 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11231))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11231))))))))))))))))))))))))))))))))), x11231 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11230))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11230))))))))))))))))))))))))))))))))), x11230 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11232))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11232))))))))))))))))))))))))))))))))), x11232 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11229))))))))))))))))))))))))))))))))))) :|: x11229 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11229)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11227))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11227))))))))))))))))))))))))))))))))), x11227 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11233))))))))))))))))))))))))))))))))))) :|: x11233 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11233)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11224))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11224))))))))))))))))))))))))))))))))), x11224 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11234))))))))))))))))))))))))))))))))))) :|: x11234 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11234)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11238))))))))))))))))))))))))))))))))))) :|: x11238 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11238)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11225))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11225))))))))))))))))))))))))))))))))), x11225 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11235))))))))))))))))))))))))))))))))))) :|: x11235 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11235)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11228))))))))))))))))))))))))))))))))))) :|: x11228 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11228)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(1'(0'(3'(0'(3'(1'(0'(1'(2'(2'(0'(3'(0'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(0'(2'(2'(0'(3'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(1'(1'(1'(2'(0'(0'(3'(2'(0'(0'(0'(0'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(2'(1'(1'(1'(1'(3'(2'(3'(3'(2'(2'(3'(2'(1'(3'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(1'(1'(2'(3'(0'(1'(2'(2'(1'(2'(0'(3'(2'(1'(1'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(1'(0'(3'(2'(3'(1'(3'(3'(2'(1'(0'(3'(1'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(0'(2'(1'(2'(1'(3'(2'(0'(2'(0'(2'(3'(2'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(0'(0'(1'(2'(3'(1'(0'(1'(3'(1'(1'(2'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(2'(3'(3'(2'(0'(1'(3'(0'(0'(1'(1'(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
   3'(z) -{ 1 }-> 3'(3'(2'(3'(0'(3'(3'(3'(0'(2'(3'(0'(3'(0'(2'(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
   3'(z) -{ 1 }-> 3'(3'(0'(1'(3'(3'(0'(2'(0'(3'(0'(1'(0'(3'(2'(2'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(2'(1'(3'(1'(1'(0'(1'(2'(0'(2'(3'(1'(3'(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'(2'(3'(1'(0'(3'(0'(2'(1'(1'(3'(1'(1'(3'(1'(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
   3'(z) -{ 1 }-> 3'(2'(1'(0'(3'(0'(1'(2'(2'(1'(1'(1'(1'(3'(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) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11573))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11573))))))))))))))))))))))))))))))))), x11573 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11562))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11562))))))))))))))))))))))))))))))))), x11562 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11572))))))))))))))))))))))))))))))))))) :|: x11572 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11572)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11567))))))))))))))))))))))))))))))))))) :|: x11567 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11567)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11566))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11566))))))))))))))))))))))))))))))))), x11566 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11568))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11568))))))))))))))))))))))))))))))))), x11568 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11565))))))))))))))))))))))))))))))))))) :|: x11565 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11565)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11563))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11563))))))))))))))))))))))))))))))))), x11563 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11569))))))))))))))))))))))))))))))))))) :|: x11569 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11569)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11560))))))))))))))))))))))))))))))))))) :|: x11560 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11560)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11570))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11570))))))))))))))))))))))))))))))))), x11570 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11574))))))))))))))))))))))))))))))))))) :|: x11574 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11574)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11561))))))))))))))))))))))))))))))))))) :|: x11561 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11561)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11571))))))))))))))))))))))))))))))))))) :|: x11571 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11571)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11564))))))))))))))))))))))))))))))))))) :|: x11564 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11564)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(0'(2'(2'(2'(0'(1'(0'(3'(2'(1'(3'(2'(0'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x11610))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11610))))))))))))))))))))))))))))))))), x11610 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x11599))))))))))))))))))))))))))))))))))) :|: x11599 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11599)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x11609))))))))))))))))))))))))))))))))))) :|: x11609 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11609)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x11604))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11604))))))))))))))))))))))))))))))))), x11604 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x11603))))))))))))))))))))))))))))))))))) :|: x11603 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11603)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x11605))))))))))))))))))))))))))))))))))) :|: x11605 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11605)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x11602))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11602))))))))))))))))))))))))))))))))), x11602 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x11600))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11600))))))))))))))))))))))))))))))))), x11600 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x11606))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11606))))))))))))))))))))))))))))))))), x11606 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x11597))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11597))))))))))))))))))))))))))))))))), x11597 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x11607))))))))))))))))))))))))))))))))))) :|: x11607 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11607)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x11611))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11611))))))))))))))))))))))))))))))))), x11611 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x11598))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11598))))))))))))))))))))))))))))))))), x11598 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x11608))))))))))))))))))))))))))))))))))) :|: x11608 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11608)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x11601))))))))))))))))))))))))))))))))))) :|: x11601 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11601)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(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'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(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'(2'(0'(3'(2'(0'(1'(0'(1'(2'(1'(1'(3'(0'(2'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(3'(1'(0'(3'(0'(3'(0'(2'(2'(0'(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
   3'(z) -{ 1 }-> 3'(2'(0'(1'(2'(1'(2'(1'(1'(2'(2'(1'(2'(2'(2'(3'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(1'(1'(2'(2'(3'(1'(0'(0'(0'(1'(1'(2'(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'(2'(0'(1'(0'(1'(0'(3'(0'(3'(2'(1'(2'(0'(3'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x127))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x127))))))))))))))))))))))))))))))))), x127 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x116))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x116))))))))))))))))))))))))))))))))), x116 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x126))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x126))))))))))))))))))))))))))))))))), x126 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x121))))))))))))))))))))))))))))))))))) :|: x121 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x121)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x120))))))))))))))))))))))))))))))))))) :|: x120 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x120)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x122))))))))))))))))))))))))))))))))))) :|: x122 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x122)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x119))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x119))))))))))))))))))))))))))))))))), x119 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x117))))))))))))))))))))))))))))))))))) :|: x117 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x117)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x123))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x123))))))))))))))))))))))))))))))))), x123 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x114))))))))))))))))))))))))))))))))))) :|: x114 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x114)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x124))))))))))))))))))))))))))))))))))) :|: x124 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x124)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x128))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x128))))))))))))))))))))))))))))))))), x128 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x115))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x115))))))))))))))))))))))))))))))))), x115 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x125))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x125))))))))))))))))))))))))))))))))), x125 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x118))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x118))))))))))))))))))))))))))))))))), x118 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(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'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(x1310))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1310))))))))))))))))))))))))))))))))), x1310 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(x1299))))))))))))))))))))))))))))))))))) :|: x1299 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1299)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(x1309))))))))))))))))))))))))))))))))))) :|: x1309 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1309)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(x1304))))))))))))))))))))))))))))))))))) :|: x1304 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1304)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(x1303))))))))))))))))))))))))))))))))))) :|: x1303 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1303)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(x1305))))))))))))))))))))))))))))))))))) :|: x1305 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1305)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(x1302))))))))))))))))))))))))))))))))))) :|: x1302 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1302)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(x1300))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1300))))))))))))))))))))))))))))))))), x1300 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(x1306))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1306))))))))))))))))))))))))))))))))), x1306 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(x1297))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1297))))))))))))))))))))))))))))))))), x1297 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(x1307))))))))))))))))))))))))))))))))))) :|: x1307 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1307)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(x1311))))))))))))))))))))))))))))))))))) :|: x1311 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1311)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(x1298))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1298))))))))))))))))))))))))))))))))), x1298 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(x1308))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1308))))))))))))))))))))))))))))))))), x1308 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(x1301))))))))))))))))))))))))))))))))))) :|: x1301 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1301)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(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 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(3'(3'(0'(0'(0'(0'(3'(1'(2'(3'(0'(1'(0'(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'(0'(3'(2'(1'(2'(3'(2'(0'(3'(0'(3'(2'(3'(0'(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 }-> 3'(0'(3'(0'(2'(1'(2'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(0'(2'(0'(3'(0'(3'(3'(2'(0'(0'(1'(3'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(3'(2'(0'(2'(2'(0'(0'(1'(1'(2'(3'(1'(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'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(3'(0'(1'(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
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> 3'(1'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> 3'(0'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(3'(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(3'(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(3'(encArg(x_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(3'(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

   0'(z) -{ 1 }-> 2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 1 }-> 2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
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   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(0'(1'(1'(2'(0'(0'(3'(3'(0'(1'(2'(0'(0'(0'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(3'(2'(0'(1'(0'(1'(2'(1'(1'(3'(0'(2'(1'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(3'(1'(0'(3'(0'(3'(0'(2'(2'(0'(1'(2'(1'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(1'(2'(1'(2'(1'(1'(2'(2'(1'(2'(2'(2'(3'(1'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(1'(1'(2'(2'(3'(1'(0'(0'(0'(1'(1'(2'(3'(0'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(1'(0'(1'(0'(3'(0'(3'(2'(1'(2'(0'(3'(3'(3'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(3'(0'(2'(1'(3'(0'(0'(1'(0'(1'(1'(2'(1'(3'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(2'(0'(3'(2'(1'(3'(3'(2'(2'(2'(1'(0'(3'(2'(2'(0'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(2'(0'(3'(2'(0'(1'(2'(0'(2'(2'(3'(0'(3'(3'(3'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(2'(0'(1'(2'(2'(0'(0'(2'(2'(3'(0'(1'(1'(0'(1'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(1'(0'(0'(3'(1'(0'(2'(3'(0'(0'(1'(3'(1'(3'(2'(3'(2'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(3'(2'(3'(2'(0'(3'(0'(2'(2'(3'(1'(1'(2'(3'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(3'(2'(0'(2'(2'(2'(0'(0'(0'(2'(3'(2'(3'(2'(3'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(3'(0'(3'(1'(1'(1'(1'(2'(2'(3'(0'(0'(1'(3'(1'(1'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(3'(0'(3'(0'(2'(0'(0'(1'(1'(0'(1'(3'(2'(0'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(3'(2'(2'(0'(1'(3'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(2'(0'(1'(1'(1'(1'(2'(0'(3'(2'(0'(2'(2'(1'(3'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(1'(3'(2'(0'(3'(1'(2'(1'(1'(0'(3'(2'(0'(0'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(1'(1'(2'(2'(1'(1'(1'(1'(2'(2'(2'(0'(2'(0'(2'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(1'(1'(0'(3'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(0'(1'(3'(0'(0'(3'(3'(1'(2'(2'(0'(3'(2'(0'(0'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 2 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0'(0'(0'(1'(2'(1'(2'(2'(3'(2'(0'(1'(1'(3'(2'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(0))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(1'(3'(1'(3'(3'(1'(3'(3'(2'(0'(3'(3'(3'(0'(3'(2'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(3'(3'(0'(0'(0'(0'(3'(1'(2'(3'(0'(1'(0'(0'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(3'(2'(1'(2'(3'(2'(0'(3'(0'(3'(2'(3'(0'(3'(2'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(3'(0'(2'(1'(2'(0'(3'(3'(2'(0'(2'(2'(3'(1'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(0'(2'(0'(3'(0'(3'(3'(2'(0'(0'(1'(3'(0'(1'(1'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(3'(2'(0'(2'(2'(0'(0'(1'(1'(2'(3'(1'(0'(0'(3'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   3'(z) -{ 1 }-> 3'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(3'(0'(1'(3'(0'(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_1(v0) -> null_encode_1 [0]
   encode_3(v0) -> null_encode_3 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

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

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

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

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

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

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

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

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

   null_encArg => 0
   null_encode_0 => 0
   null_encode_1 => 0
   null_encode_3 => 0
   null_encode_2 => 0
   null_0' => 0
   null_1' => 0
   null_2' => 0
   null_3' => 0
   const => 0

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

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

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

Only complete derivations are relevant for the runtime complexity.

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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c6(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c8
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> c20(0'(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))))), 0'(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))), 1'(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))), 3'(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))), 0'(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))), 0'(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))), 3'(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))), 3'(1(2(2(0(3(2(0(0(1(1(z0))))))))))), 1'(2(2(0(3(2(0(0(1(1(z0)))))))))), 2'(2(0(3(2(0(0(1(1(z0))))))))), 2'(0(3(2(0(0(1(1(z0)))))))), 0'(3(2(0(0(1(1(z0))))))), 3'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c21(2'(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))))))))), 0'(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))), 1'(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))))))), 2'(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))), 2'(0(0(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))))), 0'(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))), 0'(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))), 2'(2(3(0(1(1(0(1(2(0(3(z0))))))))))), 2'(3(0(1(1(0(1(2(0(3(z0)))))))))), 3'(0(1(1(0(1(2(0(3(z0))))))))), 0'(1(1(0(1(2(0(3(z0)))))))), 1'(1(0(1(2(0(3(z0))))))), 1'(0(1(2(0(3(z0)))))), 0'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c22(2'(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0)))))))))))))))))), 0'(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0)))))))))))))))), 2'(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))), 1'(3(3(2(2(2(1(0(3(2(2(0(3(3(z0)))))))))))))), 3'(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))), 3'(2(2(2(1(0(3(2(2(0(3(3(z0)))))))))))), 2'(2(2(1(0(3(2(2(0(3(3(z0))))))))))), 2'(2(1(0(3(2(2(0(3(3(z0)))))))))), 2'(1(0(3(2(2(0(3(3(z0))))))))), 1'(0(3(2(2(0(3(3(z0)))))))), 0'(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))
   0'(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c23(0'(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0)))))))))))))))))), 1'(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))), 1'(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0)))))))))))))))), 2'(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))), 2'(1(1(1(1(2(2(2(0(2(0(2(2(1(z0)))))))))))))), 1'(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))), 1'(1(1(2(2(2(0(2(0(2(2(1(z0)))))))))))), 1'(1(2(2(2(0(2(0(2(2(1(z0))))))))))), 1'(2(2(2(0(2(0(2(2(1(z0)))))))))), 2'(2(2(0(2(0(2(2(1(z0))))))))), 2'(2(0(2(0(2(2(1(z0)))))))), 2'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(z0) -> c24
   1'(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> c25(1'(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0)))))))))))))))))), 1'(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))), 1'(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0)))))))))))))))), 0'(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))), 1'(1(2(0(0(2(0(3(1(1(3(2(0(1(z0)))))))))))))), 1'(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))), 2'(0(0(2(0(3(1(1(3(2(0(1(z0)))))))))))), 0'(0(2(0(3(1(1(3(2(0(1(z0))))))))))), 0'(2(0(3(1(1(3(2(0(1(z0)))))))))), 2'(0(3(1(1(3(2(0(1(z0))))))))), 0'(3(1(1(3(2(0(1(z0)))))))), 3'(1(1(3(2(0(1(z0))))))), 1'(1(3(2(0(1(z0)))))), 1'(3(2(0(1(z0))))), 3'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> c26(1'(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0)))))))))))))))))), 1'(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))), 1'(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0)))))))))))))))), 1'(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))), 1'(3(2(3(3(3(2(1(1(1(3(1(2(2(z0)))))))))))))), 3'(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))), 2'(3(3(3(2(1(1(1(3(1(2(2(z0)))))))))))), 3'(3(3(2(1(1(1(3(1(2(2(z0))))))))))), 3'(3(2(1(1(1(3(1(2(2(z0)))))))))), 3'(2(1(1(1(3(1(2(2(z0))))))))), 2'(1(1(1(3(1(2(2(z0)))))))), 1'(1(1(3(1(2(2(z0))))))), 1'(1(3(1(2(2(z0)))))), 1'(3(1(2(2(z0))))), 3'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> c27(1'(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0)))))))))))))))))), 1'(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))), 3'(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0)))))))))))))))), 2'(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))), 1'(0(1(1(1(2(3(2(2(1(2(3(2(0(z0)))))))))))))), 0'(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))), 1'(1(1(2(3(2(2(1(2(3(2(0(z0)))))))))))), 1'(1(2(3(2(2(1(2(3(2(0(z0))))))))))), 1'(2(3(2(2(1(2(3(2(0(z0)))))))))), 2'(3(2(2(1(2(3(2(0(z0))))))))), 3'(2(2(1(2(3(2(0(z0)))))))), 2'(2(1(2(3(2(0(z0))))))), 2'(1(2(3(2(0(z0)))))), 1'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> c28(1'(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0)))))))))))))))))), 3'(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))), 1'(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0)))))))))))))))), 1'(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))), 3'(2(3(0(1(1(3(3(3(0(3(1(1(3(z0)))))))))))))), 2'(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))), 3'(0(1(1(3(3(3(0(3(1(1(3(z0)))))))))))), 0'(1(1(3(3(3(0(3(1(1(3(z0))))))))))), 1'(1(3(3(3(0(3(1(1(3(z0)))))))))), 1'(3(3(3(0(3(1(1(3(z0))))))))), 3'(3(3(0(3(1(1(3(z0)))))))), 3'(3(0(3(1(1(3(z0))))))), 3'(0(3(1(1(3(z0)))))), 0'(3(1(1(3(z0))))), 3'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> c29(1'(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0)))))))))))))))))), 0'(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))), 3'(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0)))))))))))))))), 3'(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))), 3'(1(3(1(2(3(3(1(3(1(1(3(0(1(z0)))))))))))))), 1'(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))), 3'(1(2(3(3(1(3(1(1(3(0(1(z0)))))))))))), 1'(2(3(3(1(3(1(1(3(0(1(z0))))))))))), 2'(3(3(1(3(1(1(3(0(1(z0)))))))))), 3'(3(1(3(1(1(3(0(1(z0))))))))), 3'(1(3(1(1(3(0(1(z0)))))))), 1'(3(1(1(3(0(1(z0))))))), 3'(1(1(3(0(1(z0)))))), 1'(1(3(0(1(z0))))), 1'(3(0(1(z0)))), 3'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> c30(2'(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0)))))))))))))))))), 1'(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))), 2'(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0)))))))))))))))), 3'(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))), 0'(3(3(2(1(2(0(3(2(0(1(1(1(3(z0)))))))))))))), 3'(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))), 3'(2(1(2(0(3(2(0(1(1(1(3(z0)))))))))))), 2'(1(2(0(3(2(0(1(1(1(3(z0))))))))))), 1'(2(0(3(2(0(1(1(1(3(z0)))))))))), 2'(0(3(2(0(1(1(1(3(z0))))))))), 0'(3(2(0(1(1(1(3(z0)))))))), 3'(2(0(1(1(1(3(z0))))))), 2'(0(1(1(1(3(z0)))))), 0'(1(1(1(3(z0))))), 1'(1(1(3(z0)))), 1'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> c31(1'(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0)))))))))))))))))), 3'(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))), 0'(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0)))))))))))))))), 2'(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))), 1'(1(1(3(3(1(3(1(3(2(3(1(2(1(z0)))))))))))))), 1'(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))), 1'(3(3(1(3(1(3(2(3(1(2(1(z0)))))))))))), 3'(3(1(3(1(3(2(3(1(2(1(z0))))))))))), 3'(1(3(1(3(2(3(1(2(1(z0)))))))))), 1'(3(1(3(2(3(1(2(1(z0))))))))), 3'(1(3(2(3(1(2(1(z0)))))))), 1'(3(2(3(1(2(1(z0))))))), 3'(2(3(1(2(1(z0)))))), 2'(3(1(2(1(z0))))), 3'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> c32(1'(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0)))))))))))))))))), 2'(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))), 2'(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0)))))))))))))))), 1'(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))), 0'(0(3(1(3(2(0(3(0(1(0(1(1(1(z0)))))))))))))), 0'(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))), 3'(1(3(2(0(3(0(1(0(1(1(1(z0)))))))))))), 1'(3(2(0(3(0(1(0(1(1(1(z0))))))))))), 3'(2(0(3(0(1(0(1(1(1(z0)))))))))), 2'(0(3(0(1(0(1(1(1(z0))))))))), 0'(3(0(1(0(1(1(1(z0)))))))), 3'(0(1(0(1(1(1(z0))))))), 0'(1(0(1(1(1(z0)))))), 1'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> c33(1'(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0)))))))))))))))))), 3'(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))), 1'(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0)))))))))))))))), 3'(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))), 2'(1(0(0(3(0(3(3(0(1(3(2(1(3(z0)))))))))))))), 1'(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))), 0'(0(3(0(3(3(0(1(3(2(1(3(z0)))))))))))), 0'(3(0(3(3(0(1(3(2(1(3(z0))))))))))), 3'(0(3(3(0(1(3(2(1(3(z0)))))))))), 0'(3(3(0(1(3(2(1(3(z0))))))))), 3'(3(0(1(3(2(1(3(z0)))))))), 3'(0(1(3(2(1(3(z0))))))), 0'(1(3(2(1(3(z0)))))), 1'(3(2(1(3(z0))))), 3'(2(1(3(z0)))), 2'(1(3(z0))), 1'(3(z0)), 3'(z0))
   1'(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> c34(2'(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0)))))))))))))))))), 0'(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))), 3'(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0)))))))))))))))), 1'(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))), 2'(2(1(0(1(2(2(0(1(0(2(0(1(2(z0)))))))))))))), 2'(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))), 1'(0(1(2(2(0(1(0(2(0(1(2(z0)))))))))))), 0'(1(2(2(0(1(0(2(0(1(2(z0))))))))))), 1'(2(2(0(1(0(2(0(1(2(z0)))))))))), 2'(2(0(1(0(2(0(1(2(z0))))))))), 2'(0(1(0(2(0(1(2(z0)))))))), 0'(1(0(2(0(1(2(z0))))))), 1'(0(2(0(1(2(z0)))))), 0'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> c35(3'(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0)))))))))))))))))), 2'(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))), 2'(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0)))))))))))))))), 1'(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))), 2'(0(3(2(1(1(0(1(3(0(3(2(0(1(z0)))))))))))))), 0'(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))), 3'(2(1(1(0(1(3(0(3(2(0(1(z0)))))))))))), 2'(1(1(0(1(3(0(3(2(0(1(z0))))))))))), 1'(1(0(1(3(0(3(2(0(1(z0)))))))))), 1'(0(1(3(0(3(2(0(1(z0))))))))), 0'(1(3(0(3(2(0(1(z0)))))))), 1'(3(0(3(2(0(1(z0))))))), 3'(0(3(2(0(1(z0)))))), 0'(3(2(0(1(z0))))), 3'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c36(1'(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0)))))))))))))))))), 1'(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))), 0'(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0)))))))))))))))), 3'(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))), 3'(2(1(0(3(1(2(1(1(1(0(2(2(3(z0)))))))))))))), 2'(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))), 1'(0(3(1(2(1(1(1(0(2(2(3(z0)))))))))))), 0'(3(1(2(1(1(1(0(2(2(3(z0))))))))))), 3'(1(2(1(1(1(0(2(2(3(z0)))))))))), 1'(2(1(1(1(0(2(2(3(z0))))))))), 2'(1(1(1(0(2(2(3(z0)))))))), 1'(1(1(0(2(2(3(z0))))))), 1'(1(0(2(2(3(z0)))))), 1'(0(2(2(3(z0))))), 0'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   1'(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> c37(2'(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0)))))))))))))))))), 2'(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))), 1'(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0)))))))))))))))), 2'(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))), 0'(1(1(3(0(0(3(2(3(3(2(0(1(2(z0)))))))))))))), 1'(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))), 1'(3(0(0(3(2(3(3(2(0(1(2(z0)))))))))))), 3'(0(0(3(2(3(3(2(0(1(2(z0))))))))))), 0'(0(3(2(3(3(2(0(1(2(z0)))))))))), 0'(3(2(3(3(2(0(1(2(z0))))))))), 3'(2(3(3(2(0(1(2(z0)))))))), 2'(3(3(2(0(1(2(z0))))))), 3'(3(2(0(1(2(z0)))))), 3'(2(0(1(2(z0))))), 2'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> c38(1'(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0)))))))))))))))))), 0'(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))), 0'(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0)))))))))))))))), 3'(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))), 3'(2(3(0(3(0(1(1(3(3(1(2(0(3(z0)))))))))))))), 2'(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))), 3'(0(3(0(1(1(3(3(1(2(0(3(z0)))))))))))), 0'(3(0(1(1(3(3(1(2(0(3(z0))))))))))), 3'(0(1(1(3(3(1(2(0(3(z0)))))))))), 0'(1(1(3(3(1(2(0(3(z0))))))))), 1'(1(3(3(1(2(0(3(z0)))))))), 1'(3(3(1(2(0(3(z0))))))), 3'(3(1(2(0(3(z0)))))), 3'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> c39(1'(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0)))))))))))))))))), 0'(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))), 1'(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0)))))))))))))))), 0'(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))), 2'(0(1(1(1(3(3(0(1(2(0(1(0(1(z0)))))))))))))), 0'(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))), 1'(1(1(3(3(0(1(2(0(1(0(1(z0)))))))))))), 1'(1(3(3(0(1(2(0(1(0(1(z0))))))))))), 1'(3(3(0(1(2(0(1(0(1(z0)))))))))), 3'(3(0(1(2(0(1(0(1(z0))))))))), 3'(0(1(2(0(1(0(1(z0)))))))), 0'(1(2(0(1(0(1(z0))))))), 1'(2(0(1(0(1(z0)))))), 2'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> c40(2'(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0)))))))))))))))))), 2'(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))), 2'(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0)))))))))))))))), 2'(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))), 0'(1(2(3(0(1(2(1(3(1(3(1(1(0(z0)))))))))))))), 1'(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))), 2'(3(0(1(2(1(3(1(3(1(1(0(z0)))))))))))), 3'(0(1(2(1(3(1(3(1(1(0(z0))))))))))), 0'(1(2(1(3(1(3(1(1(0(z0)))))))))), 1'(2(1(3(1(3(1(1(0(z0))))))))), 2'(1(3(1(3(1(1(0(z0)))))))), 1'(3(1(3(1(1(0(z0))))))), 3'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c41(1'(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0)))))))))))))))))), 2'(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))), 1'(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0)))))))))))))))), 1'(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))), 1'(1(1(1(2(1(3(0(3(3(3(1(1(1(z0)))))))))))))), 1'(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))), 1'(1(2(1(3(0(3(3(3(1(1(1(z0)))))))))))), 1'(2(1(3(0(3(3(3(1(1(1(z0))))))))))), 2'(1(3(0(3(3(3(1(1(1(z0)))))))))), 1'(3(0(3(3(3(1(1(1(z0))))))))), 3'(0(3(3(3(1(1(1(z0)))))))), 0'(3(3(3(1(1(1(z0))))))), 3'(3(3(1(1(1(z0)))))), 3'(3(1(1(1(z0))))), 3'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> c42(2'(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0)))))))))))))))))), 3'(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))), 1'(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0)))))))))))))))), 1'(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))), 2'(0(1(2(0(3(2(0(1(3(1(1(3(3(z0)))))))))))))), 0'(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))), 1'(2(0(3(2(0(1(3(1(1(3(3(z0)))))))))))), 2'(0(3(2(0(1(3(1(1(3(3(z0))))))))))), 0'(3(2(0(1(3(1(1(3(3(z0)))))))))), 3'(2(0(1(3(1(1(3(3(z0))))))))), 2'(0(1(3(1(1(3(3(z0)))))))), 0'(1(3(1(1(3(3(z0))))))), 1'(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_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> c43(2'(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0)))))))))))))))))), 2'(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))), 0'(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0)))))))))))))))), 0'(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))), 1'(3(2(0(1(0(1(3(0(1(0(1(2(0(z0)))))))))))))), 3'(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))), 2'(0(1(0(1(3(0(1(0(1(2(0(z0)))))))))))), 0'(1(0(1(3(0(1(0(1(2(0(z0))))))))))), 1'(0(1(3(0(1(0(1(2(0(z0)))))))))), 0'(1(3(0(1(0(1(2(0(z0))))))))), 1'(3(0(1(0(1(2(0(z0)))))))), 3'(0(1(0(1(2(0(z0))))))), 0'(1(0(1(2(0(z0)))))), 1'(0(1(2(0(z0))))), 0'(1(2(0(z0)))), 1'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> c44(2'(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0)))))))))))))))))), 3'(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))), 2'(1(3(2(0(1(2(0(1(3(2(2(0(3(z0)))))))))))))), 1'(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))), 3'(2(0(1(2(0(1(3(2(2(0(3(z0)))))))))))), 2'(0(1(2(0(1(3(2(2(0(3(z0))))))))))), 0'(1(2(0(1(3(2(2(0(3(z0)))))))))), 1'(2(0(1(3(2(2(0(3(z0))))))))), 2'(0(1(3(2(2(0(3(z0)))))))), 0'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   1'(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c45(1'(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0)))))))))))))))))), 3'(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))), 2'(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0)))))))))))))))), 1'(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))), 0'(2(2(2(2(0(1(1(3(2(1(3(2(0(z0)))))))))))))), 2'(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))), 2'(2(2(0(1(1(3(2(1(3(2(0(z0)))))))))))), 2'(2(0(1(1(3(2(1(3(2(0(z0))))))))))), 2'(0(1(1(3(2(1(3(2(0(z0)))))))))), 0'(1(1(3(2(1(3(2(0(z0))))))))), 1'(1(3(2(1(3(2(0(z0)))))))), 1'(3(2(1(3(2(0(z0))))))), 3'(2(1(3(2(0(z0)))))), 2'(1(3(2(0(z0))))), 1'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> c46(1'(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0)))))))))))))))))), 1'(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))), 1'(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0)))))))))))))))), 2'(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))), 1'(2(0(3(2(2(0(2(2(2(0(2(1(1(z0)))))))))))))), 2'(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))), 0'(3(2(2(0(2(2(2(0(2(1(1(z0)))))))))))), 3'(2(2(0(2(2(2(0(2(1(1(z0))))))))))), 2'(2(0(2(2(2(0(2(1(1(z0)))))))))), 2'(0(2(2(2(0(2(1(1(z0))))))))), 0'(2(2(2(0(2(1(1(z0)))))))), 2'(2(2(0(2(1(1(z0))))))), 2'(2(0(2(1(1(z0)))))), 2'(0(2(1(1(z0))))), 0'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(z0) -> c47
   2'(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> c48(2'(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0)))))))))))))))))), 1'(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))), 1'(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0)))))))))))))))), 0'(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))), 0'(3(3(2(2(1(1(2(1(2(3(0(3(0(z0)))))))))))))), 3'(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))), 3'(2(2(1(1(2(1(2(3(0(3(0(z0)))))))))))), 2'(2(1(1(2(1(2(3(0(3(0(z0))))))))))), 2'(1(1(2(1(2(3(0(3(0(z0)))))))))), 1'(1(2(1(2(3(0(3(0(z0))))))))), 1'(2(1(2(3(0(3(0(z0)))))))), 2'(1(2(3(0(3(0(z0))))))), 1'(2(3(0(3(0(z0)))))), 2'(3(0(3(0(z0))))), 3'(0(3(0(z0)))), 0'(3(0(z0))), 3'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c49(2'(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0)))))))))))))))))), 0'(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))), 3'(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0)))))))))))))))), 1'(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))), 1'(1(2(0(3(1(0(0(1(1(0(0(1(0(z0)))))))))))))), 1'(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))), 2'(0(3(1(0(0(1(1(0(0(1(0(z0)))))))))))), 0'(3(1(0(0(1(1(0(0(1(0(z0))))))))))), 3'(1(0(0(1(1(0(0(1(0(z0)))))))))), 1'(0(0(1(1(0(0(1(0(z0))))))))), 0'(0(1(1(0(0(1(0(z0)))))))), 0'(1(1(0(0(1(0(z0))))))), 1'(1(0(0(1(0(z0)))))), 1'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> c50(2'(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0)))))))))))))))))), 2'(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))), 0'(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0)))))))))))))))), 3'(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))), 1'(3(2(3(2(2(3(3(0(1(2(0(3(2(z0)))))))))))))), 3'(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))), 2'(3(2(2(3(3(0(1(2(0(3(2(z0)))))))))))), 3'(2(2(3(3(0(1(2(0(3(2(z0))))))))))), 2'(2(3(3(0(1(2(0(3(2(z0)))))))))), 2'(3(3(0(1(2(0(3(2(z0))))))))), 3'(3(0(1(2(0(3(2(z0)))))))), 3'(0(1(2(0(3(2(z0))))))), 0'(1(2(0(3(2(z0)))))), 1'(2(0(3(2(z0))))), 2'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(z0) -> c67
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   3'(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> c72(3'(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0)))))))))))))))))), 1'(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))), 3'(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0)))))))))))))))), 1'(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))), 3'(3(1(3(3(2(0(3(3(3(0(3(2(0(z0)))))))))))))), 3'(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))), 1'(3(3(2(0(3(3(3(0(3(2(0(z0)))))))))))), 3'(3(2(0(3(3(3(0(3(2(0(z0))))))))))), 3'(2(0(3(3(3(0(3(2(0(z0)))))))))), 2'(0(3(3(3(0(3(2(0(z0))))))))), 0'(3(3(3(0(3(2(0(z0)))))))), 3'(3(3(0(3(2(0(z0))))))), 3'(3(0(3(2(0(z0)))))), 3'(0(3(2(0(z0))))), 0'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> c73(3'(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0)))))))))))))))))), 3'(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))), 2'(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0)))))))))))))))), 3'(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))), 0'(3(3(3(0(2(3(0(3(0(2(3(2(3(z0)))))))))))))), 3'(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))), 3'(3(0(2(3(0(3(0(2(3(2(3(z0)))))))))))), 3'(0(2(3(0(3(0(2(3(2(3(z0))))))))))), 0'(2(3(0(3(0(2(3(2(3(z0)))))))))), 2'(3(0(3(0(2(3(2(3(z0))))))))), 3'(0(3(0(2(3(2(3(z0)))))))), 0'(3(0(2(3(2(3(z0))))))), 3'(0(2(3(2(3(z0)))))), 0'(2(3(2(3(z0))))), 2'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> c74(3'(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0)))))))))))))))))), 3'(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))), 3'(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0)))))))))))))))), 0'(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))), 0'(1(2(3(1(0(1(3(1(1(2(2(2(2(z0)))))))))))))), 1'(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))), 2'(3(1(0(1(3(1(1(2(2(2(2(z0)))))))))))), 3'(1(0(1(3(1(1(2(2(2(2(z0))))))))))), 1'(0(1(3(1(1(2(2(2(2(z0)))))))))), 0'(1(3(1(1(2(2(2(2(z0))))))))), 1'(3(1(1(2(2(2(2(z0)))))))), 3'(1(1(2(2(2(2(z0))))))), 1'(1(2(2(2(2(z0)))))), 1'(2(2(2(2(z0))))), 2'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> c75(3'(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0)))))))))))))))))), 3'(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))), 3'(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0)))))))))))))))), 1'(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))), 0'(3(2(3(1(3(3(2(1(0(3(1(3(3(z0)))))))))))))), 3'(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))), 2'(3(1(3(3(2(1(0(3(1(3(3(z0)))))))))))), 3'(1(3(3(2(1(0(3(1(3(3(z0))))))))))), 1'(3(3(2(1(0(3(1(3(3(z0)))))))))), 3'(3(2(1(0(3(1(3(3(z0))))))))), 3'(2(1(0(3(1(3(3(z0)))))))), 2'(1(0(3(1(3(3(z0))))))), 1'(0(3(1(3(3(z0)))))), 0'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c76(3'(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0)))))))))))))))))), 0'(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))), 0'(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0)))))))))))))))), 3'(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))), 2'(0(2(2(0(0(1(1(2(3(1(0(0(3(z0)))))))))))))), 0'(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))), 2'(2(0(0(1(1(2(3(1(0(0(3(z0)))))))))))), 2'(0(0(1(1(2(3(1(0(0(3(z0))))))))))), 0'(0(1(1(2(3(1(0(0(3(z0)))))))))), 0'(1(1(2(3(1(0(0(3(z0))))))))), 1'(1(2(3(1(0(0(3(z0)))))))), 1'(2(3(1(0(0(3(z0))))))), 2'(3(1(0(0(3(z0)))))), 3'(1(0(0(3(z0))))), 1'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(3'(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))))), 2'(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))), 3'(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))), 1'(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))), 0'(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))), 3'(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))), 0'(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))), 2'(1(1(3(1(1(3(1(3(2(3(z0))))))))))), 1'(1(3(1(1(3(1(3(2(3(z0)))))))))), 1'(3(1(1(3(1(3(2(3(z0))))))))), 3'(1(1(3(1(3(2(3(z0)))))))), 1'(1(3(1(3(2(3(z0))))))), 1'(3(1(3(2(3(z0)))))), 3'(1(3(2(3(z0))))), 1'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
S tuples:
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   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> c20(0'(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))))), 0'(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))), 1'(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))), 3'(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))), 0'(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))), 0'(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))), 3'(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))), 3'(1(2(2(0(3(2(0(0(1(1(z0))))))))))), 1'(2(2(0(3(2(0(0(1(1(z0)))))))))), 2'(2(0(3(2(0(0(1(1(z0))))))))), 2'(0(3(2(0(0(1(1(z0)))))))), 0'(3(2(0(0(1(1(z0))))))), 3'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c79(3'(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))))), 0'(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))), 0'(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))), 2'(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))), 0'(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))), 1'(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))), 0'(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))), 2'(0(2(0(0(3(0(1(3(0(3(z0))))))))))), 0'(2(0(0(3(0(1(3(0(3(z0)))))))))), 2'(0(0(3(0(1(3(0(3(z0))))))))), 0'(0(3(0(1(3(0(3(z0)))))))), 0'(3(0(1(3(0(3(z0))))))), 3'(0(1(3(0(3(z0)))))), 0'(1(3(0(3(z0))))), 1'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(3'(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))))), 2'(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))), 3'(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))), 1'(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))), 0'(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))), 3'(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))), 0'(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))), 2'(1(1(3(1(1(3(1(3(2(3(z0))))))))))), 1'(1(3(1(1(3(1(3(2(3(z0)))))))))), 1'(3(1(1(3(1(3(2(3(z0))))))))), 3'(1(1(3(1(3(2(3(z0)))))))), 1'(1(3(1(3(2(3(z0))))))), 1'(3(1(3(2(3(z0)))))), 3'(1(3(2(3(z0))))), 1'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c67, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   2'(z0) -> c47
   3'(z0) -> c67
   1'(z0) -> c24
   0'(z0) -> c8

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c6(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
S tuples:
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   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
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   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c79(3'(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))))), 0'(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))), 0'(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))), 2'(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))), 0'(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))), 1'(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))), 0'(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))), 2'(0(2(0(0(3(0(1(3(0(3(z0))))))))))), 0'(2(0(0(3(0(1(3(0(3(z0)))))))))), 2'(0(0(3(0(1(3(0(3(z0))))))))), 0'(0(3(0(1(3(0(3(z0)))))))), 0'(3(0(1(3(0(3(z0))))))), 3'(0(1(3(0(3(z0)))))), 0'(1(3(0(3(z0))))), 1'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(3'(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))))), 2'(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))), 3'(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))), 1'(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))), 0'(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))), 3'(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))), 0'(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))), 2'(1(1(3(1(1(3(1(3(2(3(z0))))))))))), 1'(1(3(1(1(3(1(3(2(3(z0)))))))))), 1'(3(1(1(3(1(3(2(3(z0))))))))), 3'(1(1(3(1(3(2(3(z0)))))))), 1'(1(3(1(3(2(3(z0))))))), 1'(3(1(3(2(3(z0)))))), 3'(1(3(2(3(z0))))), 1'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_2(z0) -> c8(ENCARG(z0))
S tuples:
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   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c79(3'(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))))), 0'(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))), 0'(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))), 2'(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))), 0'(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))), 1'(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))), 0'(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))), 2'(0(2(0(0(3(0(1(3(0(3(z0))))))))))), 0'(2(0(0(3(0(1(3(0(3(z0)))))))))), 2'(0(0(3(0(1(3(0(3(z0))))))))), 0'(0(3(0(1(3(0(3(z0)))))))), 0'(3(0(1(3(0(3(z0))))))), 3'(0(1(3(0(3(z0)))))), 0'(1(3(0(3(z0))))), 1'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 4 leading nodes:
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 3_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
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   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c79(3'(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))))), 0'(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))), 0'(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))), 2'(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))), 0'(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))), 1'(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))), 0'(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))), 2'(0(2(0(0(3(0(1(3(0(3(z0))))))))))), 0'(2(0(0(3(0(1(3(0(3(z0)))))))))), 2'(0(0(3(0(1(3(0(3(z0))))))))), 0'(0(3(0(1(3(0(3(z0)))))))), 0'(3(0(1(3(0(3(z0))))))), 3'(0(1(3(0(3(z0)))))), 0'(1(3(0(3(z0))))), 1'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(3'(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))))), 2'(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))), 3'(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))), 1'(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))), 0'(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))), 3'(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))), 0'(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))), 2'(1(1(3(1(1(3(1(3(2(3(z0))))))))))), 1'(1(3(1(1(3(1(3(2(3(z0)))))))))), 1'(3(1(1(3(1(3(2(3(z0))))))))), 3'(1(1(3(1(3(2(3(z0)))))))), 1'(1(3(1(3(2(3(z0))))))), 1'(3(1(3(2(3(z0)))))), 3'(1(3(2(3(z0))))), 1'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
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   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
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   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c21(2'(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))))))))), 0'(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))), 1'(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))))))), 2'(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))), 2'(0(0(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))))), 0'(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))), 0'(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))), 2'(2(3(0(1(1(0(1(2(0(3(z0))))))))))), 2'(3(0(1(1(0(1(2(0(3(z0)))))))))), 3'(0(1(1(0(1(2(0(3(z0))))))))), 0'(1(1(0(1(2(0(3(z0)))))))), 1'(1(0(1(2(0(3(z0))))))), 1'(0(1(2(0(3(z0)))))), 0'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> c79(3'(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))))), 0'(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))), 0'(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))))), 2'(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))), 0'(1(0(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))))), 1'(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))), 0'(2(0(2(0(0(3(0(1(3(0(3(z0)))))))))))), 2'(0(2(0(0(3(0(1(3(0(3(z0))))))))))), 0'(2(0(0(3(0(1(3(0(3(z0)))))))))), 2'(0(0(3(0(1(3(0(3(z0))))))))), 0'(0(3(0(1(3(0(3(z0)))))))), 0'(3(0(1(3(0(3(z0))))))), 3'(0(1(3(0(3(z0)))))), 0'(1(3(0(3(z0))))), 1'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> c80(3'(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))))), 2'(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))), 3'(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))))), 1'(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))), 0'(3(0(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))))), 3'(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))), 0'(2(1(1(3(1(1(3(1(3(2(3(z0)))))))))))), 2'(1(1(3(1(1(3(1(3(2(3(z0))))))))))), 1'(1(3(1(1(3(1(3(2(3(z0)))))))))), 1'(3(1(1(3(1(3(2(3(z0))))))))), 3'(1(1(3(1(3(2(3(z0)))))))), 1'(1(3(1(3(2(3(z0))))))), 1'(3(1(3(2(3(z0)))))), 3'(1(3(2(3(z0))))), 1'(3(2(3(z0)))), 3'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
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   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   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, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2


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(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)))

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(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_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
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   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2


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

(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_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> c20(0'(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))))), 0'(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))), 1'(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))), 3'(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))), 0'(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))), 0'(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))), 3'(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))), 3'(1(2(2(0(3(2(0(0(1(1(z0))))))))))), 1'(2(2(0(3(2(0(0(1(1(z0)))))))))), 2'(2(0(3(2(0(0(1(1(z0))))))))), 2'(0(3(2(0(0(1(1(z0)))))))), 0'(3(2(0(0(1(1(z0))))))), 3'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2, c3_2


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(z0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(z0))))))))))), 0'(3(2(0(2(2(1(3(1(1(z0)))))))))), 3'(2(0(2(2(1(3(1(1(z0))))))))), 2'(0(2(2(1(3(1(1(z0)))))))), 0'(2(2(1(3(1(1(z0))))))), 2'(2(1(3(1(1(z0)))))), 2'(1(3(1(1(z0))))), 1'(3(1(1(z0)))), 3'(1(1(z0))), 1'(1(z0)), 1'(z0)) by 
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(c_2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(c_0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(c_1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(c_1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(c_1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(1(c_1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(c_2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
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   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 0'(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 3'(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 2'(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))), 0'(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))), 2'(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))), 2'(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))), 1'(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))), 3'(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))), 1'(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))), 1'(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))), 0'(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))), 3'(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))), 2'(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))), 0'(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))), 2'(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))), 2'(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))), 1'(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))), 3'(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))), 1'(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))), 1'(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(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_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(c_2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(c_0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(c_1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(c_1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(c_1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(1(c_1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(c_2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(c_0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
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   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 0'(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 3'(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 2'(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))), 0'(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))), 2'(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))), 2'(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))), 1'(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))), 3'(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))), 1'(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))), 1'(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))), 0'(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))), 3'(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))), 2'(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))), 0'(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))), 2'(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))), 2'(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))), 1'(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))), 3'(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))), 1'(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))), 1'(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))
S tuples:
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   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> c20(0'(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))))), 0'(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))), 1'(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))), 3'(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))), 0'(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))), 0'(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))), 3'(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))), 3'(1(2(2(0(3(2(0(0(1(1(z0))))))))))), 1'(2(2(0(3(2(0(0(1(1(z0)))))))))), 2'(2(0(3(2(0(0(1(1(z0))))))))), 2'(0(3(2(0(0(1(1(z0)))))))), 0'(3(2(0(0(1(1(z0))))))), 3'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0))))))))))))))))))))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0))))))))))))))))))))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))))))))))), 0'(3(2(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0))))))))))))))))))))))))))), 3'(2(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))))))))), 2'(0(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0))))))))))))))))))))))))), 0'(2(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))))))), 2'(2(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0))))))))))))))))))))))), 2'(1(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))))), 1'(3(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0))))))))))))))))))))), 3'(1(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))), 1'(1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0))))))))))))))))))), 1'(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))))), 0'(3(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))))), 3'(2(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))))), 2'(0(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))))), 0'(2(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))))), 2'(2(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))))), 2'(1(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))))), 1'(3(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))))), 3'(1(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))), 1'(1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0))))))))))))))))))), 1'(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))), 0'(3(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))))), 3'(2(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))), 2'(0(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))))), 0'(2(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))), 2'(2(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))), 2'(1(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))), 1'(3(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))))), 3'(1(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))), 1'(1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0))))))))))))))))))), 1'(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2, c3_2, c9_18


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(z0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(z0))))))))))), 0'(1(2(1(1(1(0(3(0(3(z0)))))))))), 1'(2(1(1(1(0(3(0(3(z0))))))))), 2'(1(1(1(0(3(0(3(z0)))))))), 1'(1(1(0(3(0(3(z0))))))), 1'(1(0(3(0(3(z0)))))), 1'(0(3(0(3(z0))))), 0'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0)) by 
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(c_0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(c_2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(c_0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(c_1(2(1(1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(c_2(1(1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(c_1(1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(c_1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(c_1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0))))))))))))))))))))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0))))))))))))))))))))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0))))))))))))))))))))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))))))))))))), 0'(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0))))))))))))))))))))))))))), 1'(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))))))))))), 2'(1(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0))))))))))))))))))))))))), 1'(1(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))))))))), 1'(1(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0))))))))))))))))))))))), 1'(0(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))))))), 0'(3(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0))))))))))))))))))))), 3'(0(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))))), 0'(3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0))))))))))))))))))), 3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0))))))))))))))))))))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))))))))))))), 0'(1(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0))))))))))))))))))))))))))), 1'(2(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))))))))))), 2'(1(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0))))))))))))))))))))))))), 1'(1(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))))))))), 1'(1(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0))))))))))))))))))))))), 1'(0(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))))))), 0'(3(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0))))))))))))))))))))), 3'(0(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))))), 0'(3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0))))))))))))))))))), 3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 1'(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 2'(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 1'(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 1'(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 0'(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 3'(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 0'(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(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_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(z0)))))))))))))))))) -> 0(2(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(z0))))))))))))))))))
   0(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> 0(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 0(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))))
   0(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> 0(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))))
   0(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 0(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 0(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 0(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))))
   0(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 0(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> 2(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 0(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_3(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(1(1(0(1(1(2(0(0(2(0(3(1(1(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_3(c_3(c_1(c_2(c_1(c_3(c_3(c_2(c_2(c_2(z0)))))))))))))))))) -> 1(1(1(1(1(3(2(3(3(3(2(1(1(1(3(1(2(2(z0))))))))))))))))))
   1(c_0(c_2(c_1(c_2(c_3(c_3(c_1(c_2(c_0(c_2(c_1(c_3(c_1(c_1(c_2(c_2(c_1(z0)))))))))))))))))) -> 1(1(3(2(1(0(1(1(1(2(3(2(2(1(2(3(2(0(z0))))))))))))))))))
   1(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_3(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(3(1(1(3(2(3(0(1(1(3(3(3(0(3(1(1(3(z0))))))))))))))))))
   1(c_3(c_1(c_0(c_1(c_3(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_3(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(3(3(1(3(1(2(3(3(1(3(1(1(3(0(1(z0))))))))))))))))))
   1(c_2(c_3(c_1(c_1(c_0(c_2(c_2(c_3(c_3(c_0(c_2(c_1(c_2(c_1(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(1(2(3(0(3(3(2(1(2(0(3(2(0(1(1(1(3(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_1(c_2(c_3(c_1(c_2(c_1(c_1(c_3(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 1(3(0(2(1(1(1(3(3(1(3(1(3(2(3(1(2(1(z0))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_3(c_2(c_1(c_0(c_1(c_2(c_0(c_3(c_1(c_0(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(2(1(0(0(3(1(3(2(0(3(0(1(0(1(1(1(z0))))))))))))))))))
   1(c_3(c_3(c_0(c_3(c_3(c_0(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_3(c_3(c_3(z0)))))))))))))))))) -> 1(3(1(3(2(1(0(0(3(0(3(3(0(1(3(2(1(3(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(0(3(1(2(2(1(0(1(2(2(0(1(0(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_2(c_2(c_3(c_2(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(2(1(2(0(3(2(1(1(0(1(3(0(3(2(0(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_0(c_3(c_3(c_3(c_1(c_2(c_1(c_2(c_3(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(0(3(1(2(1(1(1(0(2(2(3(z0))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_3(c_2(c_3(c_2(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(0(1(1(3(0(0(3(2(3(3(2(0(1(2(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_1(c_1(c_0(c_3(c_2(c_3(c_0(c_3(z0)))))))))))))))))) -> 1(0(0(3(3(2(3(0(3(0(1(1(3(3(1(2(0(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_3(c_1(c_0(c_1(c_3(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))) -> 1(0(1(0(2(0(1(1(1(3(3(0(1(2(0(1(0(1(z0))))))))))))))))))
   1(c_1(c_2(c_1(c_0(c_2(c_3(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_3(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(2(2(0(1(2(3(0(1(2(1(3(1(3(1(1(0(z0))))))))))))))))))
   1(c_1(c_3(c_3(c_3(c_2(c_1(c_1(c_1(c_3(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(2(1(1(1(1(1(1(2(1(3(0(3(3(3(1(1(1(z0))))))))))))))))))
   1(c_1(c_1(c_3(c_3(c_3(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_3(c_3(z0)))))))))))))))))) -> 2(3(1(1(2(0(1(2(0(3(2(0(1(3(1(1(3(3(z0))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_3(c_2(c_3(c_2(c_1(z0)))))))))))))))))) -> 2(2(0(0(1(3(2(0(1(0(1(3(0(1(0(1(2(0(z0))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_3(c_2(c_3(c_1(c_0(c_3(c_2(c_1(c_1(c_0(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(3(0(1(2(1(3(2(0(1(2(0(1(3(2(2(0(3(z0))))))))))))))))))
   1(c_3(c_2(c_1(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_2(c_1(c_1(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(3(2(1(0(2(2(2(2(0(1(1(3(2(1(3(2(0(z0))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_2(c_2(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(2(0(3(2(2(0(2(2(2(0(2(1(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_3(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(1(1(0(0(3(3(2(2(1(1(2(1(2(3(0(3(0(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_0(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 2(0(3(1(1(1(2(0(3(1(0(0(1(1(0(0(1(0(z0))))))))))))))))))
   2(c_3(c_2(c_3(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_3(c_3(c_1(c_3(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(0(3(1(3(2(3(2(2(3(3(0(1(2(0(3(2(z0))))))))))))))))))
   2(c_2(c_3(c_1(c_3(c_3(c_2(c_2(c_2(c_3(c_2(c_1(c_2(c_3(c_0(c_2(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(1(2(3(2(3(2(3(0(3(2(2(3(0(2(2(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_3(c_1(c_0(c_2(c_0(c_1(c_3(c_1(c_1(c_1(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 2(0(3(0(3(0(1(2(1(1(1(1(1(1(1(3(1(3(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(3(0(1(2(2(1(2(0(3(2(1(1(0(1(z0))))))))))))))))))
   2(c_0(c_0(c_1(c_2(c_3(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(3(2(0(0(0(0(1(0(2(z0))))))))))))))))))
   2(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_3(c_0(c_1(c_1(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 2(2(1(2(1(0(2(2(0(3(2(0(0(1(0(3(1(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_3(c_3(c_0(c_3(c_2(c_2(c_0(c_3(c_3(z0)))))))))))))))))) -> 2(2(2(2(1(2(0(3(0(0(0(3(3(0(0(3(0(3(z0))))))))))))))))))
   2(c_2(c_3(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_2(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(0(3(0(3(2(2(0(1(2(3(z0))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 2(0(1(0(2(2(0(3(0(0(1(2(2(1(2(2(1(2(z0))))))))))))))))))
   2(c_1(c_1(c_2(c_2(c_3(c_0(c_2(c_3(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_3(z0)))))))))))))))))) -> 2(2(2(2(2(0(1(1(3(2(0(2(1(0(3(0(1(3(z0))))))))))))))))))
   2(c_3(c_3(c_0(c_0(c_3(c_2(c_2(c_3(c_0(c_1(c_3(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 2(2(0(2(0(3(3(1(3(3(3(0(3(0(3(2(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_3(c_2(c_3(c_1(c_2(c_0(c_2(c_2(c_2(c_1(z0)))))))))))))))))) -> 2(2(3(2(2(2(0(1(2(2(2(2(0(3(1(2(2(1(z0))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_3(c_3(c_3(c_2(c_1(c_1(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(3(0(3(1(0(1(2(2(0(3(0(1(0(z0))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_3(c_3(c_3(c_1(c_0(c_0(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(3(0(0(1(2(3(3(1(1(3(0(1(1(1(2(2(3(z0))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_2(c_0(c_3(c_1(c_3(c_3(c_3(c_3(c_3(c_3(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(3(2(0(1(3(3(1(3(1(0(1(1(1(3(3(2(3(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_1(c_2(c_3(c_1(c_1(c_2(c_3(c_1(c_2(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(1(1(1(3(2(3(3(2(2(3(2(1(3(2(2(z0))))))))))))))))))
   2(c_3(c_1(c_2(c_3(c_0(c_1(c_2(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(3(2(1(1(3(0(3(0(2(1(3(0(0(3(1(3(0(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_3(c_3(c_1(c_0(c_1(c_3(c_2(c_0(c_3(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(1(3(3(0(2(1(3(0(0(1(0(1(1(2(1(3(0(z0))))))))))))))))))
   3(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_3(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(1(1(2(2(3(1(0(0(0(1(1(2(3(0(1(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_3(c_0(c_1(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(2(0(3(1(0(3(0(3(0(2(2(0(1(2(1(0(3(z0))))))))))))))))))
   3(c_1(c_1(c_2(c_3(c_3(c_0(c_3(c_0(c_0(c_2(c_2(c_1(c_3(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(3(2(1(3(1(1(0(1(2(0(2(3(1(3(0(2(z0))))))))))))))))))
   3(c_0(c_1(c_3(c_0(c_3(c_3(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_3(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(1(3(1(3(3(1(3(3(2(0(3(3(3(0(3(2(0(z0))))))))))))))))))
   3(c_3(c_0(c_3(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_3(c_3(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(3(0(3(3(3(0(2(3(0(3(0(2(3(2(3(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_3(c_1(c_0(c_0(c_0(c_3(c_2(c_1(c_2(c_1(c_2(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(0(1(2(3(1(0(1(3(1(1(2(2(2(2(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_3(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_1(c_3(c_1(c_3(c_3(z0)))))))))))))))))) -> 3(3(3(1(0(3(2(3(1(3(3(2(1(0(3(1(3(3(z0))))))))))))))))))
   3(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_3(c_0(c_0(c_0(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(3(2(0(2(2(0(0(1(1(2(3(1(0(0(3(z0))))))))))))))))))
   3(c_2(c_2(c_3(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(1(2(1(2(1(1(2(2(1(2(2(2(3(1(2(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_1(c_2(c_3(c_3(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_1(z0)))))))))))))))))) -> 3(0(3(0(2(1(2(0(3(3(2(0(2(2(3(1(1(1(z0))))))))))))))))))
   3(c_0(c_0(c_3(c_1(c_0(c_2(c_0(c_3(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_3(z0)))))))))))))))))) -> 3(0(0(2(0(1(0(2(0(2(0(0(3(0(1(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_2(c_3(c_3(c_1(c_1(c_3(c_1(c_1(c_0(c_2(z0)))))))))))))))))) -> 3(2(3(1(0(3(0(2(1(1(3(1(1(3(1(3(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))))
   3(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 3(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> 3(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))))
   3(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> 3(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))))
   3(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 3(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))))
   3(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> 3(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> 3(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))))
   3(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> 3(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))))
   3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> 3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))
Tuples:
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_3(c_3(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> c14(0'(3(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))))), 3'(0(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))))), 0'(3(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))))), 3'(1(1(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))))), 1'(1(1(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))))), 1'(1(1(2(2(3(0(0(1(3(1(1(0(z0))))))))))))), 1'(1(2(2(3(0(0(1(3(1(1(0(z0)))))))))))), 1'(2(2(3(0(0(1(3(1(1(0(z0))))))))))), 2'(2(3(0(0(1(3(1(1(0(z0)))))))))), 2'(3(0(0(1(3(1(1(0(z0))))))))), 3'(0(0(1(3(1(1(0(z0)))))))), 0'(0(1(3(1(1(0(z0))))))), 0'(1(3(1(1(0(z0)))))), 1'(3(1(1(0(z0))))), 3'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_3(c_3(c_2(c_2(c_3(c_2(c_2(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_3(c_3(c_2(z0)))))))))))))))))) -> c15(0'(3(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))))), 3'(2(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))))), 2'(3(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))))), 3'(2(0(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))))), 2'(0(3(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))))), 0'(3(0(2(2(3(1(1(2(3(2(3(2(z0))))))))))))), 3'(0(2(2(3(1(1(2(3(2(3(2(z0)))))))))))), 0'(2(2(3(1(1(2(3(2(3(2(z0))))))))))), 2'(2(3(1(1(2(3(2(3(2(z0)))))))))), 2'(3(1(1(2(3(2(3(2(z0))))))))), 3'(1(1(2(3(2(3(2(z0)))))))), 1'(1(2(3(2(3(2(z0))))))), 1'(2(3(2(3(2(z0)))))), 2'(3(2(3(2(z0))))), 3'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_0(c_3(c_3(c_3(c_3(c_1(c_0(c_1(c_0(c_2(c_3(c_1(c_0(c_2(c_0(c_2(c_1(z0)))))))))))))))))) -> c16(1'(0(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))))), 0'(0(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))))), 0'(3(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))))), 3'(1(0(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))))), 1'(0(2(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))))), 0'(2(3(0(0(1(3(1(3(2(3(2(0(z0))))))))))))), 2'(3(0(0(1(3(1(3(2(3(2(0(z0)))))))))))), 3'(0(0(1(3(1(3(2(3(2(0(z0))))))))))), 0'(0(1(3(1(3(2(3(2(0(z0)))))))))), 0'(1(3(1(3(2(3(2(0(z0))))))))), 1'(3(1(3(2(3(2(0(z0)))))))), 3'(1(3(2(3(2(0(z0))))))), 1'(3(2(3(2(0(z0)))))), 3'(2(3(2(0(z0))))), 2'(3(2(0(z0)))), 3'(2(0(z0))), 2'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_0(c_3(c_0(c_2(c_2(c_3(c_3(c_2(c_2(c_2(c_3(c_0(c_2(c_3(z0)))))))))))))))))) -> c17(0'(3(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))))), 3'(2(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))))), 2'(0(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))))), 0'(2(2(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))))), 2'(2(2(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))))), 2'(2(0(0(0(2(3(2(3(2(3(0(3(z0))))))))))))), 2'(0(0(0(2(3(2(3(2(3(0(3(z0)))))))))))), 0'(0(0(2(3(2(3(2(3(0(3(z0))))))))))), 0'(0(2(3(2(3(2(3(0(3(z0)))))))))), 0'(2(3(2(3(2(3(0(3(z0))))))))), 2'(3(2(3(2(3(0(3(z0)))))))), 3'(2(3(2(3(0(3(z0))))))), 2'(3(2(3(0(3(z0)))))), 3'(2(3(0(3(z0))))), 2'(3(0(3(z0)))), 3'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_2(c_3(c_0(c_3(c_3(c_2(c_2(c_0(c_3(c_3(c_2(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c18(0'(2(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))))), 2'(0(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))))), 3'(0(3(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))))), 0'(3(2(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))))), 3'(2(3(0(3(2(3(2(2(0(1(3(3(z0))))))))))))), 2'(3(0(3(2(3(2(2(0(1(3(3(z0)))))))))))), 3'(0(3(2(3(2(2(0(1(3(3(z0))))))))))), 0'(3(2(3(2(2(0(1(3(3(z0)))))))))), 3'(2(3(2(2(0(1(3(3(z0))))))))), 2'(3(2(2(0(1(3(3(z0)))))))), 3'(2(2(0(1(3(3(z0))))))), 2'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_1(c_1(c_2(c_3(c_0(c_0(c_2(c_3(c_3(c_0(c_0(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c19(0'(1(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))))), 1'(3(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))))), 3'(2(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))))), 2'(0(3(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))))), 0'(3(1(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))))), 3'(1(2(1(1(0(3(2(0(0(2(0(0(z0))))))))))))), 1'(2(1(1(0(3(2(0(0(2(0(0(z0)))))))))))), 2'(1(1(0(3(2(0(0(2(0(0(z0))))))))))), 1'(1(0(3(2(0(0(2(0(0(z0)))))))))), 1'(0(3(2(0(0(2(0(0(z0))))))))), 0'(3(2(0(0(2(0(0(z0)))))))), 3'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_3(c_1(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_2(c_2(z0)))))))))))))))))) -> c20(0'(0(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))))), 0'(1(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))))), 1'(3(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))))), 3'(0(0(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))))), 0'(0(3(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))))), 0'(3(3(1(2(2(0(3(2(0(0(1(1(z0))))))))))))), 3'(3(1(2(2(0(3(2(0(0(1(1(z0)))))))))))), 3'(1(2(2(0(3(2(0(0(1(1(z0))))))))))), 1'(2(2(0(3(2(0(0(1(1(z0)))))))))), 2'(2(0(3(2(0(0(1(1(z0))))))))), 2'(0(3(2(0(0(1(1(z0)))))))), 0'(3(2(0(0(1(1(z0))))))), 3'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_3(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_3(z0)))))))))))))))))) -> c21(2'(0(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))))))))), 0'(1(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))))), 1'(2(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))))))), 2'(2(0(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))))), 2'(0(0(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))))), 0'(0(2(2(3(0(1(1(0(1(2(0(3(z0))))))))))))), 0'(2(2(3(0(1(1(0(1(2(0(3(z0)))))))))))), 2'(2(3(0(1(1(0(1(2(0(3(z0))))))))))), 2'(3(0(1(1(0(1(2(0(3(z0)))))))))), 3'(0(1(1(0(1(2(0(3(z0))))))))), 0'(1(1(0(1(2(0(3(z0)))))))), 1'(1(0(1(2(0(3(z0))))))), 1'(0(1(2(0(3(z0)))))), 0'(1(2(0(3(z0))))), 1'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_2(c_0(c_2(c_0(c_3(c_3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c22(2'(0(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0)))))))))))))))))), 0'(3(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))))), 3'(2(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0)))))))))))))))), 2'(1(3(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))))), 1'(3(3(2(2(2(1(0(3(2(2(0(3(3(z0)))))))))))))), 3'(3(2(2(2(1(0(3(2(2(0(3(3(z0))))))))))))), 3'(2(2(2(1(0(3(2(2(0(3(3(z0)))))))))))), 2'(2(2(1(0(3(2(2(0(3(3(z0))))))))))), 2'(2(1(0(3(2(2(0(3(3(z0)))))))))), 2'(1(0(3(2(2(0(3(3(z0))))))))), 1'(0(3(2(2(0(3(3(z0)))))))), 0'(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))
   0'(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> c23(0'(1(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0)))))))))))))))))), 1'(1(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))))), 1'(2(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0)))))))))))))))), 2'(2(1(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))))), 2'(1(1(1(1(2(2(2(0(2(0(2(2(1(z0)))))))))))))), 1'(1(1(1(2(2(2(0(2(0(2(2(1(z0))))))))))))), 1'(1(1(2(2(2(0(2(0(2(2(1(z0)))))))))))), 1'(1(2(2(2(0(2(0(2(2(1(z0))))))))))), 1'(2(2(2(0(2(0(2(2(1(z0)))))))))), 2'(2(2(0(2(0(2(2(1(z0))))))))), 2'(2(0(2(0(2(2(1(z0)))))))), 2'(0(2(0(2(2(1(z0))))))), 0'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   3'(c_1(c_0(c_3(c_3(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_3(c_3(c_3(c_3(c_2(c_3(z0)))))))))))))))))) -> c81(3'(3(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))))), 3'(2(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))))), 2'(3(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))))), 3'(3(2(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))))), 3'(2(0(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))))), 2'(0(1(3(0(0(1(1(2(3(2(3(3(z0))))))))))))), 0'(1(3(0(0(1(1(2(3(2(3(3(z0)))))))))))), 1'(3(0(0(1(1(2(3(2(3(3(z0))))))))))), 3'(0(0(1(1(2(3(2(3(3(z0)))))))))), 0'(0(1(1(2(3(2(3(3(z0))))))))), 0'(1(1(2(3(2(3(3(z0)))))))), 1'(1(2(3(2(3(3(z0))))))), 1'(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))
   3'(c_3(c_0(c_0(c_0(c_3(c_2(c_3(c_2(c_3(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c82(3'(3(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))))), 3'(0(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))))), 0'(1(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))))), 1'(3(3(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))))), 3'(3(0(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))))), 3'(0(2(0(3(0(1(0(3(2(2(0(1(z0))))))))))))), 0'(2(0(3(0(1(0(3(2(2(0(1(z0)))))))))))), 2'(0(3(0(1(0(3(2(2(0(1(z0))))))))))), 0'(3(0(1(0(3(2(2(0(1(z0)))))))))), 3'(0(1(0(3(2(2(0(1(z0))))))))), 0'(1(0(3(2(2(0(1(z0)))))))), 1'(0(3(2(2(0(1(z0))))))), 0'(3(2(2(0(1(z0)))))), 3'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_1(c_0(c_2(c_1(c_2(c_3(c_3(c_2(c_0(c_0(c_0(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c83(3'(2(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))))), 2'(0(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))))), 0'(1(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))))), 1'(0(1(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))))), 0'(1(0(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))))), 1'(0(3(0(3(2(1(2(0(3(3(3(3(z0))))))))))))), 0'(3(0(3(2(1(2(0(3(3(3(3(z0)))))))))))), 3'(0(3(2(1(2(0(3(3(3(3(z0))))))))))), 0'(3(2(1(2(0(3(3(3(3(z0)))))))))), 3'(2(1(2(0(3(3(3(3(z0))))))))), 2'(1(2(0(3(3(3(3(z0)))))))), 1'(2(0(3(3(3(3(z0))))))), 2'(0(3(3(3(3(z0)))))), 0'(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_3(c_3(c_1(c_1(c_3(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_3(c_0(z0)))))))))))))))))) -> c84(3'(0(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))))), 0'(1(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))))), 1'(0(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))))), 0'(2(0(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))))), 2'(0(3(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))))), 0'(3(0(3(3(2(0(0(1(3(0(1(1(z0))))))))))))), 3'(0(3(3(2(0(0(1(3(0(1(1(z0)))))))))))), 0'(3(3(2(0(0(1(3(0(1(1(z0))))))))))), 3'(3(2(0(0(1(3(0(1(1(z0)))))))))), 3'(2(0(0(1(3(0(1(1(z0))))))))), 2'(0(0(1(3(0(1(1(z0)))))))), 0'(0(1(3(0(1(1(z0))))))), 0'(1(3(0(1(1(z0)))))), 1'(3(0(1(1(z0))))), 3'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_0(c_0(c_2(c_1(c_3(c_3(c_2(c_2(c_3(c_0(c_3(c_0(c_3(c_2(c_3(c_2(z0)))))))))))))))))) -> c85(3'(0(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))))), 0'(3(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))))), 3'(2(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))))), 2'(1(2(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))))), 1'(2(3(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))))), 2'(3(2(0(3(0(3(2(3(0(3(2(2(z0))))))))))))), 3'(2(0(3(0(3(2(3(0(3(2(2(z0)))))))))))), 2'(0(3(0(3(2(3(0(3(2(2(z0))))))))))), 0'(3(0(3(2(3(0(3(2(2(z0)))))))))), 3'(0(3(2(3(0(3(2(2(z0))))))))), 0'(3(2(3(0(3(2(2(z0)))))))), 3'(2(3(0(3(2(2(z0))))))), 2'(3(0(3(2(2(z0)))))), 3'(0(3(2(2(z0))))), 0'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_0(c_0(c_0(c_0(c_1(c_3(c_3(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_3(c_3(c_3(z0)))))))))))))))))) -> c86(3'(0(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))))), 0'(3(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))))), 3'(3(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))))), 3'(0(0(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))))), 0'(0(0(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))))), 0'(0(0(3(1(2(3(0(1(0(0(0(3(z0))))))))))))), 0'(0(3(1(2(3(0(1(0(0(0(3(z0)))))))))))), 0'(3(1(2(3(0(1(0(0(0(3(z0))))))))))), 3'(1(2(3(0(1(0(0(0(3(z0)))))))))), 1'(2(3(0(1(0(0(0(3(z0))))))))), 2'(3(0(1(0(0(0(3(z0)))))))), 3'(0(1(0(0(0(3(z0))))))), 0'(1(0(0(0(3(z0)))))), 1'(0(0(0(3(z0))))), 0'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   3'(c_3(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_3(c_3(c_3(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c87(3'(3(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))))), 3'(3(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))))), 3'(0(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))))), 0'(2(1(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))))), 2'(1(2(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))))), 1'(2(1(3(2(0(2(0(2(3(2(2(3(z0))))))))))))), 2'(1(3(2(0(2(0(2(3(2(2(3(z0)))))))))))), 1'(3(2(0(2(0(2(3(2(2(3(z0))))))))))), 3'(2(0(2(0(2(3(2(2(3(z0)))))))))), 2'(0(2(0(2(3(2(2(3(z0))))))))), 0'(2(0(2(3(2(2(3(z0)))))))), 2'(0(2(3(2(2(3(z0))))))), 0'(2(3(2(2(3(z0)))))), 2'(3(2(2(3(z0))))), 3'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_0(c_0(c_1(c_1(c_3(c_3(c_1(c_1(c_2(c_1(c_3(c_2(c_2(c_2(c_2(c_2(z0)))))))))))))))))) -> c88(3'(2(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))))), 2'(1(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))))), 1'(0(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))))), 0'(3(0(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))))), 3'(0(1(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))))), 0'(1(2(2(1(1(1(1(3(2(3(2(2(z0))))))))))))), 1'(2(2(1(1(1(1(3(2(3(2(2(z0)))))))))))), 2'(2(1(1(1(1(3(2(3(2(2(z0))))))))))), 2'(1(1(1(1(3(2(3(2(2(z0)))))))))), 1'(1(1(1(3(2(3(2(2(z0))))))))), 1'(1(1(3(2(3(2(2(z0)))))))), 1'(1(3(2(3(2(2(z0))))))), 1'(3(2(3(2(2(z0)))))), 3'(2(3(2(2(z0))))), 2'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   3'(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_3(c_2(c_3(c_2(c_0(z0)))))))))))))))))) -> c89(3'(2(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))))), 2'(1(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))))), 1'(0(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))))), 0'(2(2(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))))), 2'(2(2(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))))), 2'(2(0(1(0(3(2(1(3(2(0(1(0(z0))))))))))))), 2'(0(1(0(3(2(1(3(2(0(1(0(z0)))))))))))), 0'(1(0(3(2(1(3(2(0(1(0(z0))))))))))), 1'(0(3(2(1(3(2(0(1(0(z0)))))))))), 0'(3(2(1(3(2(0(1(0(z0))))))))), 3'(2(1(3(2(0(1(0(z0)))))))), 2'(1(3(2(0(1(0(z0))))))), 1'(3(2(0(1(0(z0)))))), 3'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   3'(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_1(c_2(z0)))))))))))))))))) -> c90(3'(2(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))))), 2'(0(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))))), 0'(3(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))))), 3'(2(0(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))))), 2'(0(1(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))))), 0'(1(0(1(2(1(1(3(0(2(1(1(1(z0))))))))))))), 1'(0(1(2(1(1(3(0(2(1(1(1(z0)))))))))))), 0'(1(2(1(1(3(0(2(1(1(1(z0))))))))))), 1'(2(1(1(3(0(2(1(1(1(z0)))))))))), 2'(1(1(3(0(2(1(1(1(z0))))))))), 1'(1(3(0(2(1(1(1(z0)))))))), 1'(3(0(2(1(1(1(z0))))))), 3'(0(2(1(1(1(z0)))))), 0'(2(1(1(1(z0))))), 2'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))) -> c91(3'(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))))), 2'(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))), 1'(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))))), 0'(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))), 1'(1(2(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))))), 1'(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))), 2'(0(0(3(3(0(1(2(0(0(0(0(z0)))))))))))), 0'(0(3(3(0(1(2(0(0(0(0(z0))))))))))), 0'(3(3(0(1(2(0(0(0(0(z0)))))))))), 3'(3(0(1(2(0(0(0(0(z0))))))))), 3'(0(1(2(0(0(0(0(z0)))))))), 0'(1(2(0(0(0(0(z0))))))), 1'(2(0(0(0(0(z0)))))), 2'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
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   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(c_0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(c_3(2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(c_2(0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
   0'(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_3(c_3(c_1(c_2(c_1(c_2(c_1(c_1(x0)))))))))))))))))) -> c9(0'(2(0(1(1(1(1(2(0(3(2(c_0(2(2(1(3(1(1(x0)))))))))))))))))), 2'(0(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))))), 0'(1(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))))), 1'(1(1(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))))), 1'(1(1(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))))), 1'(1(2(0(3(2(0(2(2(1(3(1(1(x0))))))))))))), 1'(2(0(3(2(0(2(2(1(3(1(1(x0)))))))))))), 2'(0(3(2(0(2(2(1(3(1(1(x0))))))))))), 0'(3(2(0(2(2(1(3(1(1(x0)))))))))), 3'(2(0(2(2(1(3(1(1(x0))))))))), 2'(0(2(2(1(3(1(1(x0)))))))), 0'(2(2(1(3(1(1(x0))))))), 2'(2(1(3(1(1(x0)))))), 2'(1(3(1(1(x0))))), 1'(3(1(1(x0)))), 3'(1(1(x0))), 1'(1(x0)), 1'(x0))
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   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(c_1(1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(c_1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(c_1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(c_0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(c_3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 1'(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 2'(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 1'(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 1'(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 0'(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 3'(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 0'(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))
S tuples:
   0'(c_2(c_0(c_3(c_3(c_2(c_2(c_1(c_2(c_0(c_0(c_3(c_1(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c11(2'(0(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))))), 0'(3(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))))), 3'(2(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))))), 2'(0(1(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))))), 0'(1(2(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))))), 1'(2(0(2(2(3(0(3(3(3(1(3(3(z0))))))))))))), 2'(0(2(2(3(0(3(3(3(1(3(3(z0)))))))))))), 0'(2(2(3(0(3(3(3(1(3(3(z0))))))))))), 2'(2(3(0(3(3(3(1(3(3(z0)))))))))), 2'(3(0(3(3(3(1(3(3(z0))))))))), 3'(0(3(3(3(1(3(3(z0)))))))), 0'(3(3(3(1(3(3(z0))))))), 3'(3(3(1(3(3(z0)))))), 3'(3(1(3(3(z0))))), 3'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_3(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(0'(3(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))))), 3'(0(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))))), 0'(3(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))))), 3'(0(2(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))))), 0'(2(0(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))))), 2'(0(0(1(1(0(1(3(2(0(1(3(3(z0))))))))))))), 0'(0(1(1(0(1(3(2(0(1(3(3(z0)))))))))))), 0'(1(1(0(1(3(2(0(1(3(3(z0))))))))))), 1'(1(0(1(3(2(0(1(3(3(z0)))))))))), 1'(0(1(3(2(0(1(3(3(z0))))))))), 0'(1(3(2(0(1(3(3(z0)))))))), 1'(3(2(0(1(3(3(z0))))))), 3'(2(0(1(3(3(z0)))))), 2'(0(1(3(3(z0))))), 0'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   0'(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_3(c_0(c_1(c_2(c_0(c_2(c_2(c_3(c_3(z0)))))))))))))))))) -> c13(0'(0(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))))), 0'(0(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))))), 0'(1(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))))), 1'(2(1(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))))), 2'(1(2(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))))), 1'(2(2(3(2(0(1(1(3(2(2(0(3(z0))))))))))))), 2'(2(3(2(0(1(1(3(2(2(0(3(z0)))))))))))), 2'(3(2(0(1(1(3(2(2(0(3(z0))))))))))), 3'(2(0(1(1(3(2(2(0(3(z0)))))))))), 2'(0(1(1(3(2(2(0(3(z0))))))))), 0'(1(1(3(2(2(0(3(z0)))))))), 1'(1(3(2(2(0(3(z0))))))), 1'(3(2(2(0(3(z0)))))), 3'(2(2(0(3(z0))))), 2'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(c_1(1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(c_1(1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(c_1(0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(c_0(3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(x0)))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(c_3(0(3(x0)))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(x0))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(x0)))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(x0))))))))))), 0'(1(2(1(1(1(0(3(0(3(x0)))))))))), 1'(2(1(1(1(0(3(0(3(x0))))))))), 2'(1(1(1(0(3(0(3(x0)))))))), 1'(1(1(0(3(0(3(x0))))))), 1'(1(0(3(0(3(x0)))))), 1'(0(3(0(3(x0))))), 0'(3(0(3(x0)))), 3'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_1(c_3(c_0(c_2(c_3(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))) -> c10(0'(0(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(2(1(0(1(1(2(0(0(3(3(0(1(2(0(0(0(0(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))), 2'(1(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))), 1'(2(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))), 2'(0(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))), 0'(1(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))), 1'(2(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))))), 2'(0(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))))), 0'(1(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))))), 1'(2(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))))), 2'(1(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))))), 1'(1(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))))), 1'(1(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))), 1'(0(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))))), 0'(3(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))), 3'(0(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))), 0'(3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))), 3'(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_0(z0)))))))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, 3'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_3_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, c25_18, c26_18, c27_18, c28_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, c48_18, c49_18, c50_18, c51_18, c52_18, c53_18, c54_18, c55_18, c56_18, c57_18, c58_18, c59_18, c60_18, c61_18, c62_18, c63_18, c64_18, c65_18, c66_18, c68_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1, c_2, c1_2, c2_2, c3_2, c9_18, c10_18