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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 53 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1338 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 52 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 9 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1590 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 74 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 40 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 9 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 17 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1062 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 11 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), 7581 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2280 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2272 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2278 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2261 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6103 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6706 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(3(0(0(1(1(2(2(0(2(2(3(1(2(2(x1)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(x1))))))))))))))))))
   0(0(1(0(1(2(3(1(0(1(2(3(0(3(2(0(3(1(x1)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(x1))))))))))))))))))
   0(0(1(1(1(1(0(1(2(0(0(1(3(1(0(3(0(2(x1)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(x1))))))))))))))))))
   0(0(2(0(3(0(1(3(2(2(0(0(2(0(1(3(1(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(x1))))))))))))))))))
   0(0(2(0(3(3(1(0(1(3(1(2(3(0(2(2(3(1(x1)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x1))))))))))))))))))
   0(1(0(0(1(2(1(0(0(1(0(1(3(0(1(2(1(2(x1)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(x1))))))))))))))))))
   0(1(0(1(2(3(1(2(0(1(2(2(0(0(2(1(1(2(x1)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(x1))))))))))))))))))
   0(1(2(0(2(2(0(2(1(0(3(1(1(0(3(1(3(2(x1)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(x1))))))))))))))))))
   0(1(2(2(1(2(0(1(0(0(2(0(1(3(0(1(3(3(x1)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(x1))))))))))))))))))
   0(1(2(2(2(3(1(0(1(0(3(1(0(0(1(2(3(2(x1)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(x1))))))))))))))))))
   0(1(3(1(0(0(2(1(1(2(0(0(2(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(x1))))))))))))))))))
   0(2(0(1(2(0(0(3(2(3(0(3(2(2(2(0(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(x1))))))))))))))))))
   0(2(0(2(1(3(0(2(3(0(2(0(1(2(1(2(0(3(x1)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(x1))))))))))))))))))
   0(2(1(0(1(0(1(1(1(3(0(1(1(2(0(1(1(3(x1)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(x1))))))))))))))))))
   0(2(1(2(0(0(1(1(0(2(0(1(3(2(1(3(0(2(x1)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(x1))))))))))))))))))
   0(2(3(1(0(1(2(3(3(0(2(0(1(2(2(1(0(3(x1)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x1))))))))))))))))))
   1(0(1(0(0(3(1(2(0(3(3(2(3(1(1(1(3(2(x1)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(x1))))))))))))))))))
   1(0(1(0(3(3(1(2(0(1(2(1(2(0(2(2(0(1(x1)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(x1))))))))))))))))))
   1(0(1(1(0(2(0(1(0(0(3(3(1(3(0(2(3(2(x1)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(x1))))))))))))))))))
   1(0(1(3(0(3(3(0(1(2(3(2(0(0(2(0(2(3(x1)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(x1))))))))))))))))))
   1(0(1(3(1(2(2(1(2(1(1(3(1(1(2(1(2(2(x1)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(x1))))))))))))))))))
   1(0(2(0(0(2(2(0(1(3(3(2(2(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(x1))))))))))))))))))
   1(0(2(3(1(3(3(1(3(0(2(2(0(0(2(3(1(0(x1)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(x1))))))))))))))))))
   1(0(3(1(3(1(2(3(1(0(0(0(1(1(1(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(x1))))))))))))))))))
   1(0(3(2(3(2(2(1(0(1(1(3(1(2(2(0(0(0(x1)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(x1))))))))))))))))))
   1(1(0(0(0(2(1(3(1(1(3(2(2(2(3(1(3(1(x1)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(x1))))))))))))))))))
   1(1(0(2(1(0(3(3(1(0(0(3(0(3(0(1(1(0(x1)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(x1))))))))))))))))))
   1(1(0(2(3(1(1(0(2(3(1(1(3(1(0(2(3(1(x1)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(x1))))))))))))))))))
   1(1(1(1(0(2(2(3(1(0(0(0(0(0(1(0(2(1(x1)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(x1))))))))))))))))))
   1(1(1(1(2(1(1(0(1(2(2(2(0(1(3(0(1(1(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(x1))))))))))))))))))
   1(1(1(1(3(1(0(0(2(1(2(2(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(x1))))))))))))))))))
   1(2(0(3(0(2(2(2(3(1(3(1(2(2(2(3(3(2(x1)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(x1))))))))))))))))))
   1(2(0(3(0(3(2(1(3(0(1(2(2(2(1(3(2(2(x1)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(x1))))))))))))))))))
   1(2(1(0(2(3(2(3(1(3(3(1(3(0(2(1(1(1(x1)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(x1))))))))))))))))))
   1(2(1(3(1(2(0(0(0(2(3(3(1(0(3(1(3(2(x1)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(x1))))))))))))))))))
   1(2(3(2(1(3(3(2(3(1(3(1(2(1(3(1(3(2(x1)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(x1))))))))))))))))))
   1(3(0(1(2(0(1(1(2(2(2(3(3(0(3(1(0(1(x1)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(x1))))))))))))))))))
   1(3(1(3(0(1(3(3(2(0(1(1(2(0(3(0(1(2(x1)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(x1))))))))))))))))))
   2(0(1(2(1(2(0(1(2(3(0(1(1(0(3(0(0(1(x1)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(x1))))))))))))))))))
   2(0(1(3(1(2(3(2(2(0(1(2(0(1(0(1(1(1(x1)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(x1))))))))))))))))))
   2(0(2(3(1(3(1(0(0(1(2(3(1(3(0(1(2(3(x1)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(x1))))))))))))))))))
   2(0(3(3(2(0(0(3(0(3(3(3(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(x1))))))))))))))))))
   2(1(1(0(2(0(0(2(0(0(0(1(2(3(0(3(1(0(x1)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(x1))))))))))))))))))
   2(1(2(2(3(1(3(3(1(2(3(2(3(2(1(2(2(3(x1)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(x1))))))))))))))))))
   2(1(3(1(1(1(3(0(1(2(3(2(2(3(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(x1))))))))))))))))))
   2(1(3(3(2(0(1(1(0(1(1(0(0(0(1(2(0(2(x1)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(x1))))))))))))))))))
   2(2(0(1(0(1(3(0(2(0(3(1(1(1(2(1(2(1(x1)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(x1))))))))))))))))))
   2(2(0(2(0(2(3(1(3(3(1(3(2(0(1(2(3(1(x1)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(x1))))))))))))))))))
   2(2(1(2(2(3(0(3(2(3(0(1(1(0(3(2(2(0(x1)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(x1))))))))))))))))))
   2(2(1(3(2(1(2(1(1(1(2(0(1(2(0(2(3(1(x1)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(x1))))))))))))))))))
   2(2(2(0(1(1(3(1(0(3(1(0(1(2(0(2(0(1(x1)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(x1))))))))))))))))))
   2(2(2(2(2(2(2(0(2(0(1(2(3(1(0(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(x1))))))))))))))))))
   2(2(2(2(2(3(0(3(3(1(2(1(2(2(0(3(0(1(x1)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(x1))))))))))))))))))
   2(3(0(0(3(1(1(0(1(2(2(0(1(2(0(0(1(2(x1)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(x1))))))))))))))))))
   2(3(1(1(1(3(1(2(0(1(2(2(3(2(0(1(0(2(x1)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(x1))))))))))))))))))
   2(3(3(2(3(0(1(1(2(2(0(3(0(1(1(3(2(2(x1)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(x1))))))))))))))))))
   2(3(3(3(1(1(3(0(0(1(2(0(3(0(3(2(0(3(x1)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(x1))))))))))))))))))
   3(0(1(2(3(3(1(3(1(0(1(3(0(2(2(3(1(0(x1)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(x1))))))))))))))))))
   3(0(2(3(3(0(3(1(0(3(0(0(3(3(2(0(1(3(x1)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(x1))))))))))))))))))
   3(0(3(1(3(0(3(1(0(3(0(3(1(2(3(3(3(2(x1)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(x1))))))))))))))))))
   3(0(3(2(3(1(2(1(2(2(0(3(1(3(2(3(2(3(x1)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(x1))))))))))))))))))
   3(1(0(3(1(1(3(1(1(3(1(2(2(3(1(2(3(1(x1)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(x1))))))))))))))))))
   3(1(1(1(1(2(3(0(3(1(3(3(0(3(3(0(3(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(x1))))))))))))))))))
   3(1(1(3(1(3(0(0(0(3(1(2(0(1(0(1(2(1(x1)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(x1))))))))))))))))))
   3(1(2(2(3(1(0(0(3(3(0(1(3(0(0(2(1(1(x1)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(x1))))))))))))))))))
   3(1(2(3(3(2(2(3(1(1(3(3(1(2(0(1(2(2(x1)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(x1))))))))))))))))))
   3(1(3(0(0(1(0(1(2(2(0(1(1(3(0(2(2(1(x1)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(x1))))))))))))))))))
   3(1(3(0(0(3(0(0(3(1(1(3(2(3(1(2(1(3(x1)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(x1))))))))))))))))))
   3(1(3(1(0(3(0(3(2(2(2(2(3(0(2(3(3(1(x1)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(x1))))))))))))))))))
   3(1(3(1(0(3(3(0(0(3(2(0(1(2(0(0(1(0(x1)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(x1))))))))))))))))))
   3(1(3(1(3(3(2(2(0(3(2(3(1(0(1(2(2(3(x1)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(x1))))))))))))))))))
   3(1(3(2(3(1(0(1(3(2(3(2(0(0(2(0(2(2(x1)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(x1))))))))))))))))))
   3(1(3(2(3(2(3(0(3(3(1(3(2(2(2(3(3(3(x1)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(x1))))))))))))))))))
   3(2(0(3(1(3(2(2(2(2(1(3(0(3(0(2(1(1(x1)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(x1))))))))))))))))))
   3(2(3(3(3(0(0(3(3(1(3(0(3(3(3(2(3(3(x1)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(x1))))))))))))))))))
   3(2(3(3(3(1(2(2(3(3(1(3(2(3(0(3(0(3(x1)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(x1))))))))))))))))))
   3(3(2(1(0(3(0(1(3(3(2(2(2(0(1(0(3(2(x1)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(x1))))))))))))))))))
   3(3(2(1(2(2(2(2(1(3(0(0(1(3(0(3(0(2(x1)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(x1))))))))))))))))))
   3(3(2(3(0(1(2(0(3(3(1(2(2(1(0(2(3(1(x1)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(x1))))))))))))))))))
   3(3(3(1(3(1(2(2(1(3(0(1(3(1(1(1(2(0(x1)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(x1))))))))))))))))))

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

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

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


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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

Types:
0 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
3 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
1 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
2 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
hole_2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_21_4 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3

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

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

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

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

(12)
Obligation:
TRS:
Rules:
0(0(0(0(3(0(0(1(1(2(2(0(2(2(3(1(2(2(x1)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(x1))))))))))))))))))
0(0(1(0(1(2(3(1(0(1(2(3(0(3(2(0(3(1(x1)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(x1))))))))))))))))))
0(0(1(1(1(1(0(1(2(0(0(1(3(1(0(3(0(2(x1)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(x1))))))))))))))))))
0(0(2(0(3(0(1(3(2(2(0(0(2(0(1(3(1(2(x1)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(x1))))))))))))))))))
0(0(2(0(3(3(1(0(1(3(1(2(3(0(2(2(3(1(x1)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x1))))))))))))))))))
0(1(0(0(1(2(1(0(0(1(0(1(3(0(1(2(1(2(x1)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(x1))))))))))))))))))
0(1(0(1(2(3(1(2(0(1(2(2(0(0(2(1(1(2(x1)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(x1))))))))))))))))))
0(1(2(0(2(2(0(2(1(0(3(1(1(0(3(1(3(2(x1)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(x1))))))))))))))))))
0(1(2(2(1(2(0(1(0(0(2(0(1(3(0(1(3(3(x1)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(x1))))))))))))))))))
0(1(2(2(2(3(1(0(1(0(3(1(0(0(1(2(3(2(x1)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(x1))))))))))))))))))
0(1(3(1(0(0(2(1(1(2(0(0(2(0(1(1(0(1(x1)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(x1))))))))))))))))))
0(2(0(1(2(0(0(3(2(3(0(3(2(2(2(0(3(0(x1)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(x1))))))))))))))))))
0(2(0(2(1(3(0(2(3(0(2(0(1(2(1(2(0(3(x1)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(x1))))))))))))))))))
0(2(1(0(1(0(1(1(1(3(0(1(1(2(0(1(1(3(x1)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(x1))))))))))))))))))
0(2(1(2(0(0(1(1(0(2(0(1(3(2(1(3(0(2(x1)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(x1))))))))))))))))))
0(2(3(1(0(1(2(3(3(0(2(0(1(2(2(1(0(3(x1)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x1))))))))))))))))))
1(0(1(0(0(3(1(2(0(3(3(2(3(1(1(1(3(2(x1)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(x1))))))))))))))))))
1(0(1(0(3(3(1(2(0(1(2(1(2(0(2(2(0(1(x1)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(x1))))))))))))))))))
1(0(1(1(0(2(0(1(0(0(3(3(1(3(0(2(3(2(x1)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(x1))))))))))))))))))
1(0(1(3(0(3(3(0(1(2(3(2(0(0(2(0(2(3(x1)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(x1))))))))))))))))))
1(0(1(3(1(2(2(1(2(1(1(3(1(1(2(1(2(2(x1)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(x1))))))))))))))))))
1(0(2(0(0(2(2(0(1(3(3(2(2(0(1(0(1(3(x1)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(x1))))))))))))))))))
1(0(2(3(1(3(3(1(3(0(2(2(0(0(2(3(1(0(x1)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(x1))))))))))))))))))
1(0(3(1(3(1(2(3(1(0(0(0(1(1(1(3(3(1(x1)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(x1))))))))))))))))))
1(0(3(2(3(2(2(1(0(1(1(3(1(2(2(0(0(0(x1)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(x1))))))))))))))))))
1(1(0(0(0(2(1(3(1(1(3(2(2(2(3(1(3(1(x1)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(x1))))))))))))))))))
1(1(0(2(1(0(3(3(1(0(0(3(0(3(0(1(1(0(x1)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(x1))))))))))))))))))
1(1(0(2(3(1(1(0(2(3(1(1(3(1(0(2(3(1(x1)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(x1))))))))))))))))))
1(1(1(1(0(2(2(3(1(0(0(0(0(0(1(0(2(1(x1)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(x1))))))))))))))))))
1(1(1(1(2(1(1(0(1(2(2(2(0(1(3(0(1(1(x1)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(x1))))))))))))))))))
1(1(1(1(3(1(0(0(2(1(2(2(2(2(1(3(1(3(x1)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(x1))))))))))))))))))
1(2(0(3(0(2(2(2(3(1(3(1(2(2(2(3(3(2(x1)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(x1))))))))))))))))))
1(2(0(3(0(3(2(1(3(0(1(2(2(2(1(3(2(2(x1)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(x1))))))))))))))))))
1(2(1(0(2(3(2(3(1(3(3(1(3(0(2(1(1(1(x1)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(x1))))))))))))))))))
1(2(1(3(1(2(0(0(0(2(3(3(1(0(3(1(3(2(x1)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(x1))))))))))))))))))
1(2(3(2(1(3(3(2(3(1(3(1(2(1(3(1(3(2(x1)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(x1))))))))))))))))))
1(3(0(1(2(0(1(1(2(2(2(3(3(0(3(1(0(1(x1)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(x1))))))))))))))))))
1(3(1(3(0(1(3(3(2(0(1(1(2(0(3(0(1(2(x1)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(x1))))))))))))))))))
2(0(1(2(1(2(0(1(2(3(0(1(1(0(3(0(0(1(x1)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(x1))))))))))))))))))
2(0(1(3(1(2(3(2(2(0(1(2(0(1(0(1(1(1(x1)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(x1))))))))))))))))))
2(0(2(3(1(3(1(0(0(1(2(3(1(3(0(1(2(3(x1)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(x1))))))))))))))))))
2(0(3(3(2(0(0(3(0(3(3(3(2(3(0(3(2(3(x1)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(x1))))))))))))))))))
2(1(1(0(2(0(0(2(0(0(0(1(2(3(0(3(1(0(x1)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(x1))))))))))))))))))
2(1(2(2(3(1(3(3(1(2(3(2(3(2(1(2(2(3(x1)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(x1))))))))))))))))))
2(1(3(1(1(1(3(0(1(2(3(2(2(3(3(1(3(1(x1)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(x1))))))))))))))))))
2(1(3(3(2(0(1(1(0(1(1(0(0(0(1(2(0(2(x1)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(x1))))))))))))))))))
2(2(0(1(0(1(3(0(2(0(3(1(1(1(2(1(2(1(x1)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(x1))))))))))))))))))
2(2(0(2(0(2(3(1(3(3(1(3(2(0(1(2(3(1(x1)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(x1))))))))))))))))))
2(2(1(2(2(3(0(3(2(3(0(1(1(0(3(2(2(0(x1)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(x1))))))))))))))))))
2(2(1(3(2(1(2(1(1(1(2(0(1(2(0(2(3(1(x1)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(x1))))))))))))))))))
2(2(2(0(1(1(3(1(0(3(1(0(1(2(0(2(0(1(x1)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(x1))))))))))))))))))
2(2(2(2(2(2(2(0(2(0(1(2(3(1(0(1(0(1(x1)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(x1))))))))))))))))))
2(2(2(2(2(3(0(3(3(1(2(1(2(2(0(3(0(1(x1)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(x1))))))))))))))))))
2(3(0(0(3(1(1(0(1(2(2(0(1(2(0(0(1(2(x1)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(x1))))))))))))))))))
2(3(1(1(1(3(1(2(0(1(2(2(3(2(0(1(0(2(x1)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(x1))))))))))))))))))
2(3(3(2(3(0(1(1(2(2(0(3(0(1(1(3(2(2(x1)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(x1))))))))))))))))))
2(3(3(3(1(1(3(0(0(1(2(0(3(0(3(2(0(3(x1)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(x1))))))))))))))))))
3(0(1(2(3(3(1(3(1(0(1(3(0(2(2(3(1(0(x1)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(x1))))))))))))))))))
3(0(2(3(3(0(3(1(0(3(0(0(3(3(2(0(1(3(x1)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(x1))))))))))))))))))
3(0(3(1(3(0(3(1(0(3(0(3(1(2(3(3(3(2(x1)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(x1))))))))))))))))))
3(0(3(2(3(1(2(1(2(2(0(3(1(3(2(3(2(3(x1)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(x1))))))))))))))))))
3(1(0(3(1(1(3(1(1(3(1(2(2(3(1(2(3(1(x1)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(x1))))))))))))))))))
3(1(1(1(1(2(3(0(3(1(3(3(0(3(3(0(3(1(x1)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(x1))))))))))))))))))
3(1(1(3(1(3(0(0(0(3(1(2(0(1(0(1(2(1(x1)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(x1))))))))))))))))))
3(1(2(2(3(1(0(0(3(3(0(1(3(0(0(2(1(1(x1)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(x1))))))))))))))))))
3(1(2(3(3(2(2(3(1(1(3(3(1(2(0(1(2(2(x1)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(x1))))))))))))))))))
3(1(3(0(0(1(0(1(2(2(0(1(1(3(0(2(2(1(x1)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(x1))))))))))))))))))
3(1(3(0(0(3(0(0(3(1(1(3(2(3(1(2(1(3(x1)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(x1))))))))))))))))))
3(1(3(1(0(3(0(3(2(2(2(2(3(0(2(3(3(1(x1)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(x1))))))))))))))))))
3(1(3(1(0(3(3(0(0(3(2(0(1(2(0(0(1(0(x1)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(x1))))))))))))))))))
3(1(3(1(3(3(2(2(0(3(2(3(1(0(1(2(2(3(x1)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(x1))))))))))))))))))
3(1(3(2(3(1(0(1(3(2(3(2(0(0(2(0(2(2(x1)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(x1))))))))))))))))))
3(1(3(2(3(2(3(0(3(3(1(3(2(2(2(3(3(3(x1)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(x1))))))))))))))))))
3(2(0(3(1(3(2(2(2(2(1(3(0(3(0(2(1(1(x1)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(x1))))))))))))))))))
3(2(3(3(3(0(0(3(3(1(3(0(3(3(3(2(3(3(x1)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(x1))))))))))))))))))
3(2(3(3(3(1(2(2(3(3(1(3(2(3(0(3(0(3(x1)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(x1))))))))))))))))))
3(3(2(1(0(3(0(1(3(3(2(2(2(0(1(0(3(2(x1)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(x1))))))))))))))))))
3(3(2(1(2(2(2(2(1(3(0(0(1(3(0(3(0(2(x1)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(x1))))))))))))))))))
3(3(2(3(0(1(2(0(3(3(1(2(2(1(0(2(3(1(x1)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(x1))))))))))))))))))
3(3(3(1(3(1(2(2(1(3(0(1(3(1(1(1(2(0(x1)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(x1))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_3(x_1) -> 3(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
3 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
1 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
2 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_1 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_2 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
cons_3 :: cons_0:cons_1:cons_2:cons_3 -> cons_0:cons_1:cons_2:cons_3
encode_0 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_3 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2:cons_3 -> 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
hole_2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_21_4 :: 2:1:3:0:encArg:encode_0:encode_3:encode_1:encode_2
hole_cons_0:cons_1:cons_2:cons_32_4 :: cons_0:cons_1:cons_2:cons_3
gen_cons_0:cons_1:cons_2:cons_33_4 :: Nat -> cons_0:cons_1:cons_2:cons_3


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


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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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

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

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

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

(c) The following functions are completely defined:

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

Due to the following rules being added:

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

And the following fresh constants:    const, const1

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

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

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

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

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

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

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

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

   3'(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(x1)))))))))))))))))) -> 3'(1'(2'(2'(3'(1'(1'(1'(0'(2'(0'(2'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(x1)))))))))))))))))) -> 1'(1'(1'(3'(3'(0'(2'(1'(1'(3'(0'(0'(0'(0'(2'(3'(0'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))) -> 0'(2'(2'(2'(1'(2'(2'(3'(2'(1'(0'(1'(2'(1'(0'(2'(0'(2'(x1)))))))))))))))))) [1]
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x1)))))))))))))))))) -> 0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1)))))))))))))))))) [1]
   3'(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(x1)))))))))))))))))) -> 3'(3'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(3'(3'(1'(3'(3'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(x1)))))))))))))))))) -> 1'(1'(0'(3'(3'(2'(1'(1'(3'(0'(1'(0'(0'(1'(3'(2'(2'(2'(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x1120))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1120))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x1121))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1121))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(x1122))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1122))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(x1123))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1123))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(x1124))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1124))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(x1125))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1125))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(x1126))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1126))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(x1127))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1127))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(x1128))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1128))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(x1129))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1129))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(x1130))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1130))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(x1131))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1131))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(x1132))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1132))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(x1133))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1133))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(x1134))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1134))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(x1135))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1135))))))))))))))))))))))))))))))))))) [2]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(c_0(x1)))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(const))))))))))))))))) [1]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x1136))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1136))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x1137))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1137))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(x1138))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1138))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(x1139))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1139))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(x1140))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1140))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(x1141))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1141))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(x1142))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1142))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(x1143))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1143))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(x1144))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1144))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(x1145))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1145))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(x1146))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1146))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(x1147))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1147))))))))))))))))))))))))))))))))))) [2]
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(x1148))))))))))))))))))))))))))))))))))) -> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1148))))))))))))))))))))))))))))))))))) [2]
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   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(x1)))))))))))))))))) -> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(const))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(x1)))))))))))))))))) -> 1'(1'(1'(1'(0'(0'(2'(1'(2'(0'(2'(0'(0'(0'(0'(3'(1'(1'(x1)))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(x1)))))))))))))))))) -> 2'(0'(0'(2'(3'(3'(0'(2'(2'(1'(2'(3'(2'(3'(2'(1'(2'(1'(x1)))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x11077))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x11077))))))))))))))))))))))))))))))))))) [2]
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   0'(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(x1)))))))))))))))))) -> 0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1)))))))))))))))))) [1]
   1'(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(x1)))))))))))))))))) -> 1'(2'(1'(0'(3'(0'(0'(1'(2'(3'(3'(3'(0'(1'(2'(1'(3'(1'(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x11575))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x11575))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x11576))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x11576))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(x11577))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x11577))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(x11578))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x11578))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(x11579))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x11579))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(x11580))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x11580))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(x11581))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x11581))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(x11582))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x11582))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(x11583))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x11583))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(x11584))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x11584))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(x11585))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x11585))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(x11586))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x11586))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(x11587))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x11587))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(x11588))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x11588))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(x11589))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x11589))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(x11590))))))))))))))))))))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x11590))))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(c_0(x1)))))))))))))))))) [1]
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(x1)))))))))))))))))) -> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(const))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(x1)))))))))))))))))) -> 0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1)))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(cons_3(x_12))) -> 0'(3'(encArg(x_12))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_13))) -> 1'(0'(encArg(x_13))) [0]
   encArg(cons_1(cons_1(x_14))) -> 1'(1'(encArg(x_14))) [0]
   encArg(cons_1(cons_2(x_15))) -> 1'(2'(encArg(x_15))) [0]
   encArg(cons_1(cons_3(x_16))) -> 1'(3'(encArg(x_16))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_17))) -> 2'(0'(encArg(x_17))) [0]
   encArg(cons_2(cons_1(x_18))) -> 2'(1'(encArg(x_18))) [0]
   encArg(cons_2(cons_2(x_19))) -> 2'(2'(encArg(x_19))) [0]
   encArg(cons_2(cons_3(x_110))) -> 2'(3'(encArg(x_110))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_3(cons_0(x_111))) -> 3'(0'(encArg(x_111))) [0]
   encArg(cons_3(cons_1(x_112))) -> 3'(1'(encArg(x_112))) [0]
   encArg(cons_3(cons_2(x_113))) -> 3'(2'(encArg(x_113))) [0]
   encArg(cons_3(cons_3(x_114))) -> 3'(3'(encArg(x_114))) [0]
   encArg(cons_3(x_1)) -> 3'(const) [0]
   encode_0(cons_0(x_115)) -> 0'(0'(encArg(x_115))) [0]
   encode_0(cons_1(x_116)) -> 0'(1'(encArg(x_116))) [0]
   encode_0(cons_2(x_117)) -> 0'(2'(encArg(x_117))) [0]
   encode_0(cons_3(x_118)) -> 0'(3'(encArg(x_118))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_3(cons_0(x_119)) -> 3'(0'(encArg(x_119))) [0]
   encode_3(cons_1(x_120)) -> 3'(1'(encArg(x_120))) [0]
   encode_3(cons_2(x_121)) -> 3'(2'(encArg(x_121))) [0]
   encode_3(cons_3(x_122)) -> 3'(3'(encArg(x_122))) [0]
   encode_3(x_1) -> 3'(const) [0]
   encode_1(cons_0(x_123)) -> 1'(0'(encArg(x_123))) [0]
   encode_1(cons_1(x_124)) -> 1'(1'(encArg(x_124))) [0]
   encode_1(cons_2(x_125)) -> 1'(2'(encArg(x_125))) [0]
   encode_1(cons_3(x_126)) -> 1'(3'(encArg(x_126))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_2(cons_0(x_127)) -> 2'(0'(encArg(x_127))) [0]
   encode_2(cons_1(x_128)) -> 2'(1'(encArg(x_128))) [0]
   encode_2(cons_2(x_129)) -> 2'(2'(encArg(x_129))) [0]
   encode_2(cons_3(x_130)) -> 2'(3'(encArg(x_130))) [0]
   encode_2(x_1) -> 2'(const) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]

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

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

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

   const => 0
   const1 => 0

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

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

   0'(z) -{ 1 }-> 2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x11079))))))))))))))))))))))))))))))))))) :|: x11079 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11079)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x11086))))))))))))))))))))))))))))))))))) :|: x11086 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11086)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x11080))))))))))))))))))))))))))))))))))) :|: x11080 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11080)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x11082))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11082))))))))))))))))))))))))))))))))), x11082 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x11083))))))))))))))))))))))))))))))))))) :|: x11083 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11083)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x11087))))))))))))))))))))))))))))))))))) :|: x11087 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11087)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x11084))))))))))))))))))))))))))))))))))) :|: x11084 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11084)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x11078))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11078))))))))))))))))))))))))))))))))), x11078 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x11077))))))))))))))))))))))))))))))))))) :|: x11077 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11077)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x11081))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11081))))))))))))))))))))))))))))))))), x11081 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x11085))))))))))))))))))))))))))))))))))) :|: x11085 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11085)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x11092))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11092))))))))))))))))))))))))))))))))), x11092 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x11089))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11089))))))))))))))))))))))))))))))))), x11089 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x11088))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11088))))))))))))))))))))))))))))))))), x11088 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x11090))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11090))))))))))))))))))))))))))))))))), x11090 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x11091))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11091))))))))))))))))))))))))))))))))), x11091 >= 0
   0'(z) -{ 1 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(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 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1634))))))))))))))))))))))))))))))))))) :|: x1634 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1634)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1641))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1641))))))))))))))))))))))))))))))))), x1641 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1635))))))))))))))))))))))))))))))))))) :|: x1635 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1635)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1637))))))))))))))))))))))))))))))))))) :|: x1637 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1637)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1638))))))))))))))))))))))))))))))))))) :|: x1638 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1638)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1642))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1642))))))))))))))))))))))))))))))))), x1642 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1639))))))))))))))))))))))))))))))))))) :|: x1639 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1639)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1633))))))))))))))))))))))))))))))))))) :|: x1633 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1633)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1632))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1632))))))))))))))))))))))))))))))))), x1632 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1636))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1636))))))))))))))))))))))))))))))))), x1636 >= 0
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1640))))))))))))))))))))))))))))))))))) :|: x1640 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1640)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1647))))))))))))))))))))))))))))))))))) :|: x1647 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1647)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1644))))))))))))))))))))))))))))))))))) :|: x1644 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1644)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1643))))))))))))))))))))))))))))))))))) :|: x1643 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1643)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1645))))))))))))))))))))))))))))))))))) :|: x1645 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1645)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1646))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1646))))))))))))))))))))))))))))))))), x1646 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(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
   0'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(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
   0'(z) -{ 1 }-> 0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(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
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(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
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(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
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(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
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(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
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(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
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x11187))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11187))))))))))))))))))))))))))))))))), x11187 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(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
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(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)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(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'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(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
   0'(z) -{ 1 }-> 0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1'(3'(3'(0'(3'(2'(2'(3'(0'(1'(1'(1'(1'(2'(0'(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
   1'(z) -{ 1 }-> 1'(3'(2'(1'(1'(1'(2'(1'(3'(2'(2'(2'(1'(1'(1'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(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) -{ 2 }-> 1'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(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'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1167))))))))))))))))))))))))))))))))))) :|: x1167 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1167)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1164))))))))))))))))))))))))))))))))))) :|: x1164 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1164)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1163))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1163))))))))))))))))))))))))))))))))), x1163 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1165))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1165))))))))))))))))))))))))))))))))), x1165 >= 0
   1'(z) -{ 2 }-> 1'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1166))))))))))))))))))))))))))))))))))) :|: x1166 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1166)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(3'(1'(0'(2'(2'(3'(0'(2'(0'(2'(3'(0'(2'(1'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(3'(3'(3'(3'(0'(2'(1'(1'(2'(2'(2'(0'(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
   1'(z) -{ 1 }-> 1'(2'(3'(3'(2'(1'(3'(3'(1'(3'(1'(1'(3'(1'(2'(2'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(1'(3'(0'(2'(0'(3'(2'(3'(3'(2'(1'(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
   1'(z) -{ 1 }-> 1'(2'(2'(1'(1'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(1'(3'(1'(1'(0'(2'(1'(2'(3'(0'(0'(3'(3'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(3'(0'(0'(1'(2'(3'(3'(3'(0'(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
   1'(z) -{ 1 }-> 1'(2'(0'(0'(1'(3'(2'(2'(0'(0'(1'(1'(2'(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
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1539))))))))))))))))))))))))))))))))))) :|: x1539 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1539)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1546))))))))))))))))))))))))))))))))))) :|: x1546 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1546)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1540))))))))))))))))))))))))))))))))))) :|: x1540 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1540)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1542))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1542))))))))))))))))))))))))))))))))), x1542 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1543))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1543))))))))))))))))))))))))))))))))), x1543 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1547))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1547))))))))))))))))))))))))))))))))), x1547 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1544))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1544))))))))))))))))))))))))))))))))), x1544 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1538))))))))))))))))))))))))))))))))))) :|: x1538 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1538)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1537))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1537))))))))))))))))))))))))))))))))), x1537 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1541))))))))))))))))))))))))))))))))))) :|: x1541 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1541)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1545))))))))))))))))))))))))))))))))))) :|: x1545 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1545)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1552))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1552))))))))))))))))))))))))))))))))), x1552 >= 0
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1549))))))))))))))))))))))))))))))))))) :|: x1549 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1549)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1548))))))))))))))))))))))))))))))))))) :|: x1548 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1548)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1550))))))))))))))))))))))))))))))))))) :|: x1550 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1550)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1551))))))))))))))))))))))))))))))))))) :|: x1551 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1551)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(0'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(3'(3'(1'(0'(3'(3'(0'(0'(1'(1'(0'(0'(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'(3'(0'(0'(3'(3'(3'(2'(1'(3'(2'(1'(2'(1'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(3'(3'(0'(2'(1'(1'(3'(0'(0'(0'(0'(2'(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
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1618))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1618))))))))))))))))))))))))))))))))), x1618 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1625))))))))))))))))))))))))))))))))))) :|: x1625 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1625)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1619))))))))))))))))))))))))))))))))))) :|: x1619 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1619)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1621))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1621))))))))))))))))))))))))))))))))), x1621 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1622))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1622))))))))))))))))))))))))))))))))), x1622 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1626))))))))))))))))))))))))))))))))))) :|: x1626 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1626)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1623))))))))))))))))))))))))))))))))))) :|: x1623 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1623)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1617))))))))))))))))))))))))))))))))))) :|: x1617 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1617)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1616))))))))))))))))))))))))))))))))))) :|: x1616 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1616)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1620))))))))))))))))))))))))))))))))))) :|: x1620 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1620)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1624))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1624))))))))))))))))))))))))))))))))), x1624 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1631))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1631))))))))))))))))))))))))))))))))), x1631 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1628))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1628))))))))))))))))))))))))))))))))), x1628 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1627))))))))))))))))))))))))))))))))))) :|: x1627 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1627)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1629))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1629))))))))))))))))))))))))))))))))), x1629 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1630))))))))))))))))))))))))))))))))))) :|: x1630 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1630)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(2'(1'(1'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(2'(1'(1'(2'(0'(3'(1'(1'(1'(2'(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
   1'(z) -{ 1 }-> 1'(1'(1'(1'(0'(0'(2'(1'(2'(0'(2'(0'(0'(0'(0'(3'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(3'(3'(2'(1'(1'(3'(0'(1'(0'(0'(1'(3'(2'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(1'(1'(0'(3'(0'(1'(3'(2'(1'(3'(0'(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
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1917))))))))))))))))))))))))))))))))))) :|: x1917 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1917)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1924))))))))))))))))))))))))))))))))))) :|: x1924 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1924)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1918))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1918))))))))))))))))))))))))))))))))), x1918 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1920))))))))))))))))))))))))))))))))))) :|: x1920 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1920)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1921))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1921))))))))))))))))))))))))))))))))), x1921 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1925))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1925))))))))))))))))))))))))))))))))), x1925 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1922))))))))))))))))))))))))))))))))))) :|: x1922 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1922)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1916))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1916))))))))))))))))))))))))))))))))), x1916 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1915))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1915))))))))))))))))))))))))))))))))), x1915 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1919))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1919))))))))))))))))))))))))))))))))), x1919 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1923))))))))))))))))))))))))))))))))))) :|: x1923 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1923)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1930))))))))))))))))))))))))))))))))))) :|: x1930 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1930)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1927))))))))))))))))))))))))))))))))))) :|: x1927 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1927)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1926))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1926))))))))))))))))))))))))))))))))), x1926 >= 0
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1928))))))))))))))))))))))))))))))))))) :|: x1928 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1928)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1929))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1929))))))))))))))))))))))))))))))))), x1929 >= 0
   1'(z) -{ 1 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(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 }-> 1'(0'(3'(0'(2'(0'(3'(3'(1'(2'(1'(2'(0'(3'(3'(1'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1272))))))))))))))))))))))))))))))))))) :|: x1272 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1272)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1279))))))))))))))))))))))))))))))))))) :|: x1279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1279)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1273))))))))))))))))))))))))))))))))))) :|: x1273 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1273)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1275))))))))))))))))))))))))))))))))))) :|: x1275 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1275)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1276))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1276))))))))))))))))))))))))))))))))), x1276 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1280))))))))))))))))))))))))))))))))))) :|: x1280 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1280)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1277))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1277))))))))))))))))))))))))))))))))), x1277 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1271))))))))))))))))))))))))))))))))))) :|: x1271 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1271)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1270))))))))))))))))))))))))))))))))))) :|: x1270 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1270)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1274))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1274))))))))))))))))))))))))))))))))), x1274 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1278))))))))))))))))))))))))))))))))))) :|: x1278 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1278)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1285))))))))))))))))))))))))))))))))))) :|: x1285 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1285)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1282))))))))))))))))))))))))))))))))))) :|: x1282 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1282)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1281))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1281))))))))))))))))))))))))))))))))), x1281 >= 0
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1283))))))))))))))))))))))))))))))))))) :|: x1283 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1283)))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(3'(0'(3'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1284))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1284))))))))))))))))))))))))))))))))), x1284 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(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
   1'(z) -{ 1 }-> 1'(0'(2'(0'(3'(0'(2'(1'(2'(2'(1'(1'(0'(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
   1'(z) -{ 1 }-> 1'(0'(2'(0'(1'(2'(1'(0'(0'(2'(3'(3'(2'(0'(3'(0'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(3'(1'(1'(0'(0'(3'(2'(3'(2'(0'(3'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(2'(1'(2'(3'(2'(1'(1'(3'(0'(3'(1'(1'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(3'(3'(2'(1'(0'(1'(0'(0'(3'(2'(1'(3'(0'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(3'(3'(0'(2'(0'(2'(1'(3'(2'(1'(3'(1'(1'(0'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1818))))))))))))))))))))))))))))))))))) :|: x1818 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1818)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1825))))))))))))))))))))))))))))))))))) :|: x1825 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1825)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1819))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1819))))))))))))))))))))))))))))))))), x1819 >= 0
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1821))))))))))))))))))))))))))))))))))) :|: x1821 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1821)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1822))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1822))))))))))))))))))))))))))))))))), x1822 >= 0
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1826))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1826))))))))))))))))))))))))))))))))), x1826 >= 0
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1823))))))))))))))))))))))))))))))))))) :|: x1823 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1823)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1817))))))))))))))))))))))))))))))))))) :|: x1817 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1817)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1816))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1816))))))))))))))))))))))))))))))))), x1816 >= 0
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1820))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1820))))))))))))))))))))))))))))))))), x1820 >= 0
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1824))))))))))))))))))))))))))))))))))) :|: x1824 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1824)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1831))))))))))))))))))))))))))))))))))) :|: x1831 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1831)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1828))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1828))))))))))))))))))))))))))))))))), x1828 >= 0
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1827))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1827))))))))))))))))))))))))))))))))), x1827 >= 0
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1829))))))))))))))))))))))))))))))))))) :|: x1829 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1829)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1830))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1830))))))))))))))))))))))))))))))))), x1830 >= 0
   2'(z) -{ 1 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(0'(2'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(3'(0'(0'(0'(0'(3'(0'(0'(2'(1'(2'(1'(1'(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
   2'(z) -{ 1 }-> 2'(2'(3'(2'(3'(2'(2'(1'(1'(1'(3'(2'(2'(1'(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
   2'(z) -{ 1 }-> 2'(1'(3'(3'(2'(1'(1'(2'(1'(0'(0'(1'(2'(0'(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
   2'(z) -{ 1 }-> 2'(1'(3'(1'(2'(2'(3'(0'(2'(1'(1'(1'(1'(3'(3'(3'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(3'(3'(1'(1'(1'(2'(1'(2'(0'(0'(2'(2'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(3'(2'(0'(3'(3'(3'(3'(3'(0'(0'(2'(0'(2'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1122))))))))))))))))))))))))))))))))))) :|: x1122 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1122)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1129))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1129))))))))))))))))))))))))))))))))), x1129 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1123))))))))))))))))))))))))))))))))))) :|: x1123 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1123)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1125))))))))))))))))))))))))))))))))))) :|: x1125 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1125)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1126))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1126))))))))))))))))))))))))))))))))), x1126 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1130))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1130))))))))))))))))))))))))))))))))), x1130 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1127))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1127))))))))))))))))))))))))))))))))), x1127 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1121))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1121))))))))))))))))))))))))))))))))), x1121 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1120))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1120))))))))))))))))))))))))))))))))), x1120 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1124))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1124))))))))))))))))))))))))))))))))), x1124 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1128))))))))))))))))))))))))))))))))))) :|: x1128 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1128)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1135))))))))))))))))))))))))))))))))))) :|: x1135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1135)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1132))))))))))))))))))))))))))))))))))) :|: x1132 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1132)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1131))))))))))))))))))))))))))))))))))) :|: x1131 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1131)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1133))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1133))))))))))))))))))))))))))))))))), x1133 >= 0
   2'(z) -{ 2 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1134))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1134))))))))))))))))))))))))))))))))), x1134 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(1'(1'(3'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(2'(2'(0'(3'(3'(2'(1'(2'(3'(2'(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
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1459))))))))))))))))))))))))))))))))))) :|: x1459 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1459)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1466))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1466))))))))))))))))))))))))))))))))), x1466 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1460))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1460))))))))))))))))))))))))))))))))), x1460 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1462))))))))))))))))))))))))))))))))))) :|: x1462 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1462)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1463))))))))))))))))))))))))))))))))))) :|: x1463 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1463)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1467))))))))))))))))))))))))))))))))))) :|: x1467 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1467)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1464))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1464))))))))))))))))))))))))))))))))), x1464 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1458))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1458))))))))))))))))))))))))))))))))), x1458 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1457))))))))))))))))))))))))))))))))))) :|: x1457 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1457)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1461))))))))))))))))))))))))))))))))))) :|: x1461 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1461)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1465))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1465))))))))))))))))))))))))))))))))), x1465 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x1472))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1472))))))))))))))))))))))))))))))))), x1472 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x1469))))))))))))))))))))))))))))))))))) :|: x1469 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1469)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1468))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1468))))))))))))))))))))))))))))))))), x1468 >= 0
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x1470))))))))))))))))))))))))))))))))))) :|: x1470 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1470)))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x1471))))))))))))))))))))))))))))))))))) :|: x1471 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1471)))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(1'(2'(2'(3'(1'(0'(1'(1'(1'(1'(0'(2'(2'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(1'(0'(0'(2'(0'(3'(1'(2'(1'(1'(3'(2'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(0'(2'(2'(1'(3'(0'(2'(2'(3'(3'(3'(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
   2'(z) -{ 1 }-> 2'(0'(0'(2'(3'(3'(0'(2'(2'(1'(2'(3'(2'(3'(2'(1'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(2'(2'(1'(0'(2'(2'(0'(1'(1'(0'(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
   2'(z) -{ 1 }-> 0'(3'(2'(3'(1'(1'(0'(0'(1'(1'(0'(2'(1'(0'(2'(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 }-> 0'(2'(2'(2'(1'(2'(2'(3'(2'(1'(0'(1'(2'(1'(0'(2'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(2'(2'(3'(2'(2'(1'(3'(2'(1'(3'(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
   2'(z) -{ 1 }-> 0'(1'(0'(2'(2'(0'(3'(3'(2'(0'(2'(3'(1'(1'(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
   2'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(1'(1'(2'(3'(3'(2'(1'(2'(1'(1'(0'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(3'(3'(2'(2'(3'(0'(3'(3'(3'(3'(2'(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) -{ 1 }-> 3'(3'(3'(3'(2'(2'(1'(2'(0'(3'(2'(0'(0'(1'(1'(0'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(3'(2'(1'(0'(0'(0'(1'(0'(3'(3'(0'(3'(2'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(3'(0'(3'(3'(0'(1'(1'(1'(0'(0'(1'(2'(1'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(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
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x11352))))))))))))))))))))))))))))))))))) :|: x11352 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11352)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(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
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(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
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x11353))))))))))))))))))))))))))))))))))) :|: x11353 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11353)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x11350))))))))))))))))))))))))))))))))))) :|: x11350 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11350)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(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
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x11351))))))))))))))))))))))))))))))))))) :|: x11351 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11351)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x11358))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11358))))))))))))))))))))))))))))))))), x11358 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x11355))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11355))))))))))))))))))))))))))))))))), x11355 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x11354))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11354))))))))))))))))))))))))))))))))), x11354 >= 0
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x11356))))))))))))))))))))))))))))))))))) :|: x11356 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11356)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x11357))))))))))))))))))))))))))))))))))) :|: x11357 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11357)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(0'(2'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(3'(2'(1'(2'(1'(3'(0'(0'(2'(1'(2'(3'(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
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x11577))))))))))))))))))))))))))))))))))) :|: x11577 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11577)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x11584))))))))))))))))))))))))))))))))))) :|: x11584 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11584)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x11578))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11578))))))))))))))))))))))))))))))))), x11578 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x11580))))))))))))))))))))))))))))))))))) :|: x11580 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11580)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x11581))))))))))))))))))))))))))))))))))) :|: x11581 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11581)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x11585))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11585))))))))))))))))))))))))))))))))), x11585 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x11582))))))))))))))))))))))))))))))))))) :|: x11582 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11582)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x11576))))))))))))))))))))))))))))))))))) :|: x11576 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11576)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x11575))))))))))))))))))))))))))))))))))) :|: x11575 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11575)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x11579))))))))))))))))))))))))))))))))))) :|: x11579 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11579)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x11583))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11583))))))))))))))))))))))))))))))))), x11583 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x11590))))))))))))))))))))))))))))))))))) :|: x11590 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11590)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x11587))))))))))))))))))))))))))))))))))) :|: x11587 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11587)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x11586))))))))))))))))))))))))))))))))))) :|: x11586 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11586)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x11588))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11588))))))))))))))))))))))))))))))))), x11588 >= 0
   3'(z) -{ 2 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x11589))))))))))))))))))))))))))))))))))) :|: x11589 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11589)))))))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(2'(3'(1'(1'(2'(1'(3'(1'(3'(1'(3'(2'(0'(1'(1'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(2'(3'(1'(0'(3'(2'(1'(1'(2'(3'(0'(3'(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
   3'(z) -{ 1 }-> 3'(3'(2'(2'(2'(3'(0'(2'(2'(1'(3'(3'(0'(0'(0'(1'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(1'(1'(1'(0'(1'(1'(0'(3'(0'(3'(3'(3'(1'(3'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(3'(0'(0'(2'(3'(3'(0'(3'(1'(2'(2'(0'(0'(1'(1'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(3'(0'(3'(3'(3'(3'(0'(2'(0'(3'(3'(3'(1'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(3'(2'(2'(1'(1'(3'(1'(3'(0'(2'(2'(3'(3'(0'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(2'(1'(0'(2'(1'(0'(3'(3'(2'(3'(0'(1'(3'(2'(1'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x11019))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11019))))))))))))))))))))))))))))))))), x11019 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x11026))))))))))))))))))))))))))))))))))) :|: x11026 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11026)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x11020))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11020))))))))))))))))))))))))))))))))), x11020 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x11022))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11022))))))))))))))))))))))))))))))))), x11022 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x11023))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11023))))))))))))))))))))))))))))))))), x11023 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x11027))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11027))))))))))))))))))))))))))))))))), x11027 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x11024))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11024))))))))))))))))))))))))))))))))), x11024 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x11018))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11018))))))))))))))))))))))))))))))))), x11018 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(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
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x11021))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11021))))))))))))))))))))))))))))))))), x11021 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x11025))))))))))))))))))))))))))))))))))) :|: x11025 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11025)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x11032))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11032))))))))))))))))))))))))))))))))), x11032 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x11029))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11029))))))))))))))))))))))))))))))))), x11029 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x11028))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11028))))))))))))))))))))))))))))))))), x11028 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x11030))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11030))))))))))))))))))))))))))))))))), x11030 >= 0
   3'(z) -{ 2 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x11031))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11031))))))))))))))))))))))))))))))))), x11031 >= 0
   3'(z) -{ 1 }-> 3'(2'(1'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(2'(3'(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'(3'(3'(0'(0'(1'(3'(0'(1'(1'(0'(0'(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'(1'(2'(2'(2'(3'(3'(3'(3'(3'(3'(2'(0'(1'(3'(3'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(3'(3'(3'(3'(0'(0'(1'(1'(2'(3'(2'(2'(3'(2'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x1138))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1138))))))))))))))))))))))))))))))))), x1138 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x1145))))))))))))))))))))))))))))))))))) :|: x1145 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1145)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x1139))))))))))))))))))))))))))))))))))) :|: x1139 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1139)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x1141))))))))))))))))))))))))))))))))))) :|: x1141 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1141)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x1142))))))))))))))))))))))))))))))))))) :|: x1142 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1142)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x1146))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1146))))))))))))))))))))))))))))))))), x1146 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x1143))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1143))))))))))))))))))))))))))))))))), x1143 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x1137))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1137))))))))))))))))))))))))))))))))), x1137 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x1136))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1136))))))))))))))))))))))))))))))))), x1136 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x1140))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1140))))))))))))))))))))))))))))))))), x1140 >= 0
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x1144))))))))))))))))))))))))))))))))))) :|: x1144 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1144)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(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
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x1147))))))))))))))))))))))))))))))))))) :|: x1147 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1147)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(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)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(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
   3'(z) -{ 1 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(2'(0'(0'(2'(1'(1'(1'(0'(3'(2'(1'(1'(3'(3'(3'(3'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(2'(2'(3'(1'(1'(1'(0'(2'(0'(2'(0'(3'(0'(0'(1'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(2'(3'(3'(1'(3'(3'(1'(1'(0'(2'(2'(1'(1'(3'(1'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(1'(1'(1'(2'(0'(3'(0'(1'(0'(0'(1'(3'(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) -{ 1 }-> 3'(0'(1'(2'(3'(2'(1'(1'(2'(3'(3'(3'(2'(2'(1'(1'(2'(3'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(x11139))))))))))))))))))))))))))))))))))) :|: x11139 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11139)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(x11146))))))))))))))))))))))))))))))))))) :|: x11146 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11146)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(x11140))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11140))))))))))))))))))))))))))))))))), x11140 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(x11142))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11142))))))))))))))))))))))))))))))))), x11142 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(x11143))))))))))))))))))))))))))))))))))) :|: x11143 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11143)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(x11147))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11147))))))))))))))))))))))))))))))))), x11147 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(x11144))))))))))))))))))))))))))))))))))) :|: x11144 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11144)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(x11138))))))))))))))))))))))))))))))))))) :|: x11138 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11138)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(x11137))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11137))))))))))))))))))))))))))))))))), x11137 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(x11141))))))))))))))))))))))))))))))))))) :|: x11141 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11141)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(x11145))))))))))))))))))))))))))))))))))) :|: x11145 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11145)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(x11152))))))))))))))))))))))))))))))))))) :|: x11152 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11152)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(x11149))))))))))))))))))))))))))))))))))) :|: x11149 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11149)))))))))))))))))))))))))))))))))
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(x11148))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11148))))))))))))))))))))))))))))))))), x11148 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(x11150))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11150))))))))))))))))))))))))))))))))), x11150 >= 0
   3'(z) -{ 2 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(x11151))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11151))))))))))))))))))))))))))))))))), x11151 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(3'(2'(0'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 1 }-> 3'(0'(1'(1'(1'(3'(3'(3'(2'(3'(0'(3'(3'(3'(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
   3'(z) -{ 1 }-> 3'(0'(1'(1'(1'(3'(2'(2'(3'(0'(2'(3'(3'(0'(2'(1'(3'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 3'(3'(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> 3'(2'(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> 3'(1'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> 3'(0'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> 3'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(3'(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(3'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(3'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(3'(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(3'(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(3'(encArg(x_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(3'(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_3(z) -{ 0 }-> 3'(2'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_3(z) -{ 0 }-> 3'(0'(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_3(z) -{ 0 }-> 3'(0) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   0'(z) -{ 1 }-> 2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(z - 17)))))))))))))))))) :|: z - 17 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(2'(2'(1'(0'(1'(1'(1'(3'(2'(1'(3'(0'(0'(0'(0'(2'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(3'(2'(1'(3'(2'(1'(2'(0'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(2'(0'(2'(1'(0'(0'(3'(0'(0'(2'(1'(1'(1'(1'(2'(3'(3'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(2'(3'(0'(2'(0'(0'(3'(2'(1'(2'(0'(2'(2'(3'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(2'(2'(1'(0'(3'(2'(1'(0'(0'(3'(2'(1'(2'(1'(0'(0'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(2'(1'(0'(3'(0'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(2'(0'(0'(0'(1'(3'(3'(2'(1'(3'(3'(2'(1'(3'(0'(2'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(1'(1'(3'(0'(2'(2'(1'(2'(0'(3'(3'(2'(1'(0'(2'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(1'(1'(0'(3'(1'(1'(1'(1'(0'(2'(0'(0'(0'(0'(1'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(2'(0'(2'(0'(3'(0'(2'(1'(0'(2'(0'(1'(1'(3'(2'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(2'(0'(0'(2'(1'(0'(3'(2'(1'(2'(3'(2'(2'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(1'(3'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(0'(1'(0'(3'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(1'(2'(3'(0'(2'(3'(0'(1'(1'(3'(2'(1'(1'(3'(0'(0'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(0'(3'(2'(0'(0'(0'(1'(3'(2'(2'(0'(3'(2'(2'(1'(1'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 2 }-> 2'(1'(0'(0'(2'(1'(1'(1'(2'(1'(2'(2'(2'(1'(0'(3'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(1'(3'(3'(1'(1'(1'(0'(0'(2'(z - 34))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
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   encode_1(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 2'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0) :|: z >= 0
   encode_2(z) -{ 0 }-> 0 :|: z >= 0
   encode_3(z) -{ 0 }-> 3'(3'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_3(z) -{ 0 }-> 3'(0) :|: z >= 0
   encode_3(z) -{ 0 }-> 0 :|: z >= 0


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

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

   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_3(v0) -> null_encode_3 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]

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

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

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

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

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

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

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

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

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

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

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

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

Only complete derivations are relevant for the runtime complexity.

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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c5(3'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c8
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> c20(0'(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))))), 0'(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))), 1'(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))), 2'(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))), 3'(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))), 0'(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))), 2'(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))), 3'(0(1(1(3(2(1(1(3(0(0(z0))))))))))), 0'(1(1(3(2(1(1(3(0(0(z0)))))))))), 1'(1(3(2(1(1(3(0(0(z0))))))))), 1'(3(2(1(1(3(0(0(z0)))))))), 3'(2(1(1(3(0(0(z0))))))), 2'(1(1(3(0(0(z0)))))), 1'(1(3(0(0(z0))))), 1'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> c21(0'(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))))), 0'(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))), 1'(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))), 3'(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))), 2'(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))), 1'(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))), 1'(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))), 1'(2(1(1(1(0(1(0(1(0(3(z0))))))))))), 2'(1(1(1(0(1(0(1(0(3(z0)))))))))), 1'(1(1(0(1(0(1(0(3(z0))))))))), 1'(1(0(1(0(1(0(3(z0)))))))), 1'(0(1(0(1(0(3(z0))))))), 0'(1(0(1(0(3(z0)))))), 1'(0(1(0(3(z0))))), 0'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c22(0'(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))))))), 0'(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))), 0'(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))))), 3'(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))), 2'(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))), 0'(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))), 0'(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))), 0'(1(3(2(2(0(3(2(2(1(1(z0))))))))))), 1'(3(2(2(0(3(2(2(1(1(z0)))))))))), 3'(2(2(0(3(2(2(1(1(z0))))))))), 2'(2(0(3(2(2(1(1(z0)))))))), 2'(0(3(2(2(1(1(z0))))))), 0'(3(2(2(1(1(z0)))))), 3'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> c23(0'(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0)))))))))))))))))), 0'(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))), 0'(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0)))))))))))))))), 2'(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))), 1'(0(0(1(1(1(3(3(1(1(1(0(0(2(z0)))))))))))))), 0'(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))), 0'(1(1(1(3(3(1(1(1(0(0(2(z0)))))))))))), 1'(1(1(3(3(1(1(1(0(0(2(z0))))))))))), 1'(1(3(3(1(1(1(0(0(2(z0)))))))))), 1'(3(3(1(1(1(0(0(2(z0))))))))), 3'(3(1(1(1(0(0(2(z0)))))))), 3'(1(1(1(0(0(2(z0))))))), 1'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> c24(0'(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0)))))))))))))))))), 0'(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))), 2'(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0)))))))))))))))), 0'(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))), 0'(2(1(0(3(2(1(2(3(2(2(1(0(3(z0)))))))))))))), 2'(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))), 1'(0(3(2(1(2(3(2(2(1(0(3(z0)))))))))))), 0'(3(2(1(2(3(2(2(1(0(3(z0))))))))))), 3'(2(1(2(3(2(2(1(0(3(z0)))))))))), 2'(1(2(3(2(2(1(0(3(z0))))))))), 1'(2(3(2(2(1(0(3(z0)))))))), 2'(3(2(2(1(0(3(z0))))))), 3'(2(2(1(0(3(z0)))))), 2'(2(1(0(3(z0))))), 2'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   1'(z0) -> c25
   1'(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> c26(1'(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0)))))))))))))))))), 1'(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))), 1'(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0)))))))))))))))), 3'(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))), 3'(0(2(1(1(3(0(0(0(0(2(3(0(2(z0)))))))))))))), 0'(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))), 2'(1(1(3(0(0(0(0(2(3(0(2(z0)))))))))))), 1'(1(3(0(0(0(0(2(3(0(2(z0))))))))))), 1'(3(0(0(0(0(2(3(0(2(z0)))))))))), 3'(0(0(0(0(2(3(0(2(z0))))))))), 0'(0(0(0(2(3(0(2(z0)))))))), 0'(0(0(2(3(0(2(z0))))))), 0'(0(2(3(0(2(z0)))))), 0'(2(3(0(2(z0))))), 2'(3(0(2(z0)))), 3'(0(2(z0))), 0'(2(z0)), 2'(z0))
   1'(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> c27(1'(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0)))))))))))))))))), 1'(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))), 0'(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0)))))))))))))))), 3'(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))), 3'(2(1(1(3(0(1(0(0(1(3(2(2(2(z0)))))))))))))), 2'(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))), 1'(1(3(0(1(0(0(1(3(2(2(2(z0)))))))))))), 1'(3(0(1(0(0(1(3(2(2(2(z0))))))))))), 3'(0(1(0(0(1(3(2(2(2(z0)))))))))), 0'(1(0(0(1(3(2(2(2(z0))))))))), 1'(0(0(1(3(2(2(2(z0)))))))), 0'(0(1(3(2(2(2(z0))))))), 0'(1(3(2(2(2(z0)))))), 1'(3(2(2(2(z0))))), 3'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   1'(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> c28(1'(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0)))))))))))))))))), 3'(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))), 1'(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0)))))))))))))))), 0'(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))), 2'(2(3(0(2(0(2(3(0(2(1(1(1(0(z0)))))))))))))), 2'(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))), 3'(0(2(0(2(3(0(2(1(1(1(0(z0)))))))))))), 0'(2(0(2(3(0(2(1(1(1(0(z0))))))))))), 2'(0(2(3(0(2(1(1(1(0(z0)))))))))), 0'(2(3(0(2(1(1(1(0(z0))))))))), 2'(3(0(2(1(1(1(0(z0)))))))), 3'(0(2(1(1(1(0(z0))))))), 0'(2(1(1(1(0(z0)))))), 2'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> c29(1'(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0)))))))))))))))))), 0'(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))), 1'(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0)))))))))))))))), 1'(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))), 1'(3(1(1(0(0(3(2(3(2(0(3(3(2(z0)))))))))))))), 3'(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))), 1'(1(0(0(3(2(3(2(0(3(3(2(z0)))))))))))), 1'(0(0(3(2(3(2(0(3(3(2(z0))))))))))), 0'(0(3(2(3(2(0(3(3(2(z0)))))))))), 0'(3(2(3(2(0(3(3(2(z0))))))))), 3'(2(3(2(0(3(3(2(z0)))))))), 2'(3(2(0(3(3(2(z0))))))), 3'(2(0(3(3(2(z0)))))), 2'(0(3(3(2(z0))))), 0'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   1'(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> c30(1'(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0)))))))))))))))))), 0'(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))), 2'(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0)))))))))))))))), 0'(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))), 3'(0(2(1(2(2(1(1(0(3(0(3(2(0(z0)))))))))))))), 0'(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))), 2'(1(2(2(1(1(0(3(0(3(2(0(z0)))))))))))), 1'(2(2(1(1(0(3(0(3(2(0(z0))))))))))), 2'(2(1(1(0(3(0(3(2(0(z0)))))))))), 2'(1(1(0(3(0(3(2(0(z0))))))))), 1'(1(0(3(0(3(2(0(z0)))))))), 1'(0(3(0(3(2(0(z0))))))), 0'(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))
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   2'(z0) -> c48
   2'(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> c49(0'(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0)))))))))))))))))), 2'(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))), 2'(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0)))))))))))))))), 2'(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))), 1'(2(2(3(2(1(0(1(2(1(0(2(0(2(z0)))))))))))))), 2'(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))), 2'(3(2(1(0(1(2(1(0(2(0(2(z0)))))))))))), 3'(2(1(0(1(2(1(0(2(0(2(z0))))))))))), 2'(1(0(1(2(1(0(2(0(2(z0)))))))))), 1'(0(1(2(1(0(2(0(2(z0))))))))), 0'(1(2(1(0(2(0(2(z0)))))))), 1'(2(1(0(2(0(2(z0))))))), 2'(1(0(2(0(2(z0)))))), 1'(0(2(0(2(z0))))), 0'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> c50(2'(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0)))))))))))))))))), 0'(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))), 2'(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0)))))))))))))))), 2'(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))), 2'(0(3(3(2(1(2(3(2(1(1(3(0(0(z0)))))))))))))), 0'(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))), 3'(3(2(1(2(3(2(1(1(3(0(0(z0)))))))))))), 3'(2(1(2(3(2(1(1(3(0(0(z0))))))))))), 2'(1(2(3(2(1(1(3(0(0(z0)))))))))), 1'(2(3(2(1(1(3(0(0(z0))))))))), 2'(3(2(1(1(3(0(0(z0)))))))), 3'(2(1(1(3(0(0(z0))))))), 2'(1(1(3(0(0(z0)))))), 1'(1(3(0(0(z0))))), 1'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> c51(2'(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0)))))))))))))))))), 0'(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))), 3'(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0)))))))))))))))), 2'(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))), 0'(3(3(3(3(3(0(0(2(0(2(3(3(3(z0)))))))))))))), 3'(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))), 3'(3(3(3(0(0(2(0(2(3(3(3(z0)))))))))))), 3'(3(3(0(0(2(0(2(3(3(3(z0))))))))))), 3'(3(0(0(2(0(2(3(3(3(z0)))))))))), 3'(0(0(2(0(2(3(3(3(z0))))))))), 0'(0(2(0(2(3(3(3(z0)))))))), 0'(2(0(2(3(3(3(z0))))))), 2'(0(2(3(3(3(z0)))))), 0'(2(3(3(3(z0))))), 2'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> c52(0'(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0)))))))))))))))))), 3'(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))), 2'(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0)))))))))))))))), 3'(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))), 1'(1(0(0(1(1(0(2(1(0(2(0(2(2(z0)))))))))))))), 1'(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))), 0'(0(1(1(0(2(1(0(2(0(2(2(z0)))))))))))), 0'(1(1(0(2(1(0(2(0(2(2(z0))))))))))), 1'(1(0(2(1(0(2(0(2(2(z0)))))))))), 1'(0(2(1(0(2(0(2(2(z0))))))))), 0'(2(1(0(2(0(2(2(z0)))))))), 2'(1(0(2(0(2(2(z0))))))), 1'(0(2(0(2(2(z0)))))), 0'(2(0(2(2(z0))))), 2'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> c53(2'(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0)))))))))))))))))), 0'(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))), 1'(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0)))))))))))))))), 1'(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))), 2'(2(3(1(0(1(1(1(1(0(2(2(3(0(z0)))))))))))))), 2'(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))), 3'(1(0(1(1(1(1(0(2(2(3(0(z0)))))))))))), 1'(0(1(1(1(1(0(2(2(3(0(z0))))))))))), 0'(1(1(1(1(0(2(2(3(0(z0)))))))))), 1'(1(1(1(0(2(2(3(0(z0))))))))), 1'(1(1(0(2(2(3(0(z0)))))))), 1'(1(0(2(2(3(0(z0))))))), 1'(0(2(2(3(0(z0)))))), 0'(2(2(3(0(z0))))), 2'(2(3(0(z0)))), 2'(3(0(z0))), 3'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> c54(2'(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0)))))))))))))))))), 0'(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))), 1'(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0)))))))))))))))), 0'(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))), 2'(2(1(3(0(2(2(3(3(3(1(3(2(1(z0)))))))))))))), 2'(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))), 1'(3(0(2(2(3(3(3(1(3(2(1(z0)))))))))))), 3'(0(2(2(3(3(3(1(3(2(1(z0))))))))))), 0'(2(2(3(3(3(1(3(2(1(z0)))))))))), 2'(2(3(3(3(1(3(2(1(z0))))))))), 2'(3(3(3(1(3(2(1(z0)))))))), 3'(3(3(1(3(2(1(z0))))))), 3'(3(1(3(2(1(z0)))))), 3'(1(3(2(1(z0))))), 1'(3(2(1(z0)))), 3'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> c55(0'(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0)))))))))))))))))), 0'(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))), 0'(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0)))))))))))))))), 1'(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))), 0'(0(1(1(2(3(3(2(1(2(1(1(0(2(z0)))))))))))))), 0'(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))), 1'(1(2(3(3(2(1(2(1(1(0(2(z0)))))))))))), 1'(2(3(3(2(1(2(1(1(0(2(z0))))))))))), 2'(3(3(2(1(2(1(1(0(2(z0)))))))))), 3'(3(2(1(2(1(1(0(2(z0))))))))), 3'(2(1(2(1(1(0(2(z0)))))))), 2'(1(2(1(1(0(2(z0))))))), 1'(2(1(1(0(2(z0)))))), 2'(1(1(0(2(z0))))), 1'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> c56(2'(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0)))))))))))))))))), 0'(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))), 1'(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0)))))))))))))))), 1'(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))), 0'(0(2(0(3(1(2(1(1(3(2(1(2(1(z0)))))))))))))), 0'(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))), 2'(0(3(1(2(1(1(3(2(1(2(1(z0)))))))))))), 0'(3(1(2(1(1(3(2(1(2(1(z0))))))))))), 3'(1(2(1(1(3(2(1(2(1(z0)))))))))), 1'(2(1(1(3(2(1(2(1(z0))))))))), 2'(1(1(3(2(1(2(1(z0)))))))), 1'(1(3(2(1(2(1(z0))))))), 1'(3(2(1(2(1(z0)))))), 3'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> c57(2'(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0)))))))))))))))))), 3'(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))), 0'(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0)))))))))))))))), 0'(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))), 0'(0(3(0(0(2(1(2(1(1(0(2(1(0(z0)))))))))))))), 0'(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))), 3'(0(0(2(1(2(1(1(0(2(1(0(z0)))))))))))), 0'(0(2(1(2(1(1(0(2(1(0(z0))))))))))), 0'(2(1(2(1(1(0(2(1(0(z0)))))))))), 2'(1(2(1(1(0(2(1(0(z0))))))))), 1'(2(1(1(0(2(1(0(z0)))))))), 2'(1(1(0(2(1(0(z0))))))), 1'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   2'(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> c60(2'(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0)))))))))))))))))), 0'(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))), 0'(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0)))))))))))))))), 2'(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))), 3'(3(0(2(2(1(2(3(2(3(2(1(2(1(z0)))))))))))))), 3'(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))), 0'(2(2(1(2(3(2(3(2(1(2(1(z0)))))))))))), 2'(2(1(2(3(2(3(2(1(2(1(z0))))))))))), 2'(1(2(3(2(3(2(1(2(1(z0)))))))))), 1'(2(3(2(3(2(1(2(1(z0))))))))), 2'(3(2(3(2(1(2(1(z0)))))))), 3'(2(3(2(1(2(1(z0))))))), 2'(3(2(1(2(1(z0)))))), 3'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c61(2'(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0)))))))))))))))))), 1'(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))), 2'(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0)))))))))))))))), 3'(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))), 3'(1(1(1(2(1(2(0(0(2(2(1(2(1(z0)))))))))))))), 1'(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))), 1'(1(2(1(2(0(0(2(2(1(2(1(z0)))))))))))), 1'(2(1(2(0(0(2(2(1(2(1(z0))))))))))), 2'(1(2(0(0(2(2(1(2(1(z0)))))))))), 1'(2(0(0(2(2(1(2(1(z0))))))))), 2'(0(0(2(2(1(2(1(z0)))))))), 0'(0(2(2(1(2(1(z0))))))), 0'(2(2(1(2(1(z0)))))), 2'(2(1(2(1(z0))))), 2'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> c62(2'(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0)))))))))))))))))), 3'(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))), 3'(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0)))))))))))))))), 3'(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))), 3'(2(1(0(1(0(0(3(2(1(3(0(0(3(z0)))))))))))))), 2'(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))), 1'(0(1(0(0(3(2(1(3(0(0(3(z0)))))))))))), 0'(1(0(0(3(2(1(3(0(0(3(z0))))))))))), 1'(0(0(3(2(1(3(0(0(3(z0)))))))))), 0'(0(3(2(1(3(0(0(3(z0))))))))), 0'(3(2(1(3(0(0(3(z0)))))))), 3'(2(1(3(0(0(3(z0))))))), 2'(1(3(0(0(3(z0)))))), 1'(3(0(0(3(z0))))), 3'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   2'(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> c63(0'(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0)))))))))))))))))), 1'(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))), 0'(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0)))))))))))))))), 2'(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))), 2'(0(3(3(2(0(2(3(1(1(1(1(3(3(z0)))))))))))))), 0'(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))), 3'(3(2(0(2(3(1(1(1(1(3(3(z0)))))))))))), 3'(2(0(2(3(1(1(1(1(3(3(z0))))))))))), 2'(0(2(3(1(1(1(1(3(3(z0)))))))))), 0'(2(3(1(1(1(1(3(3(z0))))))))), 2'(3(1(1(1(1(3(3(z0)))))))), 3'(1(1(1(1(3(3(z0))))))), 1'(1(1(1(3(3(z0)))))), 1'(1(1(3(3(z0))))), 1'(1(3(3(z0)))), 1'(3(3(z0))), 3'(3(z0)), 3'(z0))
   2'(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> c64(2'(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0)))))))))))))))))), 1'(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))), 3'(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0)))))))))))))))), 1'(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))), 2'(2(3(0(2(1(1(1(1(3(3(3(3(1(z0)))))))))))))), 2'(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))), 3'(0(2(1(1(1(1(3(3(3(3(1(z0)))))))))))), 0'(2(1(1(1(1(3(3(3(3(1(z0))))))))))), 2'(1(1(1(1(3(3(3(3(1(z0)))))))))), 1'(1(1(1(3(3(3(3(1(z0))))))))), 1'(1(1(3(3(3(3(1(z0)))))))), 1'(1(3(3(3(3(1(z0))))))), 1'(3(3(3(3(1(z0)))))), 3'(3(3(3(1(z0))))), 3'(3(3(1(z0)))), 3'(3(1(z0))), 3'(1(z0)), 1'(z0))
   2'(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> c65(2'(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0)))))))))))))))))), 0'(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))), 0'(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0)))))))))))))))), 2'(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))), 2'(1(0(2(2(0(1(1(0(3(3(1(1(1(z0)))))))))))))), 1'(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))), 0'(2(2(0(1(1(0(3(3(1(1(1(z0)))))))))))), 2'(2(0(1(1(0(3(3(1(1(1(z0))))))))))), 2'(0(1(1(0(3(3(1(1(1(z0)))))))))), 0'(1(1(0(3(3(1(1(1(z0))))))))), 1'(1(0(3(3(1(1(1(z0)))))))), 1'(0(3(3(1(1(1(z0))))))), 0'(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))
   2'(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> c66(2'(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0)))))))))))))))))), 3'(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))), 3'(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0)))))))))))))))), 3'(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))), 0'(2(0(2(1(3(2(1(3(1(1(0(2(2(z0)))))))))))))), 2'(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))), 0'(2(1(3(2(1(3(1(1(0(2(2(z0)))))))))))), 2'(1(3(2(1(3(1(1(0(2(2(z0))))))))))), 1'(3(2(1(3(1(1(0(2(2(z0)))))))))), 3'(2(1(3(1(1(0(2(2(z0))))))))), 2'(1(3(1(1(0(2(2(z0)))))))), 1'(3(1(1(0(2(2(z0))))))), 3'(1(1(0(2(2(z0)))))), 1'(1(0(2(2(z0))))), 1'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c67(2'(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0)))))))))))))))))), 2'(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))), 3'(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0)))))))))))))))), 2'(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))), 3'(2(2(1(1(1(3(2(2(1(3(2(3(3(z0)))))))))))))), 2'(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))), 2'(1(1(1(3(2(2(1(3(2(3(3(z0)))))))))))), 1'(1(1(3(2(2(1(3(2(3(3(z0))))))))))), 1'(1(3(2(2(1(3(2(3(3(z0)))))))))), 1'(3(2(2(1(3(2(3(3(z0))))))))), 3'(2(2(1(3(2(3(3(z0)))))))), 2'(2(1(3(2(3(3(z0))))))), 2'(1(3(2(3(3(z0)))))), 1'(3(2(3(3(z0))))), 3'(2(3(3(z0)))), 2'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(z0) -> c68
   3'(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> c69(3'(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0)))))))))))))))))), 1'(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))), 2'(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0)))))))))))))))), 2'(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))), 3'(1(1(1(0(2(0(2(0(3(0(0(1(1(z0)))))))))))))), 1'(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))), 1'(1(0(2(0(2(0(3(0(0(1(1(z0)))))))))))), 1'(0(2(0(2(0(3(0(0(1(1(z0))))))))))), 0'(2(0(2(0(3(0(0(1(1(z0)))))))))), 2'(0(2(0(3(0(0(1(1(z0))))))))), 0'(2(0(3(0(0(1(1(z0)))))))), 2'(0(3(0(0(1(1(z0))))))), 0'(3(0(0(1(1(z0)))))), 3'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> c70(3'(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0)))))))))))))))))), 3'(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))), 1'(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0)))))))))))))))), 1'(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))), 1'(0(1(1(0(3(0(3(3(3(1(3(3(2(z0)))))))))))))), 0'(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))), 1'(1(0(3(0(3(3(3(1(3(3(2(z0)))))))))))), 1'(0(3(0(3(3(3(1(3(3(2(z0))))))))))), 0'(3(0(3(3(3(1(3(3(2(z0)))))))))), 3'(0(3(3(3(1(3(3(2(z0))))))))), 0'(3(3(3(1(3(3(2(z0)))))))), 3'(3(3(1(3(3(2(z0))))))), 3'(3(1(3(3(2(z0)))))), 3'(1(3(3(2(z0))))), 1'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> c71(3'(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0)))))))))))))))))), 2'(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))), 0'(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0)))))))))))))))), 0'(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))), 2'(1(1(1(0(3(2(1(1(3(3(3(3(0(z0)))))))))))))), 1'(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))), 1'(1(0(3(2(1(1(3(3(3(3(0(z0)))))))))))), 1'(0(3(2(1(1(3(3(3(3(0(z0))))))))))), 0'(3(2(1(1(3(3(3(3(0(z0)))))))))), 3'(2(1(1(3(3(3(3(0(z0))))))))), 2'(1(1(3(3(3(3(0(z0)))))))), 1'(1(3(3(3(3(0(z0))))))), 1'(3(3(3(3(0(z0)))))), 3'(3(3(3(0(z0))))), 3'(3(3(0(z0)))), 3'(3(0(z0))), 3'(0(z0)), 0'(z0))
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   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
S tuples:
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   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 1_1, 2_1, 0_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, c25, 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_18, c48, 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_18, c68, 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:
   3'(z0) -> c68
   1'(z0) -> c25
   0'(z0) -> c8
   2'(z0) -> c48

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c5(3'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)), ENCARG(z0))
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   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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S tuples:
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   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 1_1, 2_1, 0_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_0(z0) -> c8(ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_3(z0) -> c8(ENCARG(z0))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_1(z0) -> c8(ENCARG(z0))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCODE_2(z0) -> c8(ENCARG(z0))
S tuples:
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   3'(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> c79(3'(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))))))), 3'(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))), 3'(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))))), 3'(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))), 2'(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))), 2'(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))), 1'(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))), 2'(0(3(2(0(0(1(1(0(3(2(z0))))))))))), 0'(3(2(0(0(1(1(0(3(2(z0)))))))))), 3'(2(0(0(1(1(0(3(2(z0))))))))), 2'(0(0(1(1(0(3(2(z0)))))))), 0'(0(1(1(0(3(2(z0))))))), 0'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c80(3'(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))))), 0'(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))), 1'(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))), 2'(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))), 3'(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))), 2'(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))), 1'(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))), 1'(2(3(3(3(2(2(1(1(2(3(z0))))))))))), 2'(3(3(3(2(2(1(1(2(3(z0)))))))))), 3'(3(3(2(2(1(1(2(3(z0))))))))), 3'(3(2(2(1(1(2(3(z0)))))))), 3'(2(2(1(1(2(3(z0))))))), 2'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 1_1, 2_1, 0_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

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

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
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   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   3_1, 1_1, 2_1, 0_1, encArg_1, encode_0_1, encode_3_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_18, c69_18, c70_18, c71_18, c72_18, c73_18, c74_18, c75_18, c76_18, c77_18, c78_18, c79_18, c80_18, c81_18, c82_18, c83_18, c84_18, c85_18, c86_18, c87_18, c88_18, c89_18, c90_18, c91_18, c8_1


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

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

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> c79(3'(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))))))), 3'(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))), 3'(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))))), 3'(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))), 2'(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))), 2'(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))), 1'(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))), 2'(0(3(2(0(0(1(1(0(3(2(z0))))))))))), 0'(3(2(0(0(1(1(0(3(2(z0)))))))))), 3'(2(0(0(1(1(0(3(2(z0))))))))), 2'(0(0(1(1(0(3(2(z0)))))))), 0'(0(1(1(0(3(2(z0))))))), 0'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c80(3'(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))))), 0'(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))), 1'(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))), 2'(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))), 3'(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))), 2'(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))), 1'(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))), 1'(2(3(3(3(2(2(1(1(2(3(z0))))))))))), 2'(3(3(3(2(2(1(1(2(3(z0)))))))))), 3'(3(3(2(2(1(1(2(3(z0))))))))), 3'(3(2(2(1(1(2(3(z0)))))))), 3'(2(2(1(1(2(3(z0))))))), 2'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
S tuples:
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   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_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_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
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   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c1_2, c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_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_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> c79(3'(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))))))), 3'(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))), 3'(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))))), 3'(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))), 2'(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))), 2'(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))), 1'(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))), 2'(0(3(2(0(0(1(1(0(3(2(z0))))))))))), 0'(3(2(0(0(1(1(0(3(2(z0)))))))))), 3'(2(0(0(1(1(0(3(2(z0))))))))), 2'(0(0(1(1(0(3(2(z0)))))))), 0'(0(1(1(0(3(2(z0))))))), 0'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c80(3'(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))))), 0'(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))), 1'(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))), 2'(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))), 3'(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))), 2'(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))), 1'(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))), 1'(2(3(3(3(2(2(1(1(2(3(z0))))))))))), 2'(3(3(3(2(2(1(1(2(3(z0)))))))))), 3'(3(3(2(2(1(1(2(3(z0))))))))), 3'(3(2(2(1(1(2(3(z0)))))))), 3'(2(2(1(1(2(3(z0))))))), 2'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
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   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c2_2, c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_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_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c3_2, c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_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_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> c20(0'(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))))), 0'(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))), 1'(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))), 2'(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))), 3'(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))), 0'(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))), 2'(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))), 3'(0(1(1(3(2(1(1(3(0(0(z0))))))))))), 0'(1(1(3(2(1(1(3(0(0(z0)))))))))), 1'(1(3(2(1(1(3(0(0(z0))))))))), 1'(3(2(1(1(3(0(0(z0)))))))), 3'(2(1(1(3(0(0(z0))))))), 2'(1(1(3(0(0(z0)))))), 1'(1(3(0(0(z0))))), 1'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> c21(0'(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))))), 0'(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))), 1'(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))), 3'(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))), 2'(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))), 1'(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))), 1'(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))), 1'(2(1(1(1(0(1(0(1(0(3(z0))))))))))), 2'(1(1(1(0(1(0(1(0(3(z0)))))))))), 1'(1(1(0(1(0(1(0(3(z0))))))))), 1'(1(0(1(0(1(0(3(z0)))))))), 1'(0(1(0(1(0(3(z0))))))), 0'(1(0(1(0(3(z0)))))), 1'(0(1(0(3(z0))))), 0'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> c79(3'(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))))))), 3'(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))), 3'(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))))), 3'(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))), 2'(2(1(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))))), 2'(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))), 1'(2(0(3(2(0(0(1(1(0(3(2(z0)))))))))))), 2'(0(3(2(0(0(1(1(0(3(2(z0))))))))))), 0'(3(2(0(0(1(1(0(3(2(z0)))))))))), 3'(2(0(0(1(1(0(3(2(z0))))))))), 2'(0(0(1(1(0(3(2(z0)))))))), 0'(0(1(1(0(3(2(z0))))))), 0'(1(1(0(3(2(z0)))))), 1'(1(0(3(2(z0))))), 1'(0(3(2(z0)))), 0'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c80(3'(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))))), 0'(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))), 1'(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))), 2'(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))), 3'(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))), 2'(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))), 1'(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))), 1'(2(3(3(3(2(2(1(1(2(3(z0))))))))))), 2'(3(3(3(2(2(1(1(2(3(z0)))))))))), 3'(3(3(2(2(1(1(2(3(z0))))))))), 3'(3(2(2(1(1(2(3(z0)))))))), 3'(2(2(1(1(2(3(z0))))))), 2'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
S tuples:
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> c20(0'(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))))), 0'(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))), 1'(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))), 2'(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))), 3'(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))), 0'(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))), 2'(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))), 3'(0(1(1(3(2(1(1(3(0(0(z0))))))))))), 0'(1(1(3(2(1(1(3(0(0(z0)))))))))), 1'(1(3(2(1(1(3(0(0(z0))))))))), 1'(3(2(1(1(3(0(0(z0)))))))), 3'(2(1(1(3(0(0(z0))))))), 2'(1(1(3(0(0(z0)))))), 1'(1(3(0(0(z0))))), 1'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c9_18, c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_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_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(z0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(z0))))))))))), 2'(0(3(3(2(1(0(2(0(3(z0)))))))))), 0'(3(3(2(1(0(2(0(3(z0))))))))), 3'(3(2(1(0(2(0(3(z0)))))))), 3'(2(1(0(2(0(3(z0))))))), 2'(1(0(2(0(3(z0)))))), 1'(0(2(0(3(z0))))), 0'(2(0(3(z0)))), 2'(0(3(z0))), 0'(3(z0)), 3'(z0)) by 
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(c_1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(c_1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(c_3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(c_0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(c_2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(c_2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(c_1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(c_2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(c_0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(c_3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 2'(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 3'(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))), 3'(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))), 2'(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))), 1'(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))), 2'(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))), 3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> c20(0'(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))))), 0'(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))), 1'(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))), 2'(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))), 3'(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))), 0'(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))), 2'(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))), 3'(0(1(1(3(2(1(1(3(0(0(z0))))))))))), 0'(1(1(3(2(1(1(3(0(0(z0)))))))))), 1'(1(3(2(1(1(3(0(0(z0))))))))), 1'(3(2(1(1(3(0(0(z0)))))))), 3'(2(1(1(3(0(0(z0))))))), 2'(1(1(3(0(0(z0)))))), 1'(1(3(0(0(z0))))), 1'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> c21(0'(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))))), 0'(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))), 1'(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))), 3'(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))), 2'(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))), 1'(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))), 1'(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))), 1'(2(1(1(1(0(1(0(1(0(3(z0))))))))))), 2'(1(1(1(0(1(0(1(0(3(z0)))))))))), 1'(1(1(0(1(0(1(0(3(z0))))))))), 1'(1(0(1(0(1(0(3(z0)))))))), 1'(0(1(0(1(0(3(z0))))))), 0'(1(0(1(0(3(z0)))))), 1'(0(1(0(3(z0))))), 0'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
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   3'(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> c80(3'(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))))), 0'(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))), 1'(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))))), 2'(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))), 3'(2(1(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))))), 2'(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))), 1'(1(2(3(3(3(2(2(1(1(2(3(z0)))))))))))), 1'(2(3(3(3(2(2(1(1(2(3(z0))))))))))), 2'(3(3(3(2(2(1(1(2(3(z0)))))))))), 3'(3(3(2(2(1(1(2(3(z0))))))))), 3'(3(2(2(1(1(2(3(z0)))))))), 3'(2(2(1(1(2(3(z0))))))), 2'(2(1(1(2(3(z0)))))), 2'(1(1(2(3(z0))))), 1'(1(2(3(z0)))), 1'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
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   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(c_2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(c_0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 2'(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 3'(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))), 3'(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))), 2'(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))), 1'(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))), 2'(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))), 3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))
S tuples:
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   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> c20(0'(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))))), 0'(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))), 1'(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))), 2'(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))), 3'(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))), 0'(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))), 2'(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))), 3'(0(1(1(3(2(1(1(3(0(0(z0))))))))))), 0'(1(1(3(2(1(1(3(0(0(z0)))))))))), 1'(1(3(2(1(1(3(0(0(z0))))))))), 1'(3(2(1(1(3(0(0(z0)))))))), 3'(2(1(1(3(0(0(z0))))))), 2'(1(1(3(0(0(z0)))))), 1'(1(3(0(0(z0))))), 1'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> c21(0'(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))))), 0'(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))), 1'(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))), 3'(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))), 2'(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))), 1'(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))), 1'(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))), 1'(2(1(1(1(0(1(0(1(0(3(z0))))))))))), 2'(1(1(1(0(1(0(1(0(3(z0)))))))))), 1'(1(1(0(1(0(1(0(3(z0))))))))), 1'(1(0(1(0(1(0(3(z0)))))))), 1'(0(1(0(1(0(3(z0))))))), 0'(1(0(1(0(3(z0)))))), 1'(0(1(0(3(z0))))), 0'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c22(0'(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))))))), 0'(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))), 0'(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))))), 3'(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))), 2'(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))), 0'(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))), 0'(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))), 0'(1(3(2(2(0(3(2(2(1(1(z0))))))))))), 1'(3(2(2(0(3(2(2(1(1(z0)))))))))), 3'(2(2(0(3(2(2(1(1(z0))))))))), 2'(2(0(3(2(2(1(1(z0)))))))), 2'(0(3(2(2(1(1(z0))))))), 0'(3(2(2(1(1(z0)))))), 3'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0))))))))))))))))))))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0))))))))))))))))))))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0))))))))))))))))))))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0))))))))))))))))))))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))))))))))))), 2'(0(3(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0))))))))))))))))))))))))))), 0'(3(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))))))))))), 3'(3(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0))))))))))))))))))))))))), 3'(2(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))))))))), 2'(1(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0))))))))))))))))))))))), 1'(0(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))))))), 0'(2(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0))))))))))))))))))))), 2'(0(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))))), 0'(3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0))))))))))))))))))), 3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))), 2'(0(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))), 0'(3(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))), 3'(3(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))), 3'(2(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))), 2'(1(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))), 1'(0(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))), 0'(2(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))))), 2'(0(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))), 0'(3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0))))))))))))))))))), 3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c10_18, c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_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_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(z0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(z0))))))))))), 2'(1(3(3(2(1(3(0(2(1(z0)))))))))), 1'(3(3(2(1(3(0(2(1(z0))))))))), 3'(3(2(1(3(0(2(1(z0)))))))), 3'(2(1(3(0(2(1(z0))))))), 2'(1(3(0(2(1(z0)))))), 1'(3(0(2(1(z0))))), 3'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) by 
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(c_2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(c_0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(c_0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(c_0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(c_1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(1(c_3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(c_3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(c_2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(c_1(3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(c_3(3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(c_3(2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(c_2(1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(c_1(3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(x0)))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(c_3(0(2(1(x0)))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(x0))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(x0)))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(x0))))))))))), 2'(1(3(3(2(1(3(0(2(1(x0)))))))))), 1'(3(3(2(1(3(0(2(1(x0))))))))), 3'(3(2(1(3(0(2(1(x0)))))))), 3'(2(1(3(0(2(1(x0))))))), 2'(1(3(0(2(1(x0)))))), 1'(3(0(2(1(x0))))), 3'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
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   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))))), 2'(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))), 1'(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))), 3'(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))), 3'(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))), 2'(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))), 1'(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))), 3'(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))), 0'(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))), 2'(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))), 1'(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))), 2'(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))), 1'(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))), 3'(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))), 3'(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))), 2'(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))), 1'(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))), 3'(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))), 0'(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))), 2'(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))), 1'(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(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_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(z0)))))))))))))))))) -> 0(1(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(z0)))))))))))))))))) -> 0(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> 2(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> 2(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))))
   0(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 2(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> 0(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> 0(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))))
   0(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> 0(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> 2(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> 0(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))))
   0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> 0(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))))
   0(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> 0(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_3(c_1(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(2(1(0(0(1(1(1(3(3(1(1(1(0(0(2(z0))))))))))))))))))
   0(c_2(c_0(c_2(c_1(c_3(c_0(c_2(c_3(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_3(z0)))))))))))))))))) -> 0(0(2(0(0(2(1(0(3(2(1(2(3(2(2(1(0(3(z0))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_2(c_3(c_2(z0)))))))))))))))))) -> 1(1(1(3(3(0(2(1(1(3(0(0(0(0(2(3(0(2(z0))))))))))))))))))
   1(c_3(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_1(z0)))))))))))))))))) -> 1(1(0(3(3(2(1(1(3(0(1(0(0(1(3(2(2(2(z0))))))))))))))))))
   1(c_0(c_3(c_2(c_3(c_2(c_2(c_1(c_0(c_1(c_1(c_3(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))) -> 1(3(1(0(2(2(3(0(2(0(2(3(0(2(1(1(1(0(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_3(c_1(c_2(c_0(c_3(c_3(c_2(c_3(c_1(c_1(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(0(1(1(1(3(1(1(0(0(3(2(3(2(0(3(3(2(z0))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_3(c_3(c_2(c_2(c_0(c_1(c_0(c_1(c_3(z0)))))))))))))))))) -> 1(0(2(0(3(0(2(1(2(2(1(1(0(3(0(3(2(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_1(c_3(z0)))))))))))))))))) -> 1(2(2(1(1(2(1(2(0(0(1(1(1(2(1(3(3(3(z0))))))))))))))))))
   1(c_0(c_1(c_0(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(z0)))))))))))))))))) -> 1(2(0(0(1(3(2(2(0(0(1(1(2(1(0(3(1(2(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_1(c_0(c_3(c_3(c_1(c_0(c_0(c_3(c_0(c_3(c_0(c_1(c_1(c_0(z0)))))))))))))))))) -> 1(1(3(3(1(0(3(3(0(0(1(1(0(0(0(2(1(0(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_3(c_0(c_1(c_1(z0)))))))))))))))))) -> 1(1(1(2(1(1(2(0(3(1(1(1(2(2(1(1(0(0(z0))))))))))))))))))
   1(c_2(c_1(c_3(c_1(c_2(c_0(c_0(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(3(3(0(3(2(2(3(0(1(1(1(1(2(0(3(0(2(z0))))))))))))))))))
   1(c_2(c_1(c_0(c_2(c_3(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_1(c_1(c_1(z0)))))))))))))))))) -> 1(1(3(0(0(3(3(3(2(1(3(2(1(2(1(1(2(1(z0))))))))))))))))))
   1(c_2(c_3(c_2(c_1(c_3(c_3(c_2(c_3(c_1(c_3(c_1(c_2(c_1(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(2(1(3(3(1(3(1(1(3(1(2(2(3(2(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_0(c_3(c_3(c_0(c_1(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_3(z0)))))))))))))))))) -> 1(0(2(0(1(2(1(0(0(2(3(3(2(0(3(0(3(3(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_3(c_2(c_1(c_3(c_0(c_1(c_2(c_2(c_2(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 1(2(2(1(3(0(2(0(3(2(3(3(2(1(0(2(2(1(z0))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_1(c_3(c_1(c_1(c_3(c_2(c_2(c_2(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 1(2(1(1(3(1(1(0(2(1(2(3(0(0(3(3(2(1(z0))))))))))))))))))
   1(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_0(c_2(c_2(c_0(c_0(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 1(0(3(0(2(0(3(3(1(2(1(2(0(3(3(1(2(0(z0))))))))))))))))))
   1(c_2(c_0(c_3(c_0(c_2(c_2(c_2(c_3(c_1(c_3(c_1(c_2(c_2(c_2(c_3(c_3(c_2(z0)))))))))))))))))) -> 1(2(3(3(3(3(0(2(1(1(2(2(2(0(2(3(2(2(z0))))))))))))))))))
   1(c_1(c_1(c_1(c_0(c_2(c_2(c_3(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(z0)))))))))))))))))) -> 1(1(1(1(0(0(2(1(2(0(2(0(0(0(0(3(1(1(z0))))))))))))))))))
   1(c_1(c_0(c_2(c_3(c_1(c_1(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 1(0(0(2(1(2(3(2(1(1(3(0(3(1(1(1(3(1(z0))))))))))))))))))
   1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_3(c_1(c_1(c_2(c_1(c_2(c_2(z0)))))))))))))))))) -> 1(3(2(1(1(1(2(1(3(2(2(2(1(1(1(1(0(2(z0))))))))))))))))))
   1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))) -> 1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))
   1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))) -> 1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))) -> 0(2(2(2(1(2(2(3(2(1(0(1(2(1(0(2(0(2(z0))))))))))))))))))
   2(c_2(c_1(c_2(c_2(c_3(c_0(c_3(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_2(c_2(c_0(z0)))))))))))))))))) -> 2(0(2(2(2(0(3(3(2(1(2(3(2(1(1(3(0(0(z0))))))))))))))))))
   2(c_0(c_3(c_3(c_2(c_0(c_0(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_0(c_3(c_2(c_3(z0)))))))))))))))))) -> 2(0(3(2(0(3(3(3(3(3(0(0(2(0(2(3(3(3(z0))))))))))))))))))
   2(c_3(c_0(c_0(c_3(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(z0)))))))))))))))))) -> 0(3(2(3(1(1(0(0(1(1(0(2(1(0(2(0(2(2(z0))))))))))))))))))
   2(c_0(c_1(c_3(c_1(c_2(c_3(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_1(z0)))))))))))))))))) -> 2(0(1(1(2(2(3(1(0(1(1(1(1(0(2(2(3(0(z0))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_2(c_3(c_1(c_3(c_3(c_1(c_3(c_2(c_0(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(0(1(0(2(2(1(3(0(2(2(3(3(3(1(3(2(1(z0))))))))))))))))))
   2(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(z0)))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(3(3(2(1(2(1(1(0(2(z0))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_3(c_0(c_2(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0)))))))))))))))))) -> 2(0(1(1(0(0(2(0(3(1(2(1(1(3(2(1(2(1(z0))))))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_3(c_0(c_3(c_1(c_0(z0)))))))))))))))))) -> 2(3(0(0(0(0(3(0(0(2(1(2(1(1(0(2(1(0(z0))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_3(c_0(c_1(c_1(c_0(c_3(c_0(c_0(c_1(z0)))))))))))))))))) -> 2(1(3(3(2(1(1(2(1(0(0(1(2(0(0(0(0(1(z0))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_0(c_1(c_0(c_2(z0)))))))))))))))))) -> 0(2(0(2(2(3(2(2(1(3(2(1(3(1(0(1(1(1(z0))))))))))))))))))
   2(c_2(c_2(c_2(c_2(c_3(c_0(c_3(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(3(3(0(2(2(1(2(3(2(3(2(1(2(1(z0))))))))))))))))))
   2(c_2(c_1(c_3(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 2(1(2(3(3(1(1(1(2(1(2(0(0(2(2(1(2(1(z0))))))))))))))))))
   2(c_3(c_3(c_3(c_1(c_1(c_3(c_0(c_0(c_1(c_2(c_0(c_3(c_0(c_3(c_2(c_0(c_3(z0)))))))))))))))))) -> 2(3(3(3(3(2(1(0(1(0(0(3(2(1(3(0(0(3(z0))))))))))))))))))
   2(c_0(c_2(c_3(c_1(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_1(c_3(c_0(c_1(c_2(c_3(z0)))))))))))))))))) -> 0(1(0(2(2(0(3(3(2(0(2(3(1(1(1(1(3(3(z0))))))))))))))))))
   2(c_1(c_3(c_1(c_1(c_1(c_3(c_0(c_1(c_2(c_3(c_2(c_2(c_3(c_3(c_1(c_3(c_1(z0)))))))))))))))))) -> 2(1(3(1(2(2(3(0(2(1(1(1(1(3(3(3(3(1(z0))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_1(c_3(c_1(c_0(c_3(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(z0)))))))))))))))))) -> 2(0(0(2(2(1(0(2(2(0(1(1(0(3(3(1(1(1(z0))))))))))))))))))
   2(c_3(c_3(c_2(c_3(c_0(c_1(c_1(c_2(c_2(c_0(c_3(c_0(c_1(c_1(c_3(c_2(c_2(z0)))))))))))))))))) -> 2(3(3(3(0(2(0(2(1(3(2(1(3(1(1(0(2(2(z0))))))))))))))))))
   2(c_1(c_2(c_2(c_3(c_1(c_3(c_3(c_1(c_2(c_3(c_2(c_3(c_2(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 2(2(3(2(3(2(2(1(1(1(3(2(2(1(3(2(3(3(z0))))))))))))))))))
   3(z0) -> c_3(z0)
   3(c_1(c_3(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_3(c_0(c_2(c_2(c_1(z0)))))))))))))))))) -> 3(1(2(2(3(1(1(1(0(2(0(2(0(3(0(0(1(1(z0))))))))))))))))))
   3(c_1(c_1(c_1(c_1(c_2(c_3(c_0(c_3(c_1(c_3(c_3(c_0(c_3(c_3(c_0(c_3(c_1(z0)))))))))))))))))) -> 3(3(1(1(1(0(1(1(0(3(0(3(3(3(1(3(3(2(z0))))))))))))))))))
   3(c_0(c_1(c_2(c_3(c_3(c_1(c_3(c_1(c_0(c_1(c_3(c_0(c_2(c_2(c_3(c_1(c_0(z0)))))))))))))))))) -> 3(2(0(0(2(1(1(1(0(3(2(1(1(3(3(3(3(0(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_0(c_1(c_3(c_0(c_3(c_0(c_2(z0)))))))))))))))))) -> 3(3(2(2(2(3(0(2(2(1(3(3(0(0(0(1(1(2(z0))))))))))))))))))
   3(c_1(c_0(c_3(c_1(c_1(c_3(c_1(c_1(c_3(c_1(c_2(c_2(c_3(c_1(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(1(1(2(3(3(1(3(3(1(1(0(2(2(1(1(3(1(z0))))))))))))))))))
   3(c_0(c_3(c_2(c_3(c_1(c_2(c_1(c_2(c_2(c_0(c_3(c_1(c_3(c_2(c_3(c_2(c_3(z0)))))))))))))))))) -> 3(2(2(3(2(2(1(1(3(1(3(0(2(2(3(3(0(3(z0))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_0(c_3(c_3(c_2(c_0(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(2(1(0(0(0(1(0(3(3(0(3(2(0(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_0(c_3(c_2(c_2(c_2(c_2(c_3(c_0(c_2(c_3(c_3(c_1(z0)))))))))))))))))) -> 3(2(0(3(3(3(3(0(0(1(1(2(3(2(2(3(2(1(z0))))))))))))))))))
   3(c_1(c_3(c_0(c_0(c_3(c_0(c_0(c_3(c_1(c_1(c_3(c_2(c_3(c_1(c_2(c_1(c_3(z0)))))))))))))))))) -> 3(3(3(3(0(3(3(0(1(1(1(0(0(1(2(1(2(3(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_1(c_2(c_2(c_3(c_3(c_1(c_3(c_2(c_3(c_0(c_3(c_0(c_3(z0)))))))))))))))))) -> 3(3(3(3(3(2(2(3(0(3(3(3(3(2(2(0(1(1(z0))))))))))))))))))
   3(c_3(c_2(c_1(c_0(c_3(c_0(c_1(c_3(c_3(c_2(c_2(c_2(c_0(c_1(c_0(c_3(c_2(z0)))))))))))))))))) -> 3(3(3(3(2(2(1(2(0(3(2(0(0(1(1(0(3(2(z0))))))))))))))))))
   3(c_1(c_2(c_3(c_3(c_2(c_2(c_3(c_1(c_1(c_3(c_3(c_1(c_2(c_0(c_1(c_2(c_2(z0)))))))))))))))))) -> 3(0(1(2(3(2(1(1(2(3(3(3(2(2(1(1(2(3(z0))))))))))))))))))
   3(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> 3(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> 3(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))))
   3(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> 3(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))))
   3(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> 3(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))))
   3(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> 3(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))))
   3(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> 3(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))))
   3(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> 3(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))))
   3(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> 3(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))))
   3(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> 3(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))))
   3(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 3(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))))
Tuples:
   0'(c_1(c_2(c_2(c_2(c_3(c_1(c_0(c_1(c_0(c_3(c_1(c_0(c_0(c_1(c_2(c_3(c_2(z0)))))))))))))))))) -> c11(2'(2(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))))), 2'(1(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))))), 1'(0(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))))), 0'(1(1(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))))), 1'(1(1(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))))), 1'(1(3(2(1(3(0(0(0(0(2(3(2(z0))))))))))))), 1'(3(2(1(3(0(0(0(0(2(3(2(z0)))))))))))), 3'(2(1(3(0(0(0(0(2(3(2(z0))))))))))), 2'(1(3(0(0(0(0(2(3(2(z0)))))))))), 1'(3(0(0(0(0(2(3(2(z0))))))))), 3'(0(0(0(0(2(3(2(z0)))))))), 0'(0(0(0(2(3(2(z0))))))), 0'(0(0(2(3(2(z0)))))), 0'(0(2(3(2(z0))))), 0'(2(3(2(z0)))), 2'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_3(c_0(c_1(c_3(c_3(z0)))))))))))))))))) -> c12(2'(1(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))))), 1'(0(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))))), 0'(0(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))))), 0'(1(0(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))))), 1'(0(0(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))))), 0'(0(1(3(2(1(3(2(1(2(0(0(3(z0))))))))))))), 0'(1(3(2(1(3(2(1(2(0(0(3(z0)))))))))))), 1'(3(2(1(3(2(1(2(0(0(3(z0))))))))))), 3'(2(1(3(2(1(2(0(0(3(z0)))))))))), 2'(1(3(2(1(2(0(0(3(z0))))))))), 1'(3(2(1(2(0(0(3(z0)))))))), 3'(2(1(2(0(0(3(z0))))))), 2'(1(2(0(0(3(z0)))))), 1'(2(0(0(3(z0))))), 2'(0(0(3(z0)))), 0'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_1(c_3(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))) -> c13(0'(1(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))))), 1'(1(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))))), 1'(0(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))))), 0'(3(1(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))))), 3'(1(1(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))))), 1'(1(1(1(0(2(0(0(0(0(1(2(2(z0))))))))))))), 1'(1(1(0(2(0(0(0(0(1(2(2(z0)))))))))))), 1'(1(0(2(0(0(0(0(1(2(2(z0))))))))))), 1'(0(2(0(0(0(0(1(2(2(z0)))))))))), 0'(2(0(0(0(0(1(2(2(z0))))))))), 2'(0(0(0(0(1(2(2(z0)))))))), 0'(0(0(0(1(2(2(z0))))))), 0'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_3(c_1(c_1(c_0(c_3(c_1(c_3(c_2(z0)))))))))))))))))) -> c14(2'(0(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))))), 0'(2(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))))), 2'(1(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))))), 1'(0(0(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))))), 0'(0(3(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))))), 0'(3(0(0(2(1(1(1(1(2(3(3(2(z0))))))))))))), 3'(0(0(2(1(1(1(1(2(3(3(2(z0)))))))))))), 0'(0(2(1(1(1(1(2(3(3(2(z0))))))))))), 0'(2(1(1(1(1(2(3(3(2(z0)))))))))), 2'(1(1(1(1(2(3(3(2(z0))))))))), 1'(1(1(1(2(3(3(2(z0)))))))), 1'(1(1(2(3(3(2(z0))))))), 1'(1(2(3(3(2(z0)))))), 1'(2(3(3(2(z0))))), 2'(3(3(2(z0)))), 3'(3(2(z0))), 3'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> c20(0'(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))))), 0'(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))), 1'(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))), 2'(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))), 3'(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))), 0'(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))), 2'(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))), 3'(0(1(1(3(2(1(1(3(0(0(z0))))))))))), 0'(1(1(3(2(1(1(3(0(0(z0)))))))))), 1'(1(3(2(1(1(3(0(0(z0))))))))), 1'(3(2(1(1(3(0(0(z0)))))))), 3'(2(1(1(3(0(0(z0))))))), 2'(1(1(3(0(0(z0)))))), 1'(1(3(0(0(z0))))), 1'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> c21(0'(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))))), 0'(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))), 1'(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))), 3'(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))), 2'(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))), 1'(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))), 1'(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))), 1'(2(1(1(1(0(1(0(1(0(3(z0))))))))))), 2'(1(1(1(0(1(0(1(0(3(z0)))))))))), 1'(1(1(0(1(0(1(0(3(z0))))))))), 1'(1(0(1(0(1(0(3(z0)))))))), 1'(0(1(0(1(0(3(z0))))))), 0'(1(0(1(0(3(z0)))))), 1'(0(1(0(3(z0))))), 0'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c22(0'(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))))))), 0'(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))), 0'(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))))), 3'(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))), 2'(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))), 0'(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))), 0'(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))), 0'(1(3(2(2(0(3(2(2(1(1(z0))))))))))), 1'(3(2(2(0(3(2(2(1(1(z0)))))))))), 3'(2(2(0(3(2(2(1(1(z0))))))))), 2'(2(0(3(2(2(1(1(z0)))))))), 2'(0(3(2(2(1(1(z0))))))), 0'(3(2(2(1(1(z0)))))), 3'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   3'(c_2(c_0(c_3(c_1(c_3(c_2(c_2(c_2(c_2(c_1(c_3(c_0(c_3(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c81(3'(2(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))))), 2'(2(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))))), 2'(1(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))))), 1'(0(2(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))))), 0'(2(1(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))))), 2'(1(0(3(3(2(3(0(1(3(2(1(2(z0))))))))))))), 1'(0(3(3(2(3(0(1(3(2(1(2(z0)))))))))))), 0'(3(3(2(3(0(1(3(2(1(2(z0))))))))))), 3'(3(2(3(0(1(3(2(1(2(z0)))))))))), 3'(2(3(0(1(3(2(1(2(z0))))))))), 2'(3(0(1(3(2(1(2(z0)))))))), 3'(0(1(3(2(1(2(z0))))))), 0'(1(3(2(1(2(z0)))))), 1'(3(2(1(2(z0))))), 3'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_2(c_3(c_2(c_3(c_0(c_3(c_3(c_1(c_3(c_2(c_2(c_2(c_3(c_3(c_3(z0)))))))))))))))))) -> c82(3'(2(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))))), 2'(1(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))))), 1'(2(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))))), 2'(2(2(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))))), 2'(2(3(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))))), 2'(3(3(3(3(3(3(2(0(1(3(3(3(z0))))))))))))), 3'(3(3(3(3(3(2(0(1(3(3(3(z0)))))))))))), 3'(3(3(3(3(2(0(1(3(3(3(z0))))))))))), 3'(3(3(3(2(0(1(3(3(3(z0)))))))))), 3'(3(3(2(0(1(3(3(3(z0))))))))), 3'(3(2(0(1(3(3(3(z0)))))))), 3'(2(0(1(3(3(3(z0))))))), 2'(0(1(3(3(3(z0)))))), 0'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_1(c_3(c_1(c_0(c_3(c_3(c_0(c_0(c_3(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))) -> c83(3'(2(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))))), 2'(1(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))))), 1'(3(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))))), 3'(3(0(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))))), 3'(0(0(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))))), 0'(0(1(3(0(1(1(0(0(2(3(0(0(z0))))))))))))), 0'(1(3(0(1(1(0(0(2(3(0(0(z0)))))))))))), 1'(3(0(1(1(0(0(2(3(0(0(z0))))))))))), 3'(0(1(1(0(0(2(3(0(0(z0)))))))))), 0'(1(1(0(0(2(3(0(0(z0))))))))), 1'(1(0(0(2(3(0(0(z0)))))))), 1'(0(0(2(3(0(0(z0))))))), 0'(0(2(3(0(0(z0)))))), 0'(2(3(0(0(z0))))), 2'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_0(c_3(c_1(c_3(c_0(c_3(c_1(c_0(c_3(c_0(c_3(c_1(c_2(c_3(c_3(c_3(c_2(z0)))))))))))))))))) -> c84(3'(0(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))))), 0'(1(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))))), 1'(1(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))))), 1'(1(3(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))))), 1'(3(3(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))))), 3'(3(3(2(3(0(3(3(3(3(2(0(0(z0))))))))))))), 3'(3(2(3(0(3(3(3(3(2(0(0(z0)))))))))))), 3'(2(3(0(3(3(3(3(2(0(0(z0))))))))))), 2'(3(0(3(3(3(3(2(0(0(z0)))))))))), 3'(0(3(3(3(3(2(0(0(z0))))))))), 0'(3(3(3(3(2(0(0(z0)))))))), 3'(3(3(3(2(0(0(z0))))))), 3'(3(3(2(0(0(z0)))))), 3'(3(2(0(0(z0))))), 3'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   3'(c_3(c_2(c_3(c_0(c_1(c_2(c_0(c_3(c_3(c_1(c_2(c_2(c_1(c_0(c_2(c_3(c_1(z0)))))))))))))))))) -> c85(3'(0(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))))), 0'(1(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))))), 1'(1(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))))), 1'(1(3(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))))), 1'(3(2(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))))), 3'(2(2(3(0(2(3(3(0(2(1(3(2(z0))))))))))))), 2'(2(3(0(2(3(3(0(2(1(3(2(z0)))))))))))), 2'(3(0(2(3(3(0(2(1(3(2(z0))))))))))), 3'(0(2(3(3(0(2(1(3(2(z0)))))))))), 0'(2(3(3(0(2(1(3(2(z0))))))))), 2'(3(3(0(2(1(3(2(z0)))))))), 3'(3(0(2(1(3(2(z0))))))), 3'(0(2(1(3(2(z0)))))), 0'(2(1(3(2(z0))))), 2'(1(3(2(z0)))), 1'(3(2(z0))), 3'(2(z0)), 2'(z0))
   3'(c_1(c_3(c_1(c_3(c_3(c_2(c_2(c_0(c_3(c_2(c_3(c_1(c_0(c_1(c_2(c_2(c_3(z0)))))))))))))))))) -> c86(3'(3(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))))), 3'(2(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))))), 2'(3(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))))), 3'(1(0(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))))), 1'(0(3(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))))), 0'(3(2(1(1(2(3(0(3(1(2(2(3(z0))))))))))))), 3'(2(1(1(2(3(0(3(1(2(2(3(z0)))))))))))), 2'(1(1(2(3(0(3(1(2(2(3(z0))))))))))), 1'(1(2(3(0(3(1(2(2(3(z0)))))))))), 1'(2(3(0(3(1(2(2(3(z0))))))))), 2'(3(0(3(1(2(2(3(z0)))))))), 3'(0(3(1(2(2(3(z0))))))), 0'(3(1(2(2(3(z0)))))), 3'(1(2(2(3(z0))))), 1'(2(2(3(z0)))), 2'(2(3(z0))), 2'(3(z0)), 3'(z0))
   3'(c_1(c_1(c_3(c_1(c_3(c_0(c_0(c_0(c_3(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(z0)))))))))))))))))) -> c87(3'(1(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))))), 1'(1(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))))), 1'(1(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))))), 1'(2(0(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))))), 2'(0(3(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))))), 0'(3(0(1(0(0(1(3(3(2(0(1(1(z0))))))))))))), 3'(0(1(0(0(1(3(3(2(0(1(1(z0)))))))))))), 0'(1(0(0(1(3(3(2(0(1(1(z0))))))))))), 1'(0(0(1(3(3(2(0(1(1(z0)))))))))), 0'(0(1(3(3(2(0(1(1(z0))))))))), 0'(1(3(3(2(0(1(1(z0)))))))), 1'(3(3(2(0(1(1(z0))))))), 3'(3(2(0(1(1(z0)))))), 3'(2(0(1(1(z0))))), 2'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_1(c_3(c_2(c_3(c_1(c_0(c_1(c_3(c_2(c_3(c_2(c_0(c_0(c_2(c_0(c_2(c_2(z0)))))))))))))))))) -> c88(3'(3(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))))), 3'(3(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))))), 3'(2(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))))), 2'(1(2(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))))), 1'(2(1(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))))), 2'(1(3(0(0(2(1(2(3(0(2(2(0(z0))))))))))))), 1'(3(0(0(2(1(2(3(0(2(2(0(z0)))))))))))), 3'(0(0(2(1(2(3(0(2(2(0(z0))))))))))), 0'(0(2(1(2(3(0(2(2(0(z0)))))))))), 0'(2(1(2(3(0(2(2(0(z0))))))))), 2'(1(2(3(0(2(2(0(z0)))))))), 1'(2(3(0(2(2(0(z0))))))), 2'(3(0(2(2(0(z0)))))), 3'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   3'(c_1(c_2(c_2(c_3(c_1(c_0(c_0(c_3(c_3(c_0(c_1(c_3(c_0(c_0(c_2(c_1(c_1(z0)))))))))))))))))) -> c89(3'(3(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))))), 3'(0(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))))), 0'(0(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))))), 0'(2(3(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))))), 2'(3(3(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))))), 3'(3(0(3(1(2(2(0(0(1(1(1(1(z0))))))))))))), 3'(0(3(1(2(2(0(0(1(1(1(1(z0)))))))))))), 0'(3(1(2(2(0(0(1(1(1(1(z0))))))))))), 3'(1(2(2(0(0(1(1(1(1(z0)))))))))), 1'(2(2(0(0(1(1(1(1(z0))))))))), 2'(2(0(0(1(1(1(1(z0)))))))), 2'(0(0(1(1(1(1(z0))))))), 0'(0(1(1(1(1(z0)))))), 0'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   3'(c_2(c_3(c_3(c_3(c_0(c_0(c_3(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_2(c_3(c_3(z0)))))))))))))))))) -> c90(3'(2(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))))), 2'(3(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))))), 3'(0(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))))), 0'(3(3(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))))), 3'(3(3(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))))), 3'(3(3(0(2(0(3(3(3(1(3(3(3(z0))))))))))))), 3'(3(0(2(0(3(3(3(1(3(3(3(z0)))))))))))), 3'(0(2(0(3(3(3(1(3(3(3(z0))))))))))), 0'(2(0(3(3(3(1(3(3(3(z0)))))))))), 2'(0(3(3(3(1(3(3(3(z0))))))))), 0'(3(3(3(1(3(3(3(z0)))))))), 3'(3(3(1(3(3(3(z0))))))), 3'(3(1(3(3(3(z0)))))), 3'(1(3(3(3(z0))))), 1'(3(3(3(z0)))), 3'(3(3(z0))), 3'(3(z0)), 3'(z0))
   3'(c_3(c_3(c_1(c_3(c_1(c_2(c_2(c_1(c_3(c_0(c_1(c_3(c_1(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c91(3'(3(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))))), 3'(2(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))))), 2'(3(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))))), 3'(1(1(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))))), 1'(1(2(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))))), 1'(2(1(3(1(3(1(3(2(0(1(1(0(z0))))))))))))), 2'(1(3(1(3(1(3(2(0(1(1(0(z0)))))))))))), 1'(3(1(3(1(3(2(0(1(1(0(z0))))))))))), 3'(1(3(1(3(2(0(1(1(0(z0)))))))))), 1'(3(1(3(2(0(1(1(0(z0))))))))), 3'(1(3(2(0(1(1(0(z0)))))))), 1'(3(2(0(1(1(0(z0))))))), 3'(2(0(1(1(0(z0)))))), 2'(0(1(1(0(z0))))), 0'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c8(0'(encArg(z0)))
   ENCODE_3(z0) -> c8(3'(encArg(z0)))
   ENCODE_1(z0) -> c8(1'(encArg(z0)))
   ENCODE_2(z0) -> c8(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_3(z0))) -> c(0'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_3(z0))) -> c1(1'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_3(z0))) -> c2(2'(3(encArg(z0))), ENCARG(cons_3(z0)))
   ENCARG(cons_3(cons_0(z0))) -> c3(3'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_3(cons_1(z0))) -> c3(3'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_3(cons_2(z0))) -> c3(3'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_3(cons_3(z0))) -> c3(3'(3(encArg(z0))), ENCARG(cons_3(z0)))
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   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(c_2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(c_0(3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(c_3(3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
   0'(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_3(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_3(x0)))))))))))))))))) -> c9(0'(1(1(3(0(2(2(1(2(0(3(c_3(2(1(0(2(0(3(x0)))))))))))))))))), 1'(1(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))))), 1'(3(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))))), 3'(0(2(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))))), 0'(2(2(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))))), 2'(2(1(2(0(3(3(2(1(0(2(0(3(x0))))))))))))), 2'(1(2(0(3(3(2(1(0(2(0(3(x0)))))))))))), 1'(2(0(3(3(2(1(0(2(0(3(x0))))))))))), 2'(0(3(3(2(1(0(2(0(3(x0)))))))))), 0'(3(3(2(1(0(2(0(3(x0))))))))), 3'(3(2(1(0(2(0(3(x0)))))))), 3'(2(1(0(2(0(3(x0))))))), 2'(1(0(2(0(3(x0)))))), 1'(0(2(0(3(x0))))), 0'(2(0(3(x0)))), 2'(0(3(x0))), 0'(3(x0)), 3'(x0))
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   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(0(3(1(1(0(3(0(1(3(2(1(3(0(1(3(1(1(z0))))))))))))))))))))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))))), 2'(1(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))))), 1'(3(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))))), 3'(3(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))))), 3'(2(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))))), 2'(1(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))))), 1'(3(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))))), 3'(0(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))))), 0'(2(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))), 2'(1(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0))))))))))))))))))), 1'(c_0(c_3(c_1(c_3(c_1(c_2(c_3(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_3(c_3(c_1(z0)))))))))))))))))))
   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))), 2'(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))), 1'(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))), 3'(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))), 3'(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))), 2'(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))), 1'(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))), 3'(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))), 0'(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))), 2'(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))), 1'(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))
S tuples:
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   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_3(c_2(c_3(c_0(c_3(c_2(c_2(c_2(c_0(c_3(c_0(z0)))))))))))))))))) -> c15(0'(2(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))))), 2'(3(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))))), 3'(0(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))))), 0'(2(0(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))))), 2'(0(0(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))))), 0'(0(3(2(1(2(0(2(2(3(3(0(0(z0))))))))))))), 0'(3(2(1(2(0(2(2(3(3(0(0(z0)))))))))))), 3'(2(1(2(0(2(2(3(3(0(0(z0))))))))))), 2'(1(2(0(2(2(3(3(0(0(z0)))))))))), 1'(2(0(2(2(3(3(0(0(z0))))))))), 2'(0(2(2(3(3(0(0(z0)))))))), 0'(2(2(3(3(0(0(z0))))))), 2'(2(3(3(0(0(z0)))))), 2'(3(3(0(0(z0))))), 3'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_3(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))) -> c16(0'(2(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))))), 2'(1(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))))), 1'(0(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))))), 0'(3(0(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))))), 3'(0(2(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))))), 0'(2(1(0(0(1(0(0(1(1(1(2(1(z0))))))))))))), 2'(1(0(0(1(0(0(1(1(1(2(1(z0)))))))))))), 1'(0(0(1(0(0(1(1(1(2(1(z0))))))))))), 0'(0(1(0(0(1(1(1(2(1(z0)))))))))), 0'(1(0(0(1(1(1(2(1(z0))))))))), 1'(0(0(1(1(1(2(1(z0)))))))), 0'(0(1(1(1(2(1(z0))))))), 0'(1(1(1(2(1(z0)))))), 1'(1(1(2(1(z0))))), 1'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_3(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_2(c_3(c_1(c_2(c_2(z0)))))))))))))))))) -> c17(0'(0(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))))), 0'(2(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))))), 2'(0(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))))), 0'(2(0(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))))), 2'(0(3(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))))), 0'(3(0(2(1(0(2(0(1(1(3(2(2(z0))))))))))))), 3'(0(2(1(0(2(0(1(1(3(2(2(z0)))))))))))), 0'(2(1(0(2(0(1(1(3(2(2(z0))))))))))), 2'(1(0(2(0(1(1(3(2(2(z0)))))))))), 1'(0(2(0(1(1(3(2(2(z0))))))))), 0'(2(0(1(1(3(2(2(z0)))))))), 2'(0(1(1(3(2(2(z0))))))), 0'(1(1(3(2(2(z0)))))), 1'(1(3(2(2(z0))))), 1'(3(2(2(z0)))), 3'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_0(c_1(c_2(c_3(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(z0)))))))))))))))))) -> c18(2'(1(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))))), 1'(0(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))))), 0'(0(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))))), 0'(2(1(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))))), 2'(1(1(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))))), 1'(1(1(2(1(2(2(2(1(0(3(0(0(z0))))))))))))), 1'(1(2(1(2(2(2(1(0(3(0(0(z0)))))))))))), 1'(2(1(2(2(2(1(0(3(0(0(z0))))))))))), 2'(1(2(2(2(1(0(3(0(0(z0)))))))))), 1'(2(2(2(1(0(3(0(0(z0))))))))), 2'(2(2(1(0(3(0(0(z0)))))))), 2'(2(1(0(3(0(0(z0))))))), 2'(1(0(3(0(0(z0)))))), 1'(0(3(0(0(z0))))), 0'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_3(c_2(c_1(c_3(c_0(c_2(z0)))))))))))))))))) -> c19(0'(2(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))))), 2'(2(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))))), 2'(1(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))))), 1'(0(3(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))))), 0'(3(2(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))))), 3'(2(1(0(0(3(2(1(2(1(0(0(1(z0))))))))))))), 2'(1(0(0(3(2(1(2(1(0(0(1(z0)))))))))))), 1'(0(0(3(2(1(2(1(0(0(1(z0))))))))))), 0'(0(3(2(1(2(1(0(0(1(z0)))))))))), 0'(3(2(1(2(1(0(0(1(z0))))))))), 3'(2(1(2(1(0(0(1(z0)))))))), 2'(1(2(1(0(0(1(z0))))))), 1'(2(1(0(0(1(z0)))))), 2'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_0(c_1(c_2(c_3(c_1(c_0(c_1(c_2(c_3(c_0(c_3(c_2(c_0(c_3(c_1(z0)))))))))))))))))) -> c20(0'(0(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))))), 0'(1(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))))), 1'(2(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))))), 2'(3(0(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))))), 3'(0(2(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))))), 0'(2(3(0(1(1(3(2(1(1(3(0(0(z0))))))))))))), 2'(3(0(1(1(3(2(1(1(3(0(0(z0)))))))))))), 3'(0(1(1(3(2(1(1(3(0(0(z0))))))))))), 0'(1(1(3(2(1(1(3(0(0(z0)))))))))), 1'(1(3(2(1(1(3(0(0(z0))))))))), 1'(3(2(1(1(3(0(0(z0)))))))), 3'(2(1(1(3(0(0(z0))))))), 2'(1(1(3(0(0(z0)))))), 1'(1(3(0(0(z0))))), 1'(3(0(0(z0)))), 3'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_3(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_3(z0)))))))))))))))))) -> c21(0'(0(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))))), 0'(1(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))))), 1'(3(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))))), 3'(2(1(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))))), 2'(1(1(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))))), 1'(1(1(2(1(1(1(0(1(0(1(0(3(z0))))))))))))), 1'(1(2(1(1(1(0(1(0(1(0(3(z0)))))))))))), 1'(2(1(1(1(0(1(0(1(0(3(z0))))))))))), 2'(1(1(1(0(1(0(1(0(3(z0)))))))))), 1'(1(1(0(1(0(1(0(3(z0))))))))), 1'(1(0(1(0(1(0(3(z0)))))))), 1'(0(1(0(1(0(3(z0))))))), 0'(1(0(1(0(3(z0)))))), 1'(0(1(0(3(z0))))), 0'(1(0(3(z0)))), 1'(0(3(z0))), 0'(3(z0)), 3'(z0))
   0'(c_0(c_2(c_0(c_3(c_0(c_1(c_3(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_3(c_1(c_2(z0)))))))))))))))))) -> c22(0'(0(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))))))), 0'(0(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))))), 0'(3(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))))), 3'(2(0(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))))), 2'(0(0(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))))), 0'(0(0(1(3(2(2(0(3(2(2(1(1(z0))))))))))))), 0'(0(1(3(2(2(0(3(2(2(1(1(z0)))))))))))), 0'(1(3(2(2(0(3(2(2(1(1(z0))))))))))), 1'(3(2(2(0(3(2(2(1(1(z0)))))))))), 3'(2(2(0(3(2(2(1(1(z0))))))))), 2'(2(0(3(2(2(1(1(z0)))))))), 2'(0(3(2(2(1(1(z0))))))), 0'(3(2(2(1(1(z0)))))), 3'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   0'(c_0(c_2(c_0(c_3(c_3(c_1(c_0(c_1(c_3(c_1(c_2(c_3(c_0(c_2(c_2(c_3(c_1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))) -> c10(0'(2(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(2(1(0(3(0(0(1(2(3(3(3(0(1(2(1(3(1(z0))))))))))))))))))))))))))))))))))), 2'(0(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))))))), 0'(0(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))), 0'(0(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))))), 0'(1(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))), 1'(3(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))), 3'(3(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))))), 3'(2(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))))), 2'(1(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))))), 1'(3(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))))), 3'(3(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))))), 3'(2(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))))), 2'(1(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))))), 1'(3(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))))), 3'(0(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))))), 0'(2(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))), 2'(1(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0))))))))))))))))))), 1'(c_3(c_1(c_3(c_0(c_1(c_3(c_3(c_2(c_0(c_1(c_1(c_2(c_0(c_3(c_0(c_1(c_2(z0)))))))))))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1, 3_1

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

Compound Symbols:   c11_18, c12_18, c13_18, c14_18, c15_18, c16_18, c17_18, c18_18, c19_18, c20_18, c21_18, c22_18, c23_18, c24_18, 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_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_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