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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 100 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 3 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 6 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), 1621 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 62 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1523 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 85 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 33 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1630 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 3 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 11.3 s]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3374 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3423 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3378 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10.1 s]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 14.0 s]
        (56) CdtProblem


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

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


The TRS R consists of the following rules:

   0(0(0(0(0(1(2(2(2(0(1(1(0(0(1(0(0(1(2(1(2(2(0(x1))))))))))))))))))))))) -> 0(2(1(0(1(2(0(0(0(1(0(0(1(0(0(2(1(2(2(0(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))
   0(0(0(0(1(2(0(1(2(0(0(2(1(0(2(2(0(1(0(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x1)))))))))))))))))))))))))))
   0(0(0(0(1(2(0(2(0(0(2(0(1(1(0(2(2(2(0(0(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(1(0(2(0(1(1(0(0(1(1(1(2(0(1(0(1(0(2(0(0(1(1(x1)))))))))))))))))))))))))))
   0(0(0(2(0(1(2(2(0(1(0(1(1(0(2(2(2(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(0(0(1(0(0(0(2(0(0(1(2(2(1(2(0(0(0(1(1(0(2(1(0(0(0(x1)))))))))))))))))))))))))))
   0(0(1(0(2(1(1(1(1(0(0(1(2(2(2(0(0(0(1(0(2(0(1(x1))))))))))))))))))))))) -> 0(1(1(2(0(1(0(1(1(1(1(0(0(0(0(1(2(0(1(0(1(0(1(2(0(1(1(x1)))))))))))))))))))))))))))
   0(0(1(1(2(2(0(0(2(1(1(2(0(1(0(2(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(x1)))))))))))))))))))))))))))
   0(0(1(2(0(0(0(2(1(1(2(0(2(1(1(2(2(0(1(1(1(0(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(2(1(0(1(0(2(0(1(2(2(2(2(0(1(2(0(2(0(1(0(0(0(x1)))))))))))))))))))))))))))
   0(0(1(2(2(2(2(0(0(0(0(0(0(0(2(0(2(2(1(2(0(0(0(x1))))))))))))))))))))))) -> 0(0(2(2(0(1(1(0(0(2(1(0(1(2(0(1(0(0(0(0(0(1(1(2(2(0(0(x1)))))))))))))))))))))))))))
   0(0(2(0(0(2(1(1(1(2(2(1(2(1(0(0(1(0(2(1(0(0(0(x1))))))))))))))))))))))) -> 0(1(2(2(0(2(2(0(0(2(0(2(1(0(2(1(0(2(0(0(0(1(0(0(1(1(0(x1)))))))))))))))))))))))))))
   0(0(2(0(2(0(1(0(2(1(0(1(0(0(2(0(0(2(1(1(1(2(2(x1))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(x1)))))))))))))))))))))))))))
   0(0(2(1(0(0(1(1(2(2(0(1(0(1(1(1(0(1(0(1(0(2(1(x1))))))))))))))))))))))) -> 0(2(0(1(0(0(2(0(2(0(2(0(0(1(2(0(0(0(1(0(1(2(0(0(0(1(1(x1)))))))))))))))))))))))))))
   0(1(0(0(0(0(0(1(1(1(1(0(1(1(0(2(2(1(0(0(0(1(2(x1))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(x1)))))))))))))))))))))))))))
   0(1(0(0(1(0(2(2(0(0(1(1(1(2(1(1(1(2(0(0(1(1(1(x1))))))))))))))))))))))) -> 0(0(2(1(0(0(0(0(2(0(1(0(2(1(2(2(0(2(2(2(0(1(0(2(0(0(1(x1)))))))))))))))))))))))))))
   0(1(0(0(2(0(2(1(1(0(2(1(0(1(2(0(0(1(1(2(0(1(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(2(2(0(1(1(0(0(0(0(0(0(0(2(0(2(0(0(0(1(x1)))))))))))))))))))))))))))
   0(1(0(0(2(1(2(0(2(1(0(1(0(2(2(1(2(1(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(0(0(1(2(1(2(2(0(0(0(2(0(1(0(1(0(2(2(2(0(0(2(0(x1)))))))))))))))))))))))))))
   0(1(0(1(0(0(1(1(1(0(0(2(1(2(0(1(0(0(1(1(2(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(1(0(1(0(2(1(1(0(1(1(0(2(0(1(0(0(1(2(1(x1)))))))))))))))))))))))))))
   0(1(0(1(1(0(0(0(0(2(1(1(2(1(0(0(2(2(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(1(0(2(0(1(1(1(0(2(1(0(1(0(0(1(0(0(1(0(x1)))))))))))))))))))))))))))
   0(1(0(2(2(0(1(1(1(1(1(0(2(2(1(1(0(0(1(0(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(0(0(0(0(0(1(0(0(1(2(0(2(0(0(1(0(1(1(1(x1)))))))))))))))))))))))))))
   0(1(1(0(0(0(2(1(2(1(0(0(2(0(2(0(2(2(0(0(1(0(2(x1))))))))))))))))))))))) -> 0(0(1(0(2(0(1(2(0(2(0(1(0(1(0(2(2(2(1(2(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
   0(1(1(0(2(1(0(0(1(2(0(2(1(0(1(0(2(0(1(1(0(2(1(x1))))))))))))))))))))))) -> 0(2(1(0(0(0(0(0(2(2(0(0(0(0(2(2(0(1(2(0(1(2(0(0(0(0(0(x1)))))))))))))))))))))))))))
   0(1(1(1(2(0(0(2(2(1(2(0(2(1(0(2(1(0(1(2(0(1(0(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x1)))))))))))))))))))))))))))
   0(1(1(2(0(1(0(0(0(0(1(2(2(1(2(0(1(2(0(0(2(1(0(x1))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(x1)))))))))))))))))))))))))))
   0(1(1(2(1(1(0(0(1(2(2(0(2(0(1(0(2(1(1(0(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(0(1(1(2(1(1(0(0(0(2(0(0(1(0(2(1(2(0(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
   0(1(2(1(1(0(0(2(0(0(0(0(1(2(1(0(0(1(1(0(1(2(0(x1))))))))))))))))))))))) -> 0(1(0(1(1(1(0(0(1(1(2(0(1(0(0(1(1(1(0(0(0(0(0(0(1(2(0(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(1(1(0(2(2(2(1(0(2(2(0(0(1(1(1(0(0(x1))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(x1)))))))))))))))))))))))))))
   0(1(2(1(2(2(1(1(0(1(0(0(1(1(0(0(0(0(0(2(0(0(2(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
   0(1(2(2(0(0(0(0(2(1(0(0(2(1(1(2(1(2(0(0(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(1(0(0(0(1(0(1(1(2(0(1(2(0(1(0(0(0(2(2(0(0(0(1(1(x1)))))))))))))))))))))))))))
   0(1(2(2(1(0(1(0(0(1(1(0(0(2(0(2(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 0(2(0(1(2(0(2(0(0(0(1(0(0(2(0(0(1(0(1(0(0(0(0(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(2(2(1(0(1(2(1(0(1(2(0(0(2(0(2(0(1(1(1(0(0(x1))))))))))))))))))))))) -> 0(2(2(1(2(1(0(1(0(1(0(2(0(2(0(2(0(2(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
   0(1(2(2(1(0(2(2(1(2(1(2(0(0(0(0(1(2(1(2(1(2(0(x1))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(x1)))))))))))))))))))))))))))
   0(1(2(2(1(2(0(2(2(0(1(2(0(0(1(2(2(0(1(0(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(x1)))))))))))))))))))))))))))
   0(2(1(1(0(1(2(1(0(0(2(0(0(1(1(2(1(0(0(0(0(2(0(x1))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(1(0(1(0(1(0(1(1(1(0(0(2(1(1(1(0(0(1(0(x1)))))))))))))))))))))))))))
   0(2(2(0(2(0(0(1(2(1(1(0(0(2(0(1(2(0(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(x1)))))))))))))))))))))))))))
   0(2(2(1(1(0(2(0(0(0(0(0(1(0(1(2(1(2(2(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(2(1(0(0(1(1(0(1(0(2(2(0(2(1(2(0(1(2(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
   1(0(0(0(0(1(2(0(1(0(0(0(0(0(0(1(2(0(0(1(1(2(2(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(0(1(0(0(1(0(0(0(2(1(0(1(0(2(0(0(1(0(x1)))))))))))))))))))))))))))
   1(0(0(1(0(1(0(1(2(0(1(1(0(0(0(0(0(2(2(2(1(0(1(x1))))))))))))))))))))))) -> 0(2(0(2(0(0(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(x1)))))))))))))))))))))))))))
   1(0(0(1(0(1(2(0(2(0(2(2(2(1(0(1(0(2(0(2(0(0(0(x1))))))))))))))))))))))) -> 0(1(2(2(0(1(0(1(1(0(0(1(0(2(0(0(1(1(1(0(2(0(2(0(0(1(0(x1)))))))))))))))))))))))))))
   1(0(1(0(2(0(0(1(1(0(0(2(2(1(0(2(0(0(0(1(1(1(1(x1))))))))))))))))))))))) -> 2(1(0(1(0(0(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))
   1(0(1(1(1(1(0(2(2(2(0(0(1(2(0(1(0(0(2(0(0(1(0(x1))))))))))))))))))))))) -> 0(0(0(0(2(1(2(2(2(0(0(2(0(0(0(1(0(0(1(0(0(2(1(0(1(0(0(x1)))))))))))))))))))))))))))
   1(0(1(2(2(0(1(0(2(2(0(2(0(2(0(1(2(0(2(2(2(0(0(x1))))))))))))))))))))))) -> 1(0(0(1(2(0(0(1(1(1(2(0(1(0(1(2(2(1(1(2(0(0(0(0(0(2(0(x1)))))))))))))))))))))))))))
   1(0(2(0(0(0(2(1(1(0(0(1(2(1(1(1(0(2(0(0(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(1(0(2(0(0(2(0(2(0(1(0(2(0(2(2(1(1(0(1(1(0(x1)))))))))))))))))))))))))))
   1(0(2(1(0(1(1(0(0(0(1(1(0(2(0(0(1(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(1(2(0(0(0(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(x1)))))))))))))))))))))))))))
   1(1(0(0(0(0(0(0(0(2(1(0(1(1(0(0(2(2(1(1(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(2(0(1(1(0(1(0(0(0(2(1(0(0(0(1(0(1(0(1(2(2(1(0(0(x1)))))))))))))))))))))))))))
   1(1(0(0(1(0(0(0(0(0(1(0(0(2(0(2(0(2(2(0(2(2(1(x1))))))))))))))))))))))) -> 1(2(0(1(0(1(0(0(0(2(2(2(2(0(1(0(1(0(0(0(1(1(0(0(1(0(1(x1)))))))))))))))))))))))))))
   1(1(0(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(2(2(1(0(2(x1))))))))))))))))))))))) -> 2(1(0(1(0(1(1(0(0(0(1(0(1(2(0(1(0(1(0(1(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))
   1(1(1(2(2(0(2(1(0(0(1(0(2(0(0(2(0(2(2(0(1(0(0(x1))))))))))))))))))))))) -> 2(2(1(0(1(0(2(0(2(1(0(0(2(1(0(1(0(0(1(0(2(1(1(0(1(0(0(x1)))))))))))))))))))))))))))
   1(2(0(0(1(0(2(1(0(1(0(0(1(1(0(2(0(0(1(0(0(1(2(x1))))))))))))))))))))))) -> 2(0(1(2(0(1(0(0(0(1(0(1(1(0(0(0(1(1(0(1(1(0(0(0(0(0(1(x1)))))))))))))))))))))))))))
   1(2(1(0(0(2(1(0(0(0(0(1(1(0(1(2(1(0(0(1(0(0(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(2(0(0(0(1(1(0(1(1(0(0(0(1(2(0(0(1(0(x1)))))))))))))))))))))))))))
   1(2(1(0(0(2(2(2(0(0(1(1(0(2(0(0(2(0(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(1(2(2(0(2(1(2(0(1(1(0(0(1(0(0(1(0(0(0(0(0(0(x1)))))))))))))))))))))))))))
   1(2(1(0(1(0(0(0(0(1(0(2(2(1(0(0(2(2(1(2(0(0(0(x1))))))))))))))))))))))) -> 2(1(0(0(2(0(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(x1)))))))))))))))))))))))))))
   1(2(2(0(2(0(0(2(0(2(2(0(1(0(0(1(2(2(1(0(2(0(0(x1))))))))))))))))))))))) -> 1(0(2(2(0(2(0(0(2(0(0(1(0(1(1(2(1(2(0(1(0(1(2(0(1(0(0(x1)))))))))))))))))))))))))))
   2(0(0(1(1(0(1(1(0(0(2(2(0(0(0(1(0(0(2(1(1(2(2(x1))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(x1)))))))))))))))))))))))))))
   2(0(0(1(1(1(0(1(0(0(0(1(2(1(2(0(2(2(1(1(2(0(0(x1))))))))))))))))))))))) -> 2(1(0(2(0(2(2(2(1(1(0(0(1(1(2(0(1(0(0(0(1(2(0(1(0(1(0(x1)))))))))))))))))))))))))))
   2(0(0(2(1(1(1(2(0(1(0(1(2(1(1(0(1(0(0(0(1(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
   2(0(1(1(1(0(2(0(1(0(1(1(1(0(2(0(2(0(2(0(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(2(1(1(0(1(1(0(2(0(2(1(0(0(0(0(1(0(2(0(0(0(0(2(0(x1)))))))))))))))))))))))))))
   2(0(1(2(2(0(0(2(1(2(0(1(1(2(0(1(0(1(1(0(1(0(0(x1))))))))))))))))))))))) -> 2(0(0(0(2(0(0(2(2(2(0(1(0(0(0(0(0(2(2(0(0(1(1(0(1(1(0(x1)))))))))))))))))))))))))))
   2(1(0(0(0(0(2(0(1(2(0(2(0(1(1(0(1(1(0(0(0(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(0(2(2(1(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))
   2(1(2(0(0(1(0(2(0(0(1(1(1(2(1(0(1(2(0(2(0(0(0(x1))))))))))))))))))))))) -> 2(0(0(1(0(0(1(0(2(0(2(0(0(0(2(1(2(2(0(1(0(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
   2(2(0(0(0(2(2(1(1(1(0(1(1(0(1(0(2(0(1(1(1(0(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(x1)))))))))))))))))))))))))))
   2(2(0(1(0(1(0(1(0(1(1(0(2(1(1(0(0(0(0(0(1(2(1(x1))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(x1)))))))))))))))))))))))))))
   2(2(0(1(0(2(1(1(2(0(2(0(2(2(0(0(0(1(1(0(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(1(0(1(0(0(0(0(0(0(2(1(1(0(0(1(2(0(2(0(2(0(x1)))))))))))))))))))))))))))
   2(2(0(1(0(2(2(0(2(0(1(2(0(1(2(0(1(1(2(0(1(0(0(x1))))))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(2(1(2(0(0(1(0(2(2(1(0(0(0(1(1(2(0(0(x1)))))))))))))))))))))))))))
   2(2(0(2(0(0(0(1(2(0(0(2(2(2(0(0(1(0(1(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(x1)))))))))))))))))))))))))))
   2(2(0(2(1(0(0(1(1(0(2(2(0(1(1(2(1(0(1(0(1(2(0(x1))))))))))))))))))))))) -> 1(2(0(2(0(0(0(0(0(0(2(0(0(2(2(2(0(0(1(2(0(2(0(2(2(0(0(x1)))))))))))))))))))))))))))
   2(2(1(0(0(1(0(1(0(1(0(0(1(2(0(2(2(0(2(2(1(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(1(0(2(2(1(2(0(0(0(2(1(0(1(0(0(1(0(0(2(0(1(0(0(x1)))))))))))))))))))))))))))
   2(2(1(0(1(2(0(1(0(1(0(2(2(0(0(1(0(2(1(2(2(0(0(x1))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(0(0(1(1(0(1(2(1(0(1(1(1(0(1(0(1(0(0(0(x1))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(x1)))))))))))))))))))))))))))
   2(2(1(2(1(0(1(2(0(0(0(2(0(0(1(0(2(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(x1)))))))))))))))))))))))))))
   2(2(2(0(1(2(2(2(0(1(0(1(0(0(2(0(0(1(0(0(0(2(1(x1))))))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(0(1(0(1(0(2(0(1(0(1(0(0(1(2(1(1(1(2(x1)))))))))))))))))))))))))))
   2(2(2(2(1(1(0(2(0(0(1(1(0(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(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))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))


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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(0(0(1(2(2(2(0(1(1(0(0(1(0(0(1(2(1(2(2(0(x1))))))))))))))))))))))) -> 0(2(1(0(1(2(0(0(0(1(0(0(1(0(0(2(1(2(2(0(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))
0(0(0(0(1(2(0(1(2(0(0(2(1(0(2(2(0(1(0(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x1)))))))))))))))))))))))))))
0(0(0(0(1(2(0(2(0(0(2(0(1(1(0(2(2(2(0(0(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(1(0(2(0(1(1(0(0(1(1(1(2(0(1(0(1(0(2(0(0(1(1(x1)))))))))))))))))))))))))))
0(0(0(2(0(1(2(2(0(1(0(1(1(0(2(2(2(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(0(0(1(0(0(0(2(0(0(1(2(2(1(2(0(0(0(1(1(0(2(1(0(0(0(x1)))))))))))))))))))))))))))
0(0(1(0(2(1(1(1(1(0(0(1(2(2(2(0(0(0(1(0(2(0(1(x1))))))))))))))))))))))) -> 0(1(1(2(0(1(0(1(1(1(1(0(0(0(0(1(2(0(1(0(1(0(1(2(0(1(1(x1)))))))))))))))))))))))))))
0(0(1(1(2(2(0(0(2(1(1(2(0(1(0(2(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(x1)))))))))))))))))))))))))))
0(0(1(2(0(0(0(2(1(1(2(0(2(1(1(2(2(0(1(1(1(0(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(2(1(0(1(0(2(0(1(2(2(2(2(0(1(2(0(2(0(1(0(0(0(x1)))))))))))))))))))))))))))
0(0(1(2(2(2(2(0(0(0(0(0(0(0(2(0(2(2(1(2(0(0(0(x1))))))))))))))))))))))) -> 0(0(2(2(0(1(1(0(0(2(1(0(1(2(0(1(0(0(0(0(0(1(1(2(2(0(0(x1)))))))))))))))))))))))))))
0(0(2(0(0(2(1(1(1(2(2(1(2(1(0(0(1(0(2(1(0(0(0(x1))))))))))))))))))))))) -> 0(1(2(2(0(2(2(0(0(2(0(2(1(0(2(1(0(2(0(0(0(1(0(0(1(1(0(x1)))))))))))))))))))))))))))
0(0(2(0(2(0(1(0(2(1(0(1(0(0(2(0(0(2(1(1(1(2(2(x1))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(x1)))))))))))))))))))))))))))
0(0(2(1(0(0(1(1(2(2(0(1(0(1(1(1(0(1(0(1(0(2(1(x1))))))))))))))))))))))) -> 0(2(0(1(0(0(2(0(2(0(2(0(0(1(2(0(0(0(1(0(1(2(0(0(0(1(1(x1)))))))))))))))))))))))))))
0(1(0(0(0(0(0(1(1(1(1(0(1(1(0(2(2(1(0(0(0(1(2(x1))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(x1)))))))))))))))))))))))))))
0(1(0(0(1(0(2(2(0(0(1(1(1(2(1(1(1(2(0(0(1(1(1(x1))))))))))))))))))))))) -> 0(0(2(1(0(0(0(0(2(0(1(0(2(1(2(2(0(2(2(2(0(1(0(2(0(0(1(x1)))))))))))))))))))))))))))
0(1(0(0(2(0(2(1(1(0(2(1(0(1(2(0(0(1(1(2(0(1(2(x1))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(2(2(0(1(1(0(0(0(0(0(0(0(2(0(2(0(0(0(1(x1)))))))))))))))))))))))))))
0(1(0(0(2(1(2(0(2(1(0(1(0(2(2(1(2(1(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(0(0(1(2(1(2(2(0(0(0(2(0(1(0(1(0(2(2(2(0(0(2(0(x1)))))))))))))))))))))))))))
0(1(0(1(0(0(1(1(1(0(0(2(1(2(0(1(0(0(1(1(2(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(1(0(1(0(2(1(1(0(1(1(0(2(0(1(0(0(1(2(1(x1)))))))))))))))))))))))))))
0(1(0(1(1(0(0(0(0(2(1(1(2(1(0(0(2(2(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(1(0(2(0(1(1(1(0(2(1(0(1(0(0(1(0(0(1(0(x1)))))))))))))))))))))))))))
0(1(0(2(2(0(1(1(1(1(1(0(2(2(1(1(0(0(1(0(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(0(0(0(0(0(1(0(0(1(2(0(2(0(0(1(0(1(1(1(x1)))))))))))))))))))))))))))
0(1(1(0(0(0(2(1(2(1(0(0(2(0(2(0(2(2(0(0(1(0(2(x1))))))))))))))))))))))) -> 0(0(1(0(2(0(1(2(0(2(0(1(0(1(0(2(2(2(1(2(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
0(1(1(0(2(1(0(0(1(2(0(2(1(0(1(0(2(0(1(1(0(2(1(x1))))))))))))))))))))))) -> 0(2(1(0(0(0(0(0(2(2(0(0(0(0(2(2(0(1(2(0(1(2(0(0(0(0(0(x1)))))))))))))))))))))))))))
0(1(1(1(2(0(0(2(2(1(2(0(2(1(0(2(1(0(1(2(0(1(0(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x1)))))))))))))))))))))))))))
0(1(1(2(0(1(0(0(0(0(1(2(2(1(2(0(1(2(0(0(2(1(0(x1))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(x1)))))))))))))))))))))))))))
0(1(1(2(1(1(0(0(1(2(2(0(2(0(1(0(2(1(1(0(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(0(1(1(2(1(1(0(0(0(2(0(0(1(0(2(1(2(0(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
0(1(2(1(1(0(0(2(0(0(0(0(1(2(1(0(0(1(1(0(1(2(0(x1))))))))))))))))))))))) -> 0(1(0(1(1(1(0(0(1(1(2(0(1(0(0(1(1(1(0(0(0(0(0(0(1(2(0(x1)))))))))))))))))))))))))))
0(1(2(1(1(2(1(1(0(2(2(2(1(0(2(2(0(0(1(1(1(0(0(x1))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(x1)))))))))))))))))))))))))))
0(1(2(1(2(2(1(1(0(1(0(0(1(1(0(0(0(0(0(2(0(0(2(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
0(1(2(2(0(0(0(0(2(1(0(0(2(1(1(2(1(2(0(0(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(1(0(0(0(1(0(1(1(2(0(1(2(0(1(0(0(0(2(2(0(0(0(1(1(x1)))))))))))))))))))))))))))
0(1(2(2(1(0(1(0(0(1(1(0(0(2(0(2(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 0(2(0(1(2(0(2(0(0(0(1(0(0(2(0(0(1(0(1(0(0(0(0(2(2(2(0(x1)))))))))))))))))))))))))))
0(1(2(2(1(0(1(2(1(0(1(2(0(0(2(0(2(0(1(1(1(0(0(x1))))))))))))))))))))))) -> 0(2(2(1(2(1(0(1(0(1(0(2(0(2(0(2(0(2(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
0(1(2(2(1(0(2(2(1(2(1(2(0(0(0(0(1(2(1(2(1(2(0(x1))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(x1)))))))))))))))))))))))))))
0(1(2(2(1(2(0(2(2(0(1(2(0(0(1(2(2(0(1(0(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(x1)))))))))))))))))))))))))))
0(2(1(1(0(1(2(1(0(0(2(0(0(1(1(2(1(0(0(0(0(2(0(x1))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(1(0(1(0(1(0(1(1(1(0(0(2(1(1(1(0(0(1(0(x1)))))))))))))))))))))))))))
0(2(2(0(2(0(0(1(2(1(1(0(0(2(0(1(2(0(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(x1)))))))))))))))))))))))))))
0(2(2(1(1(0(2(0(0(0(0(0(1(0(1(2(1(2(2(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(2(1(0(0(1(1(0(1(0(2(2(0(2(1(2(0(1(2(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
1(0(0(0(0(1(2(0(1(0(0(0(0(0(0(1(2(0(0(1(1(2(2(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(0(1(0(0(1(0(0(0(2(1(0(1(0(2(0(0(1(0(x1)))))))))))))))))))))))))))
1(0(0(1(0(1(0(1(2(0(1(1(0(0(0(0(0(2(2(2(1(0(1(x1))))))))))))))))))))))) -> 0(2(0(2(0(0(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(x1)))))))))))))))))))))))))))
1(0(0(1(0(1(2(0(2(0(2(2(2(1(0(1(0(2(0(2(0(0(0(x1))))))))))))))))))))))) -> 0(1(2(2(0(1(0(1(1(0(0(1(0(2(0(0(1(1(1(0(2(0(2(0(0(1(0(x1)))))))))))))))))))))))))))
1(0(1(0(2(0(0(1(1(0(0(2(2(1(0(2(0(0(0(1(1(1(1(x1))))))))))))))))))))))) -> 2(1(0(1(0(0(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))
1(0(1(1(1(1(0(2(2(2(0(0(1(2(0(1(0(0(2(0(0(1(0(x1))))))))))))))))))))))) -> 0(0(0(0(2(1(2(2(2(0(0(2(0(0(0(1(0(0(1(0(0(2(1(0(1(0(0(x1)))))))))))))))))))))))))))
1(0(1(2(2(0(1(0(2(2(0(2(0(2(0(1(2(0(2(2(2(0(0(x1))))))))))))))))))))))) -> 1(0(0(1(2(0(0(1(1(1(2(0(1(0(1(2(2(1(1(2(0(0(0(0(0(2(0(x1)))))))))))))))))))))))))))
1(0(2(0(0(0(2(1(1(0(0(1(2(1(1(1(0(2(0(0(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(1(0(2(0(0(2(0(2(0(1(0(2(0(2(2(1(1(0(1(1(0(x1)))))))))))))))))))))))))))
1(0(2(1(0(1(1(0(0(0(1(1(0(2(0(0(1(2(0(1(2(1(0(x1))))))))))))))))))))))) -> 0(1(2(0(0(0(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(x1)))))))))))))))))))))))))))
1(1(0(0(0(0(0(0(0(2(1(0(1(1(0(0(2(2(1(1(1(1(1(x1))))))))))))))))))))))) -> 0(1(0(2(0(1(1(0(1(0(0(0(2(1(0(0(0(1(0(1(0(1(2(2(1(0(0(x1)))))))))))))))))))))))))))
1(1(0(0(1(0(0(0(0(0(1(0(0(2(0(2(0(2(2(0(2(2(1(x1))))))))))))))))))))))) -> 1(2(0(1(0(1(0(0(0(2(2(2(2(0(1(0(1(0(0(0(1(1(0(0(1(0(1(x1)))))))))))))))))))))))))))
1(1(0(0(1(0(0(1(1(1(1(0(0(0(1(0(0(1(2(2(1(0(2(x1))))))))))))))))))))))) -> 2(1(0(1(0(1(1(0(0(0(1(0(1(2(0(1(0(1(0(1(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))
1(1(1(2(2(0(2(1(0(0(1(0(2(0(0(2(0(2(2(0(1(0(0(x1))))))))))))))))))))))) -> 2(2(1(0(1(0(2(0(2(1(0(0(2(1(0(1(0(0(1(0(2(1(1(0(1(0(0(x1)))))))))))))))))))))))))))
1(2(0(0(1(0(2(1(0(1(0(0(1(1(0(2(0(0(1(0(0(1(2(x1))))))))))))))))))))))) -> 2(0(1(2(0(1(0(0(0(1(0(1(1(0(0(0(1(1(0(1(1(0(0(0(0(0(1(x1)))))))))))))))))))))))))))
1(2(1(0(0(2(1(0(0(0(0(1(1(0(1(2(1(0(0(1(0(0(1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(2(0(0(0(1(1(0(1(1(0(0(0(1(2(0(0(1(0(x1)))))))))))))))))))))))))))
1(2(1(0(0(2(2(2(0(0(1(1(0(2(0(0(2(0(0(1(0(1(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(1(2(2(0(2(1(2(0(1(1(0(0(1(0(0(1(0(0(0(0(0(0(x1)))))))))))))))))))))))))))
1(2(1(0(1(0(0(0(0(1(0(2(2(1(0(0(2(2(1(2(0(0(0(x1))))))))))))))))))))))) -> 2(1(0(0(2(0(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(x1)))))))))))))))))))))))))))
1(2(2(0(2(0(0(2(0(2(2(0(1(0(0(1(2(2(1(0(2(0(0(x1))))))))))))))))))))))) -> 1(0(2(2(0(2(0(0(2(0(0(1(0(1(1(2(1(2(0(1(0(1(2(0(1(0(0(x1)))))))))))))))))))))))))))
2(0(0(1(1(0(1(1(0(0(2(2(0(0(0(1(0(0(2(1(1(2(2(x1))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(x1)))))))))))))))))))))))))))
2(0(0(1(1(1(0(1(0(0(0(1(2(1(2(0(2(2(1(1(2(0(0(x1))))))))))))))))))))))) -> 2(1(0(2(0(2(2(2(1(1(0(0(1(1(2(0(1(0(0(0(1(2(0(1(0(1(0(x1)))))))))))))))))))))))))))
2(0(0(2(1(1(1(2(0(1(0(1(2(1(1(0(1(0(0(0(1(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
2(0(1(1(1(0(2(0(1(0(1(1(1(0(2(0(2(0(2(0(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(2(1(1(0(1(1(0(2(0(2(1(0(0(0(0(1(0(2(0(0(0(0(2(0(x1)))))))))))))))))))))))))))
2(0(1(2(2(0(0(2(1(2(0(1(1(2(0(1(0(1(1(0(1(0(0(x1))))))))))))))))))))))) -> 2(0(0(0(2(0(0(2(2(2(0(1(0(0(0(0(0(2(2(0(0(1(1(0(1(1(0(x1)))))))))))))))))))))))))))
2(1(0(0(0(0(2(0(1(2(0(2(0(1(1(0(1(1(0(0(0(1(1(x1))))))))))))))))))))))) -> 0(1(0(0(0(2(2(1(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(1(0(0(x1)))))))))))))))))))))))))))
2(1(2(0(0(1(0(2(0(0(1(1(1(2(1(0(1(2(0(2(0(0(0(x1))))))))))))))))))))))) -> 2(0(0(1(0(0(1(0(2(0(2(0(0(0(2(1(2(2(0(1(0(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
2(2(0(0(0(2(2(1(1(1(0(1(1(0(1(0(2(0(1(1(1(0(1(x1))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(x1)))))))))))))))))))))))))))
2(2(0(1(0(1(0(1(0(1(1(0(2(1(1(0(0(0(0(0(1(2(1(x1))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(x1)))))))))))))))))))))))))))
2(2(0(1(0(2(1(1(2(0(2(0(2(2(0(0(0(1(1(0(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(1(0(1(0(0(0(0(0(0(2(1(1(0(0(1(2(0(2(0(2(0(x1)))))))))))))))))))))))))))
2(2(0(1(0(2(2(0(2(0(1(2(0(1(2(0(1(1(2(0(1(0(0(x1))))))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(2(1(2(0(0(1(0(2(2(1(0(0(0(1(1(2(0(0(x1)))))))))))))))))))))))))))
2(2(0(2(0(0(0(1(2(0(0(2(2(2(0(0(1(0(1(0(2(2(0(x1))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(x1)))))))))))))))))))))))))))
2(2(0(2(1(0(0(1(1(0(2(2(0(1(1(2(1(0(1(0(1(2(0(x1))))))))))))))))))))))) -> 1(2(0(2(0(0(0(0(0(0(2(0(0(2(2(2(0(0(1(2(0(2(0(2(2(0(0(x1)))))))))))))))))))))))))))
2(2(1(0(0(1(0(1(0(1(0(0(1(2(0(2(2(0(2(2(1(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(1(0(2(2(1(2(0(0(0(2(1(0(1(0(0(1(0(0(2(0(1(0(0(x1)))))))))))))))))))))))))))
2(2(1(0(1(2(0(1(0(1(0(2(2(0(0(1(0(2(1(2(2(0(0(x1))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(x1)))))))))))))))))))))))))))
2(2(1(1(0(0(1(1(0(1(2(1(0(1(1(1(0(1(0(1(0(0(0(x1))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(x1)))))))))))))))))))))))))))
2(2(1(2(1(0(1(2(0(0(0(2(0(0(1(0(2(1(0(1(0(1(0(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(x1)))))))))))))))))))))))))))
2(2(2(0(1(2(2(2(0(1(0(1(0(0(2(0(0(1(0(0(0(2(1(x1))))))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(0(1(0(1(0(2(0(1(0(1(0(0(1(2(1(1(1(2(x1)))))))))))))))))))))))))))
2(2(2(2(1(1(0(2(0(0(1(1(0(0(2(0(0(0(0(0(2(0(1(x1))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(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))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
1 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
2 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
hole_0:2:1:encArg:encode_0:encode_1:encode_21_3 :: 0:2:1:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2
gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2

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

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

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

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

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

Types:
0 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
1 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
2 :: 0:2:1:encArg:encode_0:encode_1:encode_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 0:2:1:encArg:encode_0:encode_1:encode_2
hole_0:2:1:encArg:encode_0:encode_1:encode_21_3 :: 0:2:1:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2
gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2


Generator Equations:
gen_cons_0:cons_1:cons_23_3(0) <=> hole_cons_0:cons_1:cons_22_3
gen_cons_0:cons_1:cons_23_3(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_23_3(x))


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

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

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(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)

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:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(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)

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:

   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 1(0(2(2(0(2(0(0(2(0(0(1(0(1(1(2(1(2(0(1(0(1(2(0(1(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1(2(0(2(0(0(0(0(0(0(2(0(0(2(2(2(0(0(1(2(0(2(0(2(2(0(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(1(0(2(0(0(2(0(2(0(1(0(2(0(2(2(1(1(0(1(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2(0(0(1(0(0(1(0(2(0(2(0(0(0(2(1(2(2(0(1(0(2(2(1(0(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2(0(0(0(2(0(0(2(2(2(0(1(0(0(0(0(0(2(2(0(0(1(1(0(1(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(1(0(1(0(0(0(0(0(0(2(1(1(0(0(1(2(0(2(0(2(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(0(0(2(1(2(2(2(0(0(2(0(0(0(1(0(0(1(0(0(2(1(0(1(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(2(1(2(0(0(1(0(2(2(1(0(0(0(1(1(2(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(x1))))))))))))))))))))))))))) [1]
   1(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2(2(1(0(1(0(2(0(2(1(0(0(2(1(0(1(0(0(1(0(2(1(1(0(1(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(0(1(0(1(0(2(0(1(0(1(0(0(1(2(1(1(1(2(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 1(1(1(0(1(0(2(2(1(2(0(0(0(2(1(0(1(0(0(1(0(0(2(0(1(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(2(2(0(1(1(0(0(0(0(0(0(0(2(0(2(0(0(0(1(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(2(1(1(0(1(1(0(2(0(2(1(0(0(0(0(1(0(2(0(0(0(0(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0(2(2(1(2(1(0(1(0(1(0(2(0(2(0(2(0(2(0(1(0(1(0(2(0(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(1(0(1(0(1(0(1(1(1(0(0(2(1(1(1(0(0(1(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(1(2(2(0(1(0(1(1(0(0(1(0(2(0(0(1(1(1(0(2(0(2(0(0(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 0(1(1(2(0(1(0(1(1(1(1(0(0(0(0(1(2(0(1(0(1(0(1(2(0(1(1(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(0(1(0(0(1(0(0(0(2(1(0(1(0(2(0(0(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(0(0(0(0(0(1(0(0(1(2(0(2(0(0(1(0(1(1(1(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(1(0(1(1(2(1(1(0(0(0(2(0(0(1(0(2(1(2(0(2(0(2(0(1(0(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0(1(0(0(0(2(2(1(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(1(0(0(x1))))))))))))))))))))))))))) [1]
   1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(0(1(0(1(1(0(0(0(1(0(1(2(0(1(0(1(0(1(0(1(1(0(0(0(1(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 2(1(0(2(0(2(2(2(1(1(0(0(1(1(2(0(1(0(0(0(1(2(0(1(0(1(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(1(2(0(0(1(2(1(2(2(0(0(0(2(0(1(0(1(0(2(2(2(0(0(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(2(1(0(0(0(1(0(1(1(2(0(1(2(0(1(0(0(0(2(2(0(0(0(1(1(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(2(1(0(0(1(1(0(1(0(2(2(0(2(1(2(0(1(2(0(1(2(1(0(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0(0(1(0(2(0(1(2(0(2(0(1(0(1(0(2(2(2(1(2(0(1(0(0(0(0(2(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2(0(1(2(0(1(0(0(0(1(0(1(1(0(0(0(1(1(0(1(1(0(0(0(0(0(1(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(1(2(2(0(2(2(0(0(2(0(2(1(0(2(1(0(2(0(0(0(1(0(0(1(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0(2(0(1(2(0(2(0(0(0(1(0(0(2(0(0(1(0(1(0(0(0(0(2(2(2(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 1(0(0(1(2(0(0(1(1(1(2(0(1(0(1(2(2(1(1(2(0(0(0(0(0(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(1(0(1(0(2(1(1(0(1(1(0(2(0(1(0(0(1(2(1(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0(2(0(1(0(0(2(0(2(0(2(0(0(1(2(0(0(0(1(0(1(2(0(0(0(1(1(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(1(0(2(0(1(1(1(0(2(1(0(1(0(0(1(0(0(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 0(1(0(1(1(1(0(0(1(1(2(0(1(0(0(1(1(1(0(0(0(0(0(0(1(2(0(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(2(0(0(0(1(1(0(1(1(0(0(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))) [1]
   1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0(1(0(2(0(1(1(0(1(0(0(0(2(1(0(0(0(1(0(1(0(1(2(2(1(0(0(x1))))))))))))))))))))))))))) [1]
   1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 1(2(0(1(0(1(0(0(0(2(2(2(2(0(1(0(1(0(0(0(1(1(0(0(1(0(1(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0(1(0(0(2(1(0(2(0(1(1(0(0(1(1(1(2(0(1(0(1(0(2(0(0(1(1(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(0(0(1(0(0(0(2(0(0(1(2(2(1(2(0(0(0(1(1(0(2(1(0(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0(2(1(0(0(0(0(0(2(2(0(0(0(0(2(2(0(1(2(0(1(2(0(0(0(0(0(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1(0(0(1(0(1(2(2(0(2(1(2(0(1(1(0(0(1(0(0(1(0(0(0(0(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0(1(1(0(2(2(1(0(1(0(2(0(1(2(2(2(2(0(1(2(0(2(0(1(0(0(0(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2(1(0(0(2(0(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0(1(2(0(0(0(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0(2(1(0(1(2(0(0(0(1(0(0(1(0(0(2(1(2(2(0(0(0(0(0(1(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0(0(2(1(0(0(0(0(2(0(1(0(2(1(2(2(0(2(2(2(0(1(0(2(0(0(1(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(0(1(0(0(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(2(2(0(1(1(0(0(2(1(0(1(2(0(1(0(0(0(0(0(1(1(2(2(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0(2(0(2(0(0(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(x1))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0]
   encode_0(x_1) -> 0(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]

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

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

0 => 0'
1 => 1'
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:

   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(2'(2'(2'(2'(0'(1'(1'(0'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(0'(0'(1'(0'(2'(0'(2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(2'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(1'(2'(2'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(0'(1'(2'(2'(0'(0'(2'(2'(1'(0'(0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(2'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(1'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
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   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(2'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(2'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(0'(0'(0'(0'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(2'(2'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(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]

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:

   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(2'(2'(2'(2'(0'(1'(1'(0'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(0'(0'(1'(0'(2'(0'(2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(2'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(1'(2'(2'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(0'(1'(2'(2'(0'(0'(2'(2'(1'(0'(0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(2'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(1'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(2'(0'(0'(1'(0'(2'(2'(1'(0'(0'(0'(1'(1'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(0'(1'(0'(1'(1'(1'(2'(2'(2'(0'(0'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0'(0'(1'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(2'(0'(1'(0'(2'(2'(2'(0'(1'(1'(0'(0'(1'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 0'(2'(2'(0'(1'(0'(0'(2'(2'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 1'(1'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(2'(1'(0'(1'(0'(1'(0'(2'(0'(2'(0'(2'(0'(2'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0'(0'(2'(1'(1'(2'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(2'(1'(1'(1'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(0'(1'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(1'(0'(2'(1'(2'(0'(2'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(0'(2'(2'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(2'(0'(1'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1'(1'(0'(1'(0'(1'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(0'(0'(1'(2'(1'(2'(2'(0'(0'(0'(2'(0'(1'(0'(1'(0'(2'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(2'(2'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(0'(1'(2'(0'(2'(0'(1'(0'(1'(0'(2'(2'(2'(1'(2'(0'(1'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(2'(2'(0'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(0'(0'(0'(1'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(2'(0'(2'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(0'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(1'(0'(0'(1'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0'(2'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(2'(0'(1'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(2'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(2'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(2'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(0'(0'(0'(0'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(2'(2'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(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]

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

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

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

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

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

(c) The following functions are completely defined:

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

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_0(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]

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:

   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(2'(2'(2'(2'(0'(1'(1'(0'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
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   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0'(2'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(2'(0'(1'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(2'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(2'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(2'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(0'(0'(0'(0'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(2'(2'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(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]
   encArg(v0) -> const [0]
   encode_0(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]

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

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

(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:

   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_0(x1'))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1'))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(x1''))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1''))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(x11))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(x12))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x12))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_0(x13))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x13))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_2(x14))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x14))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(x15))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x15))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(x16))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x16))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(x17))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x17))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(x18))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x18))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
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   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(x11921))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x11921))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x11922))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11922))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(x11923))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x11923))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(x11924))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x11924))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_0(c_1(x11925))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11925))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(c_1(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(const)))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(2'(2'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_12))) -> 1'(0'(encArg(x_12))) [0]
   encArg(cons_1(cons_1(x_13))) -> 1'(1'(encArg(x_13))) [0]
   encArg(cons_1(cons_2(x_14))) -> 1'(2'(encArg(x_14))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_15))) -> 2'(0'(encArg(x_15))) [0]
   encArg(cons_2(cons_1(x_16))) -> 2'(1'(encArg(x_16))) [0]
   encArg(cons_2(cons_2(x_17))) -> 2'(2'(encArg(x_17))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encode_0(cons_0(x_18)) -> 0'(0'(encArg(x_18))) [0]
   encode_0(cons_1(x_19)) -> 0'(1'(encArg(x_19))) [0]
   encode_0(cons_2(x_110)) -> 0'(2'(encArg(x_110))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_111)) -> 1'(0'(encArg(x_111))) [0]
   encode_1(cons_1(x_112)) -> 1'(1'(encArg(x_112))) [0]
   encode_1(cons_2(x_113)) -> 1'(2'(encArg(x_113))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_2(cons_0(x_114)) -> 2'(0'(encArg(x_114))) [0]
   encode_2(cons_1(x_115)) -> 2'(1'(encArg(x_115))) [0]
   encode_2(cons_2(x_116)) -> 2'(2'(encArg(x_116))) [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]
   encArg(v0) -> const [0]
   encode_0(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]

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

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 }-> 0'(2'(2'(1'(2'(1'(0'(1'(0'(1'(0'(2'(0'(2'(0'(2'(0'(2'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(2'(0'(1'(0'(0'(2'(2'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(0'(0'(0'(0'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(2'(0'(1'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(2'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(0'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(1'(2'(2'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(2'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1669))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1669))))))))))))))))))))))))))))))))))))))))))), x1669 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x1672))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1672))))))))))))))))))))))))))))))))))))))))))), x1672 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1681))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1681))))))))))))))))))))))))))))))))))))))))))), x1681 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1679))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1679 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1679)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x1673))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1673 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1673)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x1677))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1677 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1677)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1666))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1666))))))))))))))))))))))))))))))))))))))))))), x1666 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x1674))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1674))))))))))))))))))))))))))))))))))))))))))), x1674 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1678))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1678))))))))))))))))))))))))))))))))))))))))))), x1678 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1682))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1682))))))))))))))))))))))))))))))))))))))))))), x1682 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x1670))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1670))))))))))))))))))))))))))))))))))))))))))), x1670 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1680))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1680))))))))))))))))))))))))))))))))))))))))))), x1680 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x1676))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1676))))))))))))))))))))))))))))))))))))))))))), x1676 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1675))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1675 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1675)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x1671))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1671 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1671)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x1668))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1668 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1668)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1667))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1667 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1667)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x11283))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11283 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11283)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x11286))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11286))))))))))))))))))))))))))))))))))))))))))), x11286 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x11295))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11295))))))))))))))))))))))))))))))))))))))))))), x11295 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11293))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11293 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11293)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x11287))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11287))))))))))))))))))))))))))))))))))))))))))), x11287 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x11291))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11291))))))))))))))))))))))))))))))))))))))))))), x11291 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x11280))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11280))))))))))))))))))))))))))))))))))))))))))), x11280 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x11288))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11288))))))))))))))))))))))))))))))))))))))))))), x11288 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x11292))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11292 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11292)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11296))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11296 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11296)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x11284))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11284))))))))))))))))))))))))))))))))))))))))))), x11284 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x11294))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11294))))))))))))))))))))))))))))))))))))))))))), x11294 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x11290))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11290 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11290)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x11289))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11289))))))))))))))))))))))))))))))))))))))))))), x11289 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x11285))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11285 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11285)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11282))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11282))))))))))))))))))))))))))))))))))))))))))), x11282 >= 0
   0'(z) -{ 2 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x11281))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11281 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11281)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(2'(0'(2'(2'(0'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(0'(0'(0'(1'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1822))))))))))))))))))))))))))))))))))))))))))), x1822 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1825)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1834))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1834 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1834)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1832))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1832 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1832)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1826))))))))))))))))))))))))))))))))))))))))))), x1826 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1830))))))))))))))))))))))))))))))))))))))))))), x1830 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1819))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1819 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x1827))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1827 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1831)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1835))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1835))))))))))))))))))))))))))))))))))))))))))), x1835 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x1823))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1823 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1833))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1833 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1833)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1829)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1828))))))))))))))))))))))))))))))))))))))))))), x1828 >= 0
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1824)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1821)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1820))))))))))))))))))))))))))))))))))))))))))), x1820 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(2'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(2'(0'(1'(0'(2'(2'(2'(0'(1'(1'(0'(0'(1'(2'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x11538))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11538 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11538)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x11541))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11541 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11541)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x11550))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11550))))))))))))))))))))))))))))))))))))))))))), x11550 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11548))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11548 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11548)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x11542))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11542 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11542)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x11546))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11546 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11546)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x11535))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11535))))))))))))))))))))))))))))))))))))))))))), x11535 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x11543))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11543))))))))))))))))))))))))))))))))))))))))))), x11543 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x11547))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11547))))))))))))))))))))))))))))))))))))))))))), x11547 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11551))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11551 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11551)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x11539))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11539))))))))))))))))))))))))))))))))))))))))))), x11539 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x11549))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11549 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11549)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x11545))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11545 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11545)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x11544))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11544 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11544)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x11540))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11540 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11540)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11537))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11537))))))))))))))))))))))))))))))))))))))))))), x11537 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x11536))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11536))))))))))))))))))))))))))))))))))))))))))), x11536 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(2'(2'(2'(2'(0'(1'(1'(0'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(2'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1584))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1584 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1584)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x1587))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1587 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1587)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1596))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1596 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1596)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1594))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1594))))))))))))))))))))))))))))))))))))))))))), x1594 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x1588))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1588))))))))))))))))))))))))))))))))))))))))))), x1588 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x1592))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1592))))))))))))))))))))))))))))))))))))))))))), x1592 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1581))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1581))))))))))))))))))))))))))))))))))))))))))), x1581 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x1589))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1589 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1589)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1593))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1593 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1593)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1597))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1597 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1597)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x1585))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1585 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1585)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1595))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1595))))))))))))))))))))))))))))))))))))))))))), x1595 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x1591))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1591))))))))))))))))))))))))))))))))))))))))))), x1591 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1590))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1590))))))))))))))))))))))))))))))))))))))))))), x1590 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x1586))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1586))))))))))))))))))))))))))))))))))))))))))), x1586 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x1583))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1583))))))))))))))))))))))))))))))))))))))))))), x1583 >= 0
   0'(z) -{ 2 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1582))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1582))))))))))))))))))))))))))))))))))))))))))), x1582 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(2'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(2'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(2'(1'(1'(1'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(2'(2'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11077)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11080)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11089))))))))))))))))))))))))))))))))))))))))))), x11089 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11087))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x11087 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11081))))))))))))))))))))))))))))))))))))))))))), x11081 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x11085))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x11085 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x11074))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11074 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11074)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11082))))))))))))))))))))))))))))))))))))))))))), x11082 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11086)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11090))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11090 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11078))))))))))))))))))))))))))))))))))))))))))), x11078 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11088))))))))))))))))))))))))))))))))))))))))))), x11088 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11084)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11083)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11079)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11076))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11076 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11076)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x11075))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11075))))))))))))))))))))))))))))))))))))))))))), x11075 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x11912))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11912 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11912)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x11915))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11915))))))))))))))))))))))))))))))))))))))))))), x11915 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x11924))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11924 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11924)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11922))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11922 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11922)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x11916))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11916))))))))))))))))))))))))))))))))))))))))))), x11916 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x11920))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11920))))))))))))))))))))))))))))))))))))))))))), x11920 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x11909))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11909 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11909)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x11917))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11917))))))))))))))))))))))))))))))))))))))))))), x11917 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x11921))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11921 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11921)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11925))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11925 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11925)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x11913))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11913 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11913)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x11923))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11923 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11923)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x11919))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11919))))))))))))))))))))))))))))))))))))))))))), x11919 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x11918))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11918))))))))))))))))))))))))))))))))))))))))))), x11918 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x11914))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11914))))))))))))))))))))))))))))))))))))))))))), x11914 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11911))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11911 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11911)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x11910))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11910))))))))))))))))))))))))))))))))))))))))))), x11910 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1873))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1873))))))))))))))))))))))))))))))))))))))))))), x1873 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x1876))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1876))))))))))))))))))))))))))))))))))))))))))), x1876 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1885))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1885))))))))))))))))))))))))))))))))))))))))))), x1885 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1883))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1883))))))))))))))))))))))))))))))))))))))))))), x1883 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x1877))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1877))))))))))))))))))))))))))))))))))))))))))), x1877 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x1881))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1881))))))))))))))))))))))))))))))))))))))))))), x1881 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1870))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1870))))))))))))))))))))))))))))))))))))))))))), x1870 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x1878))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1878))))))))))))))))))))))))))))))))))))))))))), x1878 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1882))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1882 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1882)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1886))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1886 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1886)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x1874))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1874 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1874)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1884))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1884 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1884)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x1880))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1880))))))))))))))))))))))))))))))))))))))))))), x1880 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1879))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1879))))))))))))))))))))))))))))))))))))))))))), x1879 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x1875))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1875))))))))))))))))))))))))))))))))))))))))))), x1875 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x1872))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1872 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1872)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1871))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1871))))))))))))))))))))))))))))))))))))))))))), x1871 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x12))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12))))))))))))))))))))))))))))))))))))))))))), x12 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x15))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x15 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x15)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x114))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x114 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x114)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x112))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x112 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x112)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x16))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x16))))))))))))))))))))))))))))))))))))))))))), x16 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x110))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x110))))))))))))))))))))))))))))))))))))))))))), x110 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1'))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1')))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x17))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x17 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x17)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x111))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x111))))))))))))))))))))))))))))))))))))))))))), x111 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x115))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x115))))))))))))))))))))))))))))))))))))))))))), x115 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x13))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x13 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x113))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x113 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x113)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x19))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x19 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x19)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x18))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x18))))))))))))))))))))))))))))))))))))))))))), x18 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x14))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x14))))))))))))))))))))))))))))))))))))))))))), x14 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11))))))))))))))))))))))))))))))))))))))))))), x11 >= 0
   0'(z) -{ 2 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1''))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1'')))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(1'(2'(1'(2'(2'(0'(0'(0'(2'(0'(1'(0'(1'(0'(2'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(0'(1'(2'(0'(2'(0'(1'(0'(1'(0'(2'(2'(2'(1'(2'(0'(1'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x11266))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11266))))))))))))))))))))))))))))))))))))))))))), x11266 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x11269))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11269 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11269)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x11278))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11278))))))))))))))))))))))))))))))))))))))))))), x11278 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11276))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11276))))))))))))))))))))))))))))))))))))))))))), x11276 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x11270))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11270))))))))))))))))))))))))))))))))))))))))))), x11270 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x11274))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11274))))))))))))))))))))))))))))))))))))))))))), x11274 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x11263))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11263 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11263)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x11271))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11271 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11271)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x11275))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11275 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11275)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11279))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11279)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x11267))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11267 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11267)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x11277))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11277))))))))))))))))))))))))))))))))))))))))))), x11277 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x11273))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11273 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11273)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x11272))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11272 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11272)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x11268))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11268 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11268)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11265))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11265 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11265)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x11264))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11264 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11264)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(1'(0'(2'(1'(2'(0'(2'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(0'(1'(1'(1'(2'(2'(2'(0'(0'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(1'(2'(2'(0'(0'(2'(2'(1'(0'(0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1155))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1155 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1155)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1158))))))))))))))))))))))))))))))))))))))))))), x1158 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1167)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1165))))))))))))))))))))))))))))))))))))))))))), x1165 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1159)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x1163))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1163 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1152)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1160))))))))))))))))))))))))))))))))))))))))))), x1160 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1164)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1168))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1168))))))))))))))))))))))))))))))))))))))))))), x1168 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1156)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1166)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1162)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1161))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1161 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x1157))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1157 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1154)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1153))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1153))))))))))))))))))))))))))))))))))))))))))), x1153 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1958))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1958 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1958)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x1961))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1961 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1961)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1970))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1970 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1970)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1968))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1968 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1968)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x1962))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1962 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1962)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x1966))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1966))))))))))))))))))))))))))))))))))))))))))), x1966 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1955))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1955 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1955)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x1963))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1963))))))))))))))))))))))))))))))))))))))))))), x1963 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1967))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1967))))))))))))))))))))))))))))))))))))))))))), x1967 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1971))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1971 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1971)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x1959))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1959 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1959)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1969))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1969 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1969)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x1965))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1965 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1965)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1964))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1964 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1964)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x1960))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1960 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1960)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x1957))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1957))))))))))))))))))))))))))))))))))))))))))), x1957 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1956))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1956))))))))))))))))))))))))))))))))))))))))))), x1956 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x11147))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11147))))))))))))))))))))))))))))))))))))))))))), x11147 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x11150))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11150))))))))))))))))))))))))))))))))))))))))))), x11150 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x11159))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11159 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11159)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11157))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11157 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11157)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11151))))))))))))))))))))))))))))))))))))))))))), x11151 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x11155))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11155 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11155)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x11144))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x11144 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x11152))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11152 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11152)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x11156))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11156))))))))))))))))))))))))))))))))))))))))))), x11156 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11160))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11160))))))))))))))))))))))))))))))))))))))))))), x11160 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11148))))))))))))))))))))))))))))))))))))))))))), x11148 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x11158))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11158))))))))))))))))))))))))))))))))))))))))))), x11158 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x11154))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11154 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11154)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x11153))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11153))))))))))))))))))))))))))))))))))))))))))), x11153 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x11149))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x11149 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11146))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x11146 >= 0
   1'(z) -{ 2 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11145)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x11504))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11504 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11504)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x11507))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11507))))))))))))))))))))))))))))))))))))))))))), x11507 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x11516))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11516 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11516)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11514))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11514))))))))))))))))))))))))))))))))))))))))))), x11514 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x11508))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11508))))))))))))))))))))))))))))))))))))))))))), x11508 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x11512))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11512))))))))))))))))))))))))))))))))))))))))))), x11512 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x11501))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11501))))))))))))))))))))))))))))))))))))))))))), x11501 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x11509))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11509))))))))))))))))))))))))))))))))))))))))))), x11509 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x11513))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11513))))))))))))))))))))))))))))))))))))))))))), x11513 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11517))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11517))))))))))))))))))))))))))))))))))))))))))), x11517 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x11505))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11505))))))))))))))))))))))))))))))))))))))))))), x11505 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x11515))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11515))))))))))))))))))))))))))))))))))))))))))), x11515 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x11511))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11511 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11511)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x11510))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11510))))))))))))))))))))))))))))))))))))))))))), x11510 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x11506))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11506 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11506)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11503))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11503))))))))))))))))))))))))))))))))))))))))))), x11503 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x11502))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11502 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11502)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(2'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(2'(0'(1'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x11589))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x11589 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x11592))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11592))))))))))))))))))))))))))))))))))))))))))), x11592 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x11601))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11601 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11601)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11599))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11599 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11599)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x11593))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11593))))))))))))))))))))))))))))))))))))))))))), x11593 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x11597))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11597 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11597)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11586)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x11594))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11594))))))))))))))))))))))))))))))))))))))))))), x11594 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x11598))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11598))))))))))))))))))))))))))))))))))))))))))), x11598 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11602))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11602))))))))))))))))))))))))))))))))))))))))))), x11602 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x11590))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x11590 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x11600))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11600))))))))))))))))))))))))))))))))))))))))))), x11600 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x11596))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11596))))))))))))))))))))))))))))))))))))))))))), x11596 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x11595))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11595 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11595)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x11591))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11591))))))))))))))))))))))))))))))))))))))))))), x11591 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11588))))))))))))))))))))))))))))))))))))))))))), x11588 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11587)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(1'(0'(0'(1'(0'(2'(0'(2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(2'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(0'(1'(0'(1'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(2'(0'(0'(1'(0'(2'(2'(1'(0'(0'(0'(1'(1'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x11521))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11521))))))))))))))))))))))))))))))))))))))))))), x11521 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x11524))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11524))))))))))))))))))))))))))))))))))))))))))), x11524 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x11533))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11533))))))))))))))))))))))))))))))))))))))))))), x11533 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x11531))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11531))))))))))))))))))))))))))))))))))))))))))), x11531 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x11525))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11525))))))))))))))))))))))))))))))))))))))))))), x11525 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x11529))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11529))))))))))))))))))))))))))))))))))))))))))), x11529 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x11518))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11518 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11518)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x11526))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11526 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11526)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x11530))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11530 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11530)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x11534))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11534 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11534)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x11522))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11522))))))))))))))))))))))))))))))))))))))))))), x11522 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x11532))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11532 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11532)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x11528))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11528 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11528)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x11527))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11527))))))))))))))))))))))))))))))))))))))))))), x11527 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x11523))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11523))))))))))))))))))))))))))))))))))))))))))), x11523 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x11520))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11520 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11520)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x11519))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11519))))))))))))))))))))))))))))))))))))))))))), x11519 >= 0
   2'(z) -{ 1 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1 + x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(0'(2'(1'(0'(0'(1'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(0'(0'(2'(2'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(1'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(2'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(1'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(2'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 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'(2'(encArg(x_110))) :|: z = 1 + x_110, x_110 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_19))) :|: z = 1 + x_19, x_19 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_18))) :|: z = 1 + x_18, x_18 >= 0
   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'(2'(encArg(x_113))) :|: z = 1 + x_113, x_113 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_112))) :|: z = 1 + x_112, x_112 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_111))) :|: z = 1 + x_111, x_111 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_114))) :|: x_114 >= 0, z = 1 + x_114
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(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 }-> 0'(2'(2'(1'(2'(1'(0'(1'(0'(1'(0'(2'(0'(2'(0'(2'(0'(2'(0'(1'(0'(1'(0'(2'(0'(1'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(0'(1'(0'(0'(2'(2'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(0'(0'(0'(0'(0'(1'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(2'(0'(1'(2'(0'(0'(0'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(2'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(0'(2'(2'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(1'(2'(2'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(2'(1'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(1'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
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   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(0)))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(1'(0'(0'(1'(0'(2'(0'(2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(2'(2'(1'(0'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(2'(1'(1'(0'(1'(1'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 1'(1'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(1'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 1'(1'(0'(1'(0'(1'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(2'(0'(0'(1'(0'(2'(2'(1'(0'(0'(0'(1'(1'(2'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 1 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0)))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(1'(0'(0'(2'(1'(0'(0'(1'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(1'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(1'(0'(0'(0'(2'(2'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(0'(1'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(1'(1'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(2'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(1'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(2'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 0 }-> 0 :|: z >= 0
   2'(z) -{ 0 }-> 1 + z :|: z >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0) :|: z >= 0
   encode_0(z) -{ 0 }-> 0 :|: z >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: z >= 0
   encode_1(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 2'(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


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

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

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

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

   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(2'(2'(2'(2'(0'(1'(1'(0'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
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   0'(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 0'(2'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(2'(0'(1'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(2'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(2'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(2'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(0'(0'(0'(0'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(2'(2'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(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]
   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [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]

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

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

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

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

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

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

   0'(z) -{ 1 }-> 0'(2'(2'(1'(2'(1'(0'(1'(0'(1'(0'(2'(0'(2'(0'(2'(0'(2'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(2'(0'(1'(0'(0'(2'(2'(2'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(1'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(2'(2'(0'(0'(0'(0'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(2'(0'(1'(2'(0'(1'(2'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(2'(0'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(1'(0'(0'(0'(0'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(1'(2'(2'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(2'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(1'(1'(2'(2'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(2'(0'(0'(0'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(1'(1'(2'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(0'(2'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(2'(0'(2'(2'(0'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(0'(0'(0'(1'(0'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(2'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(1'(2'(0'(1'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(2'(2'(1'(0'(1'(0'(2'(0'(1'(2'(2'(2'(2'(0'(1'(2'(0'(2'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(2'(0'(1'(0'(2'(2'(2'(0'(1'(1'(0'(0'(1'(2'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(0'(0'(1'(1'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(0'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(2'(2'(2'(2'(0'(1'(1'(0'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(2'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(1'(0'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(2'(0'(1'(1'(0'(0'(2'(1'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(2'(0'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(0'(0'(2'(1'(1'(1'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(2'(2'(0'(2'(1'(2'(0'(1'(2'(0'(1'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(0'(2'(1'(2'(2'(0'(2'(2'(2'(0'(1'(0'(2'(0'(0'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(0'(1'(1'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(2'(0'(0'(1'(2'(1'(2'(2'(0'(0'(0'(2'(0'(1'(0'(1'(0'(2'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(0'(1'(2'(0'(2'(0'(1'(0'(1'(0'(2'(2'(2'(1'(2'(0'(1'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(1'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(1'(2'(1'(1'(0'(0'(0'(2'(0'(0'(1'(0'(2'(1'(2'(0'(2'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(0'(1'(1'(1'(2'(2'(2'(0'(0'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(1'(2'(2'(0'(0'(2'(2'(1'(0'(0'(2'(2'(1'(2'(0'(0'(1'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(0'(2'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(0'(1'(0'(2'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(0'(0'(2'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(1'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(0'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(2'(0'(1'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(0'(2'(0'(0'(2'(0'(0'(1'(0'(1'(1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(2'(2'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(2'(0'(0'(0'(2'(0'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(2'(1'(0'(1'(0'(2'(0'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(1'(0'(2'(0'(0'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(2'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(2'(0'(1'(0'(0'(0'(1'(2'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(2'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(1'(2'(0'(0'(2'(0'(2'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(1'(0'(0'(1'(0'(2'(0'(2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(2'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(2'(1'(1'(0'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(1'(0'(1'(0'(2'(2'(1'(2'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(0'(1'(0'(1'(2'(2'(2'(0'(1'(0'(2'(0'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(2'(0'(0'(1'(0'(2'(2'(1'(0'(0'(0'(1'(1'(2'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(0'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(0'(2'(1'(0'(0'(1'(2'(1'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(0'(0'(2'(2'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(1'(0'(0'(2'(0'(2'(0'(0'(1'(0'(1'(0'(2'(0'(1'(0'(1'(0'(0'(1'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(2'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(1'(1'(0'(0'(1'(2'(0'(2'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(1'(0'(1'(1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(2'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 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

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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(2(2(0(1(1(0(0(0(0(0(0(0(2(0(2(0(0(0(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(2(2(1(2(1(0(1(0(1(0(2(0(2(0(2(0(2(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(1(0(1(0(1(0(1(1(1(0(0(2(1(1(1(0(0(1(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(1(2(0(1(0(1(1(1(1(0(0(0(0(1(2(0(1(0(1(0(1(2(0(1(1(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(0(0(0(0(0(1(0(0(1(2(0(2(0(0(1(0(1(1(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(1(2(1(1(0(0(0(2(0(0(1(0(2(1(2(0(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(0(0(1(2(1(2(2(0(0(0(2(0(1(0(1(0(2(2(2(0(0(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(1(0(0(0(1(0(1(1(2(0(1(2(0(1(0(0(0(2(2(0(0(0(1(1(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(2(1(0(0(1(1(0(1(0(2(2(0(2(1(2(0(1(2(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(2(0(1(2(0(2(0(1(0(1(0(2(2(2(1(2(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(2(2(0(0(2(0(2(1(0(2(1(0(2(0(0(0(1(0(0(1(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(2(0(2(0(0(0(1(0(0(2(0(0(1(0(1(0(0(0(0(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(2(0(0(1(1(0(1(0(2(1(1(0(1(1(0(2(0(1(0(0(1(2(1(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(2(0(1(0(0(2(0(2(0(2(0(0(1(2(0(0(0(1(0(1(2(0(0(0(1(1(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(1(0(2(0(1(1(1(0(2(1(0(1(0(0(1(0(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 0(1(0(1(1(1(0(0(1(1(2(0(1(0(0(1(1(1(0(0(0(0(0(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(0(0(2(1(0(2(0(1(1(0(0(1(1(1(2(0(1(0(1(0(2(0(0(1(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(1(0(0(0(2(0(0(1(2(2(1(2(0(0(0(1(1(0(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(2(1(0(0(0(0(0(2(2(0(0(0(0(2(2(0(1(2(0(1(2(0(0(0(0(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(2(1(0(1(0(2(0(1(2(2(2(2(0(1(2(0(2(0(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(1(0(1(2(0(0(0(1(0(0(1(0(0(2(1(2(2(0(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(2(1(0(0(0(0(2(0(1(0(2(1(2(2(0(2(2(2(0(1(0(2(0(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(2(2(0(1(1(0(0(2(1(0(1(2(0(1(0(0(0(0(0(1(1(2(2(0(0(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 1(0(2(2(0(2(0(0(2(0(0(1(0(1(1(2(1(2(0(1(0(1(2(0(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(1(0(2(0(0(2(0(2(0(1(0(2(0(2(2(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(2(1(2(2(2(0(0(2(0(0(0(1(0(0(1(0(0(2(1(0(1(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(1(0(1(0(2(0(2(1(0(0(2(1(0(1(0(0(1(0(2(1(1(0(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(1(0(1(1(0(0(1(0(2(0(0(1(1(1(0(2(0(2(0(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(0(1(0(0(1(0(0(0(2(1(0(1(0(2(0(0(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(1(0(1(1(0(0(0(1(0(1(2(0(1(0(1(0(1(0(1(1(0(0(0(1(z0)))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(1(0(0(0(1(0(1(1(0(0(0(1(1(0(1(1(0(0(0(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(0(0(1(1(1(2(0(1(0(1(2(2(1(1(2(0(0(0(0(0(2(0(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(0(1(2(2(0(0(0(1(1(0(1(1(0(0(0(1(2(0(0(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(0(2(0(1(1(0(1(0(0(0(2(1(0(0(0(1(0(1(0(1(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 1(2(0(1(0(1(0(0(0(2(2(2(2(0(1(0(1(0(0(0(1(1(0(0(1(0(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(1(2(2(0(2(1(2(0(1(1(0(0(1(0(0(1(0(0(0(0(0(0(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(1(0(0(2(0(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(2(0(0(0(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(1(0(0(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(2(0(2(0(0(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(0(2(0(0(0(0(0(0(2(0(0(2(2(2(0(0(1(2(0(2(0(2(2(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(0(0(1(0(2(0(2(0(0(0(2(1(2(2(0(1(0(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(2(0(0(2(2(2(0(1(0(0(0(0(0(2(2(0(0(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(1(0(1(0(0(0(0(0(0(2(1(1(0(0(1(2(0(2(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(2(1(2(0(0(1(0(2(2(1(0(0(0(1(1(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(0(1(0(1(0(2(0(1(0(1(0(0(1(2(1(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(1(0(2(2(1(2(0(0(0(2(1(0(1(0(0(1(0(0(2(0(1(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(1(1(0(1(1(0(2(0(2(1(0(0(0(0(1(0(2(0(0(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(0(0(0(2(2(1(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(0(2(2(2(1(1(0(0(1(1(2(0(1(0(0(0(1(2(0(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(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))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c6
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   1'(z0) -> c41
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   1'(c_2(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))) -> c55(2'(1(0(0(2(0(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0)))))))))))))))))))))))))), 0'(0(2(0(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0))))))))))))))))))))))))), 0'(2(0(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0)))))))))))))))))))))))), 2'(0(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0))))))))))))))))))))))), 0'(0(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0)))))))))))))))))))))), 0'(1(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0))))))))))))))))))))), 1'(2(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0)))))))))))))))))))), 2'(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(0(0(0(0(0(1(0(1(1(0(0(0(1(0(z0))))))))))))))), 0'(0(0(0(0(1(0(1(1(0(0(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(1(1(0(0(0(1(0(z0))))))))))))), 0'(0(0(1(0(1(1(0(0(0(1(0(z0)))))))))))), 0'(0(1(0(1(1(0(0(0(1(0(z0))))))))))), 0'(1(0(1(1(0(0(0(1(0(z0)))))))))), 1'(0(1(1(0(0(0(1(0(z0))))))))), 0'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(z0))))))))))))))))))))))) -> c56(0'(1(2(0(0(0(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0))))))))))))))))))))))))))), 1'(2(0(0(0(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0)))))))))))))))))))))))))), 2'(0(0(0(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0))))))))))))))))))))))), 0'(2(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0)))))))))))))))))))))), 2'(0(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0))))))))))))))))))))), 0'(1(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0)))))))))))))))))))), 1'(0(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0))))))))))))))))))), 0'(2(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0)))))))))))))))))), 2'(0(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0))))))))))))))))), 0'(2(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0)))))))))))))))), 2'(0(0(1(0(0(1(0(1(0(2(2(0(2(0(z0))))))))))))))), 0'(0(1(0(0(1(0(1(0(2(2(0(2(0(z0)))))))))))))), 0'(1(0(0(1(0(1(0(2(2(0(2(0(z0))))))))))))), 1'(0(0(1(0(1(0(2(2(0(2(0(z0)))))))))))), 0'(0(1(0(1(0(2(2(0(2(0(z0))))))))))), 0'(1(0(1(0(2(2(0(2(0(z0)))))))))), 1'(0(1(0(2(2(0(2(0(z0))))))))), 0'(1(0(2(2(0(2(0(z0)))))))), 1'(0(2(2(0(2(0(z0))))))), 0'(2(2(0(2(0(z0)))))), 2'(2(0(2(0(z0))))), 2'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c57(2'(1(0(1(0(0(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(1(0(0(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))), 0'(1(0(0(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))))))), 1'(0(0(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))))), 0'(0(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))))), 0'(2(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))), 0'(0(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))), 0'(0(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))), 0'(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))), 0'(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))), 0'(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))), 1'(0(1(1(0(0(0(0(0(0(0(z0))))))))))), 0'(1(1(0(0(0(0(0(0(0(z0)))))))))), 1'(1(0(0(0(0(0(0(0(z0))))))))), 1'(0(0(0(0(0(0(0(z0)))))))), 0'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> c58(0'(2(0(2(0(0(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0))))))))))))))))))))))))))), 2'(0(2(0(0(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0))))))))))))))))))))))))), 2'(0(0(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0)))))))))))))))))))))))), 0'(0(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0))))))))))))))))))))))), 0'(1(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0)))))))))))))))))))))), 1'(0(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0))))))))))))))))))))), 0'(1(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0)))))))))))))))))))), 1'(0(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0))))))))))))))))))), 0'(1(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0)))))))))))))))))), 1'(0(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0))))))))))))))))), 0'(2(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0)))))))))))))))), 2'(1(1(0(0(0(0(0(0(0(1(2(0(1(0(z0))))))))))))))), 1'(1(0(0(0(0(0(0(0(1(2(0(1(0(z0)))))))))))))), 1'(0(0(0(0(0(0(0(1(2(0(1(0(z0))))))))))))), 0'(0(0(0(0(0(0(1(2(0(1(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(0(1(0(z0))))))))))), 0'(0(0(0(0(1(2(0(1(0(z0)))))))))), 0'(0(0(0(1(2(0(1(0(z0))))))))), 0'(0(0(1(2(0(1(0(z0)))))))), 0'(0(1(2(0(1(0(z0))))))), 0'(1(2(0(1(0(z0)))))), 1'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(z0) -> c59
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   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
S tuples:
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   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   0'(z0) -> c6
   2'(z0) -> c59
   1'(z0) -> c41

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

(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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(2(2(0(1(1(0(0(0(0(0(0(0(2(0(2(0(0(0(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(2(2(1(2(1(0(1(0(1(0(2(0(2(0(2(0(2(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(2(1(1(2(0(1(1(0(1(0(1(0(1(1(1(0(0(2(1(1(1(0(0(1(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(1(2(0(1(0(1(1(1(1(0(0(0(0(1(2(0(1(0(1(0(1(2(0(1(1(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(0(0(0(0(0(1(0(0(1(2(0(2(0(0(1(0(1(1(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(1(2(1(1(0(0(0(2(0(0(1(0(2(1(2(0(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(0(0(1(2(1(2(2(0(0(0(2(0(1(0(1(0(2(2(2(0(0(2(0(z0)))))))))))))))))))))))))))
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   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(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))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c7(0'(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(z0))))))))))), 0'(0(2(0(1(0(0(0(2(1(z0)))))))))), 0'(2(0(1(0(0(0(2(1(z0))))))))), 2'(0(1(0(0(0(2(1(z0)))))))), 0'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c8(0'(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(z0))))))))))), 1'(2(1(0(0(2(1(2(1(0(z0)))))))))), 2'(1(0(0(2(1(2(1(0(z0))))))))), 1'(0(0(2(1(2(1(0(z0)))))))), 0'(0(2(1(2(1(0(z0))))))), 0'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))), 0'(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))), 0'(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))), 0'(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))), 0'(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))), 1'(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))), 2'(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))), 2'(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))), 2'(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))), 2'(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))), 0'(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))), 1'(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))), 0'(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))), 2'(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))), 0'(1(0(1(1(1(0(1(0(0(1(z0))))))))))), 1'(0(1(1(1(0(1(0(0(1(z0)))))))))), 0'(1(1(1(0(1(0(0(1(z0))))))))), 1'(1(1(0(1(0(0(1(z0)))))))), 1'(1(0(1(0(0(1(z0))))))), 1'(0(1(0(0(1(z0)))))), 0'(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_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))), 0'(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))), 2'(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))), 2'(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))), 2'(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 1'(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))), 0'(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))), 1'(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))), 0'(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))), 0'(2(0(1(2(1(1(1(0(2(0(z0))))))))))), 2'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 2'(1(1(1(0(2(0(z0))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c75(2'(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))))), 2'(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))), 1'(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))), 2'(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))), 1'(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))), 0'(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))), 1'(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))), 1'(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))), 0'(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))), 1'(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))), 0'(0(1(0(2(1(0(1(0(0(0(z0))))))))))), 0'(1(0(2(1(0(1(0(0(0(z0)))))))))), 1'(0(2(1(0(1(0(0(0(z0))))))))), 0'(2(1(0(1(0(0(0(z0)))))))), 2'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27


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

(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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(2(2(0(1(1(0(0(0(0(0(0(0(2(0(2(0(0(0(1(z0)))))))))))))))))))))))))))
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   2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(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))
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c7(0'(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(z0))))))))))), 0'(0(2(0(1(0(0(0(2(1(z0)))))))))), 0'(2(0(1(0(0(0(2(1(z0))))))))), 2'(0(1(0(0(0(2(1(z0)))))))), 0'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c8(0'(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(z0))))))))))), 1'(2(1(0(0(2(1(2(1(0(z0)))))))))), 2'(1(0(0(2(1(2(1(0(z0))))))))), 1'(0(0(2(1(2(1(0(z0)))))))), 0'(0(2(1(2(1(0(z0))))))), 0'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))), 0'(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))), 0'(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))), 0'(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))), 0'(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))), 1'(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))), 2'(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))), 2'(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))), 2'(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))), 2'(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))), 0'(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))), 1'(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))), 0'(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))), 2'(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))), 0'(1(0(1(1(1(0(1(0(0(1(z0))))))))))), 1'(0(1(1(1(0(1(0(0(1(z0)))))))))), 0'(1(1(1(0(1(0(0(1(z0))))))))), 1'(1(1(0(1(0(0(1(z0)))))))), 1'(1(0(1(0(0(1(z0))))))), 1'(0(1(0(0(1(z0)))))), 0'(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_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))), 0'(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))), 2'(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))), 2'(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))), 2'(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 1'(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))), 0'(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))), 1'(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))), 0'(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))), 0'(2(0(1(2(1(1(1(0(2(0(z0))))))))))), 2'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 2'(1(1(1(0(2(0(z0))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c75(2'(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))))), 2'(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))), 1'(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))), 2'(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))), 1'(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))), 0'(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))), 1'(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))), 1'(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))), 0'(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))), 1'(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))), 0'(0(1(0(2(1(0(1(0(0(0(z0))))))))))), 0'(1(0(2(1(0(1(0(0(0(z0)))))))))), 1'(0(2(1(0(1(0(0(0(z0))))))))), 0'(2(1(0(1(0(0(0(z0)))))))), 2'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCODE_2(z0) -> c6(ENCARG(z0))
S tuples:
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   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c6_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 3 leading nodes:
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_2(z0) -> c6(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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(z0)))))))))))))))))))))))))))
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   2(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(0(2(2(2(1(1(0(0(1(1(2(0(1(0(0(0(1(2(0(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(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))
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c7(0'(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(z0))))))))))), 0'(0(2(0(1(0(0(0(2(1(z0)))))))))), 0'(2(0(1(0(0(0(2(1(z0))))))))), 2'(0(1(0(0(0(2(1(z0)))))))), 0'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c8(0'(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(z0))))))))))), 1'(2(1(0(0(2(1(2(1(0(z0)))))))))), 2'(1(0(0(2(1(2(1(0(z0))))))))), 1'(0(0(2(1(2(1(0(z0)))))))), 0'(0(2(1(2(1(0(z0))))))), 0'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))), 0'(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))), 0'(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))), 0'(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))), 0'(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))), 1'(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))), 2'(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))), 2'(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))), 2'(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))), 2'(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))), 0'(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))), 1'(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))), 0'(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))), 2'(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))), 0'(1(0(1(1(1(0(1(0(0(1(z0))))))))))), 1'(0(1(1(1(0(1(0(0(1(z0)))))))))), 0'(1(1(1(0(1(0(0(1(z0))))))))), 1'(1(1(0(1(0(0(1(z0)))))))), 1'(1(0(1(0(0(1(z0))))))), 1'(0(1(0(0(1(z0)))))), 0'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   2'(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c74(2'(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))))))))), 1'(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))), 0'(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))))))), 1'(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))), 2'(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))))), 0'(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))), 0'(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))), 2'(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))), 0'(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))), 1'(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))), 0'(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))), 0'(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))), 0'(1(1(0(1(0(1(0(0(1(1(z0))))))))))), 1'(1(0(1(0(1(0(0(1(1(z0)))))))))), 1'(0(1(0(1(0(0(1(1(z0))))))))), 0'(1(0(1(0(0(1(1(z0)))))))), 1'(0(1(0(0(1(1(z0))))))), 0'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c75(2'(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))))), 2'(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))), 1'(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))), 2'(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))), 1'(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))), 0'(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))), 1'(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))), 1'(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))), 0'(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))), 1'(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))), 0'(0(1(0(2(1(0(1(0(0(0(z0))))))))))), 0'(1(0(2(1(0(1(0(0(0(z0)))))))))), 1'(0(2(1(0(1(0(0(0(z0))))))))), 0'(2(1(0(1(0(0(0(z0)))))))), 2'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
S tuples:
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   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 1_1, 2_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c6_1


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

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_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))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(0(1(1(2(2(2(0(1(1(0(0(0(0(0(0(0(2(0(2(0(0(0(1(z0)))))))))))))))))))))))))))
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   2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(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))
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c7(0'(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(z0))))))))))), 0'(0(2(0(1(0(0(0(2(1(z0)))))))))), 0'(2(0(1(0(0(0(2(1(z0))))))))), 2'(0(1(0(0(0(2(1(z0)))))))), 0'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c8(0'(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(z0))))))))))), 1'(2(1(0(0(2(1(2(1(0(z0)))))))))), 2'(1(0(0(2(1(2(1(0(z0))))))))), 1'(0(0(2(1(2(1(0(z0)))))))), 0'(0(2(1(2(1(0(z0))))))), 0'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))), 0'(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))), 0'(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))), 0'(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))), 0'(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))), 1'(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))), 2'(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))), 2'(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))), 2'(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))), 2'(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))), 0'(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))), 1'(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))), 0'(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))), 2'(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))), 0'(1(0(1(1(1(0(1(0(0(1(z0))))))))))), 1'(0(1(1(1(0(1(0(0(1(z0)))))))))), 0'(1(1(1(0(1(0(0(1(z0))))))))), 1'(1(1(0(1(0(0(1(z0)))))))), 1'(1(0(1(0(0(1(z0))))))), 1'(0(1(0(0(1(z0)))))), 0'(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_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))), 0'(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))), 2'(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))), 2'(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))), 2'(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 1'(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))), 0'(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))), 1'(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))), 0'(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))), 0'(2(0(1(2(1(1(1(0(2(0(z0))))))))))), 2'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 2'(1(1(1(0(2(0(z0))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c75(2'(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))))), 2'(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))), 1'(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))), 2'(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))), 1'(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))), 0'(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))), 1'(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))), 1'(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))), 0'(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))), 1'(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))), 0'(0(1(0(2(1(0(1(0(0(0(z0))))))))))), 0'(1(0(2(1(0(1(0(0(0(z0)))))))))), 1'(0(2(1(0(1(0(0(0(z0))))))))), 0'(2(1(0(1(0(0(0(z0)))))))), 2'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
S tuples:
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   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c6_1


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

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

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

(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))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(z0)))))))))))))))))))))))))))
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   2(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(0(2(2(2(1(1(0(0(1(1(2(0(1(0(0(0(1(2(0(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c7(0'(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(z0))))))))))), 0'(0(2(0(1(0(0(0(2(1(z0)))))))))), 0'(2(0(1(0(0(0(2(1(z0))))))))), 2'(0(1(0(0(0(2(1(z0)))))))), 0'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c8(0'(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(z0))))))))))), 1'(2(1(0(0(2(1(2(1(0(z0)))))))))), 2'(1(0(0(2(1(2(1(0(z0))))))))), 1'(0(0(2(1(2(1(0(z0)))))))), 0'(0(2(1(2(1(0(z0))))))), 0'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))), 0'(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))), 0'(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))), 0'(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))), 0'(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))), 1'(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))), 2'(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))), 2'(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))), 2'(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))), 2'(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))), 0'(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))), 1'(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))), 0'(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))), 2'(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))), 0'(1(0(1(1(1(0(1(0(0(1(z0))))))))))), 1'(0(1(1(1(0(1(0(0(1(z0)))))))))), 0'(1(1(1(0(1(0(0(1(z0))))))))), 1'(1(1(0(1(0(0(1(z0)))))))), 1'(1(0(1(0(0(1(z0))))))), 1'(0(1(0(0(1(z0)))))), 0'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c75(2'(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))))), 2'(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))), 1'(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))), 2'(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))), 1'(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))), 0'(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))), 1'(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))), 1'(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))), 0'(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))), 1'(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))), 0'(0(1(0(2(1(0(1(0(0(0(z0))))))))))), 0'(1(0(2(1(0(1(0(0(0(z0)))))))))), 1'(0(2(1(0(1(0(0(0(z0))))))))), 0'(2(1(0(1(0(0(0(z0)))))))), 2'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(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)))
S tuples:
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   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c6_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)))

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

(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))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(z0)))))))))))))))))))))))))))
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   2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(1(1(0(1(1(0(2(0(2(1(0(0(0(0(1(0(2(0(0(0(0(2(0(z0)))))))))))))))))))))))))))
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   2(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(0(2(2(2(1(1(0(0(1(1(2(0(1(0(0(0(1(2(0(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c7(0'(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(z0))))))))))), 0'(0(2(0(1(0(0(0(2(1(z0)))))))))), 0'(2(0(1(0(0(0(2(1(z0))))))))), 2'(0(1(0(0(0(2(1(z0)))))))), 0'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c8(0'(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(z0))))))))))), 1'(2(1(0(0(2(1(2(1(0(z0)))))))))), 2'(1(0(0(2(1(2(1(0(z0))))))))), 1'(0(0(2(1(2(1(0(z0)))))))), 0'(0(2(1(2(1(0(z0))))))), 0'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))), 0'(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))), 0'(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))), 0'(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))), 0'(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))), 1'(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))), 2'(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))), 2'(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))), 2'(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))), 2'(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))), 0'(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))), 1'(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))), 0'(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))), 2'(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))), 0'(1(0(1(1(1(0(1(0(0(1(z0))))))))))), 1'(0(1(1(1(0(1(0(0(1(z0)))))))))), 0'(1(1(1(0(1(0(0(1(z0))))))))), 1'(1(1(0(1(0(0(1(z0)))))))), 1'(1(0(1(0(0(1(z0))))))), 1'(0(1(0(0(1(z0)))))), 0'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   2'(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c74(2'(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))))))))), 1'(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))), 0'(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))))))), 1'(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))), 2'(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))))), 0'(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))), 0'(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))), 2'(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))), 0'(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))), 1'(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))), 0'(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))), 0'(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))), 0'(1(1(0(1(0(1(0(0(1(1(z0))))))))))), 1'(1(0(1(0(1(0(0(1(1(z0)))))))))), 1'(0(1(0(1(0(0(1(1(z0))))))))), 0'(1(0(1(0(0(1(1(z0)))))))), 1'(0(1(0(0(1(1(z0))))))), 0'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c75(2'(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))))), 2'(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))), 1'(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))), 2'(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))), 1'(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))), 0'(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))), 1'(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))), 1'(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))), 0'(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))), 1'(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))), 0'(0(1(0(2(1(0(1(0(0(0(z0))))))))))), 0'(1(0(2(1(0(1(0(0(0(z0)))))))))), 1'(0(2(1(0(1(0(0(0(z0))))))))), 0'(2(1(0(1(0(0(0(z0)))))))), 2'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(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_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)))
S tuples:
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   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c6_1, c_2, c1_2


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))

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

(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))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(1(1(1(0(0(0(0(1(0(2(1(0(2(1(0(0(0(0(1(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 0(2(0(1(1(2(2(0(0(0(0(1(0(0(0(0(1(0(1(1(1(1(1(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(1(2(2(0(0(2(2(1(0(0(2(2(1(2(0(0(1(0(0(2(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(1(0(1(0(1(1(1(2(2(2(0(0(0(2(0(0(2(1(1(1(1(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(1(1(0(0(1(0(1(2(0(1(0(2(2(2(0(1(1(0(0(1(2(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(0(0(2(0(0(0(0(1(1(2(1(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(2(0(1(0(0(2(2(2(2(2(2(0(2(2(0(2(0(0(2(1(0(2(1(0(0(z0)))))))))))))))))))))))))))
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Tuples:
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   0'(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))), 0'(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))), 2'(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))), 2'(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))), 2'(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 1'(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))), 0'(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))), 1'(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))), 0'(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))), 0'(2(0(1(2(1(1(1(0(2(0(z0))))))))))), 2'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 2'(1(1(1(0(2(0(z0))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c75(2'(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))))), 2'(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))), 1'(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))), 2'(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))), 1'(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))), 0'(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))), 1'(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))), 1'(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))), 0'(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))), 1'(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))), 0'(0(1(0(2(1(0(1(0(0(0(z0))))))))))), 0'(1(0(2(1(0(1(0(0(0(z0)))))))))), 1'(0(2(1(0(1(0(0(0(z0))))))))), 0'(2(1(0(1(0(0(0(z0)))))))), 2'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(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_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_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)))
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   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c6_1, c_2, c1_2, c2_2


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c7(0'(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(z0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(z0))))))))))), 0'(0(2(0(1(0(0(0(2(1(z0)))))))))), 0'(2(0(1(0(0(0(2(1(z0))))))))), 2'(0(1(0(0(0(2(1(z0)))))))), 0'(1(0(0(0(2(1(z0))))))), 1'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0)) by 
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x0))))))))))))))))))))))) -> c7(0'(c_0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(x0))))))))))), 0'(0(2(0(1(0(0(0(2(1(x0)))))))))), 0'(2(0(1(0(0(0(2(1(x0))))))))), 2'(0(1(0(0(0(2(1(x0)))))))), 0'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x0))))))))))))))))))))))) -> c7(0'(0(c_2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(x0))))))))))), 0'(0(2(0(1(0(0(0(2(1(x0)))))))))), 0'(2(0(1(0(0(0(2(1(x0))))))))), 2'(0(1(0(0(0(2(1(x0)))))))), 0'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x0))))))))))))))))))))))) -> c7(0'(0(2(c_0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(x0))))))))))), 0'(0(2(0(1(0(0(0(2(1(x0)))))))))), 0'(2(0(1(0(0(0(2(1(x0))))))))), 2'(0(1(0(0(0(2(1(x0)))))))), 0'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
   0'(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x0))))))))))))))))))))))) -> c7(0'(0(2(0(c_1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))))))), 2'(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))))), 1'(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))))), 1'(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))))), 1'(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))))), 0'(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))))), 0'(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))))), 0'(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))))), 0'(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))))), 0'(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))))), 0'(2(2(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))))), 2'(2(0(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))))), 2'(0(2(0(0(2(0(1(0(0(0(2(1(x0))))))))))))), 0'(2(0(0(2(0(1(0(0(0(2(1(x0)))))))))))), 2'(0(0(2(0(1(0(0(0(2(1(x0))))))))))), 0'(0(2(0(1(0(0(0(2(1(x0)))))))))), 0'(2(0(1(0(0(0(2(1(x0))))))))), 2'(0(1(0(0(0(2(1(x0)))))))), 0'(1(0(0(0(2(1(x0))))))), 1'(0(0(0(2(1(x0)))))), 0'(0(0(2(1(x0))))), 0'(0(2(1(x0)))), 0'(2(1(x0))), 2'(1(x0)), 1'(x0))
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----------------------------------------

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(0(0(1(0(2(0(2(0(0(0(2(1(2(2(0(1(0(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(2(0(0(2(2(2(0(1(0(0(0(0(0(2(2(0(0(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(1(0(1(0(0(0(0(0(0(2(1(1(0(0(1(2(0(2(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(2(1(2(0(0(1(0(2(2(1(0(0(0(1(1(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(0(1(0(1(0(2(0(1(0(1(0(0(1(2(1(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(1(0(2(2(1(2(0(0(0(2(1(0(1(0(0(1(0(0(2(0(1(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(1(1(0(1(1(0(2(0(2(1(0(0(0(0(1(0(2(0(0(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(0(0(0(2(2(1(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(0(2(2(2(1(1(0(0(1(1(2(0(1(0(0(0(1(2(0(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))))
Tuples:
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c8(0'(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(z0))))))))))), 1'(2(1(0(0(2(1(2(1(0(z0)))))))))), 2'(1(0(0(2(1(2(1(0(z0))))))))), 1'(0(0(2(1(2(1(0(z0)))))))), 0'(0(2(1(2(1(0(z0))))))), 0'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))), 0'(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))), 0'(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))), 0'(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))), 0'(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))), 1'(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))), 2'(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))), 2'(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))), 2'(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))), 2'(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))), 0'(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))), 1'(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))), 0'(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))), 2'(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))), 0'(1(0(1(1(1(0(1(0(0(1(z0))))))))))), 1'(0(1(1(1(0(1(0(0(1(z0)))))))))), 0'(1(1(1(0(1(0(0(1(z0))))))))), 1'(1(1(0(1(0(0(1(z0)))))))), 1'(1(0(1(0(0(1(z0))))))), 1'(0(1(0(0(1(z0)))))), 0'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   2'(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> c74(2'(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))))))))), 1'(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))), 0'(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))))))), 1'(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))), 2'(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))))), 0'(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))), 0'(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))))), 2'(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))), 0'(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))))), 1'(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))), 0'(0(0(1(1(0(1(0(1(0(0(1(1(z0))))))))))))), 0'(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))), 0'(1(1(0(1(0(1(0(0(1(1(z0))))))))))), 1'(1(0(1(0(1(0(0(1(1(z0)))))))))), 1'(0(1(0(1(0(0(1(1(z0))))))))), 0'(1(0(1(0(0(1(1(z0)))))))), 1'(0(1(0(0(1(1(z0))))))), 0'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c75(2'(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))))), 2'(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))), 1'(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))), 2'(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))), 1'(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))), 0'(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))), 1'(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))), 1'(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))), 0'(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))), 1'(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))), 0'(0(1(0(2(1(0(1(0(0(0(z0))))))))))), 0'(1(0(2(1(0(1(0(0(0(z0)))))))))), 1'(0(2(1(0(1(0(0(0(z0))))))))), 0'(2(1(0(1(0(0(0(z0)))))))), 2'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(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_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_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)))
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S tuples:
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c6_1, c_2, c1_2, c2_2, c7_27


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c8(0'(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(z0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(z0))))))))))), 1'(2(1(0(0(2(1(2(1(0(z0)))))))))), 2'(1(0(0(2(1(2(1(0(z0))))))))), 1'(0(0(2(1(2(1(0(z0)))))))), 0'(0(2(1(2(1(0(z0))))))), 0'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0)) by 
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(x0))))))))))))))))))))))) -> c8(0'(c_1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(x0))))))))))), 1'(2(1(0(0(2(1(2(1(0(x0)))))))))), 2'(1(0(0(2(1(2(1(0(x0))))))))), 1'(0(0(2(1(2(1(0(x0)))))))), 0'(0(2(1(2(1(0(x0))))))), 0'(2(1(2(1(0(x0)))))), 2'(1(2(1(0(x0))))), 1'(2(1(0(x0)))), 2'(1(0(x0))), 1'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(x0))))))))))))))))))))))) -> c8(0'(1(c_0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(x0))))))))))), 1'(2(1(0(0(2(1(2(1(0(x0)))))))))), 2'(1(0(0(2(1(2(1(0(x0))))))))), 1'(0(0(2(1(2(1(0(x0)))))))), 0'(0(2(1(2(1(0(x0))))))), 0'(2(1(2(1(0(x0)))))), 2'(1(2(1(0(x0))))), 1'(2(1(0(x0)))), 2'(1(0(x0))), 1'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(x0))))))))))))))))))))))) -> c8(0'(1(0(c_0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(x0))))))))))), 1'(2(1(0(0(2(1(2(1(0(x0)))))))))), 2'(1(0(0(2(1(2(1(0(x0))))))))), 1'(0(0(2(1(2(1(0(x0)))))))), 0'(0(2(1(2(1(0(x0))))))), 0'(2(1(2(1(0(x0)))))), 2'(1(2(1(0(x0))))), 1'(2(1(0(x0)))), 2'(1(0(x0))), 1'(0(x0)), 0'(x0))
   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(x0))))))))))))))))))))))) -> c8(0'(1(0(0(c_2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(x0))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(x0)))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(x0))))))))))), 1'(2(1(0(0(2(1(2(1(0(x0)))))))))), 2'(1(0(0(2(1(2(1(0(x0))))))))), 1'(0(0(2(1(2(1(0(x0)))))))), 0'(0(2(1(2(1(0(x0))))))), 0'(2(1(2(1(0(x0)))))), 2'(1(2(1(0(x0))))), 1'(2(1(0(x0)))), 2'(1(0(x0))), 1'(0(x0)), 0'(x0))
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   0'(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> c8(0'(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(0(2(2(0(1(1(0(0(2(1(0(1(2(0(1(0(0(0(0(0(1(1(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))))), 2'(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))), 1'(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))), 1'(0(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))), 1'(0(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))), 0'(0(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))), 0'(1(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))), 1'(2(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))), 2'(1(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))), 1'(0(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))), 0'(0(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))), 0'(2(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))), 2'(1(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))), 1'(2(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))), 2'(1(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))), 1'(0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))), 0'(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_0(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))
   0(z0) -> c_0(z0)
   0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(0(1(1(1(0(0(0(0(0(0(2(2(0(2(0(0(2(0(1(0(0(0(2(1(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(0(2(2(2(2(0(1(1(0(1(0(0(1(2(1(0(0(2(1(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(0(0(1(0(2(0(2(0(0(0(2(1(2(2(0(1(0(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(2(0(0(2(2(2(0(1(0(0(0(0(0(2(2(0(0(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(1(0(1(0(0(0(0(0(0(2(1(1(0(0(1(2(0(2(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(2(1(2(0(0(1(0(2(2(1(0(0(0(1(1(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 0(0(1(0(0(2(0(2(0(0(1(0(1(0(2(0(1(0(1(0(0(1(2(1(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(1(0(2(2(1(2(0(0(0(2(1(0(1(0(0(1(0(0(2(0(1(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(1(1(0(1(1(0(2(0(2(1(0(0(0(0(1(0(2(0(0(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(1(0(0(0(2(2(1(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(0(1(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(0(2(2(2(1(1(0(0(1(1(2(0(1(0(0(0(1(2(0(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(0(1(0(1(2(2(2(0(1(0(2(0(0(0(1(1(1(0(0(0(1(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(0(0(2(1(0(0(1(2(1(0(0(0(2(1(0(0(1(0(1(0(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(0(1(0(0(0(1(0(1(0(0(1(0(2(1(2(1(1(0(1(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(1(2(0(0(0(0(0(0(2(1(2(2(0(1(0(1(1(1(0(0(0(2(2(0(0(1(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(1(2(0(0(2(0(2(0(0(0(1(0(0(0(1(1(0(1(0(1(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))))
Tuples:
   0'(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c9(0'(0(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))))), 0'(0(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))))), 0'(0(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))))), 0'(0(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))))), 0'(1(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))))), 1'(2(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))))), 2'(2(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))))), 2'(2(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))))), 2'(2(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))))), 2'(0(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))))), 0'(1(0(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))))), 1'(0(2(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))))), 0'(2(0(1(0(1(1(1(0(1(0(0(1(z0))))))))))))), 2'(0(1(0(1(1(1(0(1(0(0(1(z0)))))))))))), 0'(1(0(1(1(1(0(1(0(0(1(z0))))))))))), 1'(0(1(1(1(0(1(0(0(1(z0)))))))))), 0'(1(1(1(0(1(0(0(1(z0))))))))), 1'(1(1(0(1(0(0(1(z0)))))))), 1'(1(0(1(0(0(1(z0))))))), 1'(0(1(0(0(1(z0)))))), 0'(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_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c10(0'(0(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))), 0'(2(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))))), 2'(0(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))), 2'(2(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))))), 2'(1(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))))), 1'(0(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))))), 0'(0(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))))), 0'(0(1(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))))), 0'(1(0(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))))), 1'(0(0(2(0(1(2(1(1(1(0(2(0(z0))))))))))))), 0'(0(2(0(1(2(1(1(1(0(2(0(z0)))))))))))), 0'(2(0(1(2(1(1(1(0(2(0(z0))))))))))), 2'(0(1(2(1(1(1(0(2(0(z0)))))))))), 0'(1(2(1(1(1(0(2(0(z0))))))))), 1'(2(1(1(1(0(2(0(z0)))))))), 2'(1(1(1(0(2(0(z0))))))), 1'(1(1(0(2(0(z0)))))), 1'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   2'(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> c75(2'(2(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))))), 2'(1(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))))), 1'(2(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))))), 2'(1(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))))), 1'(0(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))))), 0'(1(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))))), 1'(0(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))))), 1'(0(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))))), 0'(0(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))))), 0'(0(1(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))))), 0'(1(0(0(1(0(2(1(0(1(0(0(0(z0))))))))))))), 1'(0(0(1(0(2(1(0(1(0(0(0(z0)))))))))))), 0'(0(1(0(2(1(0(1(0(0(0(z0))))))))))), 0'(1(0(2(1(0(1(0(0(0(z0)))))))))), 1'(0(2(1(0(1(0(0(0(z0))))))))), 0'(2(1(0(1(0(0(0(z0)))))))), 2'(1(0(1(0(0(0(z0))))))), 1'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c76(0'(0(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(0(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))))), 0'(2(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))))), 2'(2(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))))), 2'(0(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))))), 0'(0(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))))), 0'(2(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))))), 2'(2(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))))), 2'(0(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))))), 0'(0(1(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))))), 0'(1(2(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))))), 1'(2(0(0(1(2(0(0(0(1(0(2(0(z0))))))))))))), 2'(0(0(1(2(0(0(0(1(0(2(0(z0)))))))))))), 0'(0(1(2(0(0(0(1(0(2(0(z0))))))))))), 0'(1(2(0(0(0(1(0(2(0(z0)))))))))), 1'(2(0(0(0(1(0(2(0(z0))))))))), 2'(0(0(0(1(0(2(0(z0)))))))), 0'(0(0(1(0(2(0(z0))))))), 0'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c77(2'(1(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 1'(0(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 0'(1(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))))), 1'(2(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))))), 2'(2(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))))), 2'(0(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))))), 0'(1(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))))), 1'(2(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))))), 2'(0(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))))), 0'(1(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))))), 1'(0(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))))), 0'(0(2(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))))), 0'(2(2(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(1(0(1(0(0(0(2(0(0(z0))))))))))))), 2'(0(0(1(0(1(0(0(0(2(0(0(z0)))))))))))), 0'(0(1(0(1(0(0(0(2(0(0(z0))))))))))), 0'(1(0(1(0(0(0(2(0(0(z0)))))))))), 1'(0(1(0(0(0(2(0(0(z0))))))))), 0'(1(0(0(0(2(0(0(z0)))))))), 1'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c78(0'(2(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))))), 0'(1(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))))), 1'(1(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))))), 1'(1(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))))), 1'(0(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))))), 0'(1(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))))), 1'(0(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))))), 0'(0(1(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))))), 0'(1(0(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))))), 1'(0(0(2(0(0(1(0(0(1(2(2(2(z0))))))))))))), 0'(0(2(0(0(1(0(0(1(2(2(2(z0)))))))))))), 0'(2(0(0(1(0(0(1(2(2(2(z0))))))))))), 2'(0(0(1(0(0(1(2(2(2(z0)))))))))), 0'(0(1(0(0(1(2(2(2(z0))))))))), 0'(1(0(0(1(2(2(2(z0)))))))), 1'(0(0(1(2(2(2(z0))))))), 0'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(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_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_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)))
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S tuples:
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c60_27, c61_27, c62_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27