/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 40 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
    (11) RewriteLemmaProof [LOWER BOUND(ID), 4589 ms]
    (12) BOUNDS(1, INF)
(13) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(14) TRS for Loop Detection
(15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(16) CpxTRS
(17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(18) CpxRelTRS
    (19) RcToIrcProof [BOTH BOUNDS(ID, ID), 684 ms]
    (20) CpxRelTRS
    (21) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxWeightedTrs
        (23) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 35 ms]
        (24) CpxWeightedTrs
        (25) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (26) CpxTypedWeightedTrs
        (27) CompletionProof [UPPER BOUND(ID), 10 ms]
        (28) CpxTypedWeightedCompleteTrs
            (29) NarrowingProof [BOTH BOUNDS(ID, ID), 260 ms]
            (30) CpxTypedWeightedCompleteTrs
            (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 125 ms]
            (32) CpxRNTS
            (33) SimplificationProof [BOTH BOUNDS(ID, ID), 53 ms]
            (34) CpxRNTS
        (35) CompletionProof [UPPER BOUND(ID), 4 ms]
        (36) CpxTypedWeightedCompleteTrs
            (37) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 16 ms]
            (38) CpxRNTS
    (39) CpxTrsToCdtProof [UPPER BOUND(ID), 662 ms]
    (40) CdtProblem
        (41) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (44) CdtProblem
        (45) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (46) CdtProblem
        (47) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 3506 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1087 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1024 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1059 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4030 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5014 ms]
        (58) CdtProblem
        (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5971 ms]
        (60) CdtProblem
        (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7540 ms]
        (62) CdtProblem
        (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 8807 ms]
        (64) 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(1(0(0(2(0(2(1(1(2(1(2(1(1(2(1(1(0(0(1(2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
   0(0(0(2(0(1(1(1(2(2(2(2(1(1(1(0(1(1(2(1(1(0(1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
   0(0(1(2(0(0(0(2(1(0(1(0(2(1(1(2(2(0(2(1(2(1(1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
   0(1(0(0(0(2(2(1(1(2(0(2(0(0(0(0(0(0(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
   0(1(0(0(1(2(0(1(2(2(1(1(1(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(1(0(1(2(0(2(0(2(2(0(1(1(0(0(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
   0(1(1(2(0(0(1(1(0(2(0(0(1(0(2(1(1(0(0(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(0(1(0(2(0(1(0(1(2(0(0(0(2(0(1(1(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
   0(1(2(0(0(2(1(0(0(2(2(2(1(1(0(0(2(0(2(0(0(2(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(2(1(1(1(2(0(1(0(0(2(1(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(0(0(0(0(0(2(1(1(0(0(0(1(2(1(1(0(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
   0(2(0(1(2(0(0(1(0(1(2(2(1(0(0(1(0(1(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
   0(2(1(0(2(2(2(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
   0(2(1(2(2(0(2(1(0(1(1(0(1(0(1(0(1(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
   1(0(0(1(1(2(1(0(1(1(0(2(2(0(0(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
   1(0(1(0(0(0(1(2(0(2(1(1(1(2(0(0(0(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
   1(0(1(0(0(1(0(0(0(1(1(1(2(0(1(0(2(1(2(0(1(2(0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
   1(0(1(1(2(0(1(1(1(2(1(1(2(0(0(0(2(1(2(1(0(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(1(0(0(1(0(1(1(2(0(0(1(2(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(2(2(0(2(0(0(0(2(0(0(2(1(0(1(0(0(1(1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
   1(1(0(0(0(2(2(1(2(1(0(2(1(1(0(1(2(0(2(1(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
   1(1(0(0(2(1(0(2(2(2(0(1(0(1(2(1(1(1(0(1(2(0(1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
   1(1(0(1(0(0(1(1(2(1(0(2(0(0(1(0(1(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
   1(1(1(2(0(0(0(1(0(0(0(2(1(2(1(0(2(1(2(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   1(1(2(1(2(1(1(1(0(1(0(2(0(1(1(1(0(1(2(2(1(1(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
   1(2(1(1(2(0(0(0(0(1(1(1(1(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
   1(2(1(2(1(0(0(0(1(0(1(0(1(1(2(2(0(2(0(2(1(0(1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
   2(0(1(0(1(0(0(1(1(2(1(2(0(1(0(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(0(1(1(1(0(2(2(1(1(1(1(0(0(0(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
   2(0(1(0(2(1(1(0(2(1(1(0(1(1(0(0(1(2(0(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(2(0(2(0(2(0(1(1(0(0(1(1(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
   2(0(1(1(1(2(1(1(2(1(0(0(2(1(2(0(1(1(1(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
   2(1(0(0(0(2(1(0(1(0(2(0(0(0(0(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
   2(1(0(1(0(0(0(2(1(2(0(2(0(1(2(0(2(1(1(0(2(0(2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
   2(1(0(1(2(1(1(1(1(1(2(0(0(0(0(0(1(0(2(2(1(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))
   2(2(1(0(1(1(1(2(1(0(0(1(1(2(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(1(0(1(1(1(2(1(1(0(1(0(1(1(1(1(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(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(1(0(0(2(0(2(1(1(2(1(2(1(1(2(1(1(0(0(1(2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
   0(0(0(2(0(1(1(1(2(2(2(2(1(1(1(0(1(1(2(1(1(0(1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
   0(0(1(2(0(0(0(2(1(0(1(0(2(1(1(2(2(0(2(1(2(1(1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
   0(1(0(0(0(2(2(1(1(2(0(2(0(0(0(0(0(0(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
   0(1(0(0(1(2(0(1(2(2(1(1(1(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(1(0(1(2(0(2(0(2(2(0(1(1(0(0(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
   0(1(1(2(0(0(1(1(0(2(0(0(1(0(2(1(1(0(0(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(0(1(0(2(0(1(0(1(2(0(0(0(2(0(1(1(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
   0(1(2(0(0(2(1(0(0(2(2(2(1(1(0(0(2(0(2(0(0(2(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(2(1(1(1(2(0(1(0(0(2(1(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(0(0(0(0(0(2(1(1(0(0(0(1(2(1(1(0(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
   0(2(0(1(2(0(0(1(0(1(2(2(1(0(0(1(0(1(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
   0(2(1(0(2(2(2(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
   0(2(1(2(2(0(2(1(0(1(1(0(1(0(1(0(1(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
   1(0(0(1(1(2(1(0(1(1(0(2(2(0(0(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
   1(0(1(0(0(0(1(2(0(2(1(1(1(2(0(0(0(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
   1(0(1(0(0(1(0(0(0(1(1(1(2(0(1(0(2(1(2(0(1(2(0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
   1(0(1(1(2(0(1(1(1(2(1(1(2(0(0(0(2(1(2(1(0(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(1(0(0(1(0(1(1(2(0(0(1(2(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(2(2(0(2(0(0(0(2(0(0(2(1(0(1(0(0(1(1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
   1(1(0(0(0(2(2(1(2(1(0(2(1(1(0(1(2(0(2(1(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
   1(1(0(0(2(1(0(2(2(2(0(1(0(1(2(1(1(1(0(1(2(0(1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
   1(1(0(1(0(0(1(1(2(1(0(2(0(0(1(0(1(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
   1(1(1(2(0(0(0(1(0(0(0(2(1(2(1(0(2(1(2(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   1(1(2(1(2(1(1(1(0(1(0(2(0(1(1(1(0(1(2(2(1(1(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
   1(2(1(1(2(0(0(0(0(1(1(1(1(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
   1(2(1(2(1(0(0(0(1(0(1(0(1(1(2(2(0(2(0(2(1(0(1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
   2(0(1(0(1(0(0(1(1(2(1(2(0(1(0(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(0(1(1(1(0(2(2(1(1(1(1(0(0(0(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
   2(0(1(0(2(1(1(0(2(1(1(0(1(1(0(0(1(2(0(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(2(0(2(0(2(0(1(1(0(0(1(1(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
   2(0(1(1(1(2(1(1(2(1(0(0(2(1(2(0(1(1(1(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
   2(1(0(0(0(2(1(0(1(0(2(0(0(0(0(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
   2(1(0(1(0(0(0(2(1(2(0(2(0(1(2(0(2(1(1(0(2(0(2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
   2(1(0(1(2(1(1(1(1(1(2(0(0(0(0(0(1(0(2(2(1(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))
   2(2(1(0(1(1(1(2(1(0(0(1(1(2(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(1(0(1(1(1(2(1(1(0(1(0(1(1(1(1(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(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(1(0(0(2(0(2(1(1(2(1(2(1(1(2(1(1(0(0(1(2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
   0(0(0(2(0(1(1(1(2(2(2(2(1(1(1(0(1(1(2(1(1(0(1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
   0(0(1(2(0(0(0(2(1(0(1(0(2(1(1(2(2(0(2(1(2(1(1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
   0(1(0(0(0(2(2(1(1(2(0(2(0(0(0(0(0(0(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
   0(1(0(0(1(2(0(1(2(2(1(1(1(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(1(0(1(2(0(2(0(2(2(0(1(1(0(0(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
   0(1(1(2(0(0(1(1(0(2(0(0(1(0(2(1(1(0(0(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(0(1(0(2(0(1(0(1(2(0(0(0(2(0(1(1(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
   0(1(2(0(0(2(1(0(0(2(2(2(1(1(0(0(2(0(2(0(0(2(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(2(1(1(1(2(0(1(0(0(2(1(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(0(0(0(0(0(2(1(1(0(0(0(1(2(1(1(0(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
   0(2(0(1(2(0(0(1(0(1(2(2(1(0(0(1(0(1(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
   0(2(1(0(2(2(2(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
   0(2(1(2(2(0(2(1(0(1(1(0(1(0(1(0(1(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
   1(0(0(1(1(2(1(0(1(1(0(2(2(0(0(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
   1(0(1(0(0(0(1(2(0(2(1(1(1(2(0(0(0(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
   1(0(1(0(0(1(0(0(0(1(1(1(2(0(1(0(2(1(2(0(1(2(0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
   1(0(1(1(2(0(1(1(1(2(1(1(2(0(0(0(2(1(2(1(0(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(1(0(0(1(0(1(1(2(0(0(1(2(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(2(2(0(2(0(0(0(2(0(0(2(1(0(1(0(0(1(1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
   1(1(0(0(0(2(2(1(2(1(0(2(1(1(0(1(2(0(2(1(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
   1(1(0(0(2(1(0(2(2(2(0(1(0(1(2(1(1(1(0(1(2(0(1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
   1(1(0(1(0(0(1(1(2(1(0(2(0(0(1(0(1(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
   1(1(1(2(0(0(0(1(0(0(0(2(1(2(1(0(2(1(2(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   1(1(2(1(2(1(1(1(0(1(0(2(0(1(1(1(0(1(2(2(1(1(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
   1(2(1(1(2(0(0(0(0(1(1(1(1(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
   1(2(1(2(1(0(0(0(1(0(1(0(1(1(2(2(0(2(0(2(1(0(1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
   2(0(1(0(1(0(0(1(1(2(1(2(0(1(0(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(0(1(1(1(0(2(2(1(1(1(1(0(0(0(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
   2(0(1(0(2(1(1(0(2(1(1(0(1(1(0(0(1(2(0(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(2(0(2(0(2(0(1(1(0(0(1(1(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
   2(0(1(1(1(2(1(1(2(1(0(0(2(1(2(0(1(1(1(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
   2(1(0(0(0(2(1(0(1(0(2(0(0(0(0(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
   2(1(0(1(0(0(0(2(1(2(0(2(0(1(2(0(2(1(1(0(2(0(2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
   2(1(0(1(2(1(1(1(1(1(2(0(0(0(0(0(1(0(2(2(1(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))
   2(2(1(0(1(1(1(2(1(0(0(1(1(2(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(1(0(1(1(1(2(1(1(0(1(0(1(1(1(1(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(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) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(6)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

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

(8)
Obligation:
TRS:
Rules:
0(0(0(1(0(0(2(0(2(1(1(2(1(2(1(1(2(1(1(0(0(1(2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
0(0(0(2(0(1(1(1(2(2(2(2(1(1(1(0(1(1(2(1(1(0(1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
0(0(1(2(0(0(0(2(1(0(1(0(2(1(1(2(2(0(2(1(2(1(1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
0(1(0(0(0(2(2(1(1(2(0(2(0(0(0(0(0(0(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
0(1(0(0(1(2(0(1(2(2(1(1(1(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
0(1(1(0(1(2(0(2(0(2(2(0(1(1(0(0(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
0(1(1(2(0(0(1(1(0(2(0(0(1(0(2(1(1(0(0(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
0(1(1(2(0(1(0(2(0(1(0(1(2(0(0(0(2(0(1(1(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
0(1(2(0(0(2(1(0(0(2(2(2(1(1(0(0(2(0(2(0(0(2(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
0(1(2(0(1(2(2(1(1(1(2(0(1(0(0(2(1(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
0(1(2(1(1(2(0(0(0(0(0(2(1(1(0(0(0(1(2(1(1(0(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
0(2(0(1(2(0(0(1(0(1(2(2(1(0(0(1(0(1(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
0(2(1(0(2(2(2(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
0(2(1(2(2(0(2(1(0(1(1(0(1(0(1(0(1(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
1(0(0(1(1(2(1(0(1(1(0(2(2(0(0(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
1(0(1(0(0(0(1(2(0(2(1(1(1(2(0(0(0(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
1(0(1(0(0(1(0(0(0(1(1(1(2(0(1(0(2(1(2(0(1(2(0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
1(0(1(1(2(0(1(1(1(2(1(1(2(0(0(0(2(1(2(1(0(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
1(0(1(2(0(1(0(0(1(0(1(1(2(0(0(1(2(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
1(0(1(2(0(2(2(0(2(0(0(0(2(0(0(2(1(0(1(0(0(1(1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
1(1(0(0(0(2(2(1(2(1(0(2(1(1(0(1(2(0(2(1(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
1(1(0(0(2(1(0(2(2(2(0(1(0(1(2(1(1(1(0(1(2(0(1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
1(1(0(1(0(0(1(1(2(1(0(2(0(0(1(0(1(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
1(1(1(2(0(0(0(1(0(0(0(2(1(2(1(0(2(1(2(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
1(1(2(1(2(1(1(1(0(1(0(2(0(1(1(1(0(1(2(2(1(1(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
1(2(1(1(2(0(0(0(0(1(1(1(1(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
1(2(1(2(1(0(0(0(1(0(1(0(1(1(2(2(0(2(0(2(1(0(1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
2(0(1(0(1(0(0(1(1(2(1(2(0(1(0(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
2(0(1(0(2(0(1(1(1(0(2(2(1(1(1(1(0(0(0(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
2(0(1(0(2(1(1(0(2(1(1(0(1(1(0(0(1(2(0(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
2(0(1(0(2(2(0(2(0(2(0(1(1(0(0(1(1(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
2(0(1(1(1(2(1(1(2(1(0(0(2(1(2(0(1(1(1(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
2(1(0(0(0(2(1(0(1(0(2(0(0(0(0(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
2(1(0(1(0(0(0(2(1(2(0(2(0(1(2(0(2(1(1(0(2(0(2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
2(1(0(1(2(1(1(1(1(1(2(0(0(0(0(0(1(0(2(2(1(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))
2(2(1(0(1(1(1(2(1(0(0(1(1(2(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
2(2(1(1(1(0(1(1(1(2(1(1(0(1(0(1(1(1(1(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(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 :: 2:1:0:encArg:encode_0:encode_1:encode_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
1 :: 2:1:0:encArg:encode_0:encode_1:encode_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
2 :: 2:1:0:encArg:encode_0:encode_1:encode_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 2:1:0: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 -> 2:1:0:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
hole_2:1:0:encArg:encode_0:encode_1:encode_21_3 :: 2:1:0: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

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

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

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(1(0(0(2(0(2(1(1(2(1(2(1(1(2(1(1(0(0(1(2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
0(0(0(2(0(1(1(1(2(2(2(2(1(1(1(0(1(1(2(1(1(0(1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
0(0(1(2(0(0(0(2(1(0(1(0(2(1(1(2(2(0(2(1(2(1(1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
0(1(0(0(0(2(2(1(1(2(0(2(0(0(0(0(0(0(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
0(1(0(0(1(2(0(1(2(2(1(1(1(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
0(1(1(0(1(2(0(2(0(2(2(0(1(1(0(0(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
0(1(1(2(0(0(1(1(0(2(0(0(1(0(2(1(1(0(0(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
0(1(1(2(0(1(0(2(0(1(0(1(2(0(0(0(2(0(1(1(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
0(1(2(0(0(2(1(0(0(2(2(2(1(1(0(0(2(0(2(0(0(2(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
0(1(2(0(1(2(2(1(1(1(2(0(1(0(0(2(1(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
0(1(2(1(1(2(0(0(0(0(0(2(1(1(0(0(0(1(2(1(1(0(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
0(2(0(1(2(0(0(1(0(1(2(2(1(0(0(1(0(1(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
0(2(1(0(2(2(2(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
0(2(1(2(2(0(2(1(0(1(1(0(1(0(1(0(1(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
1(0(0(1(1(2(1(0(1(1(0(2(2(0(0(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
1(0(1(0(0(0(1(2(0(2(1(1(1(2(0(0(0(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
1(0(1(0(0(1(0(0(0(1(1(1(2(0(1(0(2(1(2(0(1(2(0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
1(0(1(1(2(0(1(1(1(2(1(1(2(0(0(0(2(1(2(1(0(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
1(0(1(2(0(1(0(0(1(0(1(1(2(0(0(1(2(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
1(0(1(2(0(2(2(0(2(0(0(0(2(0(0(2(1(0(1(0(0(1(1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
1(1(0(0(0(2(2(1(2(1(0(2(1(1(0(1(2(0(2(1(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
1(1(0(0(2(1(0(2(2(2(0(1(0(1(2(1(1(1(0(1(2(0(1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
1(1(0(1(0(0(1(1(2(1(0(2(0(0(1(0(1(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
1(1(1(2(0(0(0(1(0(0(0(2(1(2(1(0(2(1(2(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
1(1(2(1(2(1(1(1(0(1(0(2(0(1(1(1(0(1(2(2(1(1(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
1(2(1(1(2(0(0(0(0(1(1(1(1(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
1(2(1(2(1(0(0(0(1(0(1(0(1(1(2(2(0(2(0(2(1(0(1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
2(0(1(0(1(0(0(1(1(2(1(2(0(1(0(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
2(0(1(0(2(0(1(1(1(0(2(2(1(1(1(1(0(0(0(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
2(0(1(0(2(1(1(0(2(1(1(0(1(1(0(0(1(2(0(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
2(0(1(0(2(2(0(2(0(2(0(1(1(0(0(1(1(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
2(0(1(1(1(2(1(1(2(1(0(0(2(1(2(0(1(1(1(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
2(1(0(0(0(2(1(0(1(0(2(0(0(0(0(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
2(1(0(1(0(0(0(2(1(2(0(2(0(1(2(0(2(1(1(0(2(0(2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
2(1(0(1(2(1(1(1(1(1(2(0(0(0(0(0(1(0(2(2(1(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))
2(2(1(0(1(1(1(2(1(0(0(1(1(2(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
2(2(1(1(1(0(1(1(1(2(1(1(0(1(0(1(1(1(1(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(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 :: 2:1:0:encArg:encode_0:encode_1:encode_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
1 :: 2:1:0:encArg:encode_0:encode_1:encode_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
2 :: 2:1:0:encArg:encode_0:encode_1:encode_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 2:1:0: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 -> 2:1:0:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 2:1:0:encArg:encode_0:encode_1:encode_2
hole_2:1:0:encArg:encode_0:encode_1:encode_21_3 :: 2:1:0: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:
1, 0, 2, encArg

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

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

(11) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_cons_0:cons_1:cons_23_3(+(1, n147507_3))) -> *4_3, rt in Omega(0)

Induction Base:
encArg(gen_cons_0:cons_1:cons_23_3(+(1, 0)))

Induction Step:
encArg(gen_cons_0:cons_1:cons_23_3(+(1, +(n147507_3, 1)))) ->_R^Omega(0)
0(encArg(gen_cons_0:cons_1:cons_23_3(+(1, n147507_3)))) ->_IH
0(*4_3)

We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0).
----------------------------------------

(12)
BOUNDS(1, INF)

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

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

(14)
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(1(0(0(2(0(2(1(1(2(1(2(1(1(2(1(1(0(0(1(2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
   0(0(0(2(0(1(1(1(2(2(2(2(1(1(1(0(1(1(2(1(1(0(1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
   0(0(1(2(0(0(0(2(1(0(1(0(2(1(1(2(2(0(2(1(2(1(1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
   0(1(0(0(0(2(2(1(1(2(0(2(0(0(0(0(0(0(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
   0(1(0(0(1(2(0(1(2(2(1(1(1(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(1(0(1(2(0(2(0(2(2(0(1(1(0(0(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
   0(1(1(2(0(0(1(1(0(2(0(0(1(0(2(1(1(0(0(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(0(1(0(2(0(1(0(1(2(0(0(0(2(0(1(1(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
   0(1(2(0(0(2(1(0(0(2(2(2(1(1(0(0(2(0(2(0(0(2(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(2(1(1(1(2(0(1(0(0(2(1(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(0(0(0(0(0(2(1(1(0(0(0(1(2(1(1(0(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
   0(2(0(1(2(0(0(1(0(1(2(2(1(0(0(1(0(1(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
   0(2(1(0(2(2(2(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
   0(2(1(2(2(0(2(1(0(1(1(0(1(0(1(0(1(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
   1(0(0(1(1(2(1(0(1(1(0(2(2(0(0(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
   1(0(1(0(0(0(1(2(0(2(1(1(1(2(0(0(0(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
   1(0(1(0(0(1(0(0(0(1(1(1(2(0(1(0(2(1(2(0(1(2(0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
   1(0(1(1(2(0(1(1(1(2(1(1(2(0(0(0(2(1(2(1(0(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(1(0(0(1(0(1(1(2(0(0(1(2(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(2(2(0(2(0(0(0(2(0(0(2(1(0(1(0(0(1(1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
   1(1(0(0(0(2(2(1(2(1(0(2(1(1(0(1(2(0(2(1(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
   1(1(0(0(2(1(0(2(2(2(0(1(0(1(2(1(1(1(0(1(2(0(1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
   1(1(0(1(0(0(1(1(2(1(0(2(0(0(1(0(1(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
   1(1(1(2(0(0(0(1(0(0(0(2(1(2(1(0(2(1(2(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   1(1(2(1(2(1(1(1(0(1(0(2(0(1(1(1(0(1(2(2(1(1(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
   1(2(1(1(2(0(0(0(0(1(1(1(1(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
   1(2(1(2(1(0(0(0(1(0(1(0(1(1(2(2(0(2(0(2(1(0(1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
   2(0(1(0(1(0(0(1(1(2(1(2(0(1(0(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(0(1(1(1(0(2(2(1(1(1(1(0(0(0(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
   2(0(1(0(2(1(1(0(2(1(1(0(1(1(0(0(1(2(0(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(2(0(2(0(2(0(1(1(0(0(1(1(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
   2(0(1(1(1(2(1(1(2(1(0(0(2(1(2(0(1(1(1(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
   2(1(0(0(0(2(1(0(1(0(2(0(0(0(0(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
   2(1(0(1(0(0(0(2(1(2(0(2(0(1(2(0(2(1(1(0(2(0(2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
   2(1(0(1(2(1(1(1(1(1(2(0(0(0(0(0(1(0(2(2(1(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))
   2(2(1(0(1(1(1(2(1(0(0(1(1(2(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(1(0(1(1(1(2(1(1(0(1(0(1(1(1(1(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(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
----------------------------------------

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

(16)
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(1(0(0(2(0(2(1(1(2(1(2(1(1(2(1(1(0(0(1(2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
   0(0(0(2(0(1(1(1(2(2(2(2(1(1(1(0(1(1(2(1(1(0(1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
   0(0(1(2(0(0(0(2(1(0(1(0(2(1(1(2(2(0(2(1(2(1(1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
   0(1(0(0(0(2(2(1(1(2(0(2(0(0(0(0(0(0(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
   0(1(0(0(1(2(0(1(2(2(1(1(1(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(1(0(1(2(0(2(0(2(2(0(1(1(0(0(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
   0(1(1(2(0(0(1(1(0(2(0(0(1(0(2(1(1(0(0(2(2(0(0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(0(1(0(2(0(1(0(1(2(0(0(0(2(0(1(1(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
   0(1(2(0(0(2(1(0(0(2(2(2(1(1(0(0(2(0(2(0(0(2(0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(2(1(1(1(2(0(1(0(0(2(1(0(1(1(0(1(0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(0(0(0(0(0(2(1(1(0(0(0(1(2(1(1(0(2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
   0(2(0(1(2(0(0(1(0(1(2(2(1(0(0(1(0(1(0(2(1(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
   0(2(1(0(2(2(2(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
   0(2(1(2(2(0(2(1(0(1(1(0(1(0(1(0(1(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
   1(0(0(1(1(2(1(0(1(1(0(2(2(0(0(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
   1(0(1(0(0(0(1(2(0(2(1(1(1(2(0(0(0(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
   1(0(1(0(0(1(0(0(0(1(1(1(2(0(1(0(2(1(2(0(1(2(0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
   1(0(1(1(2(0(1(1(1(2(1(1(2(0(0(0(2(1(2(1(0(0(0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(1(0(0(1(0(1(1(2(0(0(1(2(2(1(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
   1(0(1(2(0(2(2(0(2(0(0(0(2(0(0(2(1(0(1(0(0(1(1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
   1(1(0(0(0(2(2(1(2(1(0(2(1(1(0(1(2(0(2(1(1(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
   1(1(0(0(2(1(0(2(2(2(0(1(0(1(2(1(1(1(0(1(2(0(1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
   1(1(0(1(0(0(1(1(2(1(0(2(0(0(1(0(1(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
   1(1(1(2(0(0(0(1(0(0(0(2(1(2(1(0(2(1(2(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   1(1(2(1(2(1(1(1(0(1(0(2(0(1(1(1(0(1(2(2(1(1(0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
   1(2(1(1(2(0(0(0(0(1(1(1(1(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
   1(2(1(2(1(0(0(0(1(0(1(0(1(1(2(2(0(2(0(2(1(0(1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
   2(0(1(0(1(0(0(1(1(2(1(2(0(1(0(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(0(1(1(1(0(2(2(1(1(1(1(0(0(0(1(0(2(0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
   2(0(1(0(2(1(1(0(2(1(1(0(1(1(0(0(1(2(0(1(1(2(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
   2(0(1(0(2(2(0(2(0(2(0(1(1(0(0(1(1(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
   2(0(1(1(1(2(1(1(2(1(0(0(2(1(2(0(1(1(1(0(0(0(1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
   2(1(0(0(0(2(1(0(1(0(2(0(0(0(0(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
   2(1(0(1(0(0(0(2(1(2(0(2(0(1(2(0(2(1(1(0(2(0(2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
   2(1(0(1(2(1(1(1(1(1(2(0(0(0(0(0(1(0(2(2(1(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))
   2(2(1(0(1(1(1(2(1(0(0(1(1(2(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(1(0(1(1(1(2(1(1(0(1(0(1(1(1(1(0(2(1(1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(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
----------------------------------------

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

(18)
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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(x1)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))

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

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

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

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

(20)
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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(x1)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))

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

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

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1))))))))))))))))))))))))))) [1]
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1))))))))))))))))))))))))))) [1]
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1))))))))))))))))))))))))))) [1]
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1))))))))))))))))))))))))))) [1]
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1))))))))))))))))))))))))))) [1]
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(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) CpxWeightedTrsRenamingProof (BOTH BOUNDS(ID, ID))
Renamed defined symbols to avoid conflicts with arithmetic symbols:

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

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

(24)
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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(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
----------------------------------------

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

(26)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(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_1:c_2:c_0 -> c_1:c_2:c_0
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_2:c_0
c_2 :: c_1:c_2:c_0 -> c_1:c_2:c_0
1' :: c_1:c_2:c_0 -> c_1:c_2:c_0
2' :: c_1:c_2:c_0 -> c_1:c_2:c_0
encArg :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0
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_1:c_2:c_0
encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0
encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0

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

(27) 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

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(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_1:c_2:c_0:const -> c_1:c_2:c_0:const
c_0 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
c_1 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
c_2 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
1' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
2' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
encArg :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0: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_1:c_2:c_0:const
encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const
encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const
const :: c_1:c_2:c_0:const
const1 :: cons_0:cons_1:cons_2

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

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

(30)
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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1'))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1'))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x1''))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1''))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x11))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x11))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(x12))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x12))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x13))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x13))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(x14))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x14))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(x15))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x15))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x16))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x16))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x17))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x17))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(x18))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x18))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(x19))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x19))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(x110))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x110))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x111))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x111))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(x112))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x112))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(c_0(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(const)))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(x113))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x113))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(x114))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x114))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(x115))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x115))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
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   1'(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1443))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1443))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(x1444))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1444))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(c_0(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(const)))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(x1445))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1445))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(x1446))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1446))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(x1447))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1447))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1448))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1448))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1449))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1449))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(x1450))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1450))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1451))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1451))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1452))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1452))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(x1453))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1453))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(x1454))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1454))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(x1455))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1455))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(x1456))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1456))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1457))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1457))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(c_1(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(const)))))))))))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(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_1:c_2:c_0:const -> c_1:c_2:c_0:const
c_0 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
c_1 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
c_2 :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
1' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
2' :: c_1:c_2:c_0:const -> c_1:c_2:c_0:const
encArg :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0: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_1:c_2:c_0:const
encode_1 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const
encode_2 :: cons_0:cons_1:cons_2 -> c_1:c_2:c_0:const
const :: c_1:c_2:c_0:const
const1 :: cons_0:cons_1:cons_2

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

(31) 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

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

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

   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1363))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1363 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1363)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1356))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1356))))))))))))))))))))))))))))))))))))))))))), x1356 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1365))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1365))))))))))))))))))))))))))))))))))))))))))), x1365 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1360))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1360 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1360)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1357))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1357 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1357)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1368))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1368 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1368)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1361))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1361 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1361)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1366))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1366 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1366)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1359))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1359 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1359)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1364))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1364 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1364)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1358))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1358))))))))))))))))))))))))))))))))))))))))))), x1358 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1367))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1367))))))))))))))))))))))))))))))))))))))))))), x1367 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1362))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1362))))))))))))))))))))))))))))))))))))))))))), x1362 >= 0
   0'(z) -{ 1 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(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 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(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) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1280))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1280))))))))))))))))))))))))))))))))))))))))))), x1280 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1275))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1275 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1275)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1273))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1273 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1273)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1278))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1278))))))))))))))))))))))))))))))))))))))))))), x1278 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1279))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1279 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1279)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1269))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1269 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1269)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1277))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1277))))))))))))))))))))))))))))))))))))))))))), x1277 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1272))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1272))))))))))))))))))))))))))))))))))))))))))), x1272 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1271))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1271 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1271)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1267))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1267 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1267)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1274))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1274))))))))))))))))))))))))))))))))))))))))))), x1274 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1270))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1270))))))))))))))))))))))))))))))))))))))))))), x1270 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1276))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1276))))))))))))))))))))))))))))))))))))))))))), x1276 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1268))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1268))))))))))))))))))))))))))))))))))))))))))), x1268 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(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 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(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) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1252))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1252))))))))))))))))))))))))))))))))))))))))))), x1252 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1247))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1247))))))))))))))))))))))))))))))))))))))))))), x1247 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1245))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1245 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1245)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1250))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1250))))))))))))))))))))))))))))))))))))))))))), x1250 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1251))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1251 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1251)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1241))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1241))))))))))))))))))))))))))))))))))))))))))), x1241 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1249))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1249 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1249)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1244))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1244 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1244)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1243))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1243))))))))))))))))))))))))))))))))))))))))))), x1243 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1239))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1239))))))))))))))))))))))))))))))))))))))))))), x1239 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1246))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1246))))))))))))))))))))))))))))))))))))))))))), x1246 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1242))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1242))))))))))))))))))))))))))))))))))))))))))), x1242 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1248))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1248 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1248)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1240))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1240 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1240)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(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 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(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 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1308))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1308 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1308)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1311))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1311 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1311)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1307))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1307 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1307)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1305))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1305))))))))))))))))))))))))))))))))))))))))))), x1305 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1306))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1306))))))))))))))))))))))))))))))))))))))))))), x1306 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x1314))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1314))))))))))))))))))))))))))))))))))))))))))), x1314 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1309))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1309 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1309)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1313))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1313))))))))))))))))))))))))))))))))))))))))))), x1313 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1310))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1310))))))))))))))))))))))))))))))))))))))))))), x1310 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1312))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1312))))))))))))))))))))))))))))))))))))))))))), x1312 >= 0
   0'(z) -{ 1 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(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 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(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 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1341))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1341 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1341)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1336))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1336))))))))))))))))))))))))))))))))))))))))))), x1336 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1334))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1334))))))))))))))))))))))))))))))))))))))))))), x1334 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1339))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1339 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1339)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1340))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1340 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1340)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1330))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1330))))))))))))))))))))))))))))))))))))))))))), x1330 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1338))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1338))))))))))))))))))))))))))))))))))))))))))), x1338 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1333))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1333 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1333)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1332))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1332 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1332)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1328))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1328))))))))))))))))))))))))))))))))))))))))))), x1328 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1335))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1335 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1335)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1331))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1331))))))))))))))))))))))))))))))))))))))))))), x1331 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1337))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1337 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1337)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1329))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1329 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1329)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(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 }-> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(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 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x150))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x150))))))))))))))))))))))))))))))))))))))))))), x150 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x153))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x153))))))))))))))))))))))))))))))))))))))))))), x153 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x149))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x149 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x149)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x147))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x147 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x147)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x148))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x148))))))))))))))))))))))))))))))))))))))))))), x148 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x156))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x156))))))))))))))))))))))))))))))))))))))))))), x156 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x151))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x151))))))))))))))))))))))))))))))))))))))))))), x151 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x155))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x155 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x155)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x152))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x152 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x152)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x154))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x154 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x154)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(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 }-> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(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 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1298))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1298))))))))))))))))))))))))))))))))))))))))))), x1298 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1301))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1301 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1301)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1297))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1297))))))))))))))))))))))))))))))))))))))))))), x1297 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1295))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1295 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1295)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1296))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1296))))))))))))))))))))))))))))))))))))))))))), x1296 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x1304))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1304))))))))))))))))))))))))))))))))))))))))))), x1304 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1299))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1299))))))))))))))))))))))))))))))))))))))))))), x1299 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1303))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1303))))))))))))))))))))))))))))))))))))))))))), x1303 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1300))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1300))))))))))))))))))))))))))))))))))))))))))), x1300 >= 0
   0'(z) -{ 2 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1302))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1302))))))))))))))))))))))))))))))))))))))))))), x1302 >= 0
   0'(z) -{ 1 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(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)))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(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)))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1232))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1232 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1232)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1235))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1235))))))))))))))))))))))))))))))))))))))))))), x1235 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1231))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1231))))))))))))))))))))))))))))))))))))))))))), x1231 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1229))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1229))))))))))))))))))))))))))))))))))))))))))), x1229 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1230))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1230 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1230)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x1238))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1238 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1238)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1233))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1233 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1233)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1237))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1237))))))))))))))))))))))))))))))))))))))))))), x1237 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1234))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1234))))))))))))))))))))))))))))))))))))))))))), x1234 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1236))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1236))))))))))))))))))))))))))))))))))))))))))), x1236 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(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 }-> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(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 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1223))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1223 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1223)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1216))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1216))))))))))))))))))))))))))))))))))))))))))), x1216 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1225))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1225 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1225)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1220))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1220))))))))))))))))))))))))))))))))))))))))))), x1220 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1217))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1217))))))))))))))))))))))))))))))))))))))))))), x1217 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1228))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1228))))))))))))))))))))))))))))))))))))))))))), x1228 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1221))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1221))))))))))))))))))))))))))))))))))))))))))), x1221 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1226))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1226))))))))))))))))))))))))))))))))))))))))))), x1226 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1219))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1219 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1219)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1224))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1224))))))))))))))))))))))))))))))))))))))))))), x1224 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1218))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1218 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1218)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1227))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1227 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1227)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1222))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1222))))))))))))))))))))))))))))))))))))))))))), x1222 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(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)))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(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)))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(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 + (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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x16))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x16))))))))))))))))))))))))))))))))))))))))))), x16 >= 0
   0'(z) -{ 2 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(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 + (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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(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 }-> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(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'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1266))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1266))))))))))))))))))))))))))))))))))))))))))), x1266 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1261))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1261 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1261)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1259))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1259 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1259)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1264))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1264 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1264)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1265))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1265 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1265)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1255))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1255 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1255)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1263))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1263 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1263)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1258))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1258 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1258)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1257))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1257 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1257)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1253))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1253 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1253)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1260))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1260))))))))))))))))))))))))))))))))))))))))))), x1260 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1256))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1256))))))))))))))))))))))))))))))))))))))))))), x1256 >= 0
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1262))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1262 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1262)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1254))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1254 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1254)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(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'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(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'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1144))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1144 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1144)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1139))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1139))))))))))))))))))))))))))))))))))))))))))), x1139 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1137))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1137))))))))))))))))))))))))))))))))))))))))))), x1137 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1142))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1142 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1142)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1143))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1143))))))))))))))))))))))))))))))))))))))))))), x1143 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1133))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1133))))))))))))))))))))))))))))))))))))))))))), x1133 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1141))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1141))))))))))))))))))))))))))))))))))))))))))), x1141 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1136))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1136 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1136)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1135))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1135)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1131))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1131 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1131)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1138))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1138))))))))))))))))))))))))))))))))))))))))))), x1138 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1134))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1134))))))))))))))))))))))))))))))))))))))))))), x1134 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1140))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1140))))))))))))))))))))))))))))))))))))))))))), x1140 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1132))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1132 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1132)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(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)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(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)))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1294))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1294 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1294)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1289))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1289))))))))))))))))))))))))))))))))))))))))))), x1289 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1287))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1287))))))))))))))))))))))))))))))))))))))))))), x1287 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1292))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1292 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1292)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1293))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1293))))))))))))))))))))))))))))))))))))))))))), x1293 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1283))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1283 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1283)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1291))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1291))))))))))))))))))))))))))))))))))))))))))), x1291 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1286))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1286 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1286)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1285))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1285))))))))))))))))))))))))))))))))))))))))))), x1285 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1281))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1281))))))))))))))))))))))))))))))))))))))))))), x1281 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1288))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1288))))))))))))))))))))))))))))))))))))))))))), x1288 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1284))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1284))))))))))))))))))))))))))))))))))))))))))), x1284 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1290))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1290))))))))))))))))))))))))))))))))))))))))))), x1290 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1282))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1282 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1282)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(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'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(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) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x116))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x116 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x116)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x119))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x119))))))))))))))))))))))))))))))))))))))))))), x119 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(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'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x113))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x113 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x113)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(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'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x122))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x122))))))))))))))))))))))))))))))))))))))))))), x122 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x117))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x117 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x117)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x121))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x121))))))))))))))))))))))))))))))))))))))))))), x121 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x118))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x118))))))))))))))))))))))))))))))))))))))))))), x118 >= 0
   0'(z) -{ 2 }-> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x120))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x120 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x120)))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(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'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(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) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1195))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1195 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1195)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1190))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1190))))))))))))))))))))))))))))))))))))))))))), x1190 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1188))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1188))))))))))))))))))))))))))))))))))))))))))), x1188 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1193))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1193 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1193)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1194))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1194 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1194)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1184))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1184))))))))))))))))))))))))))))))))))))))))))), x1184 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1192))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1192))))))))))))))))))))))))))))))))))))))))))), x1192 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1187))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1187 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1187)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1186))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1186))))))))))))))))))))))))))))))))))))))))))), x1186 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1182))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1182))))))))))))))))))))))))))))))))))))))))))), x1182 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1189))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1189))))))))))))))))))))))))))))))))))))))))))), x1189 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1185))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1185 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1185)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1191))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1191))))))))))))))))))))))))))))))))))))))))))), x1191 >= 0
   1'(z) -{ 2 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1183))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1183 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1183)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(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)))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x126))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x126))))))))))))))))))))))))))))))))))))))))))), x126 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x129))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x129))))))))))))))))))))))))))))))))))))))))))), x129 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x125))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x125))))))))))))))))))))))))))))))))))))))))))), x125 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x123))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x123 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x123)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x124))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x124 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x124)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x132))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x132 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x132)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x127))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x127))))))))))))))))))))))))))))))))))))))))))), x127 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x131))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x131))))))))))))))))))))))))))))))))))))))))))), x131 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x128))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x128))))))))))))))))))))))))))))))))))))))))))), x128 >= 0
   1'(z) -{ 2 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x130))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x130))))))))))))))))))))))))))))))))))))))))))), x130 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(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)))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1322))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1322 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1322)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1315))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1315))))))))))))))))))))))))))))))))))))))))))), x1315 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1324))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1324))))))))))))))))))))))))))))))))))))))))))), x1324 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1319))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1319 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1319)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1316))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1316))))))))))))))))))))))))))))))))))))))))))), x1316 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1327))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1327 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1327)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1320))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1320 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1320)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1325))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1325 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1325)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1318))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1318))))))))))))))))))))))))))))))))))))))))))), x1318 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1323))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1323 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1323)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1317))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1317))))))))))))))))))))))))))))))))))))))))))), x1317 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1326))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1326 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1326)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1321))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1321 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1321)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(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)))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1116))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1116 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1116)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1111))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1111))))))))))))))))))))))))))))))))))))))))))), x1111 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1109))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1109))))))))))))))))))))))))))))))))))))))))))), x1109 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1114))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1114 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1114)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1115))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1115 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1115)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1105))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1105))))))))))))))))))))))))))))))))))))))))))), x1105 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1113))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1113))))))))))))))))))))))))))))))))))))))))))), x1113 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1108))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1108))))))))))))))))))))))))))))))))))))))))))), x1108 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1107))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1107 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1107)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1103))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1103))))))))))))))))))))))))))))))))))))))))))), x1103 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1110))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1110))))))))))))))))))))))))))))))))))))))))))), x1110 >= 0
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1106))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1106 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1106)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1112))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1112 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1112)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1104))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1104 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1104)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(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)))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x146))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x146))))))))))))))))))))))))))))))))))))))))))), x146 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x141))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x141))))))))))))))))))))))))))))))))))))))))))), x141 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x139))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x139))))))))))))))))))))))))))))))))))))))))))), x139 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x144))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x144))))))))))))))))))))))))))))))))))))))))))), x144 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x145))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x145 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x145)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x135))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x135)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x143))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x143))))))))))))))))))))))))))))))))))))))))))), x143 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x138))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x138))))))))))))))))))))))))))))))))))))))))))), x138 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x137))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x137))))))))))))))))))))))))))))))))))))))))))), x137 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x133))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x133))))))))))))))))))))))))))))))))))))))))))), x133 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x140))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x140))))))))))))))))))))))))))))))))))))))))))), x140 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x136))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x136 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x136)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x142))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x142))))))))))))))))))))))))))))))))))))))))))), x142 >= 0
   1'(z) -{ 2 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x134))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x134))))))))))))))))))))))))))))))))))))))))))), x134 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(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'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(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) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1444))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1444))))))))))))))))))))))))))))))))))))))))))), x1444 >= 0
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1439))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1439 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1439)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1437))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1437 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1437)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1442))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1442 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1442)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1443))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1443))))))))))))))))))))))))))))))))))))))))))), x1443 >= 0
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1433))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1433))))))))))))))))))))))))))))))))))))))))))), x1433 >= 0
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1441))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1441 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1441)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1436))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1436))))))))))))))))))))))))))))))))))))))))))), x1436 >= 0
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1435))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1435 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1435)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1431))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1431 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1431)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1438))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1438))))))))))))))))))))))))))))))))))))))))))), x1438 >= 0
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1434))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1434))))))))))))))))))))))))))))))))))))))))))), x1434 >= 0
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1440))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1440))))))))))))))))))))))))))))))))))))))))))), x1440 >= 0
   1'(z) -{ 2 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1432))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1432 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1432)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(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)))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1130))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1130))))))))))))))))))))))))))))))))))))))))))), x1130 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1125))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1125))))))))))))))))))))))))))))))))))))))))))), x1125 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1123))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1123 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1123)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1128))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1128 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1128)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1129))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1129))))))))))))))))))))))))))))))))))))))))))), x1129 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1119))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1119))))))))))))))))))))))))))))))))))))))))))), x1119 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1127))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1127))))))))))))))))))))))))))))))))))))))))))), x1127 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1122))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1122 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1122)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1121))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1121))))))))))))))))))))))))))))))))))))))))))), x1121 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1117))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1117))))))))))))))))))))))))))))))))))))))))))), x1117 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1124))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1124 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1124)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1120))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1120))))))))))))))))))))))))))))))))))))))))))), x1120 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1126))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1126 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1126)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1118))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1118 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1118)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(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)))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1372))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1372))))))))))))))))))))))))))))))))))))))))))), x1372 >= 0
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1375))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1375))))))))))))))))))))))))))))))))))))))))))), x1375 >= 0
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1371))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1371))))))))))))))))))))))))))))))))))))))))))), x1371 >= 0
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1369))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1369))))))))))))))))))))))))))))))))))))))))))), x1369 >= 0
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1370))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1370 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1370)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x1378))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1378 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1378)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1373))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1373))))))))))))))))))))))))))))))))))))))))))), x1373 >= 0
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1377))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1377))))))))))))))))))))))))))))))))))))))))))), x1377 >= 0
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1374))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1374))))))))))))))))))))))))))))))))))))))))))), x1374 >= 0
   1'(z) -{ 2 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1376))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1376 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1376)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(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 }-> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(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 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x187))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x187 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x187)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x180))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x180))))))))))))))))))))))))))))))))))))))))))), x180 >= 0
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x189))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x189))))))))))))))))))))))))))))))))))))))))))), x189 >= 0
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x184))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x184))))))))))))))))))))))))))))))))))))))))))), x184 >= 0
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x181))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x181 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x181)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x192))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x192))))))))))))))))))))))))))))))))))))))))))), x192 >= 0
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x185))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x185 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x185)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x190))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x190))))))))))))))))))))))))))))))))))))))))))), x190 >= 0
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x183))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x183 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x183)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x188))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x188))))))))))))))))))))))))))))))))))))))))))), x188 >= 0
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x182))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x182 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x182)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x191))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x191))))))))))))))))))))))))))))))))))))))))))), x191 >= 0
   1'(z) -{ 2 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x186))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x186 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x186)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(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)))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1199))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1199 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1199)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1202))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1202 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1202)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1198))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1198))))))))))))))))))))))))))))))))))))))))))), x1198 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1196))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1196))))))))))))))))))))))))))))))))))))))))))), x1196 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1197))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1197))))))))))))))))))))))))))))))))))))))))))), x1197 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x1205))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1205))))))))))))))))))))))))))))))))))))))))))), x1205 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1200))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1200 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1200)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1204))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1204))))))))))))))))))))))))))))))))))))))))))), x1204 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1201))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1201 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1201)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1203))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1203 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1203)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(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)))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x173))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x173 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x173)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x176))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x176 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x176)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x172))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x172))))))))))))))))))))))))))))))))))))))))))), x172 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x170))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x170))))))))))))))))))))))))))))))))))))))))))), x170 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x171))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x171))))))))))))))))))))))))))))))))))))))))))), x171 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x179))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x179))))))))))))))))))))))))))))))))))))))))))), x179 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x174))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x174))))))))))))))))))))))))))))))))))))))))))), x174 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x178))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x178))))))))))))))))))))))))))))))))))))))))))), x178 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x175))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x175 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x175)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x177))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x177 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x177)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(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 }-> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(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 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1430))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1430))))))))))))))))))))))))))))))))))))))))))), x1430 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1425))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1425 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1425)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1423))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1423 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1423)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1428))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1428 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1428)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1429))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1429 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1429)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1419))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1419))))))))))))))))))))))))))))))))))))))))))), x1419 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1427))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1427 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1427)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1422))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1422))))))))))))))))))))))))))))))))))))))))))), x1422 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1421))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1421 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1421)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1417))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1417))))))))))))))))))))))))))))))))))))))))))), x1417 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1424))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1424))))))))))))))))))))))))))))))))))))))))))), x1424 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1420))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1420 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1420)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1426))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1426))))))))))))))))))))))))))))))))))))))))))), x1426 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1418))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1418 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1418)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(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)))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1176))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1176 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1176)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1169))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1169))))))))))))))))))))))))))))))))))))))))))), x1169 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1178))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1178))))))))))))))))))))))))))))))))))))))))))), x1178 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1173))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1173 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1173)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1170))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1170))))))))))))))))))))))))))))))))))))))))))), x1170 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1181))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1181 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1181)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1174))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1174))))))))))))))))))))))))))))))))))))))))))), x1174 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1179))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1179 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1179)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1172))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1172))))))))))))))))))))))))))))))))))))))))))), x1172 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1177))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1177))))))))))))))))))))))))))))))))))))))))))), x1177 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1171))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1171))))))))))))))))))))))))))))))))))))))))))), x1171 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1180))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1180))))))))))))))))))))))))))))))))))))))))))), x1180 >= 0
   1'(z) -{ 2 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1175))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1175 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1175)))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(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)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(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)))))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(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
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(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)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(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
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1166))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1166 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1166)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(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)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(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
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(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
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1160))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1160))))))))))))))))))))))))))))))))))))))))))), x1160 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(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)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(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)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(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)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1158))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1158))))))))))))))))))))))))))))))))))))))))))), x1158 >= 0
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(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)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1156))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1156 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1156)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(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)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(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)))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1392))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1392 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1392)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1387))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1387))))))))))))))))))))))))))))))))))))))))))), x1387 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1385))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1385))))))))))))))))))))))))))))))))))))))))))), x1385 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1390))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1390 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1390)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1391))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1391))))))))))))))))))))))))))))))))))))))))))), x1391 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1381))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1381))))))))))))))))))))))))))))))))))))))))))), x1381 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1389))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1389))))))))))))))))))))))))))))))))))))))))))), x1389 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1384))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1384))))))))))))))))))))))))))))))))))))))))))), x1384 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1383))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1383))))))))))))))))))))))))))))))))))))))))))), x1383 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1379))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1379))))))))))))))))))))))))))))))))))))))))))), x1379 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1386))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1386))))))))))))))))))))))))))))))))))))))))))), x1386 >= 0
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1382))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1382 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1382)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1388))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1388 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1388)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1380))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1380 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1380)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(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)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(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)))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1148))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1148))))))))))))))))))))))))))))))))))))))))))), x1148 >= 0
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1151))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1151 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1151)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1147))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1147 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1147)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1145))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1145 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1145)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1146))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1146))))))))))))))))))))))))))))))))))))))))))), x1146 >= 0
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(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)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1149))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1149 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1149)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(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
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1150))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1150))))))))))))))))))))))))))))))))))))))))))), x1150 >= 0
   2'(z) -{ 2 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(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)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(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)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(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)))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x164))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x164 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x164)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x157))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x157))))))))))))))))))))))))))))))))))))))))))), x157 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x166))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x166 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x166)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x161))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x161))))))))))))))))))))))))))))))))))))))))))), x161 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x158))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x158))))))))))))))))))))))))))))))))))))))))))), x158 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x169))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x169))))))))))))))))))))))))))))))))))))))))))), x169 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x162))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x162 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x162)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x167))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x167))))))))))))))))))))))))))))))))))))))))))), x167 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x160))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x160))))))))))))))))))))))))))))))))))))))))))), x160 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x165))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x165))))))))))))))))))))))))))))))))))))))))))), x165 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x159))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x159 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x159)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x168))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x168))))))))))))))))))))))))))))))))))))))))))), x168 >= 0
   2'(z) -{ 2 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x163))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x163 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x163)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(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)))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(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)))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x196))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x196))))))))))))))))))))))))))))))))))))))))))), x196 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x199))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x199))))))))))))))))))))))))))))))))))))))))))), x199 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x195))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x195))))))))))))))))))))))))))))))))))))))))))), x195 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x193))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x193 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x193)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x194))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x194))))))))))))))))))))))))))))))))))))))))))), x194 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x1102))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1102 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1102)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x197))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x197 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x197)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1101))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1101))))))))))))))))))))))))))))))))))))))))))), x1101 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x198))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x198))))))))))))))))))))))))))))))))))))))))))), x198 >= 0
   2'(z) -{ 2 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1100))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1100))))))))))))))))))))))))))))))))))))))))))), x1100 >= 0
   2'(z) -{ 1 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(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 }-> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(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) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1452))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1452))))))))))))))))))))))))))))))))))))))))))), x1452 >= 0
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1445))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1445))))))))))))))))))))))))))))))))))))))))))), x1445 >= 0
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1454))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1454))))))))))))))))))))))))))))))))))))))))))), x1454 >= 0
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1449))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1449 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1449)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1446))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1446 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1446)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1457))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1457 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1457)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1450))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1450))))))))))))))))))))))))))))))))))))))))))), x1450 >= 0
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1455))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1455))))))))))))))))))))))))))))))))))))))))))), x1455 >= 0
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1448))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1448))))))))))))))))))))))))))))))))))))))))))), x1448 >= 0
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1453))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1453))))))))))))))))))))))))))))))))))))))))))), x1453 >= 0
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1447))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1447))))))))))))))))))))))))))))))))))))))))))), x1447 >= 0
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1456))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1456 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1456)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1451))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1451 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1451)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(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)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(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)))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1209))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1209 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1209)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1212))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1212))))))))))))))))))))))))))))))))))))))))))), x1212 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1208))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1208))))))))))))))))))))))))))))))))))))))))))), x1208 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1206))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1206 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1206)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1207))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1207))))))))))))))))))))))))))))))))))))))))))), x1207 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x1215))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1215))))))))))))))))))))))))))))))))))))))))))), x1215 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1210))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1210 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1210)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1214))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1214 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1214)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1211))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1211))))))))))))))))))))))))))))))))))))))))))), x1211 >= 0
   2'(z) -{ 2 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1213))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1213))))))))))))))))))))))))))))))))))))))))))), x1213 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(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)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(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)))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1416))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1416))))))))))))))))))))))))))))))))))))))))))), x1416 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1411))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1411 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1411)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1409))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1409 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1409)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1414))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1414))))))))))))))))))))))))))))))))))))))))))), x1414 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1415))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1415))))))))))))))))))))))))))))))))))))))))))), x1415 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1405))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1405 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1405)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1413))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1413))))))))))))))))))))))))))))))))))))))))))), x1413 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1408))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1408))))))))))))))))))))))))))))))))))))))))))), x1408 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1407))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1407 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1407)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1403))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1403 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1403)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1410))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1410 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1410)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1406))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1406))))))))))))))))))))))))))))))))))))))))))), x1406 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1412))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1412))))))))))))))))))))))))))))))))))))))))))), x1412 >= 0
   2'(z) -{ 2 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1404))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1404 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1404)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(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)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(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)))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1355))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1355))))))))))))))))))))))))))))))))))))))))))), x1355 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1350))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1350))))))))))))))))))))))))))))))))))))))))))), x1350 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1348))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1348))))))))))))))))))))))))))))))))))))))))))), x1348 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1353))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1353 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1353)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1354))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1354 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1354)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1344))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1344))))))))))))))))))))))))))))))))))))))))))), x1344 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1352))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1352))))))))))))))))))))))))))))))))))))))))))), x1352 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1347))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1347 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1347)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1346))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1346))))))))))))))))))))))))))))))))))))))))))), x1346 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1342))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1342 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1342)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1349))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1349 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1349)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1345))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1345 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1345)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1351))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1351 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1351)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1343))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1343))))))))))))))))))))))))))))))))))))))))))), x1343 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(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)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(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)))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1396))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1396 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1396)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1399))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1399))))))))))))))))))))))))))))))))))))))))))), x1399 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1395))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1395))))))))))))))))))))))))))))))))))))))))))), x1395 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1393))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1393))))))))))))))))))))))))))))))))))))))))))), x1393 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1394))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1394 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1394)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(x1402))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1402))))))))))))))))))))))))))))))))))))))))))), x1402 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1397))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1397))))))))))))))))))))))))))))))))))))))))))), x1397 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1401))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1401 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1401)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1398))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1398 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1398)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1400))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1400 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1400)))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(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)))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(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)))))))))))))))))))))
   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


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

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

(34)
Obligation:
Complexity RNTS consisting of the following rules:

   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 1 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(0)))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0)))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 1 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0)))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
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   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0)))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(1 + (z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 2 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0)))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1 + (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


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

(35) 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

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

(36)
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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(1'(0'(2'(0'(1'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(0'(0'(2'(2'(2'(1'(1'(1'(0'(0'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(1'(1'(0'(2'(1'(1'(0'(1'(0'(2'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(2'(0'(1'(2'(1'(1'(1'(0'(2'(1'(0'(0'(1'(0'(0'(0'(2'(2'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1'(0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(0'(0'(0'(1'(0'(0'(1'(0'(2'(0'(0'(0'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(1'(1'(2'(0'(0'(0'(2'(1'(1'(2'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(2'(2'(0'(2'(2'(1'(0'(2'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(2'(2'(1'(0'(2'(1'(0'(1'(1'(1'(1'(0'(0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 1'(1'(1'(0'(0'(0'(1'(0'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(1'(1'(0'(1'(2'(1'(1'(2'(0'(0'(1'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(1'(2'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(1'(0'(1'(1'(0'(2'(1'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(0'(0'(2'(0'(2'(2'(0'(0'(2'(1'(2'(0'(0'(0'(2'(2'(2'(1'(2'(1'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(1'(0'(2'(0'(0'(1'(1'(1'(0'(1'(0'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(1'(1'(0'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(1'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(2'(0'(2'(0'(2'(2'(0'(1'(0'(1'(1'(0'(0'(0'(2'(2'(2'(2'(1'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(2'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(1'(0'(2'(1'(1'(0'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(1'(2'(0'(0'(0'(1'(2'(0'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(1'(0'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 1'(1'(2'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(2'(2'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(2'(1'(1'(2'(1'(1'(2'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(1'(0'(1'(2'(1'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(1'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(1'(0'(2'(1'(0'(1'(0'(1'(1'(1'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(1'(0'(0'(2'(1'(0'(2'(0'(0'(1'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(0'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(x1))))))))))))))))))))))) -> 1'(1'(1'(0'(2'(0'(2'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(1'(1'(1'(1'(1'(0'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(1'(1'(2'(1'(0'(1'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(1'(0'(2'(0'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(2'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(2'(1'(0'(0'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(1'(0'(0'(0'(2'(1'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(0'(2'(1'(0'(1'(0'(0'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(2'(0'(0'(2'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(0'(0'(1'(2'(0'(0'(2'(0'(1'(0'(0'(0'(2'(0'(2'(0'(2'(0'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 0'(0'(0'(2'(1'(0'(0'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(1'(0'(1'(2'(1'(0'(2'(0'(1'(1'(1'(1'(0'(1'(0'(1'(0'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(0'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(1'(1'(0'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(0'(1'(0'(1'(2'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(1'(0'(1'(0'(2'(1'(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_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_0 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_1 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_2 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
1' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
2' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_1:c_2:c_0: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_1:c_2:c_0: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_1:c_2:c_0: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_1:c_2:c_0: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_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encArg :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_0 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_1 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_2 :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_0' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_1' :: c_1:c_2:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_2' :: c_1:c_2:c_0: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
----------------------------------------

(37) 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

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

(38)
Obligation:
Complexity RNTS consisting of the following rules:

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

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

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(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
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c7(1'(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(z0))))))))))), 0'(2(0(1(1(0(1(0(1(0(z0)))))))))), 2'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(1'(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))))))))), 0'(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))), 1'(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))), 2'(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))))), 1'(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))), 0'(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))), 1'(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))), 2'(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))), 0'(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))), 0'(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(1(0(2(0(0(0(2(1(1(2(z0))))))))))), 1'(0(2(0(0(0(2(1(1(2(z0)))))))))), 0'(2(0(0(0(2(1(1(2(z0))))))))), 2'(0(0(0(2(1(1(2(z0)))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c10(0'(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))))))))))), 0'(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))), 0'(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))))))))), 2'(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))), 0'(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))))))), 1'(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))), 2'(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))))), 0'(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))), 1'(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))), 1'(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))), 1'(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))), 1'(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))), 0'(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))), 0'(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))), 2'(1(0(1(1(0(2(1(1(0(0(z0))))))))))), 1'(0(1(1(0(2(1(1(0(0(z0)))))))))), 0'(1(1(0(2(1(1(0(0(z0))))))))), 1'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c11(1'(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))), 0'(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))), 0'(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))), 1'(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))), 0'(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))), 0'(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))), 0'(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))), 0'(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))), 2'(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))), 1'(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))), 0'(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))), 0'(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))), 1'(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))), 2'(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))), 2'(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))), 0'(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))), 1'(0(2(1(1(0(0(0(1(0(1(z0))))))))))), 0'(2(1(1(0(0(0(1(0(1(z0)))))))))), 2'(1(1(0(0(0(1(0(1(z0))))))))), 1'(1(0(0(0(1(0(1(z0)))))))), 1'(0(0(0(1(0(1(z0))))))), 0'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c19(1'(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))))), 0'(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))), 1'(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))))), 1'(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))), 2'(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0))))))))))))))))))))))), 1'(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))), 0'(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0))))))))))))))))))))), 1'(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))), 1'(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0))))))))))))))))))), 0'(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))), 0'(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0))))))))))))))))), 2'(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))), 1'(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0))))))))))))))), 0'(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))), 1'(1(2(1(1(0(2(0(1(2(0(0(0(z0))))))))))))), 1'(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))), 2'(1(1(0(2(0(1(2(0(0(0(z0))))))))))), 1'(1(0(2(0(1(2(0(0(0(z0)))))))))), 1'(0(2(0(1(2(0(0(0(z0))))))))), 0'(2(0(1(2(0(0(0(z0)))))))), 2'(0(1(2(0(0(0(z0))))))), 0'(1(2(0(0(0(z0)))))), 1'(2(0(0(0(z0))))), 2'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> c20(2'(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0))))))))))))))))))))))))))), 1'(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))), 1'(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0))))))))))))))))))))))))), 0'(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))), 0'(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0))))))))))))))))))))))), 0'(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))), 2'(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0))))))))))))))))))))), 1'(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))), 0'(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0))))))))))))))))), 0'(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))), 2'(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0))))))))))))))), 0'(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))), 1'(1(2(1(0(0(2(1(0(1(0(0(1(z0))))))))))))), 1'(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))), 2'(1(0(0(2(1(0(1(0(0(1(z0))))))))))), 1'(0(0(2(1(0(1(0(0(1(z0)))))))))), 0'(0(2(1(0(1(0(0(1(z0))))))))), 0'(2(1(0(1(0(0(1(z0)))))))), 2'(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))
   1'(z0) -> c21
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   1'(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> c31(1'(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0))))))))))))))))))))))))))), 1'(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))), 1'(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0))))))))))))))))))))))))), 0'(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))), 2'(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0))))))))))))))))))))))), 0'(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))), 2'(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0))))))))))))))))))))), 1'(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))), 0'(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0))))))))))))))))))), 1'(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))), 0'(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0))))))))))))))))), 0'(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))), 2'(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0))))))))))))))), 1'(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))), 1'(2(2(0(1(1(1(1(1(0(0(1(1(z0))))))))))))), 2'(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))), 2'(0(1(1(1(1(1(0(0(1(1(z0))))))))))), 0'(1(1(1(1(1(0(0(1(1(z0)))))))))), 1'(1(1(1(1(0(0(1(1(z0))))))))), 1'(1(1(1(0(0(1(1(z0)))))))), 1'(1(1(0(0(1(1(z0))))))), 1'(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))
   1'(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> c32(0'(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0))))))))))))))))))))))))))), 0'(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))), 2'(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0))))))))))))))))))))))))), 0'(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))), 0'(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0))))))))))))))))))))))), 2'(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))), 0'(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0))))))))))))))))))))), 0'(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))), 2'(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0))))))))))))))))))), 0'(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))), 0'(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0))))))))))))))))), 0'(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))), 2'(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0))))))))))))))), 1'(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))), 0'(0(1(1(0(1(0(1(1(1(2(0(2(z0))))))))))))), 0'(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))), 1'(1(0(1(0(1(1(1(2(0(2(z0))))))))))), 1'(0(1(0(1(1(1(2(0(2(z0)))))))))), 0'(1(0(1(1(1(2(0(2(z0))))))))), 1'(0(1(1(1(2(0(2(z0)))))))), 0'(1(1(1(2(0(2(z0))))))), 1'(1(1(2(0(2(z0)))))), 1'(1(2(0(2(z0))))), 1'(2(0(2(z0)))), 2'(0(2(z0))), 0'(2(z0)), 2'(z0))
   1'(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> c33(0'(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))), 0'(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0))))))))))))))))))))))))), 1'(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0))))))))))))))))))))))), 1'(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))), 1'(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0))))))))))))))))))))), 0'(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))), 1'(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0))))))))))))))))))), 2'(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))), 1'(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0))))))))))))))))), 0'(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))), 2'(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0))))))))))))))), 0'(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))), 1'(1(1(1(0(1(0(1(0(2(0(1(0(z0))))))))))))), 1'(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))), 1'(1(0(1(0(1(0(2(0(1(0(z0))))))))))), 1'(0(1(0(1(0(2(0(1(0(z0)))))))))), 0'(1(0(1(0(2(0(1(0(z0))))))))), 1'(0(1(0(2(0(1(0(z0)))))))), 0'(1(0(2(0(1(0(z0))))))), 1'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   2'(z0) -> c35
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   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27


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

(41) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   0'(z0) -> c6
   2'(z0) -> c35
   1'(z0) -> c21

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c7(1'(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(z0))))))))))), 0'(2(0(1(1(0(1(0(1(0(z0)))))))))), 2'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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S tuples:
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   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27


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

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c7(1'(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(z0))))))))))), 0'(2(0(1(1(0(1(0(1(0(z0)))))))))), 2'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> c8(0'(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))))), 1'(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))), 0'(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))), 0'(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))), 1'(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))), 0'(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))), 1'(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))), 0'(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))), 0'(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))), 0'(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(1(1(1(0(0(0(2(2(z0))))))))))), 2'(2(1(1(1(0(0(0(2(2(z0)))))))))), 2'(1(1(1(0(0(0(2(2(z0))))))))), 1'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(1'(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))))))))), 0'(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))), 1'(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))), 2'(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))))), 1'(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))), 0'(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))), 1'(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))), 2'(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))), 0'(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))), 0'(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(1(0(2(0(0(0(2(1(1(2(z0))))))))))), 1'(0(2(0(0(0(2(1(1(2(z0)))))))))), 0'(2(0(0(0(2(1(1(2(z0))))))))), 2'(0(0(0(2(1(1(2(z0)))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c10(0'(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))))))))))), 0'(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))), 0'(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))))))))), 2'(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))), 0'(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))))))), 1'(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))), 2'(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))))), 0'(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))), 1'(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))))), 1'(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))), 1'(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))))), 1'(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))), 0'(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))))), 2'(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))), 0'(0(2(1(0(1(1(0(2(1(1(0(0(z0))))))))))))), 0'(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))), 2'(1(0(1(1(0(2(1(1(0(0(z0))))))))))), 1'(0(1(1(0(2(1(1(0(0(z0)))))))))), 0'(1(1(0(2(1(1(0(0(z0))))))))), 1'(1(0(2(1(1(0(0(z0)))))))), 1'(0(2(1(1(0(0(z0))))))), 0'(2(1(1(0(0(z0)))))), 2'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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:
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c7(1'(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(z0))))))))))), 0'(2(0(1(1(0(1(0(1(0(z0)))))))))), 2'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> c8(0'(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))))), 1'(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))), 0'(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))), 0'(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))), 1'(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))), 0'(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))), 1'(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))), 0'(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))), 0'(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))), 0'(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(1(1(1(0(0(0(2(2(z0))))))))))), 2'(2(1(1(1(0(0(0(2(2(z0)))))))))), 2'(1(1(1(0(0(0(2(2(z0))))))))), 1'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1


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

(45) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 3 leading nodes:
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_2(z0) -> c6(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))
   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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c7(1'(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(z0))))))))))), 0'(2(0(1(1(0(1(0(1(0(z0)))))))))), 2'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1


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

(47) 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))

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c7(1'(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(z0))))))))))), 0'(2(0(1(1(0(1(0(1(0(z0)))))))))), 2'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   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_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1


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

(49) 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)))

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c7(1'(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(z0))))))))))), 0'(2(0(1(1(0(1(0(1(0(z0)))))))))), 2'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1, c_2


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

(51) 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)))

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c7(1'(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(z0))))))))))), 0'(2(0(1(1(0(1(0(1(0(z0)))))))))), 2'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1, c_2, c1_2


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

(53) 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)))

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
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   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))))
Tuples:
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   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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)))
S tuples:
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   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1, c_2, c1_2, c2_2


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

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

(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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
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   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
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   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))))
Tuples:
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   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1, c_2, c1_2, c2_2, c7_27


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> c8(0'(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))), 0'(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))))), 1'(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))), 0'(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))))), 0'(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))), 2'(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))))), 0'(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))), 1'(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))))), 0'(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))), 1'(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))))), 0'(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))), 0'(0(2(2(2(1(1(1(0(0(0(2(2(z0))))))))))))), 0'(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))), 2'(2(2(1(1(1(0(0(0(2(2(z0))))))))))), 2'(2(1(1(1(0(0(0(2(2(z0)))))))))), 2'(1(1(1(0(0(0(2(2(z0))))))))), 1'(1(1(0(0(0(2(2(z0)))))))), 1'(1(0(0(0(2(2(z0))))))), 1'(0(0(0(2(2(z0)))))), 0'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0)) by 
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x0))))))))))))))))))))))) -> c8(0'(c_0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))))), 0'(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))))), 0'(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))), 1'(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))), 0'(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))), 0'(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))), 2'(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))), 0'(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))), 1'(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))), 0'(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))), 1'(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))), 0'(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))), 0'(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))), 0'(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))), 2'(2(2(1(1(1(0(0(0(2(2(x0))))))))))), 2'(2(1(1(1(0(0(0(2(2(x0)))))))))), 2'(1(1(1(0(0(0(2(2(x0))))))))), 1'(1(1(0(0(0(2(2(x0)))))))), 1'(1(0(0(0(2(2(x0))))))), 1'(0(0(0(2(2(x0)))))), 0'(0(0(2(2(x0))))), 0'(0(2(2(x0)))), 0'(2(2(x0))), 2'(2(x0)), 2'(x0))
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x0))))))))))))))))))))))) -> c8(0'(0(c_0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))))), 0'(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))))), 0'(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))), 1'(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))), 0'(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))), 0'(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))), 2'(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))), 0'(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))), 1'(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))), 0'(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))), 1'(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))), 0'(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))), 0'(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))), 0'(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))), 2'(2(2(1(1(1(0(0(0(2(2(x0))))))))))), 2'(2(1(1(1(0(0(0(2(2(x0)))))))))), 2'(1(1(1(0(0(0(2(2(x0))))))))), 1'(1(1(0(0(0(2(2(x0)))))))), 1'(1(0(0(0(2(2(x0))))))), 1'(0(0(0(2(2(x0)))))), 0'(0(0(2(2(x0))))), 0'(0(2(2(x0)))), 0'(2(2(x0))), 2'(2(x0)), 2'(x0))
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x0))))))))))))))))))))))) -> c8(0'(0(0(c_0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))))), 0'(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))))), 0'(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))), 1'(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))), 0'(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))), 0'(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))), 2'(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))), 0'(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))), 1'(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))), 0'(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))), 1'(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))), 0'(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))), 0'(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))), 0'(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))), 2'(2(2(1(1(1(0(0(0(2(2(x0))))))))))), 2'(2(1(1(1(0(0(0(2(2(x0)))))))))), 2'(1(1(1(0(0(0(2(2(x0))))))))), 1'(1(1(0(0(0(2(2(x0)))))))), 1'(1(0(0(0(2(2(x0))))))), 1'(0(0(0(2(2(x0)))))), 0'(0(0(2(2(x0))))), 0'(0(2(2(x0)))), 0'(2(2(x0))), 2'(2(x0)), 2'(x0))
   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(x0))))))))))))))))))))))) -> c8(0'(0(0(0(c_0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))))), 0'(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))))), 0'(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))))), 1'(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))))), 0'(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))))), 0'(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))))), 2'(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))))), 0'(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))))), 1'(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))))), 0'(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))))), 1'(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))))), 0'(0(0(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))))), 0'(0(2(2(2(1(1(1(0(0(0(2(2(x0))))))))))))), 0'(2(2(2(1(1(1(0(0(0(2(2(x0)))))))))))), 2'(2(2(1(1(1(0(0(0(2(2(x0))))))))))), 2'(2(1(1(1(0(0(0(2(2(x0)))))))))), 2'(1(1(1(0(0(0(2(2(x0))))))))), 1'(1(1(0(0(0(2(2(x0)))))))), 1'(1(0(0(0(2(2(x0))))))), 1'(0(0(0(2(2(x0)))))), 0'(0(0(2(2(x0))))), 0'(0(2(2(x0)))), 0'(2(2(x0))), 2'(2(x0)), 2'(x0))
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   0'(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> c8(0'(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))), 0'(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))))), 2'(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))), 1'(0(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))), 0'(2(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))), 2'(2(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))), 2'(2(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))), 2'(1(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))), 1'(1(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))), 1'(1(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))), 0'(0(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))))), 0'(0(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))), 0'(2(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))), 2'(2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))), 2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))))
Tuples:
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   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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, 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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c9(1'(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))))))))), 0'(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))), 1'(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))))))), 1'(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))), 2'(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))))), 1'(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))), 0'(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))))), 1'(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))), 0'(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))))), 0'(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))), 2'(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))))), 0'(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))), 0'(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))))), 0'(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))), 1'(0(0(1(0(2(0(0(0(2(1(1(2(z0))))))))))))), 0'(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))), 0'(1(0(2(0(0(0(2(1(1(2(z0))))))))))), 1'(0(2(0(0(0(2(1(1(2(z0)))))))))), 0'(2(0(0(0(2(1(1(2(z0))))))))), 2'(0(0(0(2(1(1(2(z0)))))))), 0'(0(0(2(1(1(2(z0))))))), 0'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0)) by 
   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x0))))))))))))))))))))))) -> c9(1'(c_0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))))))), 0'(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))))))), 1'(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))))), 1'(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))))), 2'(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))), 1'(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))), 0'(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))), 1'(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))), 0'(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))), 0'(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))), 2'(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))), 0'(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))), 0'(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))), 0'(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))), 1'(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))), 0'(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))), 0'(1(0(2(0(0(0(2(1(1(2(x0))))))))))), 1'(0(2(0(0(0(2(1(1(2(x0)))))))))), 0'(2(0(0(0(2(1(1(2(x0))))))))), 2'(0(0(0(2(1(1(2(x0)))))))), 0'(0(0(2(1(1(2(x0))))))), 0'(0(2(1(1(2(x0)))))), 0'(2(1(1(2(x0))))), 2'(1(1(2(x0)))), 1'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x0))))))))))))))))))))))) -> c9(1'(0(c_1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))))))), 0'(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))))))), 1'(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))))), 1'(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))))), 2'(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))), 1'(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))), 0'(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))), 1'(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))), 0'(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))), 0'(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))), 2'(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))), 0'(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))), 0'(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))), 0'(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))), 1'(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))), 0'(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))), 0'(1(0(2(0(0(0(2(1(1(2(x0))))))))))), 1'(0(2(0(0(0(2(1(1(2(x0)))))))))), 0'(2(0(0(0(2(1(1(2(x0))))))))), 2'(0(0(0(2(1(1(2(x0)))))))), 0'(0(0(2(1(1(2(x0))))))), 0'(0(2(1(1(2(x0)))))), 0'(2(1(1(2(x0))))), 2'(1(1(2(x0)))), 1'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x0))))))))))))))))))))))) -> c9(1'(0(1(c_1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))))))), 0'(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))))))), 1'(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))))), 1'(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))))), 2'(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))), 1'(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))), 0'(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))), 1'(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))), 0'(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))), 0'(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))), 2'(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))), 0'(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))), 0'(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))), 0'(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))), 1'(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))), 0'(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))), 0'(1(0(2(0(0(0(2(1(1(2(x0))))))))))), 1'(0(2(0(0(0(2(1(1(2(x0)))))))))), 0'(2(0(0(0(2(1(1(2(x0))))))))), 2'(0(0(0(2(1(1(2(x0)))))))), 0'(0(0(2(1(1(2(x0))))))), 0'(0(2(1(1(2(x0)))))), 0'(2(1(1(2(x0))))), 2'(1(1(2(x0)))), 1'(1(2(x0))), 1'(2(x0)), 2'(x0))
   0'(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(x0))))))))))))))))))))))) -> c9(1'(0(1(1(c_2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))))))), 0'(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))))))), 1'(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))))), 1'(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))))), 2'(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))))), 1'(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))))), 0'(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))))), 1'(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))))), 0'(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))))), 0'(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))))), 2'(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))))), 0'(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))))), 0'(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))))), 0'(1(0(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))))), 1'(0(0(1(0(2(0(0(0(2(1(1(2(x0))))))))))))), 0'(0(1(0(2(0(0(0(2(1(1(2(x0)))))))))))), 0'(1(0(2(0(0(0(2(1(1(2(x0))))))))))), 1'(0(2(0(0(0(2(1(1(2(x0)))))))))), 0'(2(0(0(0(2(1(1(2(x0))))))))), 2'(0(0(0(2(1(1(2(x0)))))))), 0'(0(0(2(1(1(2(x0))))))), 0'(0(2(1(1(2(x0)))))), 0'(2(1(1(2(x0))))), 2'(1(1(2(x0)))), 1'(1(2(x0))), 1'(2(x0)), 2'(x0))
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----------------------------------------

(60)
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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
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   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))))
Tuples:
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   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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)))
   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x0))))))))))))))))))))))) -> c7(1'(c_0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(x0))))))))))), 0'(2(0(1(1(0(1(0(1(0(x0)))))))))), 2'(0(1(1(0(1(0(1(0(x0))))))))), 0'(1(1(0(1(0(1(0(x0)))))))), 1'(1(0(1(0(1(0(x0))))))), 1'(0(1(0(1(0(x0)))))), 0'(1(0(1(0(x0))))), 1'(0(1(0(x0)))), 0'(1(0(x0))), 1'(0(x0)), 0'(x0))
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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:   c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27, c9_27


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

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

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

(62)
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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))))
Tuples:
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   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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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   0'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(x0))))))))))))))))))))))) -> c7(1'(0(c_0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))))))))), 0'(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))))))), 1'(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))))))), 0'(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))))), 0'(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))))), 2'(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))))), 2'(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))))), 2'(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))))), 1'(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))))), 1'(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))))), 2'(2(1(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))))), 2'(1(1(0(2(0(1(1(0(1(0(1(0(x0))))))))))))), 1'(1(0(2(0(1(1(0(1(0(1(0(x0)))))))))))), 1'(0(2(0(1(1(0(1(0(1(0(x0))))))))))), 0'(2(0(1(1(0(1(0(1(0(x0)))))))))), 2'(0(1(1(0(1(0(1(0(x0))))))))), 0'(1(1(0(1(0(1(0(x0)))))))), 1'(1(0(1(0(1(0(x0))))))), 1'(0(1(0(1(0(x0)))))), 0'(1(0(1(0(x0))))), 1'(0(1(0(x0)))), 0'(1(0(x0))), 1'(0(x0)), 0'(x0))
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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:   c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27


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

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c11(1'(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))), 0'(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))))), 0'(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))), 1'(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))))), 0'(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))), 0'(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))))), 0'(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))), 0'(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))))), 2'(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))), 1'(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))))), 0'(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))))), 0'(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))))), 1'(2(2(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))))), 2'(2(0(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))))), 2'(0(1(0(2(1(1(0(0(0(1(0(1(z0))))))))))))), 0'(1(0(2(1(1(0(0(0(1(0(1(z0)))))))))))), 1'(0(2(1(1(0(0(0(1(0(1(z0))))))))))), 0'(2(1(1(0(0(0(1(0(1(z0)))))))))), 2'(1(1(0(0(0(1(0(1(z0))))))))), 1'(1(0(0(0(1(0(1(z0)))))))), 1'(0(0(0(1(0(1(z0))))))), 0'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) by 
   0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x0))))))))))))))))))))))) -> c11(1'(c_0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))))))), 0'(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))))))), 0'(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))))), 1'(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))))), 0'(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))), 0'(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))), 0'(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))), 0'(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))), 2'(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))), 1'(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))), 0'(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))), 0'(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))), 1'(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))), 2'(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))), 2'(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))), 0'(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))), 1'(0(2(1(1(0(0(0(1(0(1(x0))))))))))), 0'(2(1(1(0(0(0(1(0(1(x0)))))))))), 2'(1(1(0(0(0(1(0(1(x0))))))))), 1'(1(0(0(0(1(0(1(x0)))))))), 1'(0(0(0(1(0(1(x0))))))), 0'(0(0(1(0(1(x0)))))), 0'(0(1(0(1(x0))))), 0'(1(0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x0))))))))))))))))))))))) -> c11(1'(0(c_0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))))))), 0'(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))))))), 0'(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))))), 1'(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))))), 0'(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))), 0'(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))), 0'(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))), 0'(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))), 2'(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))), 1'(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))), 0'(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))), 0'(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))), 1'(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))), 2'(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))), 2'(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))), 0'(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))), 1'(0(2(1(1(0(0(0(1(0(1(x0))))))))))), 0'(2(1(1(0(0(0(1(0(1(x0)))))))))), 2'(1(1(0(0(0(1(0(1(x0))))))))), 1'(1(0(0(0(1(0(1(x0)))))))), 1'(0(0(0(1(0(1(x0))))))), 0'(0(0(1(0(1(x0)))))), 0'(0(1(0(1(x0))))), 0'(1(0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x0))))))))))))))))))))))) -> c11(1'(0(0(c_1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))))))), 0'(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))))))), 0'(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))))), 1'(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))))), 0'(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))), 0'(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))), 0'(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))), 0'(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))), 2'(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))), 1'(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))), 0'(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))), 0'(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))), 1'(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))), 2'(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))), 2'(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))), 0'(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))), 1'(0(2(1(1(0(0(0(1(0(1(x0))))))))))), 0'(2(1(1(0(0(0(1(0(1(x0)))))))))), 2'(1(1(0(0(0(1(0(1(x0))))))))), 1'(1(0(0(0(1(0(1(x0)))))))), 1'(0(0(0(1(0(1(x0))))))), 0'(0(0(1(0(1(x0)))))), 0'(0(1(0(1(x0))))), 0'(1(0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   0'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(x0))))))))))))))))))))))) -> c11(1'(0(0(1(c_0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))))))), 0'(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))))))), 0'(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))))), 1'(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))))), 0'(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))))), 0'(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))))), 0'(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))))), 0'(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))))), 2'(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))))), 1'(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))))), 0'(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))))), 0'(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))))), 1'(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))))), 2'(2(0(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))))), 2'(0(1(0(2(1(1(0(0(0(1(0(1(x0))))))))))))), 0'(1(0(2(1(1(0(0(0(1(0(1(x0)))))))))))), 1'(0(2(1(1(0(0(0(1(0(1(x0))))))))))), 0'(2(1(1(0(0(0(1(0(1(x0)))))))))), 2'(1(1(0(0(0(1(0(1(x0))))))))), 1'(1(0(0(0(1(0(1(x0)))))))), 1'(0(0(0(1(0(1(x0))))))), 0'(0(0(1(0(1(x0)))))), 0'(0(1(0(1(x0))))), 0'(1(0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
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----------------------------------------

(64)
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_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(z0)))))))))))))))))))))))))))
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   0(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))) -> 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(z0)))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(z0)))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(z0)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(z0))))))))))))))))))))))) -> 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(z0)))))))))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(z0)))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(z0)))))))))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))))
Tuples:
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   2'(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))) -> c41(0'(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))))), 2'(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))))), 2'(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))))), 2'(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))))), 2'(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))))), 2'(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))))), 2'(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))))), 0'(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))))), 1'(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))))), 2'(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))))), 1'(0(1(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))))), 0'(1(0(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))))), 1'(0(0(1(0(1(0(2(1(0(0(2(0(z0))))))))))))), 0'(0(1(0(1(0(2(1(0(0(2(0(z0)))))))))))), 0'(1(0(1(0(2(1(0(0(2(0(z0))))))))))), 1'(0(1(0(2(1(0(0(2(0(z0)))))))))), 0'(1(0(2(1(0(0(2(0(z0))))))))), 1'(0(2(1(0(0(2(0(z0)))))))), 0'(2(1(0(0(2(0(z0))))))), 2'(1(0(0(2(0(z0)))))), 1'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c42(2'(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))))), 1'(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))))), 0'(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))))), 2'(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))))), 0'(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))))), 1'(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))))), 2'(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))))), 0'(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))))), 0'(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))))), 2'(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))))), 0'(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))))), 1'(0(0(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))))), 0'(0(0(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))))), 0'(0(2(0(2(0(2(0(1(0(0(0(0(z0))))))))))))), 0'(2(0(2(0(2(0(1(0(0(0(0(z0)))))))))))), 2'(0(2(0(2(0(1(0(0(0(0(z0))))))))))), 0'(2(0(2(0(1(0(0(0(0(z0)))))))))), 2'(0(2(0(1(0(0(0(0(z0))))))))), 0'(2(0(1(0(0(0(0(z0)))))))), 2'(0(1(0(0(0(0(z0))))))), 0'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   2'(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c43(0'(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 0'(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 0'(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))))), 1'(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))))), 0'(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))))), 0'(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))))), 1'(1(0(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))))), 1'(0(0(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))))), 0'(0(0(1(0(0(0(0(1(1(0(0(2(z0))))))))))))), 0'(0(1(0(0(0(0(1(1(0(0(2(z0)))))))))))), 0'(1(0(0(0(0(1(1(0(0(2(z0))))))))))), 1'(0(0(0(0(1(1(0(0(2(z0)))))))))), 0'(0(0(0(1(1(0(0(2(z0))))))))), 0'(0(0(1(1(0(0(2(z0)))))))), 0'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c44(0'(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))))), 0'(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))))), 2'(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))))), 0'(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))))), 1'(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))))), 0'(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))))), 0'(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))))), 1'(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))))), 1'(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))))), 1'(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))))), 0'(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))))), 0'(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))))), 2'(1(0(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))))), 1'(0(0(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))))), 0'(0(0(0(1(0(2(2(0(2(0(1(0(z0))))))))))))), 0'(0(0(1(0(2(2(0(2(0(1(0(z0)))))))))))), 0'(0(1(0(2(2(0(2(0(1(0(z0))))))))))), 0'(1(0(2(2(0(2(0(1(0(z0)))))))))), 1'(0(2(2(0(2(0(1(0(z0))))))))), 0'(2(2(0(2(0(1(0(z0)))))))), 2'(2(0(2(0(1(0(z0))))))), 2'(0(2(0(1(0(z0)))))), 0'(2(0(1(0(z0))))), 2'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(z0))))))))))))))))))))))) -> c45(0'(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))))), 2'(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))))), 2'(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))))), 0'(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))))), 1'(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))))), 2'(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))))), 0'(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))))), 0'(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))))), 0'(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))))), 2'(0(2(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))))), 0'(2(2(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))))), 2'(2(0(0(0(0(0(1(0(1(0(2(1(z0))))))))))))), 2'(0(0(0(0(0(1(0(1(0(2(1(z0)))))))))))), 0'(0(0(0(0(1(0(1(0(2(1(z0))))))))))), 0'(0(0(0(1(0(1(0(2(1(z0)))))))))), 0'(0(0(1(0(1(0(2(1(z0))))))))), 0'(0(1(0(1(0(2(1(z0)))))))), 0'(1(0(1(0(2(1(z0))))))), 1'(0(1(0(2(1(z0)))))), 0'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(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:   c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_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, c36_27, c37_27, c38_27, c39_27, c40_27, c41_27, c42_27, c43_27, c44_27, c45_27, c6_1, c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27