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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The Derivational Complexity (innermost) 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), 70 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (18) CpxWeightedTrs
    (19) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 52 ms]
    (20) CpxWeightedTrs
    (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxTypedWeightedTrs
    (23) CompletionProof [UPPER BOUND(ID), 8 ms]
    (24) CpxTypedWeightedCompleteTrs
        (25) NarrowingProof [BOTH BOUNDS(ID, ID), 1768 ms]
        (26) CpxTypedWeightedCompleteTrs
        (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (28) CpxRNTS
        (29) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (30) CpxRNTS
    (31) CompletionProof [UPPER BOUND(ID), 2 ms]
    (32) CpxTypedWeightedCompleteTrs
        (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 37 ms]
        (34) CpxRNTS
(35) CpxTrsToCdtProof [UPPER BOUND(ID), 19.2 s]
(36) CdtProblem
    (37) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (38) CdtProblem
    (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 552 ms]
    (40) CdtProblem
    (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (42) CdtProblem
    (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (44) CdtProblem
    (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 71.4 s]
    (46) CdtProblem
    (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19.0 s]
    (48) CdtProblem


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

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


The TRS R consists of the following rules:

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

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

(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_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

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

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

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

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

(4)
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(1(0(1(0(x1))))) -> 0(1(1(0(0(x1)))))
   2(0(2(2(2(2(1(x1))))))) -> 0(2(0(0(0(0(2(1(x1))))))))
   2(0(1(0(1(0(1(2(x1)))))))) -> 0(1(1(2(1(0(0(2(x1))))))))
   1(0(1(1(1(0(1(2(2(x1))))))))) -> 1(0(2(1(2(0(0(0(2(0(x1))))))))))
   1(2(0(1(1(0(2(0(1(2(x1)))))))))) -> 2(0(2(0(0(1(1(1(1(2(x1))))))))))
   0(1(0(1(2(1(0(0(2(2(2(x1))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(x1)))))))))))))))
   2(1(2(2(0(2(1(1(0(1(1(2(x1)))))))))))) -> 0(2(1(1(2(2(0(0(0(0(2(2(0(0(2(0(0(x1)))))))))))))))))
   1(0(0(1(0(1(1(0(2(0(2(1(0(1(x1)))))))))))))) -> 1(0(2(1(2(0(0(0(2(0(2(1(0(1(1(x1)))))))))))))))
   1(2(1(0(1(1(0(2(1(2(2(0(1(2(x1)))))))))))))) -> 0(1(1(1(1(2(0(1(1(0(2(0(0(2(2(x1)))))))))))))))
   1(2(2(1(0(1(0(2(1(1(1(2(1(1(0(1(x1)))))))))))))))) -> 2(1(0(0(2(0(0(0(2(0(1(1(0(2(2(2(0(0(1(x1)))))))))))))))))))
   1(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(x1))))))))))))))))))))) -> 1(1(1(0(2(1(2(2(0(2(0(1(0(0(0(1(2(2(0(0(0(0(x1))))))))))))))))))))))
   2(0(1(0(2(0(2(1(0(2(0(2(0(1(2(0(1(2(0(2(1(0(x1)))))))))))))))))))))) -> 0(0(0(2(2(2(2(0(0(0(0(2(2(1(2(2(0(0(2(1(0(0(2(0(x1))))))))))))))))))))))))
   1(2(0(2(0(2(2(2(2(1(2(1(0(2(2(0(2(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 1(1(1(2(2(2(0(2(1(2(0(0(2(2(0(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))))))
   2(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))))) -> 2(2(2(1(0(2(1(2(1(1(2(0(0(2(1(0(0(2(2(1(0(2(1(x1)))))))))))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(x1)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(x1))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(x1))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(x1)))))))))))))))))))))))))))
   0(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(x1))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(x1)))))))))))))))))))))))))))))
   1(0(1(2(1(2(2(2(1(1(1(2(2(2(0(1(1(0(1(2(1(1(1(0(0(x1))))))))))))))))))))))))) -> 2(0(0(0(0(1(0(2(2(2(2(0(2(0(1(0(2(2(0(1(0(1(1(1(1(1(0(x1)))))))))))))))))))))))))))
   2(0(0(2(2(2(2(1(1(1(2(2(2(0(1(1(0(0(2(1(1(0(0(1(0(x1))))))))))))))))))))))))) -> 2(0(1(0(0(2(2(2(1(0(0(0(0(0(2(1(0(1(1(0(2(2(2(0(0(0(x1))))))))))))))))))))))))))
   1(1(2(2(0(1(0(2(1(2(1(2(0(1(2(1(0(0(0(0(0(0(0(1(2(1(1(x1))))))))))))))))))))))))))) -> 0(2(1(2(0(0(2(0(2(0(2(1(1(1(0(2(2(0(2(0(0(0(2(0(1(1(2(1(0(1(1(x1)))))))))))))))))))))))))))))))
   2(0(1(0(2(0(2(2(1(2(2(0(1(0(0(0(2(1(2(2(0(0(1(0(2(1(0(x1))))))))))))))))))))))))))) -> 0(2(1(0(0(0(2(2(0(0(1(1(1(1(0(2(0(0(2(2(0(2(1(2(2(2(0(x1)))))))))))))))))))))))))))
   0(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(x1)))))))))))))))))))))))))))) -> 0(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(x1)))))))))))))))))))))))))))))
   1(0(1(2(1(0(2(1(1(1(1(0(1(1(1(2(1(0(2(2(1(2(2(0(2(2(0(1(x1)))))))))))))))))))))))))))) -> 2(1(2(0(2(1(2(0(2(0(1(2(1(2(0(1(1(0(0(1(0(2(0(0(0(0(0(2(2(1(2(1(x1))))))))))))))))))))))))))))))))
   1(1(0(1(1(0(1(0(1(2(1(1(0(1(2(1(0(0(2(2(0(1(2(2(2(2(1(0(x1)))))))))))))))))))))))))))) -> 0(2(0(0(0(2(0(0(2(0(2(0(0(0(2(1(1(2(1(1(2(0(0(2(1(1(0(2(0(1(2(x1)))))))))))))))))))))))))))))))
   1(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(x1)))))))))))))))))))))))))))) -> 0(1(1(0(2(2(2(2(2(2(0(1(1(0(2(0(2(0(1(1(0(1(1(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))
   2(0(0(1(0(1(0(0(1(2(2(2(0(1(0(2(2(2(1(0(0(0(1(1(2(2(0(2(x1)))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(0(2(2(2(1(1(2(0(2(0(0(1(0(1(0(1(2(2(1(0(2(x1))))))))))))))))))))))))))))
   0(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(x1))))))))))))))))))))))))))))))))))
   0(2(1(0(2(0(0(2(0(2(2(1(1(2(2(1(0(0(2(0(1(0(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))))) -> 2(2(2(0(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(x1))))))))))))))))))))))))))))))
   1(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(x1))))))))))))))))))))))))))))) -> 0(1(2(0(2(2(0(0(0(2(2(0(2(2(2(0(0(0(2(1(2(1(2(0(1(1(0(0(0(2(2(1(x1))))))))))))))))))))))))))))))))
   1(2(1(1(1(0(0(0(0(0(2(2(0(0(1(0(2(0(0(2(1(0(2(0(1(1(0(1(1(2(x1)))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(0(0(2(2(0(0(0(2(2(1(0(2(0(2(2(1(1(2(2(1(2(1(1(1(2(2(x1))))))))))))))))))))))))))))))))
   2(1(2(1(2(1(2(0(1(2(2(1(0(1(1(2(0(1(1(2(1(2(0(2(1(1(2(2(2(2(x1)))))))))))))))))))))))))))))) -> 0(1(2(2(2(1(2(1(2(2(0(1(2(0(0(1(0(0(0(0(0(0(2(0(0(2(1(2(2(0(0(2(0(x1)))))))))))))))))))))))))))))))))
   1(1(2(2(1(1(1(1(0(0(2(2(2(2(1(1(2(0(2(2(2(1(0(0(0(1(0(1(1(2(2(x1))))))))))))))))))))))))))))))) -> 1(2(0(1(2(2(1(1(0(1(2(2(1(1(0(2(0(0(0(1(1(1(1(2(0(2(0(0(0(0(1(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))
   0(2(1(0(1(2(2(2(2(1(2(0(0(0(1(1(1(2(0(2(1(1(1(2(1(1(0(2(2(2(1(2(x1)))))))))))))))))))))))))))))))) -> 2(2(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(x1)))))))))))))))))))))))))))))))))
   1(1(2(0(2(1(0(1(0(1(0(2(2(2(2(0(1(1(0(2(2(1(2(1(1(2(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))) -> 0(1(2(0(2(0(0(1(0(0(2(0(2(0(0(2(0(0(2(0(1(1(1(2(0(0(1(0(2(2(2(1(2(0(2(1(x1))))))))))))))))))))))))))))))))))))
   2(2(0(2(1(0(1(0(1(2(2(0(1(1(1(0(2(2(2(1(2(1(0(2(2(2(2(1(0(0(0(2(x1)))))))))))))))))))))))))))))))) -> 0(0(2(1(2(2(0(2(0(2(0(1(1(0(1(2(0(1(1(2(0(0(2(2(1(0(1(0(2(2(0(0(2(2(x1))))))))))))))))))))))))))))))))))
   0(0(2(1(2(0(2(2(0(2(2(2(1(2(2(0(0(2(1(2(1(2(1(2(2(0(2(2(0(2(2(1(0(x1))))))))))))))))))))))))))))))))) -> 0(2(0(0(2(0(1(2(2(0(2(2(0(0(1(2(0(2(0(2(2(0(0(2(0(0(0(0(1(1(2(0(2(1(1(1(2(1(0(x1)))))))))))))))))))))))))))))))))))))))
   1(0(1(1(0(0(0(0(0(0(1(2(0(2(0(0(0(1(1(2(2(2(1(0(0(1(2(0(2(1(0(1(1(2(x1)))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(2(0(1(1(2(2(2(1(2(1(1(1(0(2(0(1(0(2(0(0(0(2(0(2(0(2(0(2(x1)))))))))))))))))))))))))))))))))))
   2(2(2(2(1(2(2(2(2(2(1(1(1(0(1(0(2(0(1(0(0(1(2(2(0(1(2(2(0(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(2(2(0(2(2(0(0(1(2(0(2(0(0(0(1(2(0(1(1(2(1(2(0(0(0(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))
   0(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(x1))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))))))))))))
   1(0(1(0(0(0(0(2(2(0(2(2(1(1(2(1(2(2(2(2(1(1(2(0(1(0(1(0(1(0(2(1(2(0(2(x1))))))))))))))))))))))))))))))))))) -> 2(2(1(0(0(1(1(1(2(0(0(0(0(2(1(2(2(0(2(1(1(1(0(2(2(1(2(0(0(0(0(0(2(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))
   1(2(0(0(0(0(2(1(0(0(2(1(1(0(2(2(2(1(2(2(0(2(0(0(2(1(1(2(2(1(0(0(2(0(1(2(x1)))))))))))))))))))))))))))))))))))) -> 0(2(2(2(0(0(2(1(1(2(2(1(1(0(0(2(2(1(1(2(1(2(0(0(0(0(1(1(2(0(0(0(2(2(0(2(x1))))))))))))))))))))))))))))))))))))
   2(1(0(0(2(1(2(2(1(2(1(0(2(2(0(2(1(2(2(2(0(2(2(0(2(0(0(0(2(1(0(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))) -> 2(1(1(0(2(2(2(2(0(2(1(0(0(1(1(2(1(2(2(2(2(0(0(0(2(0(2(0(2(0(0(2(1(0(2(2(x1))))))))))))))))))))))))))))))))))))
   0(1(0(2(0(1(0(2(1(0(0(1(1(2(1(1(1(2(2(1(0(0(1(0(0(0(1(0(1(1(0(0(2(2(1(0(2(x1))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(0(2(0(2(1(2(0(2(0(0(0(0(0(0(2(2(0(2(0(2(1(2(2(1(1(0(2(1(2(2(2(0(2(1(2(x1)))))))))))))))))))))))))))))))))))))))
   0(2(0(1(2(1(1(2(0(1(1(0(0(1(1(0(2(1(0(0(0(0(2(2(2(2(0(1(1(1(1(2(1(0(2(0(2(x1))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(2(0(0(2(2(2(0(0(0(1(2(0(0(2(0(0(0(0(0(0(1(2(2(1(2(1(0(1(2(1(2(0(2(2(x1))))))))))))))))))))))))))))))))))))))
   2(2(2(2(2(0(1(0(2(1(2(2(0(1(2(2(2(0(1(0(0(1(0(1(0(0(0(0(2(1(2(2(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(1(1(1(0(2(0(0(1(2(0(2(2(1(2(2(1(0(2(0(0(1(2(0(1(2(1(2(0(1(2(0(0(2(x1)))))))))))))))))))))))))))))))))))))))
   0(1(0(0(0(2(2(0(2(1(2(1(2(1(2(2(1(1(0(1(1(2(0(2(1(2(2(2(0(1(2(1(2(0(1(0(2(2(1(x1))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(1(2(2(1(0(2(2(0(0(0(2(2(2(0(2(1(1(1(1(2(0(0(0(0(0(0(2(1(1(0(2(2(2(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))
   0(1(0(2(2(1(2(0(2(0(1(0(1(2(2(0(2(0(1(1(1(2(0(2(1(2(2(1(2(2(0(1(2(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(1(1(2(1(2(2(0(2(1(1(0(0(1(2(1(1(0(0(2(1(2(2(0(2(1(1(1(1(2(2(0(2(0(1(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))))))
   0(2(0(2(0(1(1(0(2(1(2(1(0(0(2(1(1(2(1(0(1(1(0(1(1(0(0(0(2(1(0(0(2(1(2(1(2(2(1(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(2(0(0(1(2(0(0(0(0(2(2(2(2(0(2(2(2(0(2(2(2(2(1(0(2(2(1(2(1(1(2(1(1(0(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))
   2(0(2(1(1(0(2(2(0(1(1(1(2(1(1(2(0(2(1(2(2(1(0(0(2(1(2(0(1(1(1(2(2(1(2(1(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(2(2(0(0(0(2(2(0(0(1(0(0(0(2(0(2(1(1(0(2(0(2(0(2(1(1(0(0(1(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))
   2(1(2(1(2(2(1(2(2(0(1(2(2(1(1(0(0(2(1(1(0(0(0(0(2(1(1(0(1(0(2(2(2(2(1(2(2(2(1(0(x1)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(0(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(0(0(2(1(0(0(2(0(2(0(1(0(1(2(0(2(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(2(2(1(0(1(1(1(1(0(2(1(1(0(1(0(1(2(2(2(2(1(1(0(1(2(1(1(1(1(0(2(2(2(0(1(2(1(x1))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(2(0(0(2(2(2(0(1(2(0(0(1(1(1(2(0(2(0(0(2(0(0(0(1(1(2(1(1(2(2(0(2(1(1(0(2(0(0(0(1(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(2(0(0(1(2(2(2(1(2(0(0(1(0(0(1(2(1(1(2(1(1(1(2(0(2(1(0(0(2(2(0(1(2(2(2(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(2(2(2(2(2(1(0(0(1(0(0(1(1(1(2(1(0(1(1(1(0(1(0(0(2(2(0(1(2(0(2(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(1(0(0(0(2(0(0(1(1(0(2(1(0(2(1(0(0(0(2(2(1(1(1(0(0(2(1(2(1(0(0(0(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(2(0(0(0(1(0(2(1(1(0(2(1(1(2(0(0(1(0(0(2(1(1(0(1(0(1(1(2(2(0(0(2(2(2(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))
   2(1(2(1(0(2(2(2(0(0(1(2(1(2(2(2(0(2(1(2(2(2(1(2(2(1(2(0(0(2(0(2(1(1(0(1(2(1(2(1(2(x1))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(2(0(2(0(2(0(1(1(1(0(0(0(0(1(2(2(1(2(1(2(2(0(0(0(0(2(0(0(0(0(0(2(2(1(1(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))))
   2(1(2(2(1(2(2(2(0(0(1(0(1(1(1(0(2(2(0(0(0(2(0(2(2(1(2(1(2(2(2(1(2(0(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(2(0(1(0(0(0(0(0(1(2(0(2(1(0(0(1(2(0(2(0(0(1(1(2(0(0(0(1(0(2(0(1(0(0(2(0(0(0(2(x1))))))))))))))))))))))))))))))))))))))))))))
   0(0(1(0(1(0(1(2(0(2(0(2(2(2(1(1(1(1(0(2(2(0(1(1(1(0(2(1(2(0(2(2(1(0(1(2(0(1(1(1(2(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(2(2(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(1(0(2(1(1(0(1(1(1(2(1(0(1(0(2(2(2(1(2(0(2(1(0(0(1(2(2(1(2(1(1(2(0(0(1(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(1(2(0(2(2(1(2(1(2(2(0(0(1(2(0(2(0(0(0(0(2(1(0(1(0(0(0(0(0(2(0(2(2(2(2(1(1(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(1(1(1(1(2(2(1(1(0(2(2(2(2(1(2(1(1(1(1(2(0(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(0(2(2(1(0(0(1(0(0(0(0(0(2(2(0(0(0(2(2(1(1(2(0(0(0(0(2(0(0(1(2(2(1(2(0(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))
   0(2(0(1(0(2(0(0(2(0(1(0(2(1(2(0(1(2(0(0(0(2(1(1(1(1(2(0(1(0(2(0(2(1(1(2(2(0(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(0(1(1(0(2(0(2(0(1(2(0(0(0(2(0(0(1(1(2(1(1(0(1(1(0(2(0(0(2(0(2(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))
   0(2(2(2(2(1(0(2(2(0(1(1(0(2(2(2(2(1(2(2(0(2(1(0(0(0(2(0(0(1(0(1(1(0(0(1(0(2(2(2(2(0(2(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(2(2(2(0(2(1(1(1(0(1(0(0(2(1(1(2(2(0(2(1(0(0(2(2(1(2(2(2(2(2(0(2(0(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(1(1(0(0(0(0(1(0(1(1(2(1(0(1(2(1(0(1(2(2(2(1(2(0(1(0(0(0(2(1(1(1(2(2(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(0(2(1(0(1(1(2(1(0(1(1(2(2(1(1(2(0(1(0(2(1(2(1(0(2(2(2(1(1(1(0(0(2(0(2(0(0(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))
   0(2(1(2(2(1(1(2(0(1(2(2(1(2(0(1(0(0(1(2(1(2(0(1(1(0(1(0(2(0(1(1(1(1(2(2(0(0(2(0(2(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(1(0(0(2(0(0(2(2(0(2(1(0(1(2(1(0(1(2(2(0(0(1(0(1(0(1(1(0(1(2(2(2(2(2(0(0(2(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(2(2(1(0(2(1(1(2(0(1(0(0(1(2(0(0(0(1(0(1(2(1(1(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(1(2(1(2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(0(0(1(0(2(2(0(0(0(0(0(2(2(0(1(2(2(1(1(1(1(0(1(0(0(1(2(2(0(1(1(2(0(1(1(0(0(0(2(0(0(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(2(1(1(1(1(0(2(0(1(1(0(1(1(1(1(0(0(2(2(0(2(2(2(0(1(2(1(2(1(0(0(0(0(2(0(2(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(2(2(2(0(0(1(2(2(0(1(1(1(2(2(0(2(0(1(0(2(0(2(2(2(2(0(1(0(0(2(2(2(0(0(2(1(0(2(0(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))
   2(0(0(1(0(1(0(0(0(0(2(2(2(2(0(1(0(0(0(1(2(1(1(2(2(1(0(1(1(0(1(2(1(1(0(1(1(2(1(1(0(1(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(2(0(1(0(0(2(2(1(0(0(1(1(0(2(2(0(1(1(1(2(1(0(1(1(0(2(2(1(1(2(1(1(1(1(1(0(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))
   2(1(2(1(0(2(0(1(1(1(1(2(2(0(2(2(1(0(0(1(2(1(1(0(0(2(1(1(0(1(2(2(2(0(1(0(0(1(1(2(0(1(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(2(2(2(0(2(0(2(1(1(2(0(1(1(2(1(2(0(2(0(0(2(0(2(2(2(2(0(2(1(2(2(2(2(0(1(1(2(1(0(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(1(0(1(2(2(1(0(0(0(2(1(2(2(2(2(2(2(1(1(2(1(1(0(1(2(2(0(2(0(1(2(0(1(1(2(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(0(1(0(2(0(1(0(2(2(1(2(1(0(2(2(0(0(1(0(0(2(1(0(1(0(2(1(2(2(1(0(1(1(0(1(2(0(2(1(2(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(1(2(0(0(2(0(2(0(2(0(2(2(1(0(1(2(1(2(1(1(2(1(0(1(2(1(0(0(0(0(0(1(2(1(0(0(0(0(0(2(2(0(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(0(2(1(2(0(0(2(0(1(2(2(0(1(2(0(1(0(1(1(0(0(2(0(0(0(0(0(1(2(1(1(0(0(1(0(0(1(2(1(0(1(0(0(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(1(0(2(1(0(2(2(0(0(2(2(1(1(2(2(0(0(2(1(0(1(1(1(0(2(2(0(1(1(2(1(1(0(1(1(2(0(1(0(2(1(2(2(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(0(2(2(0(0(1(0(0(2(2(1(1(2(2(1(1(1(0(0(1(1(1(0(2(2(0(1(2(2(2(2(1(1(0(1(1(0(0(2(2(1(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(1(0(0(1(0(0(2(2(2(0(0(1(2(1(1(2(0(0(0(0(2(1(0(2(0(2(2(0(2(2(2(2(0(0(2(0(1(0(1(0(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(1(0(0(0(2(0(1(1(1(1(2(0(1(2(1(2(1(0(2(2(2(1(2(1(1(2(0(2(0(1(1(1(2(0(0(2(0(1(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   2(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(0(1(1(2(0(0(0(0(0(0(2(0(2(2(2(1(1(0(1(2(1(0(1(0(0(0(2(1(1(2(0(2(2(2(0(1(2(0(2(2(0(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

(8)
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(1(0(1(0(x1))))) -> 0(1(1(0(0(x1)))))
   2(0(2(2(2(2(1(x1))))))) -> 0(2(0(0(0(0(2(1(x1))))))))
   2(0(1(0(1(0(1(2(x1)))))))) -> 0(1(1(2(1(0(0(2(x1))))))))
   1(0(1(1(1(0(1(2(2(x1))))))))) -> 1(0(2(1(2(0(0(0(2(0(x1))))))))))
   1(2(0(1(1(0(2(0(1(2(x1)))))))))) -> 2(0(2(0(0(1(1(1(1(2(x1))))))))))
   0(1(0(1(2(1(0(0(2(2(2(x1))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(x1)))))))))))))))
   2(1(2(2(0(2(1(1(0(1(1(2(x1)))))))))))) -> 0(2(1(1(2(2(0(0(0(0(2(2(0(0(2(0(0(x1)))))))))))))))))
   1(0(0(1(0(1(1(0(2(0(2(1(0(1(x1)))))))))))))) -> 1(0(2(1(2(0(0(0(2(0(2(1(0(1(1(x1)))))))))))))))
   1(2(1(0(1(1(0(2(1(2(2(0(1(2(x1)))))))))))))) -> 0(1(1(1(1(2(0(1(1(0(2(0(0(2(2(x1)))))))))))))))
   1(2(2(1(0(1(0(2(1(1(1(2(1(1(0(1(x1)))))))))))))))) -> 2(1(0(0(2(0(0(0(2(0(1(1(0(2(2(2(0(0(1(x1)))))))))))))))))))
   1(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(x1))))))))))))))))))))) -> 1(1(1(0(2(1(2(2(0(2(0(1(0(0(0(1(2(2(0(0(0(0(x1))))))))))))))))))))))
   2(0(1(0(2(0(2(1(0(2(0(2(0(1(2(0(1(2(0(2(1(0(x1)))))))))))))))))))))) -> 0(0(0(2(2(2(2(0(0(0(0(2(2(1(2(2(0(0(2(1(0(0(2(0(x1))))))))))))))))))))))))
   1(2(0(2(0(2(2(2(2(1(2(1(0(2(2(0(2(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 1(1(1(2(2(2(0(2(1(2(0(0(2(2(0(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))))))
   2(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))))) -> 2(2(2(1(0(2(1(2(1(1(2(0(0(2(1(0(0(2(2(1(0(2(1(x1)))))))))))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(x1)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(x1))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(x1))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(x1)))))))))))))))))))))))))))
   0(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(x1))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(x1)))))))))))))))))))))))))))))
   1(0(1(2(1(2(2(2(1(1(1(2(2(2(0(1(1(0(1(2(1(1(1(0(0(x1))))))))))))))))))))))))) -> 2(0(0(0(0(1(0(2(2(2(2(0(2(0(1(0(2(2(0(1(0(1(1(1(1(1(0(x1)))))))))))))))))))))))))))
   2(0(0(2(2(2(2(1(1(1(2(2(2(0(1(1(0(0(2(1(1(0(0(1(0(x1))))))))))))))))))))))))) -> 2(0(1(0(0(2(2(2(1(0(0(0(0(0(2(1(0(1(1(0(2(2(2(0(0(0(x1))))))))))))))))))))))))))
   1(1(2(2(0(1(0(2(1(2(1(2(0(1(2(1(0(0(0(0(0(0(0(1(2(1(1(x1))))))))))))))))))))))))))) -> 0(2(1(2(0(0(2(0(2(0(2(1(1(1(0(2(2(0(2(0(0(0(2(0(1(1(2(1(0(1(1(x1)))))))))))))))))))))))))))))))
   2(0(1(0(2(0(2(2(1(2(2(0(1(0(0(0(2(1(2(2(0(0(1(0(2(1(0(x1))))))))))))))))))))))))))) -> 0(2(1(0(0(0(2(2(0(0(1(1(1(1(0(2(0(0(2(2(0(2(1(2(2(2(0(x1)))))))))))))))))))))))))))
   0(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(x1)))))))))))))))))))))))))))) -> 0(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(x1)))))))))))))))))))))))))))))
   1(0(1(2(1(0(2(1(1(1(1(0(1(1(1(2(1(0(2(2(1(2(2(0(2(2(0(1(x1)))))))))))))))))))))))))))) -> 2(1(2(0(2(1(2(0(2(0(1(2(1(2(0(1(1(0(0(1(0(2(0(0(0(0(0(2(2(1(2(1(x1))))))))))))))))))))))))))))))))
   1(1(0(1(1(0(1(0(1(2(1(1(0(1(2(1(0(0(2(2(0(1(2(2(2(2(1(0(x1)))))))))))))))))))))))))))) -> 0(2(0(0(0(2(0(0(2(0(2(0(0(0(2(1(1(2(1(1(2(0(0(2(1(1(0(2(0(1(2(x1)))))))))))))))))))))))))))))))
   1(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(x1)))))))))))))))))))))))))))) -> 0(1(1(0(2(2(2(2(2(2(0(1(1(0(2(0(2(0(1(1(0(1(1(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))
   2(0(0(1(0(1(0(0(1(2(2(2(0(1(0(2(2(2(1(0(0(0(1(1(2(2(0(2(x1)))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(0(2(2(2(1(1(2(0(2(0(0(1(0(1(0(1(2(2(1(0(2(x1))))))))))))))))))))))))))))
   0(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(x1))))))))))))))))))))))))))))))))))
   0(2(1(0(2(0(0(2(0(2(2(1(1(2(2(1(0(0(2(0(1(0(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))))) -> 2(2(2(0(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(x1))))))))))))))))))))))))))))))
   1(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(x1))))))))))))))))))))))))))))) -> 0(1(2(0(2(2(0(0(0(2(2(0(2(2(2(0(0(0(2(1(2(1(2(0(1(1(0(0(0(2(2(1(x1))))))))))))))))))))))))))))))))
   1(2(1(1(1(0(0(0(0(0(2(2(0(0(1(0(2(0(0(2(1(0(2(0(1(1(0(1(1(2(x1)))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(0(0(2(2(0(0(0(2(2(1(0(2(0(2(2(1(1(2(2(1(2(1(1(1(2(2(x1))))))))))))))))))))))))))))))))
   2(1(2(1(2(1(2(0(1(2(2(1(0(1(1(2(0(1(1(2(1(2(0(2(1(1(2(2(2(2(x1)))))))))))))))))))))))))))))) -> 0(1(2(2(2(1(2(1(2(2(0(1(2(0(0(1(0(0(0(0(0(0(2(0(0(2(1(2(2(0(0(2(0(x1)))))))))))))))))))))))))))))))))
   1(1(2(2(1(1(1(1(0(0(2(2(2(2(1(1(2(0(2(2(2(1(0(0(0(1(0(1(1(2(2(x1))))))))))))))))))))))))))))))) -> 1(2(0(1(2(2(1(1(0(1(2(2(1(1(0(2(0(0(0(1(1(1(1(2(0(2(0(0(0(0(1(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))
   0(2(1(0(1(2(2(2(2(1(2(0(0(0(1(1(1(2(0(2(1(1(1(2(1(1(0(2(2(2(1(2(x1)))))))))))))))))))))))))))))))) -> 2(2(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(x1)))))))))))))))))))))))))))))))))
   1(1(2(0(2(1(0(1(0(1(0(2(2(2(2(0(1(1(0(2(2(1(2(1(1(2(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))) -> 0(1(2(0(2(0(0(1(0(0(2(0(2(0(0(2(0(0(2(0(1(1(1(2(0(0(1(0(2(2(2(1(2(0(2(1(x1))))))))))))))))))))))))))))))))))))
   2(2(0(2(1(0(1(0(1(2(2(0(1(1(1(0(2(2(2(1(2(1(0(2(2(2(2(1(0(0(0(2(x1)))))))))))))))))))))))))))))))) -> 0(0(2(1(2(2(0(2(0(2(0(1(1(0(1(2(0(1(1(2(0(0(2(2(1(0(1(0(2(2(0(0(2(2(x1))))))))))))))))))))))))))))))))))
   0(0(2(1(2(0(2(2(0(2(2(2(1(2(2(0(0(2(1(2(1(2(1(2(2(0(2(2(0(2(2(1(0(x1))))))))))))))))))))))))))))))))) -> 0(2(0(0(2(0(1(2(2(0(2(2(0(0(1(2(0(2(0(2(2(0(0(2(0(0(0(0(1(1(2(0(2(1(1(1(2(1(0(x1)))))))))))))))))))))))))))))))))))))))
   1(0(1(1(0(0(0(0(0(0(1(2(0(2(0(0(0(1(1(2(2(2(1(0(0(1(2(0(2(1(0(1(1(2(x1)))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(2(0(1(1(2(2(2(1(2(1(1(1(0(2(0(1(0(2(0(0(0(2(0(2(0(2(0(2(x1)))))))))))))))))))))))))))))))))))
   2(2(2(2(1(2(2(2(2(2(1(1(1(0(1(0(2(0(1(0(0(1(2(2(0(1(2(2(0(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(2(2(0(2(2(0(0(1(2(0(2(0(0(0(1(2(0(1(1(2(1(2(0(0(0(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))
   0(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(x1))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))))))))))))
   1(0(1(0(0(0(0(2(2(0(2(2(1(1(2(1(2(2(2(2(1(1(2(0(1(0(1(0(1(0(2(1(2(0(2(x1))))))))))))))))))))))))))))))))))) -> 2(2(1(0(0(1(1(1(2(0(0(0(0(2(1(2(2(0(2(1(1(1(0(2(2(1(2(0(0(0(0(0(2(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))
   1(2(0(0(0(0(2(1(0(0(2(1(1(0(2(2(2(1(2(2(0(2(0(0(2(1(1(2(2(1(0(0(2(0(1(2(x1)))))))))))))))))))))))))))))))))))) -> 0(2(2(2(0(0(2(1(1(2(2(1(1(0(0(2(2(1(1(2(1(2(0(0(0(0(1(1(2(0(0(0(2(2(0(2(x1))))))))))))))))))))))))))))))))))))
   2(1(0(0(2(1(2(2(1(2(1(0(2(2(0(2(1(2(2(2(0(2(2(0(2(0(0(0(2(1(0(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))) -> 2(1(1(0(2(2(2(2(0(2(1(0(0(1(1(2(1(2(2(2(2(0(0(0(2(0(2(0(2(0(0(2(1(0(2(2(x1))))))))))))))))))))))))))))))))))))
   0(1(0(2(0(1(0(2(1(0(0(1(1(2(1(1(1(2(2(1(0(0(1(0(0(0(1(0(1(1(0(0(2(2(1(0(2(x1))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(0(2(0(2(1(2(0(2(0(0(0(0(0(0(2(2(0(2(0(2(1(2(2(1(1(0(2(1(2(2(2(0(2(1(2(x1)))))))))))))))))))))))))))))))))))))))
   0(2(0(1(2(1(1(2(0(1(1(0(0(1(1(0(2(1(0(0(0(0(2(2(2(2(0(1(1(1(1(2(1(0(2(0(2(x1))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(2(0(0(2(2(2(0(0(0(1(2(0(0(2(0(0(0(0(0(0(1(2(2(1(2(1(0(1(2(1(2(0(2(2(x1))))))))))))))))))))))))))))))))))))))
   2(2(2(2(2(0(1(0(2(1(2(2(0(1(2(2(2(0(1(0(0(1(0(1(0(0(0(0(2(1(2(2(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(1(1(1(0(2(0(0(1(2(0(2(2(1(2(2(1(0(2(0(0(1(2(0(1(2(1(2(0(1(2(0(0(2(x1)))))))))))))))))))))))))))))))))))))))
   0(1(0(0(0(2(2(0(2(1(2(1(2(1(2(2(1(1(0(1(1(2(0(2(1(2(2(2(0(1(2(1(2(0(1(0(2(2(1(x1))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(1(2(2(1(0(2(2(0(0(0(2(2(2(0(2(1(1(1(1(2(0(0(0(0(0(0(2(1(1(0(2(2(2(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))
   0(1(0(2(2(1(2(0(2(0(1(0(1(2(2(0(2(0(1(1(1(2(0(2(1(2(2(1(2(2(0(1(2(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(1(1(2(1(2(2(0(2(1(1(0(0(1(2(1(1(0(0(2(1(2(2(0(2(1(1(1(1(2(2(0(2(0(1(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))))))
   0(2(0(2(0(1(1(0(2(1(2(1(0(0(2(1(1(2(1(0(1(1(0(1(1(0(0(0(2(1(0(0(2(1(2(1(2(2(1(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(2(0(0(1(2(0(0(0(0(2(2(2(2(0(2(2(2(0(2(2(2(2(1(0(2(2(1(2(1(1(2(1(1(0(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))
   2(0(2(1(1(0(2(2(0(1(1(1(2(1(1(2(0(2(1(2(2(1(0(0(2(1(2(0(1(1(1(2(2(1(2(1(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(2(2(0(0(0(2(2(0(0(1(0(0(0(2(0(2(1(1(0(2(0(2(0(2(1(1(0(0(1(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))
   2(1(2(1(2(2(1(2(2(0(1(2(2(1(1(0(0(2(1(1(0(0(0(0(2(1(1(0(1(0(2(2(2(2(1(2(2(2(1(0(x1)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(0(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(0(0(2(1(0(0(2(0(2(0(1(0(1(2(0(2(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(2(2(1(0(1(1(1(1(0(2(1(1(0(1(0(1(2(2(2(2(1(1(0(1(2(1(1(1(1(0(2(2(2(0(1(2(1(x1))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(2(0(0(2(2(2(0(1(2(0(0(1(1(1(2(0(2(0(0(2(0(0(0(1(1(2(1(1(2(2(0(2(1(1(0(2(0(0(0(1(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(2(0(0(1(2(2(2(1(2(0(0(1(0(0(1(2(1(1(2(1(1(1(2(0(2(1(0(0(2(2(0(1(2(2(2(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(2(2(2(2(2(1(0(0(1(0(0(1(1(1(2(1(0(1(1(1(0(1(0(0(2(2(0(1(2(0(2(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(1(0(0(0(2(0(0(1(1(0(2(1(0(2(1(0(0(0(2(2(1(1(1(0(0(2(1(2(1(0(0(0(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(2(0(0(0(1(0(2(1(1(0(2(1(1(2(0(0(1(0(0(2(1(1(0(1(0(1(1(2(2(0(0(2(2(2(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))
   2(1(2(1(0(2(2(2(0(0(1(2(1(2(2(2(0(2(1(2(2(2(1(2(2(1(2(0(0(2(0(2(1(1(0(1(2(1(2(1(2(x1))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(2(0(2(0(2(0(1(1(1(0(0(0(0(1(2(2(1(2(1(2(2(0(0(0(0(2(0(0(0(0(0(2(2(1(1(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))))
   2(1(2(2(1(2(2(2(0(0(1(0(1(1(1(0(2(2(0(0(0(2(0(2(2(1(2(1(2(2(2(1(2(0(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(2(0(1(0(0(0(0(0(1(2(0(2(1(0(0(1(2(0(2(0(0(1(1(2(0(0(0(1(0(2(0(1(0(0(2(0(0(0(2(x1))))))))))))))))))))))))))))))))))))))))))))
   0(0(1(0(1(0(1(2(0(2(0(2(2(2(1(1(1(1(0(2(2(0(1(1(1(0(2(1(2(0(2(2(1(0(1(2(0(1(1(1(2(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(2(2(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(1(0(2(1(1(0(1(1(1(2(1(0(1(0(2(2(2(1(2(0(2(1(0(0(1(2(2(1(2(1(1(2(0(0(1(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(1(2(0(2(2(1(2(1(2(2(0(0(1(2(0(2(0(0(0(0(2(1(0(1(0(0(0(0(0(2(0(2(2(2(2(1(1(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(1(1(1(1(2(2(1(1(0(2(2(2(2(1(2(1(1(1(1(2(0(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(0(2(2(1(0(0(1(0(0(0(0(0(2(2(0(0(0(2(2(1(1(2(0(0(0(0(2(0(0(1(2(2(1(2(0(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))
   0(2(0(1(0(2(0(0(2(0(1(0(2(1(2(0(1(2(0(0(0(2(1(1(1(1(2(0(1(0(2(0(2(1(1(2(2(0(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(0(1(1(0(2(0(2(0(1(2(0(0(0(2(0(0(1(1(2(1(1(0(1(1(0(2(0(0(2(0(2(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))
   0(2(2(2(2(1(0(2(2(0(1(1(0(2(2(2(2(1(2(2(0(2(1(0(0(0(2(0(0(1(0(1(1(0(0(1(0(2(2(2(2(0(2(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(2(2(2(0(2(1(1(1(0(1(0(0(2(1(1(2(2(0(2(1(0(0(2(2(1(2(2(2(2(2(0(2(0(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(1(1(0(0(0(0(1(0(1(1(2(1(0(1(2(1(0(1(2(2(2(1(2(0(1(0(0(0(2(1(1(1(2(2(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(0(2(1(0(1(1(2(1(0(1(1(2(2(1(1(2(0(1(0(2(1(2(1(0(2(2(2(1(1(1(0(0(2(0(2(0(0(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))
   0(2(1(2(2(1(1(2(0(1(2(2(1(2(0(1(0(0(1(2(1(2(0(1(1(0(1(0(2(0(1(1(1(1(2(2(0(0(2(0(2(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(1(0(0(2(0(0(2(2(0(2(1(0(1(2(1(0(1(2(2(0(0(1(0(1(0(1(1(0(1(2(2(2(2(2(0(0(2(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(2(2(1(0(2(1(1(2(0(1(0(0(1(2(0(0(0(1(0(1(2(1(1(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(1(2(1(2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(0(0(1(0(2(2(0(0(0(0(0(2(2(0(1(2(2(1(1(1(1(0(1(0(0(1(2(2(0(1(1(2(0(1(1(0(0(0(2(0(0(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(2(1(1(1(1(0(2(0(1(1(0(1(1(1(1(0(0(2(2(0(2(2(2(0(1(2(1(2(1(0(0(0(0(2(0(2(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(2(2(2(0(0(1(2(2(0(1(1(1(2(2(0(2(0(1(0(2(0(2(2(2(2(0(1(0(0(2(2(2(0(0(2(1(0(2(0(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))
   2(0(0(1(0(1(0(0(0(0(2(2(2(2(0(1(0(0(0(1(2(1(1(2(2(1(0(1(1(0(1(2(1(1(0(1(1(2(1(1(0(1(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(2(0(1(0(0(2(2(1(0(0(1(1(0(2(2(0(1(1(1(2(1(0(1(1(0(2(2(1(1(2(1(1(1(1(1(0(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))
   2(1(2(1(0(2(0(1(1(1(1(2(2(0(2(2(1(0(0(1(2(1(1(0(0(2(1(1(0(1(2(2(2(0(1(0(0(1(1(2(0(1(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(2(2(2(0(2(0(2(1(1(2(0(1(1(2(1(2(0(2(0(0(2(0(2(2(2(2(0(2(1(2(2(2(2(0(1(1(2(1(0(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(1(0(1(2(2(1(0(0(0(2(1(2(2(2(2(2(2(1(1(2(1(1(0(1(2(2(0(2(0(1(2(0(1(1(2(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(0(1(0(2(0(1(0(2(2(1(2(1(0(2(2(0(0(1(0(0(2(1(0(1(0(2(1(2(2(1(0(1(1(0(1(2(0(2(1(2(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(1(2(0(0(2(0(2(0(2(0(2(2(1(0(1(2(1(2(1(1(2(1(0(1(2(1(0(0(0(0(0(1(2(1(0(0(0(0(0(2(2(0(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(0(2(1(2(0(0(2(0(1(2(2(0(1(2(0(1(0(1(1(0(0(2(0(0(0(0(0(1(2(1(1(0(0(1(0(0(1(2(1(0(1(0(0(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(1(0(2(1(0(2(2(0(0(2(2(1(1(2(2(0(0(2(1(0(1(1(1(0(2(2(0(1(1(2(1(1(0(1(1(2(0(1(0(2(1(2(2(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(0(2(2(0(0(1(0(0(2(2(1(1(2(2(1(1(1(0(0(1(1(1(0(2(2(0(1(2(2(2(2(1(1(0(1(1(0(0(2(2(1(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(1(0(0(1(0(0(2(2(2(0(0(1(2(1(1(2(0(0(0(0(2(1(0(2(0(2(2(0(2(2(2(2(0(0(2(0(1(0(1(0(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(1(0(0(0(2(0(1(1(1(1(2(0(1(2(1(2(1(0(2(2(2(1(2(1(1(2(0(2(0(1(1(1(2(0(0(2(0(1(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   2(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(0(1(1(2(0(0(0(0(0(0(2(0(2(2(2(1(1(0(1(2(1(0(1(0(0(0(2(1(1(2(0(2(2(2(0(1(2(0(2(2(0(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))

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

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

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

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

Types:
0 :: 0:1:2:encArg:encode_0:encode_1:encode_2 -> 0:1:2:encArg:encode_0:encode_1:encode_2
1 :: 0:1:2:encArg:encode_0:encode_1:encode_2 -> 0:1:2:encArg:encode_0:encode_1:encode_2
2 :: 0:1:2:encArg:encode_0:encode_1:encode_2 -> 0:1:2:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_2:cons_1 -> 0:1:2:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> 0:1:2:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_2:cons_1 -> 0:1:2:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_2:cons_1 -> 0:1:2:encArg:encode_0:encode_1:encode_2
hole_0:1:2:encArg:encode_0:encode_1:encode_21_3 :: 0:1:2:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_2:cons_12_3 :: cons_0:cons_2:cons_1
gen_cons_0:cons_2:cons_13_3 :: Nat -> cons_0:cons_2:cons_1

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

(11) 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

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

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

Types:
0 :: 0:1:2:encArg:encode_0:encode_1:encode_2 -> 0:1:2:encArg:encode_0:encode_1:encode_2
1 :: 0:1:2:encArg:encode_0:encode_1:encode_2 -> 0:1:2:encArg:encode_0:encode_1:encode_2
2 :: 0:1:2:encArg:encode_0:encode_1:encode_2 -> 0:1:2:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_2:cons_1 -> 0:1:2:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> 0:1:2:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_2:cons_1 -> 0:1:2:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_2:cons_1 -> 0:1:2:encArg:encode_0:encode_1:encode_2
hole_0:1:2:encArg:encode_0:encode_1:encode_21_3 :: 0:1:2:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_2:cons_12_3 :: cons_0:cons_2:cons_1
gen_cons_0:cons_2:cons_13_3 :: Nat -> cons_0:cons_2:cons_1


Generator Equations:
gen_cons_0:cons_2:cons_13_3(0) <=> hole_cons_0:cons_2:cons_12_3
gen_cons_0:cons_2:cons_13_3(+(x, 1)) <=> cons_0(gen_cons_0:cons_2:cons_13_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

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

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

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


The TRS R consists of the following rules:

   0(1(0(1(0(x1))))) -> 0(1(1(0(0(x1)))))
   2(0(2(2(2(2(1(x1))))))) -> 0(2(0(0(0(0(2(1(x1))))))))
   2(0(1(0(1(0(1(2(x1)))))))) -> 0(1(1(2(1(0(0(2(x1))))))))
   1(0(1(1(1(0(1(2(2(x1))))))))) -> 1(0(2(1(2(0(0(0(2(0(x1))))))))))
   1(2(0(1(1(0(2(0(1(2(x1)))))))))) -> 2(0(2(0(0(1(1(1(1(2(x1))))))))))
   0(1(0(1(2(1(0(0(2(2(2(x1))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(x1)))))))))))))))
   2(1(2(2(0(2(1(1(0(1(1(2(x1)))))))))))) -> 0(2(1(1(2(2(0(0(0(0(2(2(0(0(2(0(0(x1)))))))))))))))))
   1(0(0(1(0(1(1(0(2(0(2(1(0(1(x1)))))))))))))) -> 1(0(2(1(2(0(0(0(2(0(2(1(0(1(1(x1)))))))))))))))
   1(2(1(0(1(1(0(2(1(2(2(0(1(2(x1)))))))))))))) -> 0(1(1(1(1(2(0(1(1(0(2(0(0(2(2(x1)))))))))))))))
   1(2(2(1(0(1(0(2(1(1(1(2(1(1(0(1(x1)))))))))))))))) -> 2(1(0(0(2(0(0(0(2(0(1(1(0(2(2(2(0(0(1(x1)))))))))))))))))))
   1(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(x1))))))))))))))))))))) -> 1(1(1(0(2(1(2(2(0(2(0(1(0(0(0(1(2(2(0(0(0(0(x1))))))))))))))))))))))
   2(0(1(0(2(0(2(1(0(2(0(2(0(1(2(0(1(2(0(2(1(0(x1)))))))))))))))))))))) -> 0(0(0(2(2(2(2(0(0(0(0(2(2(1(2(2(0(0(2(1(0(0(2(0(x1))))))))))))))))))))))))
   1(2(0(2(0(2(2(2(2(1(2(1(0(2(2(0(2(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 1(1(1(2(2(2(0(2(1(2(0(0(2(2(0(2(0(1(0(0(1(0(2(0(x1))))))))))))))))))))))))
   2(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(x1))))))))))))))))))))))) -> 2(2(2(1(0(2(1(2(1(1(2(0(0(2(1(0(0(2(2(1(0(2(1(x1)))))))))))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(x1)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(x1))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(x1))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(x1)))))))))))))))))))))))))))
   0(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(x1))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(x1)))))))))))))))))))))))))))))
   1(0(1(2(1(2(2(2(1(1(1(2(2(2(0(1(1(0(1(2(1(1(1(0(0(x1))))))))))))))))))))))))) -> 2(0(0(0(0(1(0(2(2(2(2(0(2(0(1(0(2(2(0(1(0(1(1(1(1(1(0(x1)))))))))))))))))))))))))))
   2(0(0(2(2(2(2(1(1(1(2(2(2(0(1(1(0(0(2(1(1(0(0(1(0(x1))))))))))))))))))))))))) -> 2(0(1(0(0(2(2(2(1(0(0(0(0(0(2(1(0(1(1(0(2(2(2(0(0(0(x1))))))))))))))))))))))))))
   1(1(2(2(0(1(0(2(1(2(1(2(0(1(2(1(0(0(0(0(0(0(0(1(2(1(1(x1))))))))))))))))))))))))))) -> 0(2(1(2(0(0(2(0(2(0(2(1(1(1(0(2(2(0(2(0(0(0(2(0(1(1(2(1(0(1(1(x1)))))))))))))))))))))))))))))))
   2(0(1(0(2(0(2(2(1(2(2(0(1(0(0(0(2(1(2(2(0(0(1(0(2(1(0(x1))))))))))))))))))))))))))) -> 0(2(1(0(0(0(2(2(0(0(1(1(1(1(0(2(0(0(2(2(0(2(1(2(2(2(0(x1)))))))))))))))))))))))))))
   0(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(x1)))))))))))))))))))))))))))) -> 0(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(x1)))))))))))))))))))))))))))))
   1(0(1(2(1(0(2(1(1(1(1(0(1(1(1(2(1(0(2(2(1(2(2(0(2(2(0(1(x1)))))))))))))))))))))))))))) -> 2(1(2(0(2(1(2(0(2(0(1(2(1(2(0(1(1(0(0(1(0(2(0(0(0(0(0(2(2(1(2(1(x1))))))))))))))))))))))))))))))))
   1(1(0(1(1(0(1(0(1(2(1(1(0(1(2(1(0(0(2(2(0(1(2(2(2(2(1(0(x1)))))))))))))))))))))))))))) -> 0(2(0(0(0(2(0(0(2(0(2(0(0(0(2(1(1(2(1(1(2(0(0(2(1(1(0(2(0(1(2(x1)))))))))))))))))))))))))))))))
   1(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(x1)))))))))))))))))))))))))))) -> 0(1(1(0(2(2(2(2(2(2(0(1(1(0(2(0(2(0(1(1(0(1(1(1(1(0(0(0(0(x1)))))))))))))))))))))))))))))
   2(0(0(1(0(1(0(0(1(2(2(2(0(1(0(2(2(2(1(0(0(0(1(1(2(2(0(2(x1)))))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(0(2(2(2(1(1(2(0(2(0(0(1(0(1(0(1(2(2(1(0(2(x1))))))))))))))))))))))))))))
   0(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(x1))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(x1))))))))))))))))))))))))))))))))))
   0(2(1(0(2(0(0(2(0(2(2(1(1(2(2(1(0(0(2(0(1(0(2(2(2(0(0(2(2(x1))))))))))))))))))))))))))))) -> 2(2(2(0(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(x1))))))))))))))))))))))))))))))
   1(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(x1))))))))))))))))))))))))))))) -> 0(1(2(0(2(2(0(0(0(2(2(0(2(2(2(0(0(0(2(1(2(1(2(0(1(1(0(0(0(2(2(1(x1))))))))))))))))))))))))))))))))
   1(2(1(1(1(0(0(0(0(0(2(2(0(0(1(0(2(0(0(2(1(0(2(0(1(1(0(1(1(2(x1)))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(0(0(2(2(0(0(0(2(2(1(0(2(0(2(2(1(1(2(2(1(2(1(1(1(2(2(x1))))))))))))))))))))))))))))))))
   2(1(2(1(2(1(2(0(1(2(2(1(0(1(1(2(0(1(1(2(1(2(0(2(1(1(2(2(2(2(x1)))))))))))))))))))))))))))))) -> 0(1(2(2(2(1(2(1(2(2(0(1(2(0(0(1(0(0(0(0(0(0(2(0(0(2(1(2(2(0(0(2(0(x1)))))))))))))))))))))))))))))))))
   1(1(2(2(1(1(1(1(0(0(2(2(2(2(1(1(2(0(2(2(2(1(0(0(0(1(0(1(1(2(2(x1))))))))))))))))))))))))))))))) -> 1(2(0(1(2(2(1(1(0(1(2(2(1(1(0(2(0(0(0(1(1(1(1(2(0(2(0(0(0(0(1(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))
   0(2(1(0(1(2(2(2(2(1(2(0(0(0(1(1(1(2(0(2(1(1(1(2(1(1(0(2(2(2(1(2(x1)))))))))))))))))))))))))))))))) -> 2(2(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(x1)))))))))))))))))))))))))))))))))
   1(1(2(0(2(1(0(1(0(1(0(2(2(2(2(0(1(1(0(2(2(1(2(1(1(2(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))))) -> 0(1(2(0(2(0(0(1(0(0(2(0(2(0(0(2(0(0(2(0(1(1(1(2(0(0(1(0(2(2(2(1(2(0(2(1(x1))))))))))))))))))))))))))))))))))))
   2(2(0(2(1(0(1(0(1(2(2(0(1(1(1(0(2(2(2(1(2(1(0(2(2(2(2(1(0(0(0(2(x1)))))))))))))))))))))))))))))))) -> 0(0(2(1(2(2(0(2(0(2(0(1(1(0(1(2(0(1(1(2(0(0(2(2(1(0(1(0(2(2(0(0(2(2(x1))))))))))))))))))))))))))))))))))
   0(0(2(1(2(0(2(2(0(2(2(2(1(2(2(0(0(2(1(2(1(2(1(2(2(0(2(2(0(2(2(1(0(x1))))))))))))))))))))))))))))))))) -> 0(2(0(0(2(0(1(2(2(0(2(2(0(0(1(2(0(2(0(2(2(0(0(2(0(0(0(0(1(1(2(0(2(1(1(1(2(1(0(x1)))))))))))))))))))))))))))))))))))))))
   1(0(1(1(0(0(0(0(0(0(1(2(0(2(0(0(0(1(1(2(2(2(1(0(0(1(2(0(2(1(0(1(1(2(x1)))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(2(0(1(1(2(2(2(1(2(1(1(1(0(2(0(1(0(2(0(0(0(2(0(2(0(2(0(2(x1)))))))))))))))))))))))))))))))))))
   2(2(2(2(1(2(2(2(2(2(1(1(1(0(1(0(2(0(1(0(0(1(2(2(0(1(2(2(0(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))) -> 0(0(0(1(0(0(1(1(2(2(2(0(2(2(0(0(1(2(0(2(0(0(0(1(2(0(1(1(2(1(2(0(0(0(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))
   0(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(x1))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))))))))))))
   1(0(1(0(0(0(0(2(2(0(2(2(1(1(2(1(2(2(2(2(1(1(2(0(1(0(1(0(1(0(2(1(2(0(2(x1))))))))))))))))))))))))))))))))))) -> 2(2(1(0(0(1(1(1(2(0(0(0(0(2(1(2(2(0(2(1(1(1(0(2(2(1(2(0(0(0(0(0(2(2(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))
   1(2(0(0(0(0(2(1(0(0(2(1(1(0(2(2(2(1(2(2(0(2(0(0(2(1(1(2(2(1(0(0(2(0(1(2(x1)))))))))))))))))))))))))))))))))))) -> 0(2(2(2(0(0(2(1(1(2(2(1(1(0(0(2(2(1(1(2(1(2(0(0(0(0(1(1(2(0(0(0(2(2(0(2(x1))))))))))))))))))))))))))))))))))))
   2(1(0(0(2(1(2(2(1(2(1(0(2(2(0(2(1(2(2(2(0(2(2(0(2(0(0(0(2(1(0(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))) -> 2(1(1(0(2(2(2(2(0(2(1(0(0(1(1(2(1(2(2(2(2(0(0(0(2(0(2(0(2(0(0(2(1(0(2(2(x1))))))))))))))))))))))))))))))))))))
   0(1(0(2(0(1(0(2(1(0(0(1(1(2(1(1(1(2(2(1(0(0(1(0(0(0(1(0(1(1(0(0(2(2(1(0(2(x1))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(0(2(0(2(1(2(0(2(0(0(0(0(0(0(2(2(0(2(0(2(1(2(2(1(1(0(2(1(2(2(2(0(2(1(2(x1)))))))))))))))))))))))))))))))))))))))
   0(2(0(1(2(1(1(2(0(1(1(0(0(1(1(0(2(1(0(0(0(0(2(2(2(2(0(1(1(1(1(2(1(0(2(0(2(x1))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(2(0(0(2(2(2(0(0(0(1(2(0(0(2(0(0(0(0(0(0(1(2(2(1(2(1(0(1(2(1(2(0(2(2(x1))))))))))))))))))))))))))))))))))))))
   2(2(2(2(2(0(1(0(2(1(2(2(0(1(2(2(2(0(1(0(0(1(0(1(0(0(0(0(2(1(2(2(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(2(2(1(1(1(0(2(0(0(1(2(0(2(2(1(2(2(1(0(2(0(0(1(2(0(1(2(1(2(0(1(2(0(0(2(x1)))))))))))))))))))))))))))))))))))))))
   0(1(0(0(0(2(2(0(2(1(2(1(2(1(2(2(1(1(0(1(1(2(0(2(1(2(2(2(0(1(2(1(2(0(1(0(2(2(1(x1))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(1(2(2(1(0(2(2(0(0(0(2(2(2(0(2(1(1(1(1(2(0(0(0(0(0(0(2(1(1(0(2(2(2(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))
   0(1(0(2(2(1(2(0(2(0(1(0(1(2(2(0(2(0(1(1(1(2(0(2(1(2(2(1(2(2(0(1(2(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(1(1(2(1(2(2(0(2(1(1(0(0(1(2(1(1(0(0(2(1(2(2(0(2(1(1(1(1(2(2(0(2(0(1(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))))))
   0(2(0(2(0(1(1(0(2(1(2(1(0(0(2(1(1(2(1(0(1(1(0(1(1(0(0(0(2(1(0(0(2(1(2(1(2(2(1(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(2(0(0(1(2(0(0(0(0(2(2(2(2(0(2(2(2(0(2(2(2(2(1(0(2(2(1(2(1(1(2(1(1(0(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))
   2(0(2(1(1(0(2(2(0(1(1(1(2(1(1(2(0(2(1(2(2(1(0(0(2(1(2(0(1(1(1(2(2(1(2(1(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(0(2(0(2(2(0(0(0(2(2(0(0(1(0(0(0(2(0(2(1(1(0(2(0(2(0(2(1(1(0(0(1(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))
   2(1(2(1(2(2(1(2(2(0(1(2(2(1(1(0(0(2(1(1(0(0(0(0(2(1(1(0(1(0(2(2(2(2(1(2(2(2(1(0(x1)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(0(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(0(0(2(1(0(0(2(0(2(0(1(0(1(2(0(2(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(2(2(1(0(1(1(1(1(0(2(1(1(0(1(0(1(2(2(2(2(1(1(0(1(2(1(1(1(1(0(2(2(2(0(1(2(1(x1))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(2(0(0(2(2(2(0(1(2(0(0(1(1(1(2(0(2(0(0(2(0(0(0(1(1(2(1(1(2(2(0(2(1(1(0(2(0(0(0(1(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(2(0(0(1(2(2(2(1(2(0(0(1(0(0(1(2(1(1(2(1(1(1(2(0(2(1(0(0(2(2(0(1(2(2(2(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(2(2(2(2(2(1(0(0(1(0(0(1(1(1(2(1(0(1(1(1(0(1(0(0(2(2(0(1(2(0(2(0(0(0(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(1(0(0(0(2(0(0(1(1(0(2(1(0(2(1(0(0(0(2(2(1(1(1(0(0(2(1(2(1(0(0(0(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(2(0(0(0(1(0(2(1(1(0(2(1(1(2(0(0(1(0(0(2(1(1(0(1(0(1(1(2(2(0(0(2(2(2(2(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))
   2(1(2(1(0(2(2(2(0(0(1(2(1(2(2(2(0(2(1(2(2(2(1(2(2(1(2(0(0(2(0(2(1(1(0(1(2(1(2(1(2(x1))))))))))))))))))))))))))))))))))))))))) -> 0(1(1(0(2(2(0(2(0(2(0(1(1(1(0(0(0(0(1(2(2(1(2(1(2(2(0(0(0(0(2(0(0(0(0(0(2(2(1(1(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))))
   2(1(2(2(1(2(2(2(0(0(1(0(1(1(1(0(2(2(0(0(0(2(0(2(2(1(2(1(2(2(2(1(2(0(2(2(2(2(2(1(2(x1))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(2(0(1(0(0(0(0(0(1(2(0(2(1(0(0(1(2(0(2(0(0(1(1(2(0(0(0(1(0(2(0(1(0(0(2(0(0(0(2(x1))))))))))))))))))))))))))))))))))))))))))))
   0(0(1(0(1(0(1(2(0(2(0(2(2(2(1(1(1(1(0(2(2(0(1(1(1(0(2(1(2(0(2(2(1(0(1(2(0(1(1(1(2(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(2(2(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(1(0(2(1(1(0(1(1(1(2(1(0(1(0(2(2(2(1(2(0(2(1(0(0(1(2(2(1(2(1(1(2(0(0(1(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(1(2(0(2(2(1(2(1(2(2(0(0(1(2(0(2(0(0(0(0(2(1(0(1(0(0(0(0(0(2(0(2(2(2(2(1(1(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(1(1(1(1(2(2(1(1(0(2(2(2(2(1(2(1(1(1(1(2(0(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(0(2(2(1(0(0(1(0(0(0(0(0(2(2(0(0(0(2(2(1(1(2(0(0(0(0(2(0(0(1(2(2(1(2(0(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))
   0(2(0(1(0(2(0(0(2(0(1(0(2(1(2(0(1(2(0(0(0(2(1(1(1(1(2(0(1(0(2(0(2(1(1(2(2(0(0(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(0(1(1(0(2(0(2(0(1(2(0(0(0(2(0(0(1(1(2(1(1(0(1(1(0(2(0(0(2(0(2(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))
   0(2(2(2(2(1(0(2(2(0(1(1(0(2(2(2(2(1(2(2(0(2(1(0(0(0(2(0(0(1(0(1(1(0(0(1(0(2(2(2(2(0(2(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(2(2(2(0(2(1(1(1(0(1(0(0(2(1(1(2(2(0(2(1(0(0(2(2(1(2(2(2(2(2(0(2(0(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(1(1(0(0(0(0(1(0(1(1(2(1(0(1(2(1(0(1(2(2(2(1(2(0(1(0(0(0(2(1(1(1(2(2(1(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(0(2(1(0(1(1(2(1(0(1(1(2(2(1(1(2(0(1(0(2(1(2(1(0(2(2(2(1(1(1(0(0(2(0(2(0(0(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))
   0(2(1(2(2(1(1(2(0(1(2(2(1(2(0(1(0(0(1(2(1(2(0(1(1(0(1(0(2(0(1(1(1(1(2(2(0(0(2(0(2(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(1(0(0(2(0(0(2(2(0(2(1(0(1(2(1(0(1(2(2(0(0(1(0(1(0(1(1(0(1(2(2(2(2(2(0(0(2(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(2(2(1(0(2(1(1(2(0(1(0(0(1(2(0(0(0(1(0(1(2(1(1(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(1(2(1(2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(0(0(1(0(2(2(0(0(0(0(0(2(2(0(1(2(2(1(1(1(1(0(1(0(0(1(2(2(0(1(1(2(0(1(1(0(0(0(2(0(0(1(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(2(1(1(1(1(0(2(0(1(1(0(1(1(1(1(0(0(2(2(0(2(2(2(0(1(2(1(2(1(0(0(0(0(2(0(2(1(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(2(2(2(0(0(1(2(2(0(1(1(1(2(2(0(2(0(1(0(2(0(2(2(2(2(0(1(0(0(2(2(2(0(0(2(1(0(2(0(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))
   2(0(0(1(0(1(0(0(0(0(2(2(2(2(0(1(0(0(0(1(2(1(1(2(2(1(0(1(1(0(1(2(1(1(0(1(1(2(1(1(0(1(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(0(2(0(2(0(1(0(0(2(2(1(0(0(1(1(0(2(2(0(1(1(1(2(1(0(1(1(0(2(2(1(1(2(1(1(1(1(1(0(0(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))
   2(1(2(1(0(2(0(1(1(1(1(2(2(0(2(2(1(0(0(1(2(1(1(0(0(2(1(1(0(1(2(2(2(0(1(0(0(1(1(2(0(1(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(2(2(2(0(2(0(2(1(1(2(0(1(1(2(1(2(0(2(0(0(2(0(2(2(2(2(0(2(1(2(2(2(2(0(1(1(2(1(0(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(1(0(1(2(2(1(0(0(0(2(1(2(2(2(2(2(2(1(1(2(1(1(0(1(2(2(0(2(0(1(2(0(1(1(2(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(0(1(0(2(0(1(0(2(2(1(2(1(0(2(2(0(0(1(0(0(2(1(0(1(0(2(1(2(2(1(0(1(1(0(1(2(0(2(1(2(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(1(2(0(0(2(0(2(0(2(0(2(2(1(0(1(2(1(2(1(1(2(1(0(1(2(1(0(0(0(0(0(1(2(1(0(0(0(0(0(2(2(0(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(0(2(1(2(0(0(2(0(1(2(2(0(1(2(0(1(0(1(1(0(0(2(0(0(0(0(0(1(2(1(1(0(0(1(0(0(1(2(1(0(1(0(0(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(1(0(2(1(0(2(2(0(0(2(2(1(1(2(2(0(0(2(1(0(1(1(1(0(2(2(0(1(1(2(1(1(0(1(1(2(0(1(0(2(1(2(2(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(0(2(2(0(0(1(0(0(2(2(1(1(2(2(1(1(1(0(0(1(1(1(0(2(2(0(1(2(2(2(2(1(1(0(1(1(0(0(2(2(1(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(1(0(0(1(0(0(2(2(2(0(0(1(2(1(1(2(0(0(0(0(2(1(0(2(0(2(2(0(2(2(2(2(0(0(2(0(1(0(1(0(2(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(1(0(0(0(2(0(1(1(1(1(2(0(1(2(1(2(1(0(2(2(2(1(2(1(1(2(0(2(0(1(1(1(2(0(0(2(0(1(1(0(2(1(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   2(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(0(1(1(2(0(0(0(0(0(0(2(0(2(2(2(1(1(0(1(2(1(0(1(0(0(0(2(1(1(2(0(2(2(2(0(1(2(0(2(2(0(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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: INNERMOST
----------------------------------------

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

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


The TRS R consists of the following rules:

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

(22)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   1'(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(1'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(1'(0'(2'(0'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(0'(1'(2'(0'(2'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(x1))))))))))) -> 2'(0'(2'(2'(0'(2'(0'(2'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(0'(1'(1'(2'(0'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(1'(1'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(1'(1'(2'(0'(2'(2'(2'(0'(1'(2'(0'(2'(2'(0'(2'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(2'(2'(0'(0'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(1'(0'(1'(2'(0'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(2'(2'(2'(2'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(2'(0'(1'(2'(0'(2'(0'(0'(0'(0'(1'(0'(1'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(2'(0'(1'(2'(2'(0'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(1'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(0'(1'(0'(0'(1'(0'(0'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(0'(2'(2'(1'(2'(1'(0'(1'(2'(2'(1'(1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(2'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))) -> 0'(1'(1'(1'(1'(2'(0'(1'(1'(0'(2'(0'(0'(2'(2'(x1))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(2'(0'(1'(0'(0'(2'(2'(1'(0'(0'(1'(1'(0'(2'(2'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(2'(1'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))) -> 1'(2'(0'(1'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))) -> 1'(0'(2'(1'(2'(0'(0'(0'(2'(0'(2'(1'(0'(1'(1'(x1))))))))))))))) [1]
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   0'(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(x1))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(0'(1'(2'(2'(2'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(2'(2'(0'(2'(0'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_0(c_1(c_2(x1)))))))) -> 0'(1'(1'(2'(1'(0'(0'(2'(x1)))))))) [1]
   1'(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))) -> 2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(1'(0'(2'(2'(2'(0'(0'(1'(x1))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))) -> 0'(1'(0'(0'(2'(0'(0'(0'(2'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(2'(2'(1'(2'(1'(1'(1'(2'(2'(x1)))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(2'(0'(0'(0'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(2'(2'(0'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_0(x1))))))))))))))))))))) -> 1'(1'(1'(0'(2'(1'(2'(2'(0'(2'(0'(1'(0'(0'(0'(1'(2'(2'(0'(0'(0'(0'(x1)))))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(2'(1'(2'(1'(2'(2'(0'(2'(0'(0'(2'(1'(2'(2'(0'(2'(2'(0'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(2'(0'(1'(0'(2'(0'(1'(2'(0'(2'(2'(2'(1'(2'(2'(2'(1'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(x1)))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(2'(0'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(1'(0'(2'(2'(2'(1'(2'(0'(2'(1'(x1)))))))))))))))))))))))))))))))))))) [1]
   2'(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(1'(1'(2'(2'(2'(0'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(1'(2'(0'(1'(1'(2'(1'(2'(0'(0'(0'(0'(1'(1'(2'(1'(x1))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(2'(0'(0'(2'(2'(2'(0'(0'(0'(1'(2'(0'(0'(2'(0'(0'(0'(0'(0'(0'(1'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(0'(2'(2'(x1)))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(2'(0'(0'(2'(2'(2'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(2'(1'(1'(2'(2'(0'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(2'(1'(1'(2'(2'(1'(1'(1'(0'(0'(1'(1'(1'(0'(2'(2'(0'(1'(2'(2'(2'(2'(1'(1'(0'(1'(1'(0'(0'(2'(2'(1'(2'(2'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(x1)))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(0'(1'(0'(2'(2'(2'(1'(1'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(2'(x1)))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(x1))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(2'(2'(0'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(1'(0'(0'(0'(2'(2'(1'(x1)))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(1'(2'(0'(1'(1'(2'(2'(2'(1'(2'(1'(1'(1'(0'(2'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(2'(0'(2'(x1))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(0'(1'(2'(2'(2'(0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(2'(0'(1'(0'(0'(2'(2'(2'(0'(0'(2'(1'(0'(2'(0'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(0'(2'(1'(2'(0'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(1'(1'(0'(0'(2'(0'(0'(0'(0'(0'(1'(2'(1'(1'(0'(0'(1'(0'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(1'(1'(1'(2'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(0'(2'(2'(1'(2'(0'(0'(0'(0'(0'(2'(2'(2'(2'(0'(0'(x1)))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(2'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(1'(0'(2'(0'(2'(0'(2'(1'(1'(0'(0'(1'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(2'(2'(0'(2'(2'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(1'(1'(2'(1'(1'(0'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(0'(0'(1'(0'(2'(2'(0'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(1'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(1'(2'(2'(0'(2'(0'(1'(1'(0'(2'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(1'(2'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(2'(2'(2'(2'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(1'(2'(2'(1'(2'(2'(0'(0'(2'(1'(2'(0'(2'(2'(0'(0'(1'(0'(0'(0'(1'(2'(1'(x1))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(1'(1'(1'(2'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(1'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(1'(1'(0'(2'(1'(1'(1'(1'(1'(0'(1'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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:
1' :: c_2:c_1:c_0 -> c_2:c_1:c_0
c_0 :: c_2:c_1:c_0 -> c_2:c_1:c_0
c_1 :: c_2:c_1:c_0 -> c_2:c_1:c_0
c_2 :: c_2:c_1:c_0 -> c_2:c_1:c_0
2' :: c_2:c_1:c_0 -> c_2:c_1:c_0
0' :: c_2:c_1:c_0 -> c_2:c_1:c_0
encArg :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0
encode_1 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0
encode_2 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0

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

(23) 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

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

(24)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

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

   1'(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(1'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(1'(0'(2'(0'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(0'(1'(2'(0'(2'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))) [1]
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   0'(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(0'(0'(1'(0'(2'(2'(0'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(1'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(1'(2'(2'(0'(2'(0'(1'(1'(0'(2'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(1'(2'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(2'(2'(2'(2'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(1'(2'(2'(1'(2'(2'(0'(0'(2'(1'(2'(0'(2'(2'(0'(0'(1'(0'(0'(0'(1'(2'(1'(x1))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(1'(1'(1'(2'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(1'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(1'(1'(0'(2'(1'(1'(1'(1'(1'(0'(1'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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:
1' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_0 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_1 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_2 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
2' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
0' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
encArg :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:const
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:const
encode_1 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:const
encode_2 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:const
const :: c_2:c_1:c_0:const
const1 :: cons_0:cons_2:cons_1

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

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

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

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

   1'(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(1'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(1'(0'(2'(0'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(0'(1'(2'(0'(2'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(x1))))))))))) -> 2'(0'(2'(2'(0'(2'(0'(2'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(0'(1'(1'(2'(0'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(1'(1'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(1'(1'(2'(0'(2'(2'(2'(0'(1'(2'(0'(2'(2'(0'(2'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(2'(2'(0'(0'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(1'(0'(1'(2'(0'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(2'(2'(2'(2'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(2'(0'(1'(2'(0'(2'(0'(0'(0'(0'(1'(0'(1'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(2'(0'(1'(2'(2'(0'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(1'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(0'(1'(0'(0'(1'(0'(0'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(0'(2'(2'(1'(2'(1'(0'(1'(2'(2'(1'(1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(2'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))) -> 0'(1'(1'(1'(1'(2'(0'(1'(1'(0'(2'(0'(0'(2'(2'(x1))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(2'(0'(1'(0'(0'(2'(2'(1'(0'(0'(1'(1'(0'(2'(2'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(2'(1'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))) -> 1'(2'(0'(1'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))) -> 1'(0'(2'(1'(2'(0'(0'(0'(2'(0'(2'(1'(0'(1'(1'(x1))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(2'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(2'(0'(0'(0'(2'(0'(0'(1'(1'(2'(1'(1'(0'(1'(1'(0'(2'(0'(0'(2'(0'(2'(2'(0'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(x1)))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(0'(0'(1'(1'(2'(1'(2'(2'(2'(2'(0'(0'(0'(2'(0'(2'(0'(2'(0'(0'(2'(1'(0'(2'(2'(x1)))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(x1))))) -> 0'(1'(1'(0'(0'(x1))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_2(c_2(x1)))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(2'(1'(2'(1'(2'(2'(0'(1'(2'(0'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(1'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(0'(2'(0'(2'(1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(2'(1'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(0'(2'(1'(2'(x1))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_2(c_2(c_1(x1))))))) -> 0'(2'(0'(0'(0'(0'(2'(1'(x1)))))))) [1]
   1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(2'(1'(0'(1'(1'(2'(1'(0'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(1'(2'(1'(0'(2'(2'(2'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(1'(2'(0'(2'(1'(1'(2'(2'(1'(1'(1'(1'(1'(2'(0'(2'(1'(0'(2'(2'(2'(1'(2'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(2'(1'(1'(2'(1'(2'(2'(0'(2'(2'(0'(2'(2'(0'(0'(1'(2'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(0'(2'(0'(2'(0'(0'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(1'(1'(0'(2'(0'(1'(2'(x1))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(1'(0'(2'(0'(0'(0'(1'(0'(2'(1'(1'(0'(2'(1'(1'(2'(0'(0'(1'(0'(0'(2'(1'(1'(0'(1'(0'(1'(1'(2'(2'(0'(0'(2'(2'(2'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1]
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   0'(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(2'(0'(0'(2'(2'(2'(0'(0'(0'(1'(2'(0'(0'(2'(0'(0'(0'(0'(0'(0'(1'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(0'(2'(2'(x1)))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(2'(0'(0'(2'(2'(2'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(2'(1'(1'(2'(2'(0'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(2'(1'(1'(2'(2'(1'(1'(1'(0'(0'(1'(1'(1'(0'(2'(2'(0'(1'(2'(2'(2'(2'(1'(1'(0'(1'(1'(0'(0'(2'(2'(1'(2'(2'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_0(c_2(x1)))))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(0'(1'(0'(2'(2'(2'(1'(1'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(2'(x1)))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_1(x1))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(2'(2'(0'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(1'(0'(0'(0'(2'(2'(1'(x1)))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(1'(2'(0'(1'(1'(2'(2'(2'(1'(2'(1'(1'(1'(0'(2'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(2'(0'(2'(x1))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(0'(1'(2'(2'(2'(0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(2'(0'(1'(0'(0'(2'(2'(2'(0'(0'(2'(1'(0'(2'(0'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(0'(2'(1'(2'(0'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(1'(1'(0'(0'(2'(0'(0'(0'(0'(0'(1'(2'(1'(1'(0'(0'(1'(0'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(0'(1'(1'(1'(2'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(0'(2'(2'(1'(2'(0'(0'(0'(0'(0'(2'(2'(2'(2'(0'(0'(x1)))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(2'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(1'(0'(2'(0'(2'(0'(2'(1'(1'(0'(0'(1'(0'(2'(2'(x1))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(2'(2'(0'(2'(2'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(1'(1'(2'(1'(1'(0'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(0'(0'(1'(0'(2'(2'(0'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(1'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(1'(2'(2'(0'(2'(0'(1'(1'(0'(2'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(1'(2'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(2'(2'(2'(2'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(1'(2'(2'(1'(2'(2'(0'(0'(2'(1'(2'(0'(2'(2'(0'(0'(1'(0'(0'(0'(1'(2'(1'(x1))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(1'(1'(1'(2'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(1'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(1'(1'(0'(2'(1'(1'(1'(1'(1'(0'(1'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_2(x_1''))) -> 0'(2'(encArg(x_1''))) [0]
   encArg(cons_0(cons_1(x_11))) -> 0'(1'(encArg(x_11))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_2(cons_0(x_12))) -> 2'(0'(encArg(x_12))) [0]
   encArg(cons_2(cons_2(x_13))) -> 2'(2'(encArg(x_13))) [0]
   encArg(cons_2(cons_1(x_14))) -> 2'(1'(encArg(x_14))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encArg(cons_1(cons_0(x_15))) -> 1'(0'(encArg(x_15))) [0]
   encArg(cons_1(cons_2(x_16))) -> 1'(2'(encArg(x_16))) [0]
   encArg(cons_1(cons_1(x_17))) -> 1'(1'(encArg(x_17))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encode_0(cons_0(x_18)) -> 0'(0'(encArg(x_18))) [0]
   encode_0(cons_2(x_19)) -> 0'(2'(encArg(x_19))) [0]
   encode_0(cons_1(x_110)) -> 0'(1'(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_2(x_112)) -> 1'(2'(encArg(x_112))) [0]
   encode_1(cons_1(x_113)) -> 1'(1'(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_2(x_115)) -> 2'(2'(encArg(x_115))) [0]
   encode_2(cons_1(x_116)) -> 2'(1'(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:
1' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_0 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_1 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_2 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
2' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
0' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
encArg :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:const
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:const
encode_1 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:const
encode_2 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:const
const :: c_2:c_1:c_0:const
const1 :: cons_0:cons_2:cons_1

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

(27) 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

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

(28)
Obligation:
Complexity RNTS consisting of the following rules:

   0'(z) -{ 1 }-> 2'(2'(2'(0'(2'(0'(2'(1'(2'(2'(2'(0'(2'(2'(2'(2'(0'(2'(0'(2'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(x1))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(2'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(2'(2'(0'(2'(2'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(1'(1'(2'(1'(1'(0'(2'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(2'(0'(0'(0'(0'(1'(1'(0'(0'(1'(2'(0'(0'(2'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(1'(1'(1'(2'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(1'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(2'(0'(0'(0'(1'(2'(2'(2'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(2'(2'(0'(2'(0'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(2'(0'(0'(0'(1'(0'(0'(2'(2'(0'(0'(1'(2'(1'(2'(1'(2'(0'(0'(0'(1'(0'(0'(2'(1'(0'(x1))))))))))))))))))))))))))))) :|: z = 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))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(1'(1'(0'(0'(2'(0'(0'(2'(2'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(2'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(2'(2'(0'(2'(0'(2'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 2'(0'(2'(1'(2'(0'(0'(2'(2'(2'(0'(0'(0'(1'(2'(0'(0'(2'(0'(0'(0'(0'(0'(0'(1'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(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 + x1)))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(2'(1'(0'(2'(0'(2'(1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(2'(1'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(2'(2'(2'(0'(1'(2'(0'(2'(2'(0'(1'(1'(0'(1'(2'(1'(0'(1'(0'(1'(2'(x1)))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(1'(1'(2'(1'(0'(0'(2'(2'(2'(0'(2'(2'(0'(2'(2'(1'(2'(1'(0'(1'(x1))))))))))))))))))))))))))) :|: z = 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))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(1'(2'(0'(2'(1'(1'(2'(2'(1'(1'(1'(1'(1'(2'(0'(2'(1'(0'(2'(2'(2'(1'(2'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(2'(1'(1'(2'(2'(1'(1'(1'(0'(0'(1'(1'(1'(0'(2'(2'(0'(1'(2'(2'(2'(2'(1'(1'(0'(1'(1'(0'(0'(2'(2'(1'(2'(2'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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 }-> 2'(0'(0'(1'(0'(0'(1'(0'(2'(2'(0'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(2'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(2'(0'(0'(0'(2'(0'(0'(1'(1'(2'(1'(1'(0'(1'(1'(0'(2'(0'(0'(2'(0'(2'(2'(0'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(2'(0'(1'(2'(2'(0'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(1'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(0'(2'(0'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(0'(1'(2'(0'(2'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(2'(0'(2'(1'(2'(2'(1'(0'(2'(2'(0'(0'(0'(2'(2'(2'(0'(2'(1'(1'(1'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(0'(2'(2'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(2'(0'(2'(0'(0'(0'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(1'(1'(0'(0'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(1'(2'(2'(0'(2'(0'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(0'(1'(2'(2'(1'(2'(2'(0'(0'(2'(1'(2'(0'(2'(2'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(2'(0'(0'(2'(2'(2'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(2'(1'(1'(2'(2'(0'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(1'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(2'(1'(1'(2'(1'(2'(2'(0'(2'(2'(0'(2'(2'(0'(0'(1'(2'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(1'(0'(0'(1'(1'(1'(2'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(0'(2'(2'(1'(2'(0'(0'(0'(0'(0'(2'(2'(2'(2'(0'(0'(x1)))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(0'(0'(0'(2'(2'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(1'(0'(2'(2'(2'(0'(0'(1'(x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(0'(0'(2'(2'(1'(0'(0'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(0'(2'(2'(1'(1'(2'(0'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(2'(0'(1'(2'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(0'(1'(2'(2'(2'(0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(2'(0'(1'(0'(0'(2'(2'(2'(0'(0'(2'(1'(0'(2'(0'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(0'(1'(0'(0'(1'(0'(0'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(0'(2'(2'(1'(2'(1'(0'(1'(2'(2'(1'(1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(2'(0'(0'(1'(1'(1'(1'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   1'(z) -{ 1 }-> 2'(0'(0'(0'(0'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(2'(2'(0'(1'(0'(1'(1'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) :|: z = 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))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(1'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(0'(0'(0'(0'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(2'(2'(2'(0'(2'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(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 }-> 1'(1'(1'(0'(2'(1'(2'(2'(0'(2'(0'(1'(0'(0'(0'(1'(2'(2'(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 + x1)))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(0'(2'(0'(0'(0'(1'(0'(2'(1'(1'(0'(2'(1'(1'(2'(0'(0'(1'(0'(0'(2'(1'(1'(0'(1'(0'(1'(1'(2'(2'(0'(0'(2'(2'(2'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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'(0'(1'(1'(2'(0'(1'(1'(2'(2'(2'(1'(2'(1'(1'(1'(0'(2'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(1'(2'(0'(0'(0'(2'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))
   1'(z) -{ 1 }-> 1'(0'(2'(1'(2'(0'(0'(0'(2'(0'(2'(1'(0'(1'(1'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(1'(0'(2'(1'(0'(1'(1'(2'(1'(0'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(1'(2'(1'(0'(2'(2'(2'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(0'(2'(2'(2'(2'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(2'(0'(1'(2'(0'(2'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(2'(2'(1'(2'(1'(2'(2'(0'(2'(0'(0'(2'(1'(2'(2'(0'(2'(2'(0'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(2'(0'(1'(0'(2'(0'(1'(2'(0'(2'(2'(2'(1'(2'(2'(2'(1'(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 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(2'(2'(0'(0'(2'(1'(1'(2'(2'(1'(1'(0'(0'(2'(2'(1'(1'(2'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(1'(1'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(1'(2'(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 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(1'(1'(0'(2'(1'(1'(1'(1'(1'(0'(1'(1'(2'(1'(1'(1'(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 + (1 + (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))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(0'(0'(0'(2'(0'(0'(2'(0'(2'(0'(0'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(1'(1'(0'(2'(0'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(2'(0'(2'(2'(0'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(2'(0'(2'(0'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(1'(0'(2'(2'(2'(1'(2'(0'(2'(1'(x1)))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(0'(1'(1'(0'(2'(0'(0'(2'(2'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(0'(2'(2'(2'(2'(2'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(0'(0'(2'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(2'(2'(1'(2'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(1'(0'(2'(1'(2'(1'(1'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(0'(2'(1'(x1))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(1'(2'(2'(2'(2'(0'(2'(0'(2'(1'(1'(2'(0'(1'(1'(2'(1'(2'(0'(2'(0'(0'(2'(0'(2'(2'(2'(2'(0'(2'(1'(2'(2'(2'(2'(0'(1'(1'(2'(1'(0'(2'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(1'(0'(2'(0'(1'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(1'(2'(0'(0'(0'(1'(0'(2'(0'(1'(0'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(0'(0'(2'(1'(2'(0'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(1'(1'(0'(0'(2'(0'(0'(0'(0'(0'(1'(2'(1'(1'(0'(0'(1'(0'(0'(1'(2'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(0'(0'(1'(1'(2'(0'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(1'(1'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(1'(1'(2'(0'(2'(2'(2'(0'(1'(2'(0'(2'(2'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(0'(0'(1'(1'(2'(1'(2'(2'(2'(2'(0'(0'(0'(2'(0'(2'(0'(2'(0'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(0'(0'(2'(2'(2'(1'(0'(0'(0'(0'(0'(2'(1'(0'(1'(1'(0'(2'(2'(2'(0'(0'(0'(x1)))))))))))))))))))))))))) :|: z = 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))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(0'(2'(2'(2'(1'(1'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(2'(2'(2'(0'(0'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(1'(0'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(1'(1'(2'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   2'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(2'(2'(0'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(2'(0'(2'(1'(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 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(2'(0'(0'(0'(0'(2'(1'(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   2'(z) -{ 1 }-> 0'(1'(2'(2'(2'(1'(2'(1'(2'(2'(0'(1'(2'(0'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(1'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(1'(1'(2'(1'(0'(0'(2'(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   2'(z) -{ 1 }-> 0'(1'(1'(0'(2'(2'(0'(2'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(1'(2'(2'(1'(2'(1'(2'(2'(0'(0'(0'(0'(2'(0'(0'(0'(0'(0'(2'(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 + (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'(1'(2'(2'(0'(2'(0'(2'(0'(1'(1'(0'(1'(2'(0'(1'(1'(2'(0'(0'(2'(2'(1'(0'(1'(0'(2'(2'(0'(0'(2'(2'(x1)))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(2'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(1'(0'(2'(0'(2'(0'(2'(1'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(1'(0'(2'(2'(1'(1'(1'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(1'(0'(2'(0'(0'(1'(2'(0'(1'(2'(1'(2'(0'(1'(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 + (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'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(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 + x1))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(0'(2'(0'(2'(0'(1'(0'(0'(2'(2'(1'(0'(0'(1'(1'(0'(2'(2'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(2'(1'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(1'(1'(2'(2'(2'(0'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(1'(2'(0'(1'(1'(2'(1'(2'(0'(0'(0'(0'(1'(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 + (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_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   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_19))) :|: z = 1 + x_19, x_19 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_110))) :|: z = 1 + x_110, x_110 >= 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_112))) :|: z = 1 + x_112, x_112 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_113))) :|: z = 1 + x_113, x_113 >= 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_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   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


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

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

   0'(z) -{ 1 }-> 2'(2'(2'(0'(2'(0'(2'(1'(2'(2'(2'(0'(2'(2'(2'(2'(0'(2'(0'(2'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(1'(2'(2'(z - 31))))))))))))))))))))))))))))))))) :|: z - 31 >= 0
   0'(z) -{ 1 }-> 2'(2'(2'(0'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(2'(2'(2'(0'(2'(2'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(1'(1'(2'(1'(1'(0'(2'(0'(2'(0'(z - 39)))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   0'(z) -{ 1 }-> 2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(2'(0'(0'(0'(0'(1'(1'(0'(0'(1'(2'(0'(0'(2'(0'(0'(0'(0'(1'(2'(z - 28)))))))))))))))))))))))))))))) :|: z - 28 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(1'(1'(1'(2'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(1'(0'(2'(0'(z - 41)))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(2'(0'(0'(0'(1'(2'(2'(2'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(1'(1'(2'(2'(0'(2'(1'(0'(0'(2'(2'(1'(2'(2'(2'(2'(2'(0'(2'(0'(0'(2'(0'(z - 42)))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(2'(0'(0'(0'(1'(0'(0'(2'(2'(0'(0'(1'(2'(1'(2'(1'(2'(0'(0'(0'(1'(0'(0'(2'(1'(0'(z - 24))))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(1'(1'(0'(0'(2'(0'(0'(2'(2'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(2'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(1'(1'(z - 43))))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0
   0'(z) -{ 1 }-> 2'(0'(2'(2'(0'(2'(0'(2'(0'(2'(0'(0'(0'(0'(0'(z - 10))))))))))))))) :|: z - 10 >= 0
   0'(z) -{ 1 }-> 2'(0'(2'(1'(2'(0'(0'(2'(2'(2'(0'(0'(0'(1'(2'(0'(0'(2'(0'(0'(0'(0'(0'(0'(1'(2'(2'(1'(2'(1'(0'(1'(2'(1'(2'(0'(2'(2'(z - 36)))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 1 }-> 2'(0'(2'(1'(0'(2'(0'(2'(1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(2'(1'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(0'(2'(1'(2'(z - 36))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(2'(2'(2'(0'(1'(2'(0'(2'(2'(0'(1'(1'(0'(1'(2'(1'(0'(1'(0'(1'(2'(z - 23)))))))))))))))))))))))) :|: z - 23 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(1'(1'(2'(1'(0'(0'(2'(2'(2'(0'(2'(2'(0'(2'(2'(1'(2'(1'(0'(1'(z - 24))))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(1'(2'(0'(2'(1'(1'(2'(2'(1'(1'(1'(1'(1'(2'(0'(2'(1'(0'(2'(2'(2'(1'(2'(2'(1'(0'(2'(z - 34))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(2'(1'(1'(2'(2'(1'(1'(1'(0'(0'(1'(1'(1'(0'(2'(2'(0'(1'(2'(2'(2'(2'(1'(1'(0'(1'(1'(0'(0'(2'(2'(1'(2'(2'(2'(z - 47)))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(1'(0'(0'(1'(0'(2'(2'(0'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(0'(1'(2'(0'(z - 44)))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(0'(2'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(2'(0'(0'(0'(2'(0'(0'(1'(1'(2'(1'(1'(0'(1'(1'(0'(2'(0'(0'(2'(0'(2'(2'(0'(1'(2'(z - 42))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(2'(0'(1'(2'(2'(0'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(1'(1'(1'(2'(1'(0'(z - 32))))))))))))))))))))))))))))))))))))))) :|: z - 32 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(0'(2'(0'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(0'(1'(2'(0'(2'(1'(2'(0'(0'(0'(0'(z - 45))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 45 >= 0
   0'(z) -{ 1 }-> 0'(1'(2'(2'(0'(2'(1'(2'(2'(1'(0'(2'(2'(0'(0'(0'(2'(2'(2'(0'(2'(1'(1'(1'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(0'(2'(2'(2'(1'(2'(1'(z - 38)))))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 0'(1'(2'(2'(0'(2'(0'(0'(0'(0'(2'(0'(2'(0'(2'(0'(2'(2'(1'(1'(1'(0'(0'(1'(1'(0'(1'(1'(2'(2'(0'(0'(1'(1'(z - 28)))))))))))))))))))))))))))))))))) :|: z - 28 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(1'(2'(2'(0'(2'(0'(1'(1'(0'(2'(2'(0'(z - 39)))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(z - 4))))) :|: z - 4 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(0'(1'(2'(2'(1'(2'(2'(0'(0'(2'(1'(2'(0'(2'(2'(0'(0'(1'(0'(0'(0'(1'(2'(1'(z - 27))))))))))))))))))))))))))))) :|: z - 27 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(2'(0'(0'(2'(2'(2'(0'(1'(2'(0'(0'(1'(1'(1'(2'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(2'(1'(1'(2'(2'(0'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(z - 40)))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   0'(z) -{ 0 }-> 0 :|: z >= 0
   0'(z) -{ 0 }-> 1 + z :|: z >= 0
   1'(z) -{ 1 }-> 2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(1'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(1'(1'(2'(2'(0'(0'(z - 41))))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(2'(1'(1'(2'(1'(2'(2'(0'(2'(2'(0'(2'(2'(0'(0'(1'(2'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(z - 47))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(0'(0'(1'(1'(1'(2'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(0'(2'(2'(1'(2'(0'(0'(0'(0'(0'(2'(2'(2'(2'(0'(0'(z - 34)))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   1'(z) -{ 1 }-> 2'(1'(2'(0'(2'(1'(2'(0'(2'(0'(1'(2'(1'(2'(0'(1'(1'(0'(0'(1'(0'(2'(0'(0'(0'(0'(0'(2'(2'(1'(2'(1'(z - 27)))))))))))))))))))))))))))))))) :|: z - 27 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(0'(2'(0'(0'(0'(2'(0'(1'(1'(0'(2'(2'(2'(0'(0'(1'(z - 15))))))))))))))))))) :|: z - 15 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(0'(0'(2'(2'(1'(0'(0'(1'(0'(0'(0'(0'(0'(2'(2'(0'(0'(0'(2'(2'(1'(1'(2'(0'(0'(0'(0'(2'(0'(0'(1'(2'(2'(1'(2'(0'(1'(2'(1'(1'(0'(z - 41)))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(0'(1'(2'(2'(2'(0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(0'(2'(0'(1'(0'(2'(0'(2'(2'(2'(2'(0'(1'(0'(0'(2'(2'(2'(0'(0'(2'(1'(0'(2'(0'(0'(2'(z - 44)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(0'(1'(0'(0'(1'(0'(0'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(0'(2'(2'(1'(2'(1'(0'(1'(2'(2'(1'(1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(2'(2'(0'(1'(z - 45)))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 45 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(0'(0'(1'(1'(1'(1'(2'(z - 9)))))))))) :|: z - 9 >= 0
   1'(z) -{ 1 }-> 2'(0'(0'(0'(0'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(2'(2'(0'(1'(0'(1'(1'(1'(1'(1'(0'(z - 24))))))))))))))))))))))))))) :|: z - 24 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(1'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(0'(0'(z - 30)))))))))))))))))))))))))))))))))))) :|: z - 30 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(2'(2'(2'(0'(2'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(1'(0'(2'(0'(z - 22)))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(0'(2'(1'(2'(2'(0'(2'(0'(1'(0'(0'(0'(1'(2'(2'(0'(0'(0'(0'(z - 20)))))))))))))))))))))) :|: z - 20 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(0'(2'(0'(0'(0'(1'(0'(2'(1'(1'(0'(2'(1'(1'(2'(0'(0'(1'(0'(0'(2'(1'(1'(0'(1'(0'(1'(1'(2'(2'(0'(0'(2'(2'(2'(2'(2'(2'(0'(0'(z - 40))))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(0'(0'(1'(1'(2'(0'(1'(1'(2'(2'(2'(1'(2'(1'(1'(1'(0'(2'(0'(1'(0'(2'(0'(0'(0'(2'(0'(2'(0'(2'(0'(2'(z - 33))))))))))))))))))))))))))))))))))) :|: z - 33 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(1'(2'(0'(0'(0'(2'(0'(2'(1'(0'(1'(1'(z - 13))))))))))))))) :|: z - 13 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(1'(2'(0'(0'(0'(2'(0'(z - 8)))))))))) :|: z - 8 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(1'(0'(2'(1'(0'(1'(1'(2'(1'(0'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(1'(2'(1'(0'(2'(2'(2'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(1'(2'(0'(z - 42)))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(0'(2'(2'(2'(2'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(2'(0'(1'(2'(0'(2'(0'(0'(0'(0'(1'(0'(1'(1'(z - 40))))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   1'(z) -{ 1 }-> 0'(2'(2'(2'(1'(2'(1'(2'(2'(0'(2'(0'(0'(2'(1'(2'(2'(0'(2'(2'(0'(0'(0'(0'(0'(2'(0'(1'(1'(2'(1'(2'(0'(1'(0'(2'(0'(1'(2'(0'(2'(2'(2'(1'(2'(2'(2'(1'(0'(2'(z - 48)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   1'(z) -{ 1 }-> 0'(2'(2'(2'(0'(0'(2'(1'(1'(2'(2'(1'(1'(0'(0'(2'(2'(1'(1'(2'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(0'(2'(z - 35)))))))))))))))))))))))))))))))))))) :|: z - 35 >= 0
   1'(z) -{ 1 }-> 0'(2'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(1'(1'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(1'(1'(z - 26))))))))))))))))))))))))))))))) :|: z - 26 >= 0
   1'(z) -{ 1 }-> 0'(2'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(1'(1'(0'(2'(1'(1'(1'(1'(1'(0'(1'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(1'(z - 47))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   1'(z) -{ 1 }-> 0'(2'(0'(0'(0'(2'(0'(0'(2'(0'(2'(0'(0'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(1'(1'(0'(2'(0'(1'(2'(z - 27))))))))))))))))))))))))))))))) :|: z - 27 >= 0
   1'(z) -{ 1 }-> 0'(1'(2'(0'(2'(2'(0'(0'(0'(2'(2'(0'(2'(2'(2'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(1'(0'(0'(0'(2'(2'(1'(z - 28)))))))))))))))))))))))))))))))) :|: z - 28 >= 0
   1'(z) -{ 1 }-> 0'(1'(2'(0'(2'(0'(0'(1'(0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(2'(0'(1'(1'(1'(2'(0'(0'(1'(0'(2'(2'(2'(1'(2'(0'(2'(1'(z - 31)))))))))))))))))))))))))))))))))))) :|: z - 31 >= 0
   1'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(0'(1'(1'(0'(2'(0'(0'(2'(2'(z - 13))))))))))))))) :|: z - 13 >= 0
   1'(z) -{ 1 }-> 0'(1'(1'(0'(2'(2'(2'(2'(2'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(z - 27))))))))))))))))))))))))))))) :|: z - 27 >= 0
   1'(z) -{ 1 }-> 0'(1'(0'(0'(2'(0'(0'(0'(2'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(2'(2'(1'(1'(2'(2'(1'(2'(1'(1'(1'(2'(2'(z - 29)))))))))))))))))))))))))))))))) :|: z - 29 >= 0
   1'(z) -{ 0 }-> 0 :|: z >= 0
   1'(z) -{ 0 }-> 1 + z :|: z >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(1'(0'(2'(1'(2'(1'(1'(2'(0'(0'(2'(1'(0'(0'(2'(2'(1'(0'(2'(1'(z - 22))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(1'(2'(2'(2'(2'(0'(2'(0'(2'(1'(1'(2'(0'(1'(1'(2'(1'(2'(0'(2'(0'(0'(2'(0'(2'(2'(2'(2'(0'(2'(1'(2'(2'(2'(2'(0'(1'(1'(2'(1'(0'(2'(2'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(1'(0'(2'(0'(1'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(1'(2'(0'(0'(0'(1'(0'(2'(0'(1'(0'(0'(2'(0'(0'(0'(2'(z - 40)))))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(0'(2'(1'(2'(0'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(0'(1'(1'(0'(0'(2'(0'(0'(0'(0'(0'(1'(2'(1'(1'(0'(0'(1'(0'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(z - 46))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 46 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(0'(1'(1'(2'(0'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(1'(1'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(1'(1'(2'(0'(2'(2'(2'(0'(1'(2'(0'(2'(2'(0'(2'(2'(1'(z - 47)))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(0'(0'(1'(1'(2'(1'(2'(2'(2'(2'(0'(0'(0'(2'(0'(2'(0'(2'(0'(0'(2'(1'(0'(2'(2'(z - 35)))))))))))))))))))))))))))))))))))) :|: z - 35 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(0'(0'(2'(2'(2'(1'(0'(0'(0'(0'(0'(2'(1'(0'(1'(1'(0'(2'(2'(2'(0'(0'(0'(z - 24)))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(1'(0'(2'(2'(2'(1'(1'(2'(0'(2'(0'(0'(1'(0'(1'(0'(1'(2'(2'(1'(0'(2'(z - 27)))))))))))))))))))))))))))) :|: z - 27 >= 0
   2'(z) -{ 1 }-> 1'(2'(1'(2'(2'(2'(0'(0'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(1'(0'(1'(2'(0'(2'(1'(1'(2'(z - 39)))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   2'(z) -{ 1 }-> 0'(2'(1'(1'(2'(2'(0'(0'(0'(0'(2'(2'(0'(0'(2'(0'(0'(z - 11))))))))))))))))) :|: z - 11 >= 0
   2'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(2'(2'(0'(0'(1'(1'(1'(1'(0'(2'(0'(0'(2'(2'(0'(2'(1'(2'(2'(2'(0'(z - 26))))))))))))))))))))))))))) :|: z - 26 >= 0
   2'(z) -{ 1 }-> 0'(2'(0'(0'(0'(0'(2'(1'(z - 6)))))))) :|: z - 6 >= 0
   2'(z) -{ 1 }-> 0'(1'(2'(2'(2'(1'(2'(1'(2'(2'(0'(1'(2'(0'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(1'(2'(2'(0'(0'(2'(0'(z - 29))))))))))))))))))))))))))))))))) :|: z - 29 >= 0
   2'(z) -{ 1 }-> 0'(1'(1'(2'(1'(0'(0'(2'(z - 7)))))))) :|: z - 7 >= 0
   2'(z) -{ 1 }-> 0'(1'(1'(0'(2'(2'(0'(2'(0'(2'(0'(1'(1'(1'(0'(0'(0'(0'(1'(2'(2'(1'(2'(1'(2'(2'(0'(0'(0'(0'(2'(0'(0'(0'(0'(0'(2'(2'(1'(1'(0'(2'(2'(z - 40))))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   2'(z) -{ 1 }-> 0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(0'(1'(1'(0'(1'(2'(0'(1'(1'(2'(0'(0'(2'(2'(1'(0'(1'(0'(2'(2'(0'(0'(2'(2'(z - 31)))))))))))))))))))))))))))))))))) :|: z - 31 >= 0
   2'(z) -{ 1 }-> 0'(0'(2'(1'(0'(0'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(1'(2'(2'(1'(z - 47)))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   2'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(0'(2'(0'(2'(2'(0'(0'(0'(2'(2'(0'(0'(1'(0'(0'(0'(2'(0'(2'(1'(1'(0'(2'(0'(2'(0'(2'(1'(1'(0'(0'(1'(0'(2'(2'(z - 39))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   2'(z) -{ 1 }-> 0'(0'(1'(0'(2'(2'(1'(1'(1'(0'(2'(0'(0'(1'(2'(0'(2'(2'(1'(2'(2'(1'(0'(2'(0'(0'(1'(2'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(z - 36))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(2'(2'(2'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(2'(1'(0'(0'(2'(0'(z - 21)))))))))))))))))))))))) :|: z - 21 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(2'(0'(2'(0'(1'(0'(0'(2'(2'(1'(0'(0'(1'(1'(0'(2'(2'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(2'(1'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(1'(2'(z - 44))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(1'(1'(2'(2'(2'(0'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(1'(2'(0'(1'(1'(2'(1'(2'(0'(0'(0'(0'(1'(1'(2'(1'(z - 33))))))))))))))))))))))))))))))))))))))) :|: z - 33 >= 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


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

(31) 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

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

(32)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

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

   1'(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(1'(2'(2'(0'(0'(1'(2'(0'(2'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(2'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(1'(0'(2'(0'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(0'(2'(1'(2'(2'(1'(0'(1'(1'(0'(1'(2'(0'(2'(1'(2'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_2(x1))))))))))) -> 2'(0'(2'(2'(0'(2'(0'(2'(0'(2'(0'(0'(0'(0'(0'(x1))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(0'(1'(1'(2'(0'(0'(0'(0'(0'(0'(2'(0'(2'(2'(2'(1'(1'(0'(1'(2'(1'(0'(1'(0'(0'(0'(2'(1'(1'(2'(0'(2'(2'(2'(0'(1'(2'(0'(2'(2'(0'(2'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(2'(2'(0'(0'(1'(1'(0'(0'(2'(1'(0'(0'(0'(0'(1'(0'(2'(2'(0'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(1'(0'(1'(2'(0'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(0'(2'(2'(2'(2'(2'(1'(0'(0'(1'(0'(0'(1'(1'(1'(2'(1'(0'(1'(1'(1'(0'(1'(0'(0'(2'(2'(0'(1'(2'(0'(2'(0'(0'(0'(0'(1'(0'(1'(1'(x1))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(2'(0'(1'(2'(2'(0'(2'(2'(0'(0'(1'(2'(0'(2'(0'(2'(2'(0'(0'(2'(0'(0'(0'(0'(1'(1'(2'(0'(2'(1'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(0'(1'(0'(0'(1'(0'(0'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(0'(2'(2'(1'(2'(1'(0'(1'(2'(2'(1'(1'(2'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(2'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_2(x1)))))))))))))) -> 0'(1'(1'(1'(1'(2'(0'(1'(1'(0'(2'(0'(0'(2'(2'(x1))))))))))))))) [1]
   2'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(2'(0'(2'(0'(1'(0'(0'(2'(2'(1'(0'(0'(1'(1'(0'(2'(2'(0'(1'(1'(1'(2'(1'(0'(1'(1'(0'(2'(2'(1'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))) -> 1'(2'(0'(1'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(0'(0'(0'(0'(1'(0'(2'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(x1)))))))))))))) -> 1'(0'(2'(1'(2'(0'(0'(0'(2'(0'(2'(1'(0'(1'(1'(x1))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(0'(2'(0'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(2'(0'(0'(0'(2'(0'(0'(1'(1'(2'(1'(1'(0'(1'(1'(0'(2'(0'(0'(2'(0'(2'(2'(0'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(x1)))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(0'(0'(1'(1'(2'(1'(2'(2'(2'(2'(0'(0'(0'(2'(0'(2'(0'(2'(0'(0'(2'(1'(0'(2'(2'(x1)))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(x1))))) -> 0'(1'(1'(0'(0'(x1))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_2(c_2(x1)))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(2'(1'(2'(1'(2'(2'(0'(1'(2'(0'(0'(1'(0'(0'(0'(0'(0'(0'(2'(0'(0'(2'(1'(2'(2'(0'(0'(2'(0'(x1))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(0'(2'(0'(2'(1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(2'(1'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(0'(2'(1'(2'(x1))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_2(c_2(c_1(x1))))))) -> 0'(2'(0'(0'(0'(0'(2'(1'(x1)))))))) [1]
   1'(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(0'(2'(1'(0'(1'(1'(2'(1'(0'(1'(1'(2'(2'(1'(1'(2'(0'(1'(0'(2'(1'(2'(1'(0'(2'(2'(2'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(1'(2'(0'(2'(1'(1'(2'(2'(1'(1'(1'(1'(1'(2'(0'(2'(1'(0'(2'(2'(2'(1'(2'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(0'(1'(2'(1'(1'(0'(0'(2'(2'(1'(1'(2'(1'(2'(2'(0'(2'(2'(0'(2'(2'(0'(0'(1'(2'(2'(1'(1'(2'(0'(0'(2'(2'(0'(2'(2'(0'(0'(0'(0'(0'(0'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))) -> 0'(2'(0'(0'(0'(2'(0'(0'(2'(0'(2'(0'(0'(0'(2'(1'(1'(2'(1'(1'(2'(0'(0'(2'(1'(1'(0'(2'(0'(1'(2'(x1))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(1'(0'(2'(0'(0'(0'(1'(0'(2'(1'(1'(0'(2'(1'(1'(2'(0'(0'(1'(0'(0'(2'(1'(1'(0'(1'(0'(1'(1'(2'(2'(0'(0'(2'(2'(2'(2'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))))))) -> 0'(2'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(1'(1'(0'(2'(2'(0'(2'(0'(0'(0'(2'(0'(1'(1'(2'(1'(0'(1'(1'(x1))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_2(x1)))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(2'(0'(0'(2'(1'(1'(2'(2'(1'(1'(0'(0'(2'(2'(1'(1'(2'(1'(2'(0'(0'(0'(0'(1'(1'(2'(0'(0'(0'(2'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(0'(2'(0'(1'(0'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(1'(2'(0'(2'(0'(0'(1'(1'(2'(0'(0'(0'(1'(0'(2'(0'(1'(0'(0'(2'(0'(0'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_2(x1)))))))))))))))))))))))) -> 2'(0'(0'(2'(2'(2'(0'(1'(2'(0'(2'(2'(0'(1'(1'(0'(1'(2'(1'(0'(1'(0'(1'(2'(x1)))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_2(x1)))))))))) -> 2'(0'(2'(0'(0'(1'(1'(1'(1'(2'(x1)))))))))) [1]
   0'(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))))) -> 2'(0'(0'(2'(0'(0'(1'(1'(1'(2'(1'(0'(0'(2'(2'(2'(0'(2'(2'(0'(2'(2'(1'(2'(1'(0'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(x1))))))))) -> 1'(0'(2'(1'(2'(0'(0'(0'(2'(0'(x1)))))))))) [1]
   1'(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 1'(1'(1'(2'(2'(2'(0'(2'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(1'(0'(2'(0'(x1)))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_0(x1))))))))))))))))))))))))) -> 2'(0'(0'(0'(0'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(2'(2'(0'(1'(0'(1'(1'(1'(1'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(0'(0'(2'(0'(0'(2'(2'(0'(2'(1'(0'(1'(2'(1'(0'(1'(2'(2'(0'(0'(1'(0'(1'(0'(1'(1'(0'(1'(2'(2'(2'(2'(2'(0'(0'(2'(0'(0'(1'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(x1)))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(0'(1'(1'(0'(1'(2'(0'(1'(1'(2'(0'(0'(2'(2'(1'(0'(1'(0'(2'(2'(0'(0'(2'(2'(x1)))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(x1)))))))))))))))))))))) -> 0'(0'(0'(2'(2'(2'(2'(0'(0'(0'(0'(2'(2'(1'(2'(2'(0'(0'(2'(1'(0'(0'(2'(0'(x1)))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(2'(1'(2'(2'(1'(0'(2'(2'(0'(0'(0'(2'(2'(2'(0'(2'(1'(1'(1'(1'(2'(0'(0'(0'(0'(0'(0'(2'(1'(1'(0'(2'(2'(2'(1'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))))))))) -> 2'(2'(2'(0'(0'(2'(0'(0'(0'(1'(2'(0'(0'(0'(0'(1'(1'(0'(0'(1'(2'(0'(0'(2'(0'(0'(0'(0'(1'(2'(x1)))))))))))))))))))))))))))))) [1]
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   0'(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(0'(0'(1'(0'(2'(2'(0'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(1'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(0'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(1'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(2'(0'(2'(1'(1'(1'(1'(2'(2'(0'(2'(0'(1'(1'(0'(2'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(1'(0'(0'(0'(2'(0'(1'(1'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(2'(2'(2'(1'(2'(1'(1'(2'(0'(2'(0'(1'(1'(1'(2'(0'(0'(2'(0'(1'(1'(0'(2'(1'(2'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))))))))))) -> 0'(1'(1'(0'(2'(2'(2'(2'(2'(2'(0'(1'(1'(0'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(1'(2'(2'(1'(2'(2'(0'(0'(2'(1'(2'(0'(2'(2'(0'(0'(1'(0'(0'(0'(1'(2'(1'(x1))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(2'(0'(1'(1'(1'(0'(0'(2'(0'(2'(0'(0'(2'(0'(0'(1'(1'(1'(2'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(1'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(2'(2'(2'(0'(0'(0'(2'(2'(2'(0'(0'(2'(1'(1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(1'(1'(0'(2'(1'(1'(1'(1'(1'(0'(1'(1'(2'(1'(1'(1'(0'(1'(0'(0'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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:
1' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_0 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_1 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_2 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
2' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
0' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encArg :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encode_1 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encode_2 :: cons_0:cons_2:cons_1 -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encArg :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_0 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_1 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_2 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_0' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_1' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_2' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
const :: cons_0:cons_2:cons_1

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

(33) 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

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

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

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

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

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

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(1(0(1(0(z0))))) -> 0(1(1(0(0(z0)))))
   0(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))))
   0(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))))
   0(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))) -> 0(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))))))
   0(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))))
   0(2(1(0(2(0(0(2(0(2(2(1(1(2(2(1(0(0(2(0(1(0(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))))) -> 2(2(2(0(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))))))))))))))))
   0(2(1(0(1(2(2(2(2(1(2(0(0(0(1(1(1(2(0(2(1(1(1(2(1(1(0(2(2(2(1(2(z0)))))))))))))))))))))))))))))))) -> 2(2(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(0(2(1(2(0(2(2(0(2(2(2(1(2(2(0(0(2(1(2(1(2(1(2(2(0(2(2(0(2(2(1(0(z0))))))))))))))))))))))))))))))))) -> 0(2(0(0(2(0(1(2(2(0(2(2(0(0(1(2(0(2(0(2(2(0(0(2(0(0(0(0(1(1(2(0(2(1(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))
   0(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))
   0(1(0(2(0(1(0(2(1(0(0(1(1(2(1(1(1(2(2(1(0(0(1(0(0(0(1(0(1(1(0(0(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(0(2(0(2(1(2(0(2(0(0(0(0(0(0(2(2(0(2(0(2(1(2(2(1(1(0(2(1(2(2(2(0(2(1(2(z0)))))))))))))))))))))))))))))))))))))))
   0(2(0(1(2(1(1(2(0(1(1(0(0(1(1(0(2(1(0(0(0(0(2(2(2(2(0(1(1(1(1(2(1(0(2(0(2(z0))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(2(0(0(2(2(2(0(0(0(1(2(0(0(2(0(0(0(0(0(0(1(2(2(1(2(1(0(1(2(1(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))
   0(1(0(0(0(2(2(0(2(1(2(1(2(1(2(2(1(1(0(1(1(2(0(2(1(2(2(2(0(1(2(1(2(0(1(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(1(2(2(1(0(2(2(0(0(0(2(2(2(0(2(1(1(1(1(2(0(0(0(0(0(0(2(1(1(0(2(2(2(1(2(1(z0))))))))))))))))))))))))))))))))))))))))))
   0(1(0(2(2(1(2(0(2(0(1(0(1(2(2(0(2(0(1(1(1(2(0(2(1(2(2(1(2(2(0(1(2(1(1(0(1(1(1(0(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(1(2(1(2(2(0(2(1(1(0(0(1(2(1(1(0(0(2(1(2(2(0(2(1(1(1(1(2(2(0(2(0(1(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))
   0(2(0(2(0(1(1(0(2(1(2(1(0(0(2(1(1(2(1(0(1(1(0(1(1(0(0(0(2(1(0(0(2(1(2(1(2(2(1(2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(2(0(0(1(2(0(0(0(0(2(2(2(2(0(2(2(2(0(2(2(2(2(1(0(2(2(1(2(1(1(2(1(1(0(2(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(2(2(1(0(1(1(1(1(0(2(1(1(0(1(0(1(2(2(2(2(1(1(0(1(2(1(1(1(1(0(2(2(2(0(1(2(1(z0))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(2(0(0(2(2(2(0(1(2(0(0(1(1(1(2(0(2(0(0(2(0(0(0(1(1(2(1(1(2(2(0(2(1(1(0(2(0(0(0(1(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   0(0(1(0(1(0(1(2(0(2(0(2(2(2(1(1(1(1(0(2(2(0(1(1(1(0(2(1(2(0(2(2(1(0(1(2(0(1(1(1(2(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(2(2(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(2(0(1(0(2(0(0(2(0(1(0(2(1(2(0(1(2(0(0(0(2(1(1(1(1(2(0(1(0(2(0(2(1(1(2(2(0(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(1(0(2(0(2(0(1(1(0(2(0(2(0(1(2(0(0(0(2(0(0(1(1(2(1(1(0(1(1(0(2(0(0(2(0(2(2(0(1(2(z0)))))))))))))))))))))))))))))))))))))))))))
   0(2(2(2(2(1(0(2(2(0(1(1(0(2(2(2(2(1(2(2(0(2(1(0(0(0(2(0(0(1(0(1(1(0(0(1(0(2(2(2(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(2(2(2(0(2(1(1(1(0(1(0(0(2(1(1(2(2(0(2(1(0(0(2(2(1(2(2(2(2(2(0(2(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(2(1(2(2(1(1(2(0(1(2(2(1(2(0(1(0(0(1(2(1(2(0(1(1(0(1(0(2(0(1(1(1(1(2(2(0(0(2(0(2(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(1(0(0(2(0(0(2(2(0(2(1(0(1(2(1(0(1(2(2(0(0(1(0(1(0(1(1(0(1(2(2(2(2(2(0(0(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
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   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(1(0(0(1(0(0(2(2(2(0(0(1(2(1(1(2(0(0(0(0(2(1(0(2(0(2(2(0(2(2(2(2(0(0(2(0(1(0(1(0(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(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'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))) -> c11(0'(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))))))))), 1'(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))))), 0'(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))))))), 1'(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))), 1'(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))), 1'(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))), 2'(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))), 2'(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))), 1'(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))), 2'(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))), 2'(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))), 0'(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))), 0'(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))), 2'(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))), 1'(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))), 2'(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))), 0'(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))), 2'(2(0(0(1(0(0(0(1(2(1(z0))))))))))), 2'(0(0(1(0(0(0(1(2(1(z0)))))))))), 0'(0(1(0(0(0(1(2(1(z0))))))))), 0'(1(0(0(0(1(2(1(z0)))))))), 1'(0(0(0(1(2(1(z0))))))), 0'(0(0(1(2(1(z0)))))), 0'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(0(2(2(2(2(1(z0))))))) -> c30(0'(2(0(0(0(0(2(1(z0)))))))), 2'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(1(0(1(0(1(2(z0)))))))) -> c31(0'(1(1(2(1(0(0(2(z0)))))))), 1'(1(2(1(0(0(2(z0))))))), 1'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(1(2(2(0(2(1(1(0(1(1(2(z0)))))))))))) -> c32(0'(2(1(1(2(2(0(0(0(0(2(2(0(0(2(0(0(z0))))))))))))))))), 2'(1(1(2(2(0(0(0(0(2(2(0(0(2(0(0(z0)))))))))))))))), 1'(1(2(2(0(0(0(0(2(2(0(0(2(0(0(z0))))))))))))))), 1'(2(2(0(0(0(0(2(2(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(0(0(2(2(0(0(2(0(0(z0))))))))))))), 2'(0(0(0(0(2(2(0(0(2(0(0(z0)))))))))))), 0'(0(0(0(2(2(0(0(2(0(0(z0))))))))))), 0'(0(0(2(2(0(0(2(0(0(z0)))))))))), 0'(0(2(2(0(0(2(0(0(z0))))))))), 0'(2(2(0(0(2(0(0(z0)))))))), 2'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   1'(2(1(0(1(1(0(2(1(2(2(0(1(2(z0)))))))))))))) -> c55(0'(1(1(1(1(2(0(1(1(0(2(0(0(2(2(z0))))))))))))))), 1'(1(1(1(2(0(1(1(0(2(0(0(2(2(z0)))))))))))))), 1'(1(1(2(0(1(1(0(2(0(0(2(2(z0))))))))))))), 1'(1(2(0(1(1(0(2(0(0(2(2(z0)))))))))))), 1'(2(0(1(1(0(2(0(0(2(2(z0))))))))))), 2'(0(1(1(0(2(0(0(2(2(z0)))))))))), 0'(1(1(0(2(0(0(2(2(z0))))))))), 1'(1(0(2(0(0(2(2(z0)))))))), 1'(0(2(0(0(2(2(z0))))))), 0'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
S tuples:
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))) -> c11(0'(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))))))))), 1'(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))))), 0'(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))))))), 1'(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))), 1'(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))), 1'(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))), 2'(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))), 2'(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))), 1'(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))), 2'(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))), 2'(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))), 0'(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))), 0'(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))), 2'(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))), 1'(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))), 2'(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))), 0'(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))), 2'(2(0(0(1(0(0(0(1(2(1(z0))))))))))), 2'(0(0(1(0(0(0(1(2(1(z0)))))))))), 0'(0(1(0(0(0(1(2(1(z0))))))))), 0'(1(0(0(0(1(2(1(z0)))))))), 1'(0(0(0(1(2(1(z0))))))), 0'(0(0(1(2(1(z0)))))), 0'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   0'(2(1(0(2(0(0(2(0(2(2(1(1(2(2(1(0(0(2(0(1(0(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))))) -> c13(2'(2(2(0(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))))))))))))))))))))), 2'(2(0(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))))))))))))), 0'(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))))))))))))))))), 2'(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))))))))))), 0'(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))))))))))))))), 0'(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))))))))), 0'(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))))))))))))), 1'(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))))))), 2'(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))))))))))), 0'(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))))), 0'(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))))))))), 0'(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))), 0'(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))))))), 1'(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))), 1'(0(0(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))))), 0'(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))), 0'(1(2(0(0(2(0(0(0(0(1(2(z0)))))))))))), 1'(2(0(0(2(0(0(0(0(1(2(z0))))))))))), 2'(0(0(2(0(0(0(0(1(2(z0)))))))))), 0'(0(2(0(0(0(0(1(2(z0))))))))), 0'(2(0(0(0(0(1(2(z0)))))))), 2'(0(0(0(0(1(2(z0))))))), 0'(0(0(0(1(2(z0)))))), 0'(0(0(1(2(z0))))), 0'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   2'(0(2(2(2(2(1(z0))))))) -> c30(0'(2(0(0(0(0(2(1(z0)))))))), 2'(0(0(0(0(2(1(z0))))))), 0'(0(0(0(2(1(z0)))))), 0'(0(0(2(1(z0))))), 0'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(1(0(1(0(1(2(z0)))))))) -> c31(0'(1(1(2(1(0(0(2(z0)))))))), 1'(1(2(1(0(0(2(z0))))))), 1'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(1(2(2(0(2(1(1(0(1(1(2(z0)))))))))))) -> c32(0'(2(1(1(2(2(0(0(0(0(2(2(0(0(2(0(0(z0))))))))))))))))), 2'(1(1(2(2(0(0(0(0(2(2(0(0(2(0(0(z0)))))))))))))))), 1'(1(2(2(0(0(0(0(2(2(0(0(2(0(0(z0))))))))))))))), 1'(2(2(0(0(0(0(2(2(0(0(2(0(0(z0)))))))))))))), 2'(2(0(0(0(0(2(2(0(0(2(0(0(z0))))))))))))), 2'(0(0(0(0(2(2(0(0(2(0(0(z0)))))))))))), 0'(0(0(0(2(2(0(0(2(0(0(z0))))))))))), 0'(0(0(2(2(0(0(2(0(0(z0)))))))))), 0'(0(2(2(0(0(2(0(0(z0))))))))), 0'(2(2(0(0(2(0(0(z0)))))))), 2'(2(0(0(2(0(0(z0))))))), 2'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   1'(2(1(0(1(1(0(2(1(2(2(0(1(2(z0)))))))))))))) -> c55(0'(1(1(1(1(2(0(1(1(0(2(0(0(2(2(z0))))))))))))))), 1'(1(1(1(2(0(1(1(0(2(0(0(2(2(z0)))))))))))))), 1'(1(1(2(0(1(1(0(2(0(0(2(2(z0))))))))))))), 1'(1(2(0(1(1(0(2(0(0(2(2(z0)))))))))))), 1'(2(0(1(1(0(2(0(0(2(2(z0))))))))))), 2'(0(1(1(0(2(0(0(2(2(z0)))))))))), 0'(1(1(0(2(0(0(2(2(z0))))))))), 1'(1(0(2(0(0(2(2(z0)))))))), 1'(0(2(0(0(2(2(z0))))))), 0'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 1_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, 2'_1, 1'_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_5, c7_15, c8_24, c9_27, c10_29, c11_29, c12_34, c13_30, c14_33, c15_39, c16_37, c17_39, c18_38, c19_42, c20_40, c21_42, c22_48, c23_44, c24_43, c25_44, c26_45, c27_48, c28_47, c29_48, c30_8, c31_8, c32_17, c33_24, c34_23, c35_26, c36_27, c37_28, c38_33, c39_34, c40_39, c41_36, c42_39, c43_41, c44_42, c45_43, c46_44, c47_45, c48_47, c49_49, c50_48, c51_48, c52_10, c53_10, c54_15, c55_15, c56_19, c57_22, c58_24, c59_27, c60_31, c61_32, c62_31, c63_29, c64_32, c65_32, c66_36, c67_36, c68_35, c69_38, c70_36, c71_43, c72_43, c73_45, c74_44, c75_44, c76_46, c77_48, c78_49, c79_49, c80_50


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

(37) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 10 leading nodes:
   0'(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))) -> c11(0'(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))))))))), 1'(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))))), 0'(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))))))), 1'(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))), 1'(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))), 1'(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))))), 2'(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))), 2'(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))))), 1'(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))), 2'(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))))), 2'(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))), 0'(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))))), 0'(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))), 2'(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))))), 1'(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))), 2'(0(2(2(0(0(1(0(0(0(1(2(1(z0))))))))))))), 0'(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))), 2'(2(0(0(1(0(0(0(1(2(1(z0))))))))))), 2'(0(0(1(0(0(0(1(2(1(z0)))))))))), 0'(0(1(0(0(0(1(2(1(z0))))))))), 0'(1(0(0(0(1(2(1(z0)))))))), 1'(0(0(0(1(2(1(z0))))))), 0'(0(0(1(2(1(z0)))))), 0'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   0'(0(1(0(1(0(1(2(0(2(0(2(2(2(1(1(1(1(0(2(2(0(1(1(1(0(2(1(2(0(2(2(1(0(1(2(0(1(1(1(2(2(z0)))))))))))))))))))))))))))))))))))))))))) -> c23(2'(2(0(2(2(2(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 2'(2(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(1(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 1'(0(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))))), 0'(0(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))))))))))))), 0'(2(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(0(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))))))))))), 0'(1(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(1(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))))))))), 1'(1(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))))))), 1'(0(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))))))), 0'(0(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))))), 0'(2(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))))), 2'(0(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))))), 0'(2(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))))), 2'(0(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))))), 0'(0(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))))), 0'(1(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))))), 1'(1(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))))), 1'(1(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))))), 1'(2(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))))), 2'(1(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))))), 1'(2(0(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))))), 2'(0(0(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))))), 0'(0(1(2(1(1(0(1(0(1(0(2(0(z0))))))))))))), 0'(1(2(1(1(0(1(0(1(0(2(0(z0)))))))))))), 1'(2(1(1(0(1(0(1(0(2(0(z0))))))))))), 2'(1(1(0(1(0(1(0(2(0(z0)))))))))), 1'(1(0(1(0(1(0(2(0(z0))))))))), 1'(0(1(0(1(0(2(0(z0)))))))), 0'(1(0(1(0(2(0(z0))))))), 1'(0(1(0(2(0(z0)))))), 0'(1(0(2(0(z0))))), 1'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(0(1(0(1(0(1(2(z0)))))))) -> c31(0'(1(1(2(1(0(0(2(z0)))))))), 1'(1(2(1(0(0(2(z0))))))), 1'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   1'(1(1(1(0(0(1(0(0(2(2(2(0(0(1(2(1(1(2(0(0(0(0(2(1(0(2(0(2(2(0(2(2(2(2(0(0(2(0(1(0(1(0(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c79(2'(2(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))), 0'(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))))), 0'(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))), 0'(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))), 2'(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))), 2'(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))))), 1'(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))), 2'(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))))), 0'(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))))), 2'(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))), 0'(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))))), 2'(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))), 2'(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))))), 0'(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))), 0'(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))))), 1'(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))), 2'(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))))), 2'(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))), 1'(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))))), 1'(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))), 2'(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))))), 0'(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))), 0'(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))), 2'(0(2(2(0(0(0(0(0(0(2(0(0(z0))))))))))))), 0'(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))), 2'(2(0(0(0(0(0(0(2(0(0(z0))))))))))), 2'(0(0(0(0(0(0(2(0(0(z0)))))))))), 0'(0(0(0(0(0(2(0(0(z0))))))))), 0'(0(0(0(0(2(0(0(z0)))))))), 0'(0(0(0(2(0(0(z0))))))), 0'(0(0(2(0(0(z0)))))), 0'(0(2(0(0(z0))))), 0'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(1(0(1(0(z0))))) -> 0(1(1(0(0(z0)))))
   0(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))))
   0(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))))
   0(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))) -> 0(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))))))
   0(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))))
   0(2(1(0(2(0(0(2(0(2(2(1(1(2(2(1(0(0(2(0(1(0(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))))) -> 2(2(2(0(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))))))))))))))))
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   0(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))
   0(1(0(2(0(1(0(2(1(0(0(1(1(2(1(1(1(2(2(1(0(0(1(0(0(0(1(0(1(1(0(0(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(0(2(0(2(1(2(0(2(0(0(0(0(0(0(2(2(0(2(0(2(1(2(2(1(1(0(2(1(2(2(2(0(2(1(2(z0)))))))))))))))))))))))))))))))))))))))
   0(2(0(1(2(1(1(2(0(1(1(0(0(1(1(0(2(1(0(0(0(0(2(2(2(2(0(1(1(1(1(2(1(0(2(0(2(z0))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(2(0(0(2(2(2(0(0(0(1(2(0(0(2(0(0(0(0(0(0(1(2(2(1(2(1(0(1(2(1(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))
   0(1(0(0(0(2(2(0(2(1(2(1(2(1(2(2(1(1(0(1(1(2(0(2(1(2(2(2(0(1(2(1(2(0(1(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(1(2(2(1(0(2(2(0(0(0(2(2(2(0(2(1(1(1(1(2(0(0(0(0(0(0(2(1(1(0(2(2(2(1(2(1(z0))))))))))))))))))))))))))))))))))))))))))
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   1(2(2(0(1(0(0(0(2(0(0(1(1(0(2(1(0(2(1(0(0(0(2(2(1(1(1(0(0(2(1(2(1(0(0(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(2(0(0(0(1(0(2(1(1(0(2(1(1(2(0(0(1(0(0(2(1(1(0(1(0(1(1(2(2(0(0(2(2(2(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))
   1(0(0(1(0(2(1(1(0(1(1(1(2(1(0(1(0(2(2(2(1(2(0(2(1(0(0(1(2(2(1(2(1(1(2(0(0(1(0(0(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(1(2(0(2(2(1(2(1(2(2(0(0(1(2(0(2(0(0(0(0(2(1(0(1(0(0(0(0(0(2(0(2(2(2(2(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(1(1(1(1(2(2(1(1(0(2(2(2(2(1(2(1(1(1(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(0(2(2(1(0(0(1(0(0(0(0(0(2(2(0(0(0(2(2(1(1(2(0(0(0(0(2(0(0(1(2(2(1(2(0(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(1(1(0(0(0(0(1(0(1(1(2(1(0(1(2(1(0(1(2(2(2(1(2(0(1(0(0(0(2(1(1(1(2(2(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(0(2(1(0(1(1(2(1(0(1(1(2(2(1(1(2(0(1(0(2(1(2(1(0(2(2(2(1(1(1(0(0(2(0(2(0(0(1(2(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(2(1(1(1(1(0(2(0(1(1(0(1(1(1(1(0(0(2(2(0(2(2(2(0(1(2(1(2(1(0(0(0(0(2(0(2(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(2(2(2(0(0(1(2(2(0(1(1(1(2(2(0(2(0(1(0(2(0(2(2(2(2(0(1(0(0(2(2(2(0(0(2(1(0(2(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(1(0(0(1(0(0(2(2(2(0(0(1(2(1(1(2(0(0(0(0(2(1(0(2(0(2(2(0(2(2(2(2(0(0(2(0(1(0(1(0(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(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'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   1'(2(1(0(1(1(0(2(1(2(2(0(1(2(z0)))))))))))))) -> c55(0'(1(1(1(1(2(0(1(1(0(2(0(0(2(2(z0))))))))))))))), 1'(1(1(1(2(0(1(1(0(2(0(0(2(2(z0)))))))))))))), 1'(1(1(2(0(1(1(0(2(0(0(2(2(z0))))))))))))), 1'(1(2(0(1(1(0(2(0(0(2(2(z0)))))))))))), 1'(2(0(1(1(0(2(0(0(2(2(z0))))))))))), 2'(0(1(1(0(2(0(0(2(2(z0)))))))))), 0'(1(1(0(2(0(0(2(2(z0))))))))), 1'(1(0(2(0(0(2(2(z0)))))))), 1'(0(2(0(0(2(2(z0))))))), 0'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
S tuples:
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(2'(0(0(1(1(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 0'(1(1(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 1'(1(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 1'(2(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(1(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))), 1'(2(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))))))))))), 2'(0(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))), 0'(2(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))))))))), 2'(1(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))), 2'(2(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))))), 2'(1(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))), 1'(1(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))))), 1'(1(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))), 1'(1(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))))), 1'(1(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))), 1'(2(0(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))))), 2'(0(2(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))), 0'(2(1(0(2(2(2(1(2(2(1(0(2(z0))))))))))))), 2'(1(0(2(2(2(1(2(2(1(0(2(z0)))))))))))), 1'(0(2(2(2(1(2(2(1(0(2(z0))))))))))), 0'(2(2(2(1(2(2(1(0(2(z0)))))))))), 2'(2(2(1(2(2(1(0(2(z0))))))))), 2'(2(1(2(2(1(0(2(z0)))))))), 2'(1(2(2(1(0(2(z0))))))), 1'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   1'(2(1(0(1(1(0(2(1(2(2(0(1(2(z0)))))))))))))) -> c55(0'(1(1(1(1(2(0(1(1(0(2(0(0(2(2(z0))))))))))))))), 1'(1(1(1(2(0(1(1(0(2(0(0(2(2(z0)))))))))))))), 1'(1(1(2(0(1(1(0(2(0(0(2(2(z0))))))))))))), 1'(1(2(0(1(1(0(2(0(0(2(2(z0)))))))))))), 1'(2(0(1(1(0(2(0(0(2(2(z0))))))))))), 2'(0(1(1(0(2(0(0(2(2(z0)))))))))), 0'(1(1(0(2(0(0(2(2(z0))))))))), 1'(1(0(2(0(0(2(2(z0)))))))), 1'(0(2(0(0(2(2(z0))))))), 0'(2(0(0(2(2(z0)))))), 2'(0(0(2(2(z0))))), 0'(0(2(2(z0)))), 0'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 1_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, 2'_1, 1'_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_5, c7_15, c8_24, c9_27, c10_29, c12_34, c13_30, c14_33, c15_39, c16_37, c17_39, c18_38, c19_42, c20_40, c21_42, c22_48, c24_43, c25_44, c26_45, c27_48, c28_47, c29_48, c30_8, c32_17, c33_24, c34_23, c35_26, c36_27, c38_33, c39_34, c40_39, c41_36, c43_41, c44_42, c45_43, c46_44, c48_47, c49_49, c50_48, c51_48, c52_10, c53_10, c54_15, c55_15, c56_19, c57_22, c59_27, c60_31, c61_32, c62_31, c63_29, c64_32, c65_32, c66_36, c68_35, c70_36, c71_43, c72_43, c73_45, c74_44, c75_44, c76_46, c77_48, c78_49, c80_50


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

(39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 218 trailing tuple parts
----------------------------------------

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(1(0(1(0(z0))))) -> 0(1(1(0(0(z0)))))
   0(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))))
   0(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))))
   0(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))) -> 0(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))))))
   0(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> 0(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))))
   0(2(1(0(2(0(0(2(0(2(2(1(1(2(2(1(0(0(2(0(1(0(2(2(2(0(0(2(2(z0))))))))))))))))))))))))))))) -> 2(2(2(0(0(2(0(0(0(1(2(0(0(0(0(1(1(0(0(1(2(0(0(2(0(0(0(0(1(2(z0))))))))))))))))))))))))))))))
   0(2(1(0(1(2(2(2(2(1(2(0(0(0(1(1(1(2(0(2(1(1(1(2(1(1(0(2(2(2(1(2(z0)))))))))))))))))))))))))))))))) -> 2(2(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))))))
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   1(1(2(0(0(1(2(2(2(1(2(0(0(1(0(0(1(2(1(1(2(1(1(1(2(0(2(1(0(0(2(2(0(1(2(2(2(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(2(2(2(2(2(1(0(0(1(0(0(1(1(1(2(1(0(1(1(1(0(1(0(0(2(2(0(1(2(0(2(0(0(0(0(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(1(0(0(0(2(0(0(1(1(0(2(1(0(2(1(0(0(0(2(2(1(1(1(0(0(2(1(2(1(0(0(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(2(0(0(0(1(0(2(1(1(0(2(1(1(2(0(0(1(0(0(2(1(1(0(1(0(1(1(2(2(0(0(2(2(2(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))
   1(0(0(1(0(2(1(1(0(1(1(1(2(1(0(1(0(2(2(2(1(2(0(2(1(0(0(1(2(2(1(2(1(1(2(0(0(1(0(0(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(1(2(0(2(2(1(2(1(2(2(0(0(1(2(0(2(0(0(0(0(2(1(0(1(0(0(0(0(0(2(0(2(2(2(2(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(1(1(1(1(2(2(1(1(0(2(2(2(2(1(2(1(1(1(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(0(2(2(1(0(0(1(0(0(0(0(0(2(2(0(0(0(2(2(1(1(2(0(0(0(0(2(0(0(1(2(2(1(2(0(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(1(1(0(0(0(0(1(0(1(1(2(1(0(1(2(1(0(1(2(2(2(1(2(0(1(0(0(0(2(1(1(1(2(2(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(0(2(1(0(1(1(2(1(0(1(1(2(2(1(1(2(0(1(0(2(1(2(1(0(2(2(2(1(1(1(0(0(2(0(2(0(0(1(2(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(2(1(1(1(1(0(2(0(1(1(0(1(1(1(1(0(0(2(2(0(2(2(2(0(1(2(1(2(1(0(0(0(0(2(0(2(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(2(2(2(0(0(1(2(2(0(1(1(1(2(2(0(2(0(1(0(2(0(2(2(2(2(0(1(0(0(2(2(2(0(0(2(1(0(2(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(1(0(0(1(0(0(2(2(2(0(0(1(2(1(1(2(0(0(0(0(2(1(0(2(0(2(2(0(2(2(2(2(0(0(2(0(1(0(1(0(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(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'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
S tuples:
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 1_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, 2'_1, 1'_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6_5, c7_15, c8_24, c9_27, c10_29, c12_34, c13_30, c14_33, c15_39, c17_39, c18_38, c19_42, c20_40, c21_42, c22_48, c24_43, c25_44, c26_45, c27_48, c28_47, c29_48, c30_8, c32_17, c33_24, c35_26, c36_27, c38_33, c39_34, c40_39, c41_36, c43_41, c44_42, c45_43, c46_44, c48_47, c49_49, c52_10, c53_10, c54_15, c55_15, c56_19, c59_27, c60_31, c61_32, c62_31, c65_32, c66_36, c68_35, c70_36, c71_43, c72_43, c73_45, c74_44, c75_44, c76_46, c77_48, c78_49, c80_50, c16_2, c34_3, c50_6, c51_3, c57_2, c63_2, c64_3


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(1(0(1(0(z0))))) -> 0(1(1(0(0(z0)))))
   0(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))))
   0(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))))
   0(0(0(1(0(1(0(0(1(2(2(2(0(1(2(1(2(0(2(1(0(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))) -> 0(1(0(1(1(0(1(2(2(1(2(2(0(0(2(1(2(0(2(2(0(0(1(0(0(0(1(2(1(z0)))))))))))))))))))))))))))))
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   1(1(0(1(1(0(1(0(1(2(1(1(0(1(2(1(0(0(2(2(0(1(2(2(2(2(1(0(z0)))))))))))))))))))))))))))) -> 0(2(0(0(0(2(0(0(2(0(2(0(0(0(2(1(1(2(1(1(2(0(0(2(1(1(0(2(0(1(2(z0)))))))))))))))))))))))))))))))
   1(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> 0(1(1(0(2(2(2(2(2(2(0(1(1(0(2(0(2(0(1(1(0(1(1(1(1(0(0(0(0(z0)))))))))))))))))))))))))))))
   1(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> 0(1(2(0(2(2(0(0(0(2(2(0(2(2(2(0(0(0(2(1(2(1(2(0(1(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))))))
   1(2(1(1(1(0(0(0(0(0(2(2(0(0(1(0(2(0(0(2(1(0(2(0(1(1(0(1(1(2(z0)))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(0(0(2(2(0(0(0(2(2(1(0(2(0(2(2(1(1(2(2(1(2(1(1(1(2(2(z0))))))))))))))))))))))))))))))))
   1(1(2(2(1(1(1(1(0(0(2(2(2(2(1(1(2(0(2(2(2(1(0(0(0(1(0(1(1(2(2(z0))))))))))))))))))))))))))))))) -> 1(2(0(1(2(2(1(1(0(1(2(2(1(1(0(2(0(0(0(1(1(1(1(2(0(2(0(0(0(0(1(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))
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   1(0(1(0(0(0(0(2(2(0(2(2(1(1(2(1(2(2(2(2(1(1(2(0(1(0(1(0(1(0(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(0(0(1(1(1(2(0(0(0(0(2(1(2(2(0(2(1(1(1(0(2(2(1(2(0(0(0(0(0(2(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))
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   1(1(2(0(0(1(2(2(2(1(2(0(0(1(0(0(1(2(1(1(2(1(1(1(2(0(2(1(0(0(2(2(0(1(2(2(2(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(2(2(2(2(2(1(0(0(1(0(0(1(1(1(2(1(0(1(1(1(0(1(0(0(2(2(0(1(2(0(2(0(0(0(0(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(1(0(0(0(2(0(0(1(1(0(2(1(0(2(1(0(0(0(2(2(1(1(1(0(0(2(1(2(1(0(0(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(2(0(0(0(1(0(2(1(1(0(2(1(1(2(0(0(1(0(0(2(1(1(0(1(0(1(1(2(2(0(0(2(2(2(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))
   1(0(0(1(0(2(1(1(0(1(1(1(2(1(0(1(0(2(2(2(1(2(0(2(1(0(0(1(2(2(1(2(1(1(2(0(0(1(0(0(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(1(2(0(2(2(1(2(1(2(2(0(0(1(2(0(2(0(0(0(0(2(1(0(1(0(0(0(0(0(2(0(2(2(2(2(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(1(1(1(1(2(2(1(1(0(2(2(2(2(1(2(1(1(1(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(0(2(2(1(0(0(1(0(0(0(0(0(2(2(0(0(0(2(2(1(1(2(0(0(0(0(2(0(0(1(2(2(1(2(0(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(1(1(0(0(0(0(1(0(1(1(2(1(0(1(2(1(0(1(2(2(2(1(2(0(1(0(0(0(2(1(1(1(2(2(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(0(2(1(0(1(1(2(1(0(1(1(2(2(1(1(2(0(1(0(2(1(2(1(0(2(2(2(1(1(1(0(0(2(0(2(0(0(1(2(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(2(1(1(1(1(0(2(0(1(1(0(1(1(1(1(0(0(2(2(0(2(2(2(0(1(2(1(2(1(0(0(0(0(2(0(2(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(2(2(2(0(0(1(2(2(0(1(1(1(2(2(0(2(0(1(0(2(0(2(2(2(2(0(1(0(0(2(2(2(0(0(2(1(0(2(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(1(0(0(1(0(0(2(2(2(0(0(1(2(1(1(2(0(0(0(0(2(1(0(2(0(2(2(0(2(2(2(2(0(0(2(0(1(0(1(0(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c11(0'(encArg(z0)))
   ENCODE_0(z0) -> c11(ENCARG(z0))
   ENCODE_1(z0) -> c11(1'(encArg(z0)))
   ENCODE_1(z0) -> c11(ENCARG(z0))
   ENCODE_2(z0) -> c11(2'(encArg(z0)))
   ENCODE_2(z0) -> c11(ENCARG(z0))
S tuples:
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   0'(2(1(0(1(2(2(2(2(1(2(0(0(0(1(1(1(2(0(2(1(1(1(2(1(1(0(2(2(2(1(2(z0)))))))))))))))))))))))))))))))) -> c14(2'(2(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))))), 0'(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))), 2'(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))), 2'(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))), 2'(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))), 0'(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))), 2'(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))), 2'(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))), 2'(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))), 2'(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))), 0'(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))), 2'(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))), 0'(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))), 2'(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))), 0'(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))), 0'(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))), 0'(2(0(0(1(2(2(1(1(2(2(z0))))))))))), 2'(0(0(1(2(2(1(1(2(2(z0)))))))))), 0'(0(1(2(2(1(1(2(2(z0))))))))), 0'(1(2(2(1(1(2(2(z0)))))))), 1'(2(2(1(1(2(2(z0))))))), 2'(2(1(1(2(2(z0)))))), 2'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c6_5, c7_15, c8_24, c9_27, c10_29, c12_34, c13_30, c14_33, c15_39, c17_39, c18_38, c19_42, c20_40, c21_42, c22_48, c24_43, c25_44, c26_45, c27_48, c28_47, c29_48, c30_8, c32_17, c33_24, c35_26, c36_27, c38_33, c39_34, c40_39, c41_36, c43_41, c44_42, c45_43, c46_44, c48_47, c49_49, c52_10, c53_10, c54_15, c55_15, c56_19, c59_27, c60_31, c61_32, c62_31, c65_32, c66_36, c68_35, c70_36, c71_43, c72_43, c73_45, c74_44, c75_44, c76_46, c77_48, c78_49, c80_50, c16_2, c34_3, c50_6, c51_3, c57_2, c63_2, c64_3, c11_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 3 leading nodes:
   ENCODE_0(z0) -> c11(ENCARG(z0))
   ENCODE_1(z0) -> c11(ENCARG(z0))
   ENCODE_2(z0) -> c11(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(1(0(1(0(z0))))) -> 0(1(1(0(0(z0)))))
   0(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))))
   0(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))))
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   1(0(1(2(1(0(2(1(1(1(1(0(1(1(1(2(1(0(2(2(1(2(2(0(2(2(0(1(z0)))))))))))))))))))))))))))) -> 2(1(2(0(2(1(2(0(2(0(1(2(1(2(0(1(1(0(0(1(0(2(0(0(0(0(0(2(2(1(2(1(z0))))))))))))))))))))))))))))))))
   1(1(0(1(1(0(1(0(1(2(1(1(0(1(2(1(0(0(2(2(0(1(2(2(2(2(1(0(z0)))))))))))))))))))))))))))) -> 0(2(0(0(0(2(0(0(2(0(2(0(0(0(2(1(1(2(1(1(2(0(0(2(1(1(0(2(0(1(2(z0)))))))))))))))))))))))))))))))
   1(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> 0(1(1(0(2(2(2(2(2(2(0(1(1(0(2(0(2(0(1(1(0(1(1(1(1(0(0(0(0(z0)))))))))))))))))))))))))))))
   1(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> 0(1(2(0(2(2(0(0(0(2(2(0(2(2(2(0(0(0(2(1(2(1(2(0(1(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))))))
   1(2(1(1(1(0(0(0(0(0(2(2(0(0(1(0(2(0(0(2(1(0(2(0(1(1(0(1(1(2(z0)))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(0(0(2(2(0(0(0(2(2(1(0(2(0(2(2(1(1(2(2(1(2(1(1(1(2(2(z0))))))))))))))))))))))))))))))))
   1(1(2(2(1(1(1(1(0(0(2(2(2(2(1(1(2(0(2(2(2(1(0(0(0(1(0(1(1(2(2(z0))))))))))))))))))))))))))))))) -> 1(2(0(1(2(2(1(1(0(1(2(2(1(1(0(2(0(0(0(1(1(1(1(2(0(2(0(0(0(0(1(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))
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   1(0(1(0(0(0(0(2(2(0(2(2(1(1(2(1(2(2(2(2(1(1(2(0(1(0(1(0(1(0(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(0(0(1(1(1(2(0(0(0(0(2(1(2(2(0(2(1(1(1(0(2(2(1(2(0(0(0(0(0(2(2(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))
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   1(1(2(0(0(1(2(2(2(1(2(0(0(1(0(0(1(2(1(1(2(1(1(1(2(0(2(1(0(0(2(2(0(1(2(2(2(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(2(2(2(2(2(1(0(0(1(0(0(1(1(1(2(1(0(1(1(1(0(1(0(0(2(2(0(1(2(0(2(0(0(0(0(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(1(0(0(0(2(0(0(1(1(0(2(1(0(2(1(0(0(0(2(2(1(1(1(0(0(2(1(2(1(0(0(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(2(0(0(0(1(0(2(1(1(0(2(1(1(2(0(0(1(0(0(2(1(1(0(1(0(1(1(2(2(0(0(2(2(2(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))
   1(0(0(1(0(2(1(1(0(1(1(1(2(1(0(1(0(2(2(2(1(2(0(2(1(0(0(1(2(2(1(2(1(1(2(0(0(1(0(0(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(1(2(0(2(2(1(2(1(2(2(0(0(1(2(0(2(0(0(0(0(2(1(0(1(0(0(0(0(0(2(0(2(2(2(2(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(1(1(1(1(2(2(1(1(0(2(2(2(2(1(2(1(1(1(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(0(2(2(1(0(0(1(0(0(0(0(0(2(2(0(0(0(2(2(1(1(2(0(0(0(0(2(0(0(1(2(2(1(2(0(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(1(1(0(0(0(0(1(0(1(1(2(1(0(1(2(1(0(1(2(2(2(1(2(0(1(0(0(0(2(1(1(1(2(2(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(0(2(1(0(1(1(2(1(0(1(1(2(2(1(1(2(0(1(0(2(1(2(1(0(2(2(2(1(1(1(0(0(2(0(2(0(0(1(2(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(2(1(1(1(1(0(2(0(1(1(0(1(1(1(1(0(0(2(2(0(2(2(2(0(1(2(1(2(1(0(0(0(0(2(0(2(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(2(2(2(0(0(1(2(2(0(1(1(1(2(2(0(2(0(1(0(2(0(2(2(2(2(0(1(0(0(2(2(2(0(0(2(1(0(2(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(1(0(0(1(0(0(2(2(2(0(0(1(2(1(1(2(0(0(0(0(2(1(0(2(0(2(2(0(2(2(2(2(0(0(2(0(1(0(1(0(2(1(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(0(1(2(1(1(0(0(2(2(1(1(2(1(2(2(0(2(2(0(2(2(0(0(1(2(2(1(1(2(0(0(2(2(0(2(2(0(0(0(0(0(0(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c11(0'(encArg(z0)))
   ENCODE_1(z0) -> c11(1'(encArg(z0)))
   ENCODE_2(z0) -> c11(2'(encArg(z0)))
S tuples:
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   0'(2(1(0(1(2(2(2(2(1(2(0(0(0(1(1(1(2(0(2(1(1(1(2(1(1(0(2(2(2(1(2(z0)))))))))))))))))))))))))))))))) -> c14(2'(2(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))))), 0'(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))), 2'(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))), 2'(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))), 2'(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))), 0'(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))), 2'(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))), 2'(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))), 2'(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))), 2'(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))), 0'(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))), 2'(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))), 0'(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))), 2'(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))), 0'(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))), 0'(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))), 0'(2(0(0(1(2(2(1(1(2(2(z0))))))))))), 2'(0(0(1(2(2(1(1(2(2(z0)))))))))), 0'(0(1(2(2(1(1(2(2(z0))))))))), 0'(1(2(2(1(1(2(2(z0)))))))), 1'(2(2(1(1(2(2(z0))))))), 2'(2(1(1(2(2(z0)))))), 2'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c6_5, c7_15, c8_24, c9_27, c10_29, c12_34, c13_30, c14_33, c15_39, c17_39, c18_38, c19_42, c20_40, c21_42, c22_48, c24_43, c25_44, c26_45, c27_48, c28_47, c29_48, c30_8, c32_17, c33_24, c35_26, c36_27, c38_33, c39_34, c40_39, c41_36, c43_41, c44_42, c45_43, c46_44, c48_47, c49_49, c52_10, c53_10, c54_15, c55_15, c56_19, c59_27, c60_31, c61_32, c62_31, c65_32, c66_36, c68_35, c70_36, c71_43, c72_43, c73_45, c74_44, c75_44, c76_46, c77_48, c78_49, c80_50, c16_2, c34_3, c50_6, c51_3, c57_2, c63_2, c64_3, c11_1


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

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(1(0(1(0(z0))))) -> 0(1(1(0(0(z0)))))
   0(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))))
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   2(0(2(2(2(2(1(z0))))))) -> 0(2(0(0(0(0(2(1(z0))))))))
   2(1(2(2(0(2(1(1(0(1(1(2(z0)))))))))))) -> 0(2(1(1(2(2(0(0(0(0(2(2(0(0(2(0(0(z0)))))))))))))))))
   2(0(1(0(2(0(2(1(0(2(0(2(0(1(2(0(1(2(0(2(1(0(z0)))))))))))))))))))))) -> 0(0(0(2(2(2(2(0(0(0(0(2(2(1(2(2(0(0(2(1(0(0(2(0(z0))))))))))))))))))))))))
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   2(0(0(2(2(2(2(1(1(1(2(2(2(0(1(1(0(0(2(1(1(0(0(1(0(z0))))))))))))))))))))))))) -> 2(0(1(0(0(2(2(2(1(0(0(0(0(0(2(1(0(1(1(0(2(2(2(0(0(0(z0))))))))))))))))))))))))))
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   2(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(1(0(0(0(2(0(1(1(1(1(2(0(1(2(1(2(1(0(2(2(2(1(2(1(1(2(0(2(0(1(1(1(2(0(0(2(0(1(1(0(2(1(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(0(1(1(2(0(0(0(0(0(0(2(0(2(2(2(1(1(0(1(2(1(0(1(0(0(0(2(1(1(2(0(2(2(2(0(1(2(0(2(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(1(1(1(0(1(2(2(z0))))))))) -> 1(0(2(1(2(0(0(0(2(0(z0))))))))))
   1(2(0(1(1(0(2(0(1(2(z0)))))))))) -> 2(0(2(0(0(1(1(1(1(2(z0))))))))))
   1(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> 1(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))))
   1(2(1(0(1(1(0(2(1(2(2(0(1(2(z0)))))))))))))) -> 0(1(1(1(1(2(0(1(1(0(2(0(0(2(2(z0)))))))))))))))
   1(2(2(1(0(1(0(2(1(1(1(2(1(1(0(1(z0)))))))))))))))) -> 2(1(0(0(2(0(0(0(2(0(1(1(0(2(2(2(0(0(1(z0)))))))))))))))))))
   1(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> 1(1(1(0(2(1(2(2(0(2(0(1(0(0(0(1(2(2(0(0(0(0(z0))))))))))))))))))))))
   1(0(1(2(1(2(2(2(1(1(1(2(2(2(0(1(1(0(1(2(1(1(1(0(0(z0))))))))))))))))))))))))) -> 2(0(0(0(0(1(0(2(2(2(2(0(2(0(1(0(2(2(0(1(0(1(1(1(1(1(0(z0)))))))))))))))))))))))))))
   1(1(2(2(0(1(0(2(1(2(1(2(0(1(2(1(0(0(0(0(0(0(0(1(2(1(1(z0))))))))))))))))))))))))))) -> 0(2(1(2(0(0(2(0(2(0(2(1(1(1(0(2(2(0(2(0(0(0(2(0(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))
   1(0(1(2(1(0(2(1(1(1(1(0(1(1(1(2(1(0(2(2(1(2(2(0(2(2(0(1(z0)))))))))))))))))))))))))))) -> 2(1(2(0(2(1(2(0(2(0(1(2(1(2(0(1(1(0(0(1(0(2(0(0(0(0(0(2(2(1(2(1(z0))))))))))))))))))))))))))))))))
   1(1(0(1(1(0(1(0(1(2(1(1(0(1(2(1(0(0(2(2(0(1(2(2(2(2(1(0(z0)))))))))))))))))))))))))))) -> 0(2(0(0(0(2(0(0(2(0(2(0(0(0(2(1(1(2(1(1(2(0(0(2(1(1(0(2(0(1(2(z0)))))))))))))))))))))))))))))))
   1(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> 0(1(1(0(2(2(2(2(2(2(0(1(1(0(2(0(2(0(1(1(0(1(1(1(1(0(0(0(0(z0)))))))))))))))))))))))))))))
   1(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> 0(1(2(0(2(2(0(0(0(2(2(0(2(2(2(0(0(0(2(1(2(1(2(0(1(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))))))
   1(2(1(1(1(0(0(0(0(0(2(2(0(0(1(0(2(0(0(2(1(0(2(0(1(1(0(1(1(2(z0)))))))))))))))))))))))))))))) -> 0(1(0(0(2(0(0(0(2(2(0(0(0(2(2(1(0(2(0(2(2(1(1(2(2(1(2(1(1(1(2(2(z0))))))))))))))))))))))))))))))))
   1(1(2(2(1(1(1(1(0(0(2(2(2(2(1(1(2(0(2(2(2(1(0(0(0(1(0(1(1(2(2(z0))))))))))))))))))))))))))))))) -> 1(2(0(1(2(2(1(1(0(1(2(2(1(1(0(2(0(0(0(1(1(1(1(2(0(2(0(0(0(0(1(0(2(0(0(0(z0))))))))))))))))))))))))))))))))))))
   1(0(1(1(0(0(0(0(0(0(1(2(0(2(0(0(0(1(1(2(2(2(1(0(0(1(2(0(2(1(0(1(1(2(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(2(0(1(1(2(2(2(1(2(1(1(1(0(2(0(1(0(2(0(0(0(2(0(2(0(2(0(2(z0)))))))))))))))))))))))))))))))))))
   1(2(0(0(0(0(2(1(0(0(2(1(1(0(2(2(2(1(2(2(0(2(0(0(2(1(1(2(2(1(0(0(2(0(1(2(z0)))))))))))))))))))))))))))))))))))) -> 0(2(2(2(0(0(2(1(1(2(2(1(1(0(0(2(2(1(1(2(1(2(0(0(0(0(1(1(2(0(0(0(2(2(0(2(z0))))))))))))))))))))))))))))))))))))
   1(1(2(0(0(1(2(2(2(1(2(0(0(1(0(0(1(2(1(1(2(1(1(1(2(0(2(1(0(0(2(2(0(1(2(2(2(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(2(2(2(2(2(1(0(0(1(0(0(1(1(1(2(1(0(1(1(1(0(1(0(0(2(2(0(1(2(0(2(0(0(0(0(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(1(0(0(0(2(0(0(1(1(0(2(1(0(2(1(0(0(0(2(2(1(1(1(0(0(2(1(2(1(0(0(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(2(0(0(0(1(0(2(1(1(0(2(1(1(2(0(0(1(0(0(2(1(1(0(1(0(1(1(2(2(0(0(2(2(2(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))
   1(0(0(1(0(2(1(1(0(1(1(1(2(1(0(1(0(2(2(2(1(2(0(2(1(0(0(1(2(2(1(2(1(1(2(0(0(1(0(0(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(1(2(0(2(2(1(2(1(2(2(0(0(1(2(0(2(0(0(0(0(2(1(0(1(0(0(0(0(0(2(0(2(2(2(2(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(1(1(1(1(2(2(1(1(0(2(2(2(2(1(2(1(1(1(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(0(2(2(1(0(0(1(0(0(0(0(0(2(2(0(0(0(2(2(1(1(2(0(0(0(0(2(0(0(1(2(2(1(2(0(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(1(1(0(0(0(0(1(0(1(1(2(1(0(1(2(1(0(1(2(2(2(1(2(0(1(0(0(0(2(1(1(1(2(2(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(0(2(1(0(1(1(2(1(0(1(1(2(2(1(1(2(0(1(0(2(1(2(1(0(2(2(2(1(1(1(0(0(2(0(2(0(0(1(2(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(2(1(1(1(1(0(2(0(1(1(0(1(1(1(1(0(0(2(2(0(2(2(2(0(1(2(1(2(1(0(0(0(0(2(0(2(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(2(2(2(0(0(1(2(2(0(1(1(1(2(2(0(2(0(1(0(2(0(2(2(2(2(0(1(0(0(2(2(2(0(0(2(1(0(2(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c11(0'(encArg(z0)))
   ENCODE_1(z0) -> c11(1'(encArg(z0)))
   ENCODE_2(z0) -> c11(2'(encArg(z0)))
S tuples:
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   0'(2(1(0(1(2(2(2(2(1(2(0(0(0(1(1(1(2(0(2(1(1(1(2(1(1(0(2(2(2(1(2(z0)))))))))))))))))))))))))))))))) -> c14(2'(2(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))))), 0'(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))), 2'(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))), 2'(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))), 2'(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))), 0'(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))), 2'(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))), 2'(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))), 2'(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))), 2'(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))), 0'(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))), 2'(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))), 0'(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))), 2'(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))), 0'(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))), 0'(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))), 0'(2(0(0(1(2(2(1(1(2(2(z0))))))))))), 2'(0(0(1(2(2(1(1(2(2(z0)))))))))), 0'(0(1(2(2(1(1(2(2(z0))))))))), 0'(1(2(2(1(1(2(2(z0)))))))), 1'(2(2(1(1(2(2(z0))))))), 2'(2(1(1(2(2(z0)))))), 2'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 2_1, 1_1

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

Compound Symbols:   c_2, c1_2, c2_2, c6_5, c7_15, c8_24, c9_27, c10_29, c12_34, c13_30, c14_33, c15_39, c17_39, c18_38, c19_42, c20_40, c21_42, c22_48, c24_43, c25_44, c26_45, c27_48, c28_47, c29_48, c30_8, c32_17, c33_24, c35_26, c36_27, c38_33, c39_34, c40_39, c41_36, c43_41, c44_42, c45_43, c46_44, c48_47, c49_49, c52_10, c53_10, c54_15, c55_15, c56_19, c59_27, c60_31, c61_32, c62_31, c65_32, c66_36, c68_35, c70_36, c71_43, c72_43, c73_45, c74_44, c75_44, c76_46, c77_48, c78_49, c80_50, c16_2, c34_3, c50_6, c51_3, c57_2, c63_2, c64_3, c11_1


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

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

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(1(0(1(0(z0))))) -> 0(1(1(0(0(z0)))))
   0(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> 2(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))))
   0(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> 2(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))))
   0(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> 2(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))))
   0(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> 2(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))))
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   1(0(1(1(1(0(1(2(2(z0))))))))) -> 1(0(2(1(2(0(0(0(2(0(z0))))))))))
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   1(2(0(0(0(0(2(1(0(0(2(1(1(0(2(2(2(1(2(2(0(2(0(0(2(1(1(2(2(1(0(0(2(0(1(2(z0)))))))))))))))))))))))))))))))))))) -> 0(2(2(2(0(0(2(1(1(2(2(1(1(0(0(2(2(1(1(2(1(2(0(0(0(0(1(1(2(0(0(0(2(2(0(2(z0))))))))))))))))))))))))))))))))))))
   1(1(2(0(0(1(2(2(2(1(2(0(0(1(0(0(1(2(1(1(2(1(1(1(2(0(2(1(0(0(2(2(0(1(2(2(2(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(0(2(2(2(2(2(1(0(0(1(0(0(1(1(1(2(1(0(1(1(1(0(1(0(0(2(2(0(1(2(0(2(0(0(0(0(1(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(1(0(0(0(2(0(0(1(1(0(2(1(0(2(1(0(0(0(2(2(1(1(1(0(0(2(1(2(1(0(0(0(2(2(0(1(0(z0))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(0(2(0(0(0(1(0(2(1(1(0(2(1(1(2(0(0(1(0(0(2(1(1(0(1(0(1(1(2(2(0(0(2(2(2(2(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))
   1(0(0(1(0(2(1(1(0(1(1(1(2(1(0(1(0(2(2(2(1(2(0(2(1(0(0(1(2(2(1(2(1(1(2(0(0(1(0(0(1(2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(0(1(2(0(2(2(1(2(1(2(2(0(0(1(2(0(2(0(0(0(0(2(1(0(1(0(0(0(0(0(2(0(2(2(2(2(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(2(1(1(1(1(0(1(1(2(1(1(1(1(1(2(2(1(1(0(2(2(2(2(1(2(1(1(1(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(0(0(2(2(1(0(0(1(0(0(0(0(0(2(2(0(0(0(2(2(1(1(2(0(0(0(0(2(0(0(1(2(2(1(2(0(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(1(1(0(0(0(0(1(0(1(1(2(1(0(1(2(1(0(1(2(2(2(1(2(0(1(0(0(0(2(1(1(1(2(2(1(2(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(0(2(1(0(1(1(2(1(0(1(1(2(2(1(1(2(0(1(0(2(1(2(1(0(2(2(2(1(1(1(0(0(2(0(2(0(0(1(2(0(z0))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(2(1(1(1(1(0(2(0(1(1(0(1(1(1(1(0(0(2(2(0(2(2(2(0(1(2(1(2(1(0(0(0(0(2(0(2(1(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(2(2(2(0(0(1(2(2(0(1(1(1(2(2(0(2(0(1(0(2(0(2(2(2(2(0(1(0(0(2(2(2(0(0(2(1(0(2(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(2(1(1(0(0(2(1(2(1(1(0(0(2(2(1(1(1(2(0(2(1(0(1(1(2(2(0(1(1(0(0(0(1(0(2(2(1(2(2(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 2(0(2(0(1(0(0(1(0(0(0(1(2(0(0(1(2(1(1(0(0(2(2(1(2(1(0(1(2(2(1(1(2(0(1(1(2(0(2(2(0(1(2(1(2(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(0(1(0(0(0(1(1(0(2(2(2(0(1(0(1(2(0(0(1(2(0(2(2(1(0(2(1(0(0(2(2(2(0(0(0(2(1(1(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(2(2(2(0(0(0(2(2(2(0(0(2(1(1(0(0(0(2(1(1(1(2(1(2(1(1(0(2(1(1(1(1(1(0(1(1(2(1(1(1(0(1(0(0(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c11(0'(encArg(z0)))
   ENCODE_1(z0) -> c11(1'(encArg(z0)))
   ENCODE_2(z0) -> c11(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
S tuples:
   0'(1(0(1(0(z0))))) -> c6(0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(1(0(1(2(1(0(0(2(2(2(z0))))))))))) -> c7(2'(0(2(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))))), 0'(2(2(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))))), 2'(2(0(2(0(2(0(2(0(0(0(0(0(z0))))))))))))), 2'(0(2(0(2(0(2(0(0(0(0(0(z0)))))))))))), 0'(2(0(2(0(2(0(0(0(0(0(z0))))))))))), 2'(0(2(0(2(0(0(0(0(0(z0)))))))))), 0'(2(0(2(0(0(0(0(0(z0))))))))), 2'(0(2(0(0(0(0(0(z0)))))))), 0'(2(0(0(0(0(0(z0))))))), 2'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(0(1(2(0(2(0(2(1(2(0(1(1(2(1(2(1(1(0(0(0(2(2(2(z0)))))))))))))))))))))))) -> c8(2'(0(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))))), 0'(0(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))))), 0'(2(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))))), 2'(2(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))))), 2'(2(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))))), 2'(0(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))))), 0'(1(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))))), 1'(2(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))))), 2'(0(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))))), 0'(2(2(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))))), 2'(2(0(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))))), 2'(0(1(1(0(1(2(1(0(1(0(1(2(z0))))))))))))), 0'(1(1(0(1(2(1(0(1(0(1(2(z0)))))))))))), 1'(1(0(1(2(1(0(1(0(1(2(z0))))))))))), 1'(0(1(2(1(0(1(0(1(2(z0)))))))))), 0'(1(2(1(0(1(0(1(2(z0))))))))), 1'(2(1(0(1(0(1(2(z0)))))))), 2'(1(0(1(0(1(2(z0))))))), 1'(0(1(0(1(2(z0)))))), 0'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(2(1(0(0(1(0(2(1(1(2(0(1(2(2(2(2(0(2(1(2(2(0(2(1(z0))))))))))))))))))))))))) -> c9(2'(0(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))))), 2'(0(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))))), 0'(1(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))))), 1'(1(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))))), 1'(1(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))))), 1'(2(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))))), 2'(1(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))))), 1'(0(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))))), 0'(0(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))))), 0'(2(2(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))))), 2'(2(2(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))))), 2'(2(0(2(2(0(2(2(1(2(1(0(1(z0))))))))))))), 2'(0(2(2(0(2(2(1(2(1(0(1(z0)))))))))))), 0'(2(2(0(2(2(1(2(1(0(1(z0))))))))))), 2'(2(0(2(2(1(2(1(0(1(z0)))))))))), 2'(0(2(2(1(2(1(0(1(z0))))))))), 0'(2(2(1(2(1(0(1(z0)))))))), 2'(2(1(2(1(0(1(z0))))))), 2'(1(2(1(0(1(z0)))))), 1'(2(1(0(1(z0))))), 2'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(1(1(1(2(0(2(1(1(2(0(1(1(2(1(1(2(0(0(2(0(2(1(0(z0))))))))))))))))))))))))) -> c10(2'(2(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))))), 2'(0(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))))), 0'(2(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))))), 0'(1(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))))), 1'(0(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))))), 0'(0(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))))), 0'(2(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))))), 2'(2(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))))), 0'(1(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))))), 1'(2(1(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))))), 2'(1(2(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))))), 1'(2(1(2(0(0(0(1(0(0(2(1(0(z0))))))))))))), 2'(1(2(0(0(0(1(0(0(2(1(0(z0)))))))))))), 1'(2(0(0(0(1(0(0(2(1(0(z0))))))))))), 2'(0(0(0(1(0(0(2(1(0(z0)))))))))), 0'(0(0(1(0(0(2(1(0(z0))))))))), 0'(0(1(0(0(2(1(0(z0)))))))), 0'(1(0(0(2(1(0(z0))))))), 1'(0(0(2(1(0(z0)))))), 0'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(0(2(1(1(2(0(1(2(2(0(1(1(2(2(1(1(2(2(2(0(1(0(1(2(0(0(1(0(z0))))))))))))))))))))))))))))) -> c12(0'(1(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))))), 0'(2(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))))), 0'(0(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))))), 0'(2(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))))), 2'(0(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))))), 0'(2(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))))), 2'(0(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))))), 0'(2(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))))), 2'(0(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))))), 0'(2(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))))), 2'(2(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))))), 2'(1(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))))), 1'(1(0(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))))), 1'(0(0(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))))), 0'(0(1(1(0(1(1(2(2(0(0(1(1(z0))))))))))))), 0'(1(1(0(1(1(2(2(0(0(1(1(z0)))))))))))), 1'(1(0(1(1(2(2(0(0(1(1(z0))))))))))), 1'(0(1(1(2(2(0(0(1(1(z0)))))))))), 0'(1(1(2(2(0(0(1(1(z0))))))))), 1'(1(2(2(0(0(1(1(z0)))))))), 1'(2(2(0(0(1(1(z0))))))), 2'(2(0(0(1(1(z0)))))), 2'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   0'(2(1(0(1(2(2(2(2(1(2(0(0(0(1(1(1(2(0(2(1(1(1(2(1(1(0(2(2(2(1(2(z0)))))))))))))))))))))))))))))))) -> c14(2'(2(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))))), 2'(0(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))))), 0'(2(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))))), 2'(0(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))))), 2'(1(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))))), 2'(2(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))))), 2'(2(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))))), 2'(0(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))))), 0'(2(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))))), 2'(2(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))))), 2'(2(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))))), 2'(2(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))))), 2'(0(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))))), 0'(2(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))))), 2'(0(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))))), 0'(2(0(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))))), 2'(0(0(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))))), 0'(0(0(2(0(0(1(2(2(1(1(2(2(z0))))))))))))), 0'(0(2(0(0(1(2(2(1(1(2(2(z0)))))))))))), 0'(2(0(0(1(2(2(1(1(2(2(z0))))))))))), 2'(0(0(1(2(2(1(1(2(2(z0)))))))))), 0'(0(1(2(2(1(1(2(2(z0))))))))), 0'(1(2(2(1(1(2(2(z0)))))))), 1'(2(2(1(1(2(2(z0))))))), 2'(2(1(1(2(2(z0)))))), 2'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(0(1(1(1(0(1(2(2(z0))))))))) -> c52(1'(0(2(1(2(0(0(0(2(0(z0)))))))))), 0'(2(1(2(0(0(0(2(0(z0))))))))), 2'(1(2(0(0(0(2(0(z0)))))))), 1'(2(0(0(0(2(0(z0))))))), 2'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   1'(2(0(1(1(0(2(0(1(2(z0)))))))))) -> c53(2'(0(2(0(0(1(1(1(1(2(z0)))))))))), 0'(2(0(0(1(1(1(1(2(z0))))))))), 2'(0(0(1(1(1(1(2(z0)))))))), 0'(0(1(1(1(1(2(z0))))))), 0'(1(1(1(1(2(z0)))))), 1'(1(1(1(2(z0))))), 1'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(0(0(1(0(1(1(0(2(0(2(1(0(1(z0)))))))))))))) -> c54(1'(0(2(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))))), 0'(2(1(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))))), 2'(1(2(0(0(0(2(0(2(1(0(1(1(z0))))))))))))), 1'(2(0(0(0(2(0(2(1(0(1(1(z0)))))))))))), 2'(0(0(0(2(0(2(1(0(1(1(z0))))))))))), 0'(0(0(2(0(2(1(0(1(1(z0)))))))))), 0'(0(2(0(2(1(0(1(1(z0))))))))), 0'(2(0(2(1(0(1(1(z0)))))))), 2'(0(2(1(0(1(1(z0))))))), 0'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(1(1(0(1(0(2(1(1(2(0(0(0(2(0(0(1(2(2(0(1(0(2(2(1(1(1(2(2(0(1(1(1(0(1(1(0(1(2(2(1(1(1(2(1(0(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> c80(0'(2(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))))), 2'(0(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(1(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))))), 1'(2(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))))), 2'(0(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))))), 0'(2(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))))), 2'(0(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))))), 0'(0(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))))), 0'(2(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))))), 2'(0(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))))), 0'(1(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))))), 1'(2(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))))), 2'(1(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))))), 1'(2(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))))), 2'(0(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))))), 0'(1(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))))), 1'(0(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))))), 0'(2(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))))), 0'(1(2(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))))), 1'(2(0(2(2(2(1(2(2(2(1(0(2(z0))))))))))))), 2'(0(2(2(2(1(2(2(2(1(0(2(z0)))))))))))), 0'(2(2(2(1(2(2(2(1(0(2(z0))))))))))), 2'(2(2(1(2(2(2(1(0(2(z0)))))))))), 2'(2(1(2(2(2(1(0(2(z0))))))))), 2'(1(2(2(2(1(0(2(z0)))))))), 1'(2(2(2(1(0(2(z0))))))), 2'(2(2(1(0(2(z0)))))), 2'(2(1(0(2(z0))))), 2'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(1(2(1(2(0(2(1(1(2(2(2(2(1(1(2(0(1(1(0(2(2(2(2(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))) -> c16(0'(2(z0)), 2'(z0))
   2'(2(1(1(2(1(0(2(0(1(2(2(2(0(1(0(0(2(1(2(0(2(1(z0))))))))))))))))))))))) -> c34(0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(0(2(1(1(0(1(2(0(0(1(1(1(1(0(2(1(2(0(1(0(1(2(2(0(1(2(1(0(0(2(0(1(2(2(1(0(0(2(1(1(2(0(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c50(0'(2(1(2(2(1(z0)))))), 2'(1(2(2(1(z0))))), 1'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(2(0(0(0(1(1(2(0(1(1(0(0(2(2(0(2(0(2(1(1(1(2(2(0(0(0(0(1(0(2(0(0(2(0(1(2(0(2(2(2(0(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> c51(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(1(2(0(1(1(2(0(2(1(1(1(2(2(1(1(2(0(1(0(0(z0))))))))))))))))))))) -> c57(0'(0(z0)), 0'(z0))
   1'(2(1(1(2(1(1(1(1(1(0(2(2(2(2(2(1(2(1(1(0(1(2(0(1(0(0(0(z0)))))))))))))))))))))))))))) -> c63(0'(0(z0)), 0'(z0))
   1'(2(2(2(1(2(1(1(0(0(1(1(2(1(2(2(1(1(2(2(2(0(1(1(1(2(2(2(1(z0))))))))))))))))))))))))))))) -> c64(2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 2_1, 1_1

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

Compound Symbols:   c1_2, c2_2, c6_5, c7_15, c8_24, c9_27, c10_29, c12_34, c13_30, c14_33, c15_39, c17_39, c18_38, c19_42, c20_40, c21_42, c22_48, c24_43, c25_44, c26_45, c27_48, c28_47, c29_48, c30_8, c32_17, c33_24, c35_26, c36_27, c38_33, c39_34, c40_39, c41_36, c43_41, c44_42, c45_43, c46_44, c48_47, c49_49, c52_10, c53_10, c54_15, c55_15, c56_19, c59_27, c60_31, c61_32, c62_31, c65_32, c66_36, c68_35, c70_36, c71_43, c72_43, c73_45, c74_44, c75_44, c76_46, c77_48, c78_49, c80_50, c16_2, c34_3, c50_6, c51_3, c57_2, c63_2, c64_3, c11_1, c_2