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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 57 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 2222 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 47 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 16 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 5563 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 15 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 13 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 41 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 2530 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 21 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 16.9 s]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5393 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5400 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 14.1 s]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 23.2 s]
        (54) CdtProblem


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

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


The TRS R consists of the following rules:

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

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

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

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


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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(0(0(0(0(1(0(1(0(1(1(0(1(0(1(0(1(0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(0(0(0(1(1(1(1(1(1(0(0(x1))))))))))))))))))))
0(0(0(0(0(0(0(1(1(0(1(0(1(0(0(1(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(0(0(0(0(0(1(0(1(0(1(0(1(1(0(1(0(0(x1))))))))))))))))))))
0(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(1(1(0(x1)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(x1))))))))))))))))))))
0(0(0(0(0(1(1(0(1(1(1(1(0(1(0(0(0(0(1(0(x1)))))))))))))))))))) -> 0(1(1(1(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(x1))))))))))))))))))))
0(0(0(0(1(0(0(0(0(0(1(1(1(1(0(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(0(0(1(0(x1))))))))))))))))))))
0(0(0(0(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(0(x1)))))))))))))))))))) -> 0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(0(x1))))))))))))))))))))
0(0(0(0(1(0(1(0(1(1(1(0(0(0(1(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(1(0(1(1(1(x1))))))))))))))))))))
0(0(0(0(1(1(0(0(1(0(1(1(1(1(0(0(0(1(1(1(x1)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(x1))))))))))))))))))))
0(0(0(1(0(0(0(0(1(1(1(0(0(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(1(1(1(0(0(0(1(0(1(0(0(0(0(0(0(0(0(0(0(x1))))))))))))))))))))
0(0(0(1(0(0(0(1(0(0(0(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))) -> 0(0(1(1(1(1(0(0(1(0(0(0(0(0(0(0(0(0(1(1(x1))))))))))))))))))))
0(0(0(1(0(0(0(1(0(1(0(0(0(1(0(0(1(0(1(0(x1)))))))))))))))))))) -> 0(1(1(0(0(1(0(0(1(0(0(0(0(0(0(0(1(1(1(0(x1))))))))))))))))))))
0(0(0(1(0(0(0(1(1(1(0(1(1(1(0(0(0(0(0(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(x1))))))))))))))))))))
0(0(0(1(0(1(0(0(0(0(1(0(0(1(1(0(1(0(1(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(1(1(1(1(0(x1))))))))))))))))))))
0(0(0(1(0(1(0(0(1(1(0(0(1(1(0(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(1(0(0(1(x1))))))))))))))))))))
0(0(0(1(0(1(0(1(0(1(1(1(0(1(0(0(0(1(0(1(x1)))))))))))))))))))) -> 0(0(1(0(1(1(1(1(0(0(1(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))
0(0(0(1(0(1(1(1(0(0(0(1(0(1(1(1(0(1(1(0(x1)))))))))))))))))))) -> 0(1(1(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(1(x1))))))))))))))))))))
0(0(0(1(1(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(0(1(0(0(0(0(0(1(1(0(0(0(1(x1))))))))))))))))))))
0(0(0(1(1(0(1(1(0(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(0(1(1(0(1(1(0(0(0(0(1(1(0(0(0(0(1(0(x1))))))))))))))))))))
0(0(0(1(1(0(1(1(1(0(1(0(0(0(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(1(0(0(1(1(x1))))))))))))))))))))
0(0(0(1(1(1(0(1(0(0(1(0(1(1(1(1(1(1(0(1(x1)))))))))))))))))))) -> 1(0(0(1(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(x1))))))))))))))))))))
0(0(0(1(1(1(0(1(1(0(0(1(1(0(0(0(1(1(1(1(x1)))))))))))))))))))) -> 1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(0(1(0(0(x1))))))))))))))))))))
0(0(1(0(0(0(0(1(0(1(1(1(0(0(1(0(1(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(0(1(1(1(1(0(1(0(0(0(0(x1))))))))))))))))))))
0(0(1(0(0(0(0(1(1(0(0(1(1(1(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(0(0(0(0(x1))))))))))))))))))))
0(0(1(0(0(0(1(1(0(0(0(1(0(0(1(0(1(0(0(1(x1)))))))))))))))))))) -> 0(1(1(0(0(0(0(0(1(1(0(0(0(0(0(1(0(1(0(1(x1))))))))))))))))))))
0(0(1(0(0(0(1(1(1(1(1(1(0(0(0(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(1(0(0(1(1(1(0(0(1(1(0(1(0(1(0(0(0(0(x1))))))))))))))))))))
0(0(1(0(0(1(0(0(1(0(0(0(0(1(1(0(0(0(1(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(0(0(0(1(x1))))))))))))))))))))
0(0(1(0(0(1(0(0(1(0(1(1(1(1(1(0(0(0(1(0(x1)))))))))))))))))))) -> 1(1(1(0(0(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(x1))))))))))))))))))))
0(0(1(0(0(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(0(0(0(1(0(1(1(0(0(1(0(x1))))))))))))))))))))
0(0(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(1(1(0(x1)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(0(0(0(1(0(1(1(1(0(1(0(0(x1))))))))))))))))))))
0(0(1(0(0(1(1(1(0(0(0(1(0(1(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(1(0(1(1(1(0(0(x1))))))))))))))))))))
0(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(x1))))))))))))))))))))
0(0(1(0(1(0(0(1(0(1(0(1(0(1(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(1(1(0(0(1(1(1(0(0(0(0(1(0(1(1(1(x1))))))))))))))))))))
0(0(1(0(1(1(0(0(0(1(0(1(0(1(0(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(x1))))))))))))))))))))
0(0(1(0(1(1(0(1(0(1(0(1(1(1(0(0(0(1(1(1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(0(1(0(0(1(1(0(0(1(1(1(0(1(0(x1))))))))))))))))))))
0(0(1(0(1(1(1(0(0(0(0(0(1(0(1(0(1(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(x1))))))))))))))))))))
0(0(1(0(1(1(1(0(0(1(1(0(0(0(0(1(0(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(1(1(1(0(0(0(0(0(1(1(1(0(0(0(0(0(x1))))))))))))))))))))
0(0(1(0(1(1(1(1(0(1(1(0(0(0(0(1(0(0(0(0(x1)))))))))))))))))))) -> 0(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(1(0(0(x1))))))))))))))))))))
0(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(0(0(0(1(0(0(0(1(1(0(1(0(x1))))))))))))))))))))
0(0(1(1(0(0(0(0(1(0(1(0(0(1(0(1(1(0(0(1(x1)))))))))))))))))))) -> 0(0(1(1(1(1(1(0(0(0(0(0(0(1(1(0(0(0(1(0(x1))))))))))))))))))))
0(0(1(1(0(0(0(1(0(1(0(0(0(0(0(1(1(0(0(1(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(1(1(1(x1))))))))))))))))))))
0(0(1(1(0(0(1(1(0(0(1(1(1(0(0(0(0(1(1(1(x1)))))))))))))))))))) -> 0(0(0(1(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(x1))))))))))))))))))))
0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(1(1(1(x1)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(x1))))))))))))))))))))
0(0(1(1(0(1(0(1(1(1(0(0(0(0(0(0(1(0(1(0(x1)))))))))))))))))))) -> 0(1(1(0(0(1(0(0(1(0(0(0(0(0(0(0(1(1(0(1(x1))))))))))))))))))))
0(0(1(1(1(0(0(0(0(1(0(1(1(0(1(0(1(0(0(1(x1)))))))))))))))))))) -> 0(1(0(0(0(0(1(1(1(0(1(1(1(0(0(1(0(0(0(1(x1))))))))))))))))))))
0(0(1(1(1(0(0(0(1(0(0(1(0(1(1(1(1(1(0(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(x1))))))))))))))))))))
0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(0(0(0(0(0(0(1(1(0(0(1(1(0(0(x1))))))))))))))))))))
0(0(1(1(1(0(0(1(1(0(0(0(1(0(1(1(1(0(0(0(x1)))))))))))))))))))) -> 1(0(0(0(0(1(0(0(0(1(1(0(0(0(1(0(1(0(0(0(x1))))))))))))))))))))
0(0(1(1(1(0(1(1(1(0(0(1(0(1(1(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(1(1(0(1(1(0(1(1(1(1(1(x1))))))))))))))))))))
0(0(1(1(1(1(0(0(1(0(1(0(1(1(0(0(0(0(1(0(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(1(1(1(0(1(1(0(1(0(1(1(0(x1))))))))))))))))))))
0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(0(1(1(1(0(x1)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(1(1(1(1(0(0(0(0(0(0(1(0(x1))))))))))))))))))))
0(0(1(1(1(1(1(0(1(1(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))
0(0(1(1(1(1(1(1(0(0(0(1(1(1(0(1(0(1(1(0(x1)))))))))))))))))))) -> 1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(x1))))))))))))))))))))
0(1(0(0(0(0(0(1(0(0(0(1(0(0(1(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(0(0(1(1(1(1(0(1(1(0(0(x1))))))))))))))))))))
0(1(0(0(0(0(1(1(1(0(0(1(1(1(1(1(1(0(0(1(x1)))))))))))))))))))) -> 1(0(0(0(1(0(1(0(1(0(0(1(1(0(0(0(0(0(1(1(x1))))))))))))))))))))
0(1(0(0(0(1(0(1(0(0(1(0(0(0(0(0(1(1(0(1(x1)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(x1))))))))))))))))))))
0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(x1)))))))))))))))))))) -> 1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(x1))))))))))))))))))))
0(1(0(0(0(1(1(0(1(0(0(1(0(0(1(0(1(0(0(0(x1)))))))))))))))))))) -> 0(0(1(0(0(1(1(1(0(0(1(0(0(1(0(0(0(1(0(0(x1))))))))))))))))))))
0(1(0(0(0(1(1(0(1(0(1(0(0(1(0(1(1(0(0(0(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(1(1(0(1(0(0(1(1(1(0(0(x1))))))))))))))))))))
0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(0(0(1(0(0(0(0(0(1(0(0(x1))))))))))))))))))))
0(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(0(1(1(x1)))))))))))))))))))) -> 0(1(0(0(1(0(1(0(0(0(0(1(1(1(1(0(0(1(1(1(x1))))))))))))))))))))
0(1(0(0(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(1(1(1(1(x1))))))))))))))))))))
0(1(0(0(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(x1)))))))))))))))))))) -> 0(1(0(0(1(0(0(1(1(0(1(0(0(0(0(0(1(1(0(0(x1))))))))))))))))))))
0(1(0(1(0(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(x1)))))))))))))))))))) -> 0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(x1))))))))))))))))))))
0(1(0(1(1(0(0(0(1(1(1(1(0(0(0(0(0(0(1(0(x1)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(1(x1))))))))))))))))))))
0(1(0(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(0(0(0(0(x1))))))))))))))))))))
0(1(0(1(1(1(0(0(1(1(0(1(1(1(0(1(1(0(1(0(x1)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(1(x1))))))))))))))))))))
0(1(0(1(1(1(1(1(1(0(0(0(1(1(1(0(0(1(0(1(x1)))))))))))))))))))) -> 0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(0(0(1(1(0(x1))))))))))))))))))))
0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(0(0(1(1(0(1(1(0(1(1(1(x1))))))))))))))))))))
0(1(1(0(1(0(0(0(1(0(0(1(1(1(0(0(0(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(1(1(0(0(1(0(0(0(1(0(1(0(0(1(0(0(x1))))))))))))))))))))
0(1(1(0(1(0(1(1(0(1(0(1(0(0(0(1(0(1(0(1(x1)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(0(1(x1))))))))))))))))))))
0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(1(1(1(1(0(1(1(1(0(0(0(1(0(0(1(0(x1))))))))))))))))))))
0(1(1(1(0(0(1(0(0(0(1(0(0(0(1(0(1(1(0(1(x1)))))))))))))))))))) -> 1(1(0(0(0(0(0(0(1(0(1(0(1(0(0(0(0(1(0(0(x1))))))))))))))))))))
0(1(1(1(1(0(0(0(1(0(0(0(0(0(0(1(0(1(0(1(x1)))))))))))))))))))) -> 0(0(0(0(0(0(1(0(1(0(1(0(0(0(1(0(1(1(0(1(x1))))))))))))))))))))
0(1(1(1(1(0(0(0(1(0(1(0(0(0(0(1(1(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(0(x1))))))))))))))))))))
0(1(1(1(1(1(0(1(0(0(0(0(1(1(0(0(1(0(1(0(x1)))))))))))))))))))) -> 1(1(0(0(0(1(1(0(0(0(1(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))
1(0(0(0(0(0(1(0(1(0(0(0(0(1(1(1(1(1(1(0(x1)))))))))))))))))))) -> 1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(0(0(1(x1))))))))))))))))))))
1(0(0(0(1(0(1(1(1(0(1(1(0(1(0(1(1(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(1(1(1(0(0(0(1(1(1(0(0(0(x1))))))))))))))))))))
1(0(0(0(1(1(0(0(0(0(1(0(0(1(0(1(1(0(1(1(x1)))))))))))))))))))) -> 1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(x1))))))))))))))))))))
1(0(0(0(1(1(1(1(1(0(0(1(0(0(1(0(0(0(1(1(x1)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(x1))))))))))))))))))))
1(0(0(1(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(x1)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(x1))))))))))))))))))))
1(0(0(1(1(0(1(1(0(0(0(1(1(0(1(0(0(1(1(0(x1)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(x1))))))))))))))))))))
1(0(0(1(1(0(1(1(0(1(0(0(1(0(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(1(1(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(x1))))))))))))))))))))
1(0(1(0(0(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(x1)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))
1(0(1(0(0(1(0(0(0(1(0(0(1(0(0(1(1(1(0(0(x1)))))))))))))))))))) -> 0(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(0(x1))))))))))))))))))))
1(0(1(0(0(1(1(1(0(0(1(1(0(1(1(0(0(0(1(0(x1)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(x1))))))))))))))))))))
1(0(1(0(1(1(0(0(1(0(0(1(1(0(0(1(1(1(0(1(x1)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(x1))))))))))))))))))))
1(0(1(0(1(1(1(1(0(0(0(0(0(1(0(1(0(0(1(1(x1)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(x1))))))))))))))))))))
1(0(1(1(0(1(0(1(1(0(0(1(1(0(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(x1))))))))))))))))))))
1(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(x1)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
1(1(0(0(1(0(0(0(0(0(1(1(1(1(1(0(0(1(0(0(x1)))))))))))))))))))) -> 1(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(x1))))))))))))))))))))
1(1(0(1(0(0(1(0(0(1(1(1(0(0(1(1(1(0(0(1(x1)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(x1))))))))))))))))))))
1(1(0(1(1(1(0(0(1(1(1(0(1(0(1(1(1(1(0(0(x1)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(x1))))))))))))))))))))
1(1(0(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(1(0(x1)))))))))))))))))))) -> 0(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(x1))))))))))))))))))))
1(1(0(1(1(1(1(1(1(0(1(1(0(0(0(0(0(1(1(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(x1))))))))))))))))))))
1(1(1(0(0(0(1(1(0(1(1(1(1(0(0(1(1(1(0(1(x1)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(x1))))))))))))))))))))
1(1(1(0(0(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(x1)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(x1))))))))))))))))))))
1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(1(0(1(1(0(x1)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(x1))))))))))))))))))))
1(1(1(0(0(1(0(1(0(0(0(1(0(1(1(1(0(0(0(1(x1)))))))))))))))))))) -> 0(1(1(1(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(1(x1))))))))))))))))))))
1(1(1(0(1(1(0(0(0(0(0(0(1(1(0(1(0(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(x1))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(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))

Types:
0 :: 0:1:encArg:encode_0:encode_1 -> 0:1:encArg:encode_0:encode_1
1 :: 0:1:encArg:encode_0:encode_1 -> 0:1:encArg:encode_0:encode_1
encArg :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1
cons_0 :: cons_0:cons_1 -> cons_0:cons_1
cons_1 :: cons_0:cons_1 -> cons_0:cons_1
encode_0 :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1
encode_1 :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1
hole_0:1:encArg:encode_0:encode_11_2 :: 0:1:encArg:encode_0:encode_1
hole_cons_0:cons_12_2 :: cons_0:cons_1
gen_cons_0:cons_13_2 :: Nat -> cons_0:cons_1

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

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

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

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

(12)
Obligation:
TRS:
Rules:
0(0(0(0(0(0(0(1(0(1(0(1(1(0(1(0(1(0(1(0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(0(0(0(1(1(1(1(1(1(0(0(x1))))))))))))))))))))
0(0(0(0(0(0(0(1(1(0(1(0(1(0(0(1(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(0(0(0(0(0(1(0(1(0(1(0(1(1(0(1(0(0(x1))))))))))))))))))))
0(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(1(1(0(x1)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(x1))))))))))))))))))))
0(0(0(0(0(1(1(0(1(1(1(1(0(1(0(0(0(0(1(0(x1)))))))))))))))))))) -> 0(1(1(1(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(x1))))))))))))))))))))
0(0(0(0(1(0(0(0(0(0(1(1(1(1(0(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(0(0(1(0(x1))))))))))))))))))))
0(0(0(0(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(0(x1)))))))))))))))))))) -> 0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(0(x1))))))))))))))))))))
0(0(0(0(1(0(1(0(1(1(1(0(0(0(1(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(1(0(1(1(1(x1))))))))))))))))))))
0(0(0(0(1(1(0(0(1(0(1(1(1(1(0(0(0(1(1(1(x1)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(x1))))))))))))))))))))
0(0(0(1(0(0(0(0(1(1(1(0(0(0(1(1(0(1(1(0(x1)))))))))))))))))))) -> 1(1(1(1(0(0(0(1(0(1(0(0(0(0(0(0(0(0(0(0(x1))))))))))))))))))))
0(0(0(1(0(0(0(1(0(0(0(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))) -> 0(0(1(1(1(1(0(0(1(0(0(0(0(0(0(0(0(0(1(1(x1))))))))))))))))))))
0(0(0(1(0(0(0(1(0(1(0(0(0(1(0(0(1(0(1(0(x1)))))))))))))))))))) -> 0(1(1(0(0(1(0(0(1(0(0(0(0(0(0(0(1(1(1(0(x1))))))))))))))))))))
0(0(0(1(0(0(0(1(1(1(0(1(1(1(0(0(0(0(0(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(x1))))))))))))))))))))
0(0(0(1(0(1(0(0(0(0(1(0(0(1(1(0(1(0(1(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(0(0(0(0(1(0(1(1(1(1(1(0(x1))))))))))))))))))))
0(0(0(1(0(1(0(0(1(1(0(0(1(1(0(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(1(0(0(1(x1))))))))))))))))))))
0(0(0(1(0(1(0(1(0(1(1(1(0(1(0(0(0(1(0(1(x1)))))))))))))))))))) -> 0(0(1(0(1(1(1(1(0(0(1(1(1(0(0(0(1(0(0(1(x1))))))))))))))))))))
0(0(0(1(0(1(1(1(0(0(0(1(0(1(1(1(0(1(1(0(x1)))))))))))))))))))) -> 0(1(1(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(1(x1))))))))))))))))))))
0(0(0(1(1(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(0(1(0(0(0(0(0(1(1(0(0(0(1(x1))))))))))))))))))))
0(0(0(1(1(0(1(1(0(1(0(0(0(1(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(0(1(1(0(1(1(0(0(0(0(1(1(0(0(0(0(1(0(x1))))))))))))))))))))
0(0(0(1(1(0(1(1(1(0(1(0(0(0(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(1(0(0(1(1(x1))))))))))))))))))))
0(0(0(1(1(1(0(1(0(0(1(0(1(1(1(1(1(1(0(1(x1)))))))))))))))))))) -> 1(0(0(1(0(0(1(0(1(0(0(0(0(1(0(1(1(0(1(1(x1))))))))))))))))))))
0(0(0(1(1(1(0(1(1(0(0(1(1(0(0(0(1(1(1(1(x1)))))))))))))))))))) -> 1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(0(1(0(0(x1))))))))))))))))))))
0(0(1(0(0(0(0(1(0(1(1(1(0(0(1(0(1(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(0(1(1(1(1(0(1(0(0(0(0(x1))))))))))))))))))))
0(0(1(0(0(0(0(1(1(0(0(1(1(1(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(0(0(0(0(x1))))))))))))))))))))
0(0(1(0(0(0(1(1(0(0(0(1(0(0(1(0(1(0(0(1(x1)))))))))))))))))))) -> 0(1(1(0(0(0(0(0(1(1(0(0(0(0(0(1(0(1(0(1(x1))))))))))))))))))))
0(0(1(0(0(0(1(1(1(1(1(1(0(0(0(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(1(0(0(1(1(1(0(0(1(1(0(1(0(1(0(0(0(0(x1))))))))))))))))))))
0(0(1(0(0(1(0(0(1(0(0(0(0(1(1(0(0(0(1(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(0(0(0(1(x1))))))))))))))))))))
0(0(1(0(0(1(0(0(1(0(1(1(1(1(1(0(0(0(1(0(x1)))))))))))))))))))) -> 1(1(1(0(0(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(x1))))))))))))))))))))
0(0(1(0(0(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(0(1(0(0(1(0(0(0(1(0(1(1(0(0(1(0(x1))))))))))))))))))))
0(0(1(0(0(1(1(0(1(0(1(1(1(0(0(0(1(1(1(0(x1)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(0(0(0(1(0(1(1(1(0(1(0(0(x1))))))))))))))))))))
0(0(1(0(0(1(1(1(0(0(0(1(0(1(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(1(0(1(1(1(0(0(x1))))))))))))))))))))
0(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(0(0(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(x1))))))))))))))))))))
0(0(1(0(1(0(0(1(0(1(0(1(0(1(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(0(1(1(0(0(1(1(1(0(0(0(0(1(0(1(1(1(x1))))))))))))))))))))
0(0(1(0(1(1(0(0(0(1(0(1(0(1(0(0(1(0(1(1(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(x1))))))))))))))))))))
0(0(1(0(1(1(0(1(0(1(0(1(1(1(0(0(0(1(1(1(x1)))))))))))))))))))) -> 0(0(1(1(1(0(0(1(0(0(1(1(0(0(1(1(1(0(1(0(x1))))))))))))))))))))
0(0(1(0(1(1(1(0(0(0(0(0(1(0(1(0(1(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(x1))))))))))))))))))))
0(0(1(0(1(1(1(0(0(1(1(0(0(0(0(1(0(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(1(1(1(0(0(0(0(0(1(1(1(0(0(0(0(0(x1))))))))))))))))))))
0(0(1(0(1(1(1(1(0(1(1(0(0(0(0(1(0(0(0(0(x1)))))))))))))))))))) -> 0(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(1(0(0(x1))))))))))))))))))))
0(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(0(1(0(0(x1)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(0(0(0(1(0(0(0(1(1(0(1(0(x1))))))))))))))))))))
0(0(1(1(0(0(0(0(1(0(1(0(0(1(0(1(1(0(0(1(x1)))))))))))))))))))) -> 0(0(1(1(1(1(1(0(0(0(0(0(0(1(1(0(0(0(1(0(x1))))))))))))))))))))
0(0(1(1(0(0(0(1(0(1(0(0(0(0(0(1(1(0(0(1(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(1(1(1(x1))))))))))))))))))))
0(0(1(1(0(0(1(1(0(0(1(1(1(0(0(0(0(1(1(1(x1)))))))))))))))))))) -> 0(0(0(1(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(x1))))))))))))))))))))
0(0(1(1(0(1(0(0(0(1(0(0(1(1(1(1(1(1(1(1(x1)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(x1))))))))))))))))))))
0(0(1(1(0(1(0(1(1(1(0(0(0(0(0(0(1(0(1(0(x1)))))))))))))))))))) -> 0(1(1(0(0(1(0(0(1(0(0(0(0(0(0(0(1(1(0(1(x1))))))))))))))))))))
0(0(1(1(1(0(0(0(0(1(0(1(1(0(1(0(1(0(0(1(x1)))))))))))))))))))) -> 0(1(0(0(0(0(1(1(1(0(1(1(1(0(0(1(0(0(0(1(x1))))))))))))))))))))
0(0(1(1(1(0(0(0(1(0(0(1(0(1(1(1(1(1(0(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(x1))))))))))))))))))))
0(0(1(1(1(0(0(1(0(1(0(0(0(1(0(0(0(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(1(0(0(0(0(0(0(0(1(1(0(0(1(1(0(0(x1))))))))))))))))))))
0(0(1(1(1(0(0(1(1(0(0(0(1(0(1(1(1(0(0(0(x1)))))))))))))))))))) -> 1(0(0(0(0(1(0(0(0(1(1(0(0(0(1(0(1(0(0(0(x1))))))))))))))))))))
0(0(1(1(1(0(1(1(1(0(0(1(0(1(1(1(1(1(0(1(x1)))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(1(1(0(1(1(0(1(1(1(1(1(x1))))))))))))))))))))
0(0(1(1(1(1(0(0(1(0(1(0(1(1(0(0(0(0(1(0(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(1(1(1(0(1(1(0(1(0(1(1(0(x1))))))))))))))))))))
0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(0(1(1(1(0(x1)))))))))))))))))))) -> 0(1(1(1(1(0(1(1(1(1(1(1(0(0(0(0(0(0(1(0(x1))))))))))))))))))))
0(0(1(1(1(1(1(0(1(1(0(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))
0(0(1(1(1(1(1(1(0(0(0(1(1(1(0(1(0(1(1(0(x1)))))))))))))))))))) -> 1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(x1))))))))))))))))))))
0(1(0(0(0(0(0(1(0(0(0(1(0(0(1(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(0(0(1(1(1(1(0(1(1(0(0(x1))))))))))))))))))))
0(1(0(0(0(0(1(1(1(0(0(1(1(1(1(1(1(0(0(1(x1)))))))))))))))))))) -> 1(0(0(0(1(0(1(0(1(0(0(1(1(0(0(0(0(0(1(1(x1))))))))))))))))))))
0(1(0(0(0(1(0(1(0(0(1(0(0(0(0(0(1(1(0(1(x1)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(0(0(0(1(1(0(1(0(1(0(1(x1))))))))))))))))))))
0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(1(1(1(1(0(x1)))))))))))))))))))) -> 1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(x1))))))))))))))))))))
0(1(0(0(0(1(1(0(1(0(0(1(0(0(1(0(1(0(0(0(x1)))))))))))))))))))) -> 0(0(1(0(0(1(1(1(0(0(1(0(0(1(0(0(0(1(0(0(x1))))))))))))))))))))
0(1(0(0(0(1(1(0(1(0(1(0(0(1(0(1(1(0(0(0(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(1(1(0(1(0(0(1(1(1(0(0(x1))))))))))))))))))))
0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(1(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(0(0(1(0(0(0(0(0(1(0(0(x1))))))))))))))))))))
0(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(0(1(1(x1)))))))))))))))))))) -> 0(1(0(0(1(0(1(0(0(0(0(1(1(1(1(0(0(1(1(1(x1))))))))))))))))))))
0(1(0(0(1(0(1(1(0(0(1(1(1(0(0(0(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(1(1(1(1(x1))))))))))))))))))))
0(1(0(0(1(1(1(0(0(1(1(1(0(0(0(0(1(0(0(1(x1)))))))))))))))))))) -> 0(1(0(0(1(0(0(1(1(0(1(0(0(0(0(0(1(1(0(0(x1))))))))))))))))))))
0(1(0(1(0(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(x1)))))))))))))))))))) -> 0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(x1))))))))))))))))))))
0(1(0(1(1(0(0(0(1(1(1(1(0(0(0(0(0(0(1(0(x1)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(1(x1))))))))))))))))))))
0(1(0(1(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(0(0(0(0(x1))))))))))))))))))))
0(1(0(1(1(1(0(0(1(1(0(1(1(1(0(1(1(0(1(0(x1)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(1(x1))))))))))))))))))))
0(1(0(1(1(1(1(1(1(0(0(0(1(1(1(0(0(1(0(1(x1)))))))))))))))))))) -> 0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(0(0(1(1(0(x1))))))))))))))))))))
0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(0(0(1(1(0(1(1(0(1(1(1(x1))))))))))))))))))))
0(1(1(0(1(0(0(0(1(0(0(1(1(1(0(0(0(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(1(1(0(0(1(0(0(0(1(0(1(0(0(1(0(0(x1))))))))))))))))))))
0(1(1(0(1(0(1(1(0(1(0(1(0(0(0(1(0(1(0(1(x1)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(0(1(x1))))))))))))))))))))
0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(0(0(0(1(1(x1)))))))))))))))))))) -> 0(0(0(1(1(1(1(1(0(1(1(1(0(0(0(1(0(0(1(0(x1))))))))))))))))))))
0(1(1(1(0(0(1(0(0(0(1(0(0(0(1(0(1(1(0(1(x1)))))))))))))))))))) -> 1(1(0(0(0(0(0(0(1(0(1(0(1(0(0(0(0(1(0(0(x1))))))))))))))))))))
0(1(1(1(1(0(0(0(1(0(0(0(0(0(0(1(0(1(0(1(x1)))))))))))))))))))) -> 0(0(0(0(0(0(1(0(1(0(1(0(0(0(1(0(1(1(0(1(x1))))))))))))))))))))
0(1(1(1(1(0(0(0(1(0(1(0(0(0(0(1(1(0(0(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(0(x1))))))))))))))))))))
0(1(1(1(1(1(0(1(0(0(0(0(1(1(0(0(1(0(1(0(x1)))))))))))))))))))) -> 1(1(0(0(0(1(1(0(0(0(1(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))
1(0(0(0(0(0(1(0(1(0(0(0(0(1(1(1(1(1(1(0(x1)))))))))))))))))))) -> 1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(0(0(1(x1))))))))))))))))))))
1(0(0(0(1(0(1(1(1(0(1(1(0(1(0(1(1(0(0(0(x1)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(1(1(1(0(0(0(1(1(1(0(0(0(x1))))))))))))))))))))
1(0(0(0(1(1(0(0(0(0(1(0(0(1(0(1(1(0(1(1(x1)))))))))))))))))))) -> 1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(x1))))))))))))))))))))
1(0(0(0(1(1(1(1(1(0(0(1(0(0(1(0(0(0(1(1(x1)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(x1))))))))))))))))))))
1(0(0(1(1(0(0(1(0(1(0(1(0(0(1(1(1(1(1(0(x1)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(x1))))))))))))))))))))
1(0(0(1(1(0(1(1(0(0(0(1(1(0(1(0(0(1(1(0(x1)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(x1))))))))))))))))))))
1(0(0(1(1(0(1(1(0(1(0(0(1(0(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(1(1(1(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(x1))))))))))))))))))))
1(0(1(0(0(0(1(0(0(1(0(0(0(1(0(0(0(1(0(0(x1)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))
1(0(1(0(0(1(0(0(0(1(0(0(1(0(0(1(1(1(0(0(x1)))))))))))))))))))) -> 0(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(0(x1))))))))))))))))))))
1(0(1(0(0(1(1(1(0(0(1(1(0(1(1(0(0(0(1(0(x1)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(x1))))))))))))))))))))
1(0(1(0(1(1(0(0(1(0(0(1(1(0(0(1(1(1(0(1(x1)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(x1))))))))))))))))))))
1(0(1(0(1(1(1(1(0(0(0(0(0(1(0(1(0(0(1(1(x1)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(x1))))))))))))))))))))
1(0(1(1(0(1(0(1(1(0(0(1(1(0(0(1(0(1(0(0(x1)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(x1))))))))))))))))))))
1(1(0(0(0(1(0(0(0(1(0(0(0(0(1(0(1(1(0(1(x1)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(x1))))))))))))))))))))
1(1(0(0(1(0(0(0(0(0(1(1(1(1(1(0(0(1(0(0(x1)))))))))))))))))))) -> 1(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(x1))))))))))))))))))))
1(1(0(1(0(0(1(0(0(1(1(1(0(0(1(1(1(0(0(1(x1)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(x1))))))))))))))))))))
1(1(0(1(1(1(0(0(1(1(1(0(1(0(1(1(1(1(0(0(x1)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(x1))))))))))))))))))))
1(1(0(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(1(0(x1)))))))))))))))))))) -> 0(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(x1))))))))))))))))))))
1(1(0(1(1(1(1(1(1(0(1(1(0(0(0(0(0(1(1(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(x1))))))))))))))))))))
1(1(1(0(0(0(1(1(0(1(1(1(1(0(0(1(1(1(0(1(x1)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(x1))))))))))))))))))))
1(1(1(0(0(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(x1)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(x1))))))))))))))))))))
1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(1(0(1(1(0(x1)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(x1))))))))))))))))))))
1(1(1(0(0(1(0(1(0(0(0(1(0(1(1(1(0(0(0(1(x1)))))))))))))))))))) -> 0(1(1(1(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(1(x1))))))))))))))))))))
1(1(1(0(1(1(0(0(0(0(0(0(1(1(0(1(0(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(x1))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(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))

Types:
0 :: 0:1:encArg:encode_0:encode_1 -> 0:1:encArg:encode_0:encode_1
1 :: 0:1:encArg:encode_0:encode_1 -> 0:1:encArg:encode_0:encode_1
encArg :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1
cons_0 :: cons_0:cons_1 -> cons_0:cons_1
cons_1 :: cons_0:cons_1 -> cons_0:cons_1
encode_0 :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1
encode_1 :: cons_0:cons_1 -> 0:1:encArg:encode_0:encode_1
hole_0:1:encArg:encode_0:encode_11_2 :: 0:1:encArg:encode_0:encode_1
hole_cons_0:cons_12_2 :: cons_0:cons_1
gen_cons_0:cons_13_2 :: Nat -> cons_0:cons_1


Generator Equations:
gen_cons_0:cons_13_2(0) <=> hole_cons_0:cons_12_2
gen_cons_0:cons_13_2(+(x, 1)) <=> cons_0(gen_cons_0:cons_13_2(x))


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

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

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

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

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


The TRS R consists of the following rules:

   0(0(0(0(0(0(0(1(0(1(0(1(1(0(1(0(1(0(1(0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(0(0(0(1(1(1(1(1(1(0(0(x1))))))))))))))))))))
   0(0(0(0(0(0(0(1(1(0(1(0(1(0(0(1(1(1(0(0(x1)))))))))))))))))))) -> 0(0(0(0(0(0(0(0(1(0(1(0(1(0(1(1(0(1(0(0(x1))))))))))))))))))))
   0(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(1(1(0(x1)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(x1))))))))))))))))))))
   0(0(0(0(0(1(1(0(1(1(1(1(0(1(0(0(0(0(1(0(x1)))))))))))))))))))) -> 0(1(1(1(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(x1))))))))))))))))))))
   0(0(0(0(1(0(0(0(0(0(1(1(1(1(0(0(1(1(1(1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(0(0(1(0(x1))))))))))))))))))))
   0(0(0(0(1(0(1(0(1(0(1(1(1(1(1(0(1(0(0(0(x1)))))))))))))))))))) -> 0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(0(x1))))))))))))))))))))
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   0(0(0(0(1(1(0(0(1(0(1(1(1(1(0(0(0(1(1(1(x1)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(x1))))))))))))))))))))
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   1(1(0(0(1(0(0(0(0(0(1(1(1(1(1(0(0(1(0(0(x1)))))))))))))))))))) -> 1(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(x1))))))))))))))))))))
   1(1(0(1(0(0(1(0(0(1(1(1(0(0(1(1(1(0(0(1(x1)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(x1))))))))))))))))))))
   1(1(0(1(1(1(0(0(1(1(1(0(1(0(1(1(1(1(0(0(x1)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(x1))))))))))))))))))))
   1(1(0(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(1(0(x1)))))))))))))))))))) -> 0(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(x1))))))))))))))))))))
   1(1(0(1(1(1(1(1(1(0(1(1(0(0(0(0(0(1(1(1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(x1))))))))))))))))))))
   1(1(1(0(0(0(1(1(0(1(1(1(1(0(0(1(1(1(0(1(x1)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(x1))))))))))))))))))))
   1(1(1(0(0(1(0(0(1(0(0(1(0(0(0(0(1(0(0(0(x1)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(x1))))))))))))))))))))
   1(1(1(0(0(1(0(0(1(1(0(0(0(0(0(1(0(1(1(0(x1)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(x1))))))))))))))))))))
   1(1(1(0(0(1(0(1(0(0(0(1(0(1(1(1(0(0(0(1(x1)))))))))))))))))))) -> 0(1(1(1(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(1(x1))))))))))))))))))))
   1(1(1(0(1(1(0(0(0(0(0(0(1(1(0(1(0(0(0(0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(x1))))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(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))

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)

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

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)

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

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

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


The TRS R consists of the following rules:

   1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(x1)))))))))))))))))))) [1]
   1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(1(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(x1)))))))))))))))))))) [1]
   1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(1(0(1(1(0(1(1(0(0(0(0(1(1(0(0(0(0(1(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0(0(1(0(0(1(1(1(0(0(1(0(0(1(0(0(0(1(0(0(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(0(0(0(1(1(1(1(1(1(0(0(x1)))))))))))))))))))) [1]
   1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(1(0(0(1(0(1(0(0(0(0(1(1(1(1(0(0(1(1(1(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(1(0(1(1(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(0(0(0(0(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(1(1(0(1(1(0(1(1(1(1(1(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0(1(1(1(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(x1)))))))))))))))))))) [1]
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   0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(0(0(1(0(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(1(0(0(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0(0(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(1(0(0(x1)))))))))))))))))))) [1]
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(1(0(0(0(0(1(1(1(0(1(1(1(0(0(1(0(0(0(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0(1(1(0(0(1(0(0(1(0(0(0(0(0(0(0(1(1(0(1(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(1(0(0(1(1(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(1(1(1(1(0(0(1(0(0(0(0(0(0(0(0(0(1(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(0(0(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(0(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(0(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0(0(0(1(1(1(1(1(0(1(1(1(0(0(0(1(0(0(1(0(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0(1(0(0(1(0(0(1(1(0(1(0(0(0(0(0(1(1(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(1(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(0(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(0(0(0(1(0(1(1(1(0(1(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0(0(0(0(0(0(1(0(1(0(1(0(0(0(1(0(1(1(0(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(0(0(0(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(x1)))))))))))))))))))) [1]
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(x1)))))))))))))))))))) [1]
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(1(1(1(1(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(x1)))))))))))))))))))) [1]
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encode_0(x_1) -> 0(encArg(x_1)) [0]
   encode_1(x_1) -> 1(encArg(x_1)) [0]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]

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

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

1 => 1'
0 => 0'

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_1_1
   0'_1
   1'_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]

And the following fresh constants:    const, const1

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

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

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

   1'(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 1'(0'(1'(1'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]

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

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

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

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

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

   1'(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
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   1'(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_11))) -> 1'(0'(encArg(x_11))) [0]
   encArg(cons_1(cons_1(x_12))) -> 1'(1'(encArg(x_12))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encode_0(cons_0(x_13)) -> 0'(0'(encArg(x_13))) [0]
   encode_0(cons_1(x_14)) -> 0'(1'(encArg(x_14))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_15)) -> 1'(0'(encArg(x_15))) [0]
   encode_1(cons_1(x_16)) -> 1'(1'(encArg(x_16))) [0]
   encode_1(x_1) -> 1'(const) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]

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

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

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

   const => 0
   const1 => 0

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

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

   0'(z) -{ 1 }-> 1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(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 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(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 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(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 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + x_14
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_13))) :|: z = 1 + x_13, x_13 >= 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'(1'(encArg(x_16))) :|: z = 1 + x_16, x_16 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + x_15
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   0'(z) -{ 1 }-> 1'(1'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(0'(1'(1'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(1'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(1'(1'(0'(1'(1'(1'(0'(0'(0'(1'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(1'(1'(0'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 0 }-> 0 :|: z >= 0
   0'(z) -{ 0 }-> 1 + z :|: z >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(1'(0'(1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(0'(0'(1'(0'(1'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(0'(1'(1'(0'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(1'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(1'(0'(0'(1'(0'(0'(0'(1'(1'(0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(1'(1'(0'(1'(0'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 0 }-> 0 :|: z >= 0
   1'(z) -{ 0 }-> 1 + z :|: z >= 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'(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'(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'(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


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

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

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

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

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

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

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

   1'(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(1'(0'(0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(0'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(0'(0'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(0'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(1'(0'(0'(0'(1'(1'(1'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(1'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(1'(1'(0'(1'(1'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(1'(1'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(1'(1'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(1'(0'(0'(1'(0'(1'(0'(0'(0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(1'(1'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(1'(0'(1'(1'(0'(1'(0'(1'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(0'(1'(1'(0'(0'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(0'(1'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
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   0'(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(0'(1'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(1'(0'(1'(0'(1'(0'(0'(0'(1'(0'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(x1)))))))))))))))))))) -> 0'(1'(0'(0'(0'(0'(0'(1'(0'(1'(0'(0'(1'(0'(0'(0'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(1'(1'(0'(0'(0'(0'(1'(0'(0'(1'(1'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(1'(0'(1'(0'(1'(0'(1'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1'(0'(1'(1'(1'(1'(0'(0'(0'(0'(0'(1'(1'(0'(1'(0'(0'(1'(0'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(1'(0'(0'(0'(1'(1'(0'(0'(0'(1'(1'(0'(1'(1'(1'(1'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(0'(0'(0'(0'(0'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(1'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1)))))))))))))))))))) -> 0'(0'(0'(1'(1'(1'(0'(0'(1'(1'(1'(1'(1'(0'(1'(0'(0'(0'(1'(0'(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]

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

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

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

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

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

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

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

Only complete derivations are relevant for the runtime complexity.

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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))))
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   0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(1(1(1(0(0(1(0(0(0(0(0(0(0(0(0(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(0(0(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(1(1(1(1(0(1(1(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(1(1(0(1(0(0(0(0(0(1(1(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(0(0(0(1(0(1(1(1(0(1(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(0(0(0(1(0(1(0(1(0(0(0(1(0(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(1(1(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(1(1(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(1(1(1(0(0(0(1(1(1(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c3(1'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c4
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> c5(0'(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))), 1'(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))), 0'(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))), 0'(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))), 1'(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(z0))))))))))), 0'(1(1(1(1(0(0(0(0(1(z0)))))))))), 1'(1(1(1(0(0(0(0(1(z0))))))))), 1'(1(1(0(0(0(0(1(z0)))))))), 1'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> c79(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(z0)))))))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(z0))))))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(z0)))))))))))))))))), 0'(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(z0))))))))))))))))), 0'(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(z0)))))))))))))))), 0'(0(0(0(1(1(1(1(0(0(0(1(1(1(0(z0))))))))))))))), 0'(0(0(1(1(1(1(0(0(0(1(1(1(0(z0)))))))))))))), 0'(0(1(1(1(1(0(0(0(1(1(1(0(z0))))))))))))), 0'(1(1(1(1(0(0(0(1(1(1(0(z0)))))))))))), 1'(1(1(1(0(0(0(1(1(1(0(z0))))))))))), 1'(1(1(0(0(0(1(1(1(0(z0)))))))))), 1'(1(0(0(0(1(1(1(0(z0))))))))), 1'(0(0(0(1(1(1(0(z0)))))))), 0'(0(0(1(1(1(0(z0))))))), 0'(0(1(1(1(0(z0)))))), 0'(1(1(1(0(z0))))), 1'(1(1(0(z0)))), 1'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(z0) -> c80
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   1'(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c82(1'(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0)))))))))))))))))))), 1'(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))))))), 1'(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0)))))))))))))))))), 1'(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))))), 0'(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0)))))))))))))))), 0'(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))), 1'(0(0(0(1(0(1(1(1(1(1(1(0(1(z0)))))))))))))), 0'(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))), 0'(0(1(0(1(1(1(1(1(1(0(1(z0)))))))))))), 0'(1(0(1(1(1(1(1(1(0(1(z0))))))))))), 1'(0(1(1(1(1(1(1(0(1(z0)))))))))), 0'(1(1(1(1(1(1(0(1(z0))))))))), 1'(1(1(1(1(1(0(1(z0)))))))), 1'(1(1(1(1(0(1(z0))))))), 1'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c97(0'(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))))), 0'(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))))), 1'(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))), 0'(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))), 1'(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))), 0'(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))), 1'(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))), 1'(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))), 1'(1(0(1(0(0(1(1(0(0(1(z0))))))))))), 1'(0(1(0(0(1(1(0(0(1(z0)))))))))), 0'(1(0(0(1(1(0(0(1(z0))))))))), 1'(0(0(1(1(0(0(1(z0)))))))), 0'(0(1(1(0(0(1(z0))))))), 0'(1(1(0(0(1(z0)))))), 1'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c98(0'(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))))))), 0'(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))))), 0'(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))))), 0'(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))), 0'(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))), 1'(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))), 1'(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(1(1(0(1(0(z0))))))))))), 0'(1(0(1(1(1(1(0(1(0(z0)))))))))), 1'(0(1(1(1(1(0(1(0(z0))))))))), 0'(1(1(1(1(0(1(0(z0)))))))), 1'(1(1(1(0(1(0(z0))))))), 1'(1(1(0(1(0(z0)))))), 1'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c99(1'(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))), 1'(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))), 1'(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))), 0'(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))), 1'(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))), 0'(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))), 0'(0(1(1(1(0(0(0(0(1(0(z0))))))))))), 0'(1(1(1(0(0(0(0(1(0(z0)))))))))), 1'(1(1(0(0(0(0(1(0(z0))))))))), 1'(1(0(0(0(0(1(0(z0)))))))), 1'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c100(0'(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))), 1'(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))), 0'(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))), 0'(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))), 1'(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(z0))))))))))), 0'(1(0(0(0(0(0(1(0(1(z0)))))))))), 1'(0(0(0(0(0(1(0(1(z0))))))))), 0'(0(0(0(0(1(0(1(z0)))))))), 0'(0(0(0(1(0(1(z0))))))), 0'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c101(1'(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))), 0'(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))), 0'(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))), 1'(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))), 0'(1(1(0(1(0(0(0(0(0(0(z0))))))))))), 1'(1(0(1(0(0(0(0(0(0(z0)))))))))), 1'(0(1(0(0(0(0(0(0(z0))))))))), 0'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c102(1'(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))), 0'(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))), 1'(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(1(1(0(0(0(1(0(z0))))))))))), 1'(1(1(1(1(0(0(0(1(0(z0)))))))))), 1'(1(1(1(0(0(0(1(0(z0))))))))), 1'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> c103(1'(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))), 1'(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))), 1'(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))), 1'(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))), 1'(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))), 0'(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))), 0'(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(0(z0))))))))))), 0'(1(1(0(1(0(0(1(0(0(z0)))))))))), 1'(1(0(1(0(0(1(0(0(z0))))))))), 1'(0(1(0(0(1(0(0(z0)))))))), 0'(1(0(0(1(0(0(z0))))))), 1'(0(0(1(0(0(z0)))))), 0'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, encArg_1, encode_0_1, encode_1_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4, c5_20, c6_20, c7_20, c8_20, c9_20, c10_20, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c80, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   0'(z0) -> c4
   1'(z0) -> c80

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))))
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   0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(1(1(0(1(0(0(0(0(0(1(1(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(0(0(0(1(0(1(1(1(0(1(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(0(0(0(1(0(1(0(1(0(0(0(1(0(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(1(1(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(1(1(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(1(1(1(0(0(0(1(1(1(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c3(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> c5(0'(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))), 1'(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))), 0'(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))), 0'(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))), 1'(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(z0))))))))))), 0'(1(1(1(1(0(0(0(0(1(z0)))))))))), 1'(1(1(1(0(0(0(0(1(z0))))))))), 1'(1(1(0(0(0(0(1(z0)))))))), 1'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(z0))))))))))), 1'(0(1(0(0(0(1(0(0(0(z0)))))))))), 0'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 0'(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))), 0'(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))), 0'(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(0(1(0(1(0(z0))))))))))), 0'(1(0(1(1(0(1(0(1(0(z0)))))))))), 1'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c99(1'(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))), 1'(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))), 1'(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))), 0'(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))), 1'(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))), 0'(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))), 0'(0(1(1(1(0(0(0(0(1(0(z0))))))))))), 0'(1(1(1(0(0(0(0(1(0(z0)))))))))), 1'(1(1(0(0(0(0(1(0(z0))))))))), 1'(1(0(0(0(0(1(0(z0)))))))), 1'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c100(0'(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))), 1'(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))), 0'(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))), 0'(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))), 1'(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(z0))))))))))), 0'(1(0(0(0(0(0(1(0(1(z0)))))))))), 1'(0(0(0(0(0(1(0(1(z0))))))))), 0'(0(0(0(0(1(0(1(z0)))))))), 0'(0(0(0(1(0(1(z0))))))), 0'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c101(1'(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))), 0'(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))), 0'(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))), 1'(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))), 0'(1(1(0(1(0(0(0(0(0(0(z0))))))))))), 1'(1(0(1(0(0(0(0(0(0(z0)))))))))), 1'(0(1(0(0(0(0(0(0(z0))))))))), 0'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c102(1'(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))), 0'(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))), 1'(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(1(1(0(0(0(1(0(z0))))))))))), 1'(1(1(1(1(0(0(0(1(0(z0)))))))))), 1'(1(1(1(0(0(0(1(0(z0))))))))), 1'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> c103(1'(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))), 1'(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))), 1'(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))), 1'(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))), 1'(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))), 0'(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))), 0'(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(0(z0))))))))))), 0'(1(1(0(1(0(0(1(0(0(z0)))))))))), 1'(1(0(1(0(0(1(0(0(z0))))))))), 1'(0(1(0(0(1(0(0(z0)))))))), 0'(1(0(0(1(0(0(z0))))))), 1'(0(0(1(0(0(z0)))))), 0'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, encArg_1, encode_0_1, encode_1_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c5_20, c6_20, c7_20, c8_20, c9_20, c10_20, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(0(1(1(0(0(0(0(1(1(0(0(0(0(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(0(0(1(1(1(0(0(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(0(0(0(1(1(1(1(1(1(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(1(0(1(0(0(0(0(1(1(1(1(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(1(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(0(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(1(1(0(1(1(0(1(1(1(1(1(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(1(1(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(1(1(1(0(0(0(1(1(1(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> c5(0'(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))), 1'(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))), 0'(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))), 0'(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))), 1'(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(z0))))))))))), 0'(1(1(1(1(0(0(0(0(1(z0)))))))))), 1'(1(1(1(0(0(0(0(1(z0))))))))), 1'(1(1(0(0(0(0(1(z0)))))))), 1'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(z0))))))))))), 1'(0(1(0(0(0(1(0(0(0(z0)))))))))), 0'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 0'(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))), 0'(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))), 0'(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(0(1(0(1(0(z0))))))))))), 0'(1(0(1(1(0(1(0(1(0(z0)))))))))), 1'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c8(0'(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))), 0'(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))), 0'(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))), 0'(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))), 1'(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))), 1'(1(0(0(0(0(0(0(1(1(1(z0))))))))))), 1'(0(0(0(0(0(0(1(1(1(z0)))))))))), 0'(0(0(0(0(0(1(1(1(z0))))))))), 0'(0(0(0(0(1(1(1(z0)))))))), 0'(0(0(0(1(1(1(z0))))))), 0'(0(0(1(1(1(z0)))))), 0'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c9(1'(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))))), 0'(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))), 0'(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))), 0'(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))), 0'(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))), 0'(0(0(0(1(1(1(0(0(1(1(z0))))))))))), 0'(0(0(1(1(1(0(0(1(1(z0)))))))))), 0'(0(1(1(1(0(0(1(1(z0))))))))), 0'(1(1(1(0(0(1(1(z0)))))))), 1'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c10(1'(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))))))))), 1'(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))), 0'(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))))))), 0'(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))), 0'(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))))), 0'(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))), 1'(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))), 0'(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))), 0'(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))), 0'(1(0(0(1(1(0(1(1(0(0(z0))))))))))), 1'(0(0(1(1(0(1(1(0(0(z0)))))))))), 0'(0(1(1(0(1(1(0(0(z0))))))))), 0'(1(1(0(1(1(0(0(z0)))))))), 1'(1(0(1(1(0(0(z0))))))), 1'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c11(0'(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))))))))), 1'(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))), 0'(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))))))), 0'(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))), 0'(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))))), 0'(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))), 0'(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))), 1'(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))), 1'(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))), 1'(0(1(1(0(1(0(0(0(1(1(z0))))))))))), 0'(1(1(0(1(0(0(0(1(1(z0)))))))))), 1'(1(0(1(0(0(0(1(1(z0))))))))), 1'(0(1(0(0(0(1(1(z0)))))))), 0'(1(0(0(0(1(1(z0))))))), 1'(0(0(0(1(1(z0)))))), 0'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c102(1'(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))), 0'(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))), 1'(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(1(1(0(0(0(1(0(z0))))))))))), 1'(1(1(1(1(0(0(0(1(0(z0)))))))))), 1'(1(1(1(0(0(0(1(0(z0))))))))), 1'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> c103(1'(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))), 1'(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))), 1'(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))), 1'(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))), 1'(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))), 0'(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))), 0'(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(0(z0))))))))))), 0'(1(1(0(1(0(0(1(0(0(z0)))))))))), 1'(1(0(1(0(0(1(0(0(z0))))))))), 1'(0(1(0(0(1(0(0(z0)))))))), 0'(1(0(0(1(0(0(z0))))))), 1'(0(0(1(0(0(z0)))))), 0'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)))
   ENCODE_0(z0) -> c4(ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)))
   ENCODE_1(z0) -> c4(ENCARG(z0))
S tuples:
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   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(z0))))))))))), 1'(0(1(0(0(0(1(0(0(0(z0)))))))))), 0'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c8(0'(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))), 0'(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))), 0'(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))), 0'(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))), 1'(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))), 1'(1(0(0(0(0(0(0(1(1(1(z0))))))))))), 1'(0(0(0(0(0(0(1(1(1(z0)))))))))), 0'(0(0(0(0(0(1(1(1(z0))))))))), 0'(0(0(0(0(1(1(1(z0)))))))), 0'(0(0(0(1(1(1(z0))))))), 0'(0(0(1(1(1(z0)))))), 0'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c9(1'(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))))), 0'(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))), 0'(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))), 0'(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))), 0'(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))), 0'(0(0(0(1(1(1(0(0(1(1(z0))))))))))), 0'(0(0(1(1(1(0(0(1(1(z0)))))))))), 0'(0(1(1(1(0(0(1(1(z0))))))))), 0'(1(1(1(0(0(1(1(z0)))))))), 1'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   1'(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c101(1'(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))), 0'(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))), 0'(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))), 1'(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))), 0'(1(1(0(1(0(0(0(0(0(0(z0))))))))))), 1'(1(0(1(0(0(0(0(0(0(z0)))))))))), 1'(0(1(0(0(0(0(0(0(z0))))))))), 0'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c102(1'(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))), 0'(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))), 1'(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(1(1(0(0(0(1(0(z0))))))))))), 1'(1(1(1(1(0(0(0(1(0(z0)))))))))), 1'(1(1(1(0(0(0(1(0(z0))))))))), 1'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> c103(1'(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))), 1'(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))), 1'(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))), 1'(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))), 1'(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))), 0'(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))), 0'(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(0(z0))))))))))), 0'(1(1(0(1(0(0(1(0(0(z0)))))))))), 1'(1(0(1(0(0(1(0(0(z0))))))))), 1'(0(1(0(0(1(0(0(z0)))))))), 0'(1(0(0(1(0(0(z0))))))), 1'(0(0(1(0(0(z0)))))), 0'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, encArg_1, encode_0_1, encode_1_1

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

Compound Symbols:   c_2, c1_2, c5_20, c6_20, c7_20, c8_20, c9_20, c10_20, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c4_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 2 leading nodes:
   ENCODE_0(z0) -> c4(ENCARG(z0))
   ENCODE_1(z0) -> c4(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(0(1(1(0(0(0(0(1(1(0(0(0(0(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(0(0(1(1(1(0(0(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(0(0(0(1(1(1(1(1(1(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(1(0(1(0(0(0(0(1(1(1(1(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(1(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(0(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(1(1(0(1(1(0(1(1(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(1(1(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(0(0(0(0(0(1(0(0(0(0(0(1(1(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(0(1(0(0(0(0(0(0(0(1(1(0(0(1(1(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(1(1(0(0(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(1(0(1(1(1(0(0(z0))))))))))))))))))))
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   1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> c5(0'(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))), 1'(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))), 0'(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))), 0'(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))), 1'(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(z0))))))))))), 0'(1(1(1(1(0(0(0(0(1(z0)))))))))), 1'(1(1(1(0(0(0(0(1(z0))))))))), 1'(1(1(0(0(0(0(1(z0)))))))), 1'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(z0))))))))))), 1'(0(1(0(0(0(1(0(0(0(z0)))))))))), 0'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 0'(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))), 0'(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))), 0'(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(0(1(0(1(0(z0))))))))))), 0'(1(0(1(1(0(1(0(1(0(z0)))))))))), 1'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c8(0'(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))), 0'(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))), 0'(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))), 0'(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))), 1'(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))), 1'(1(0(0(0(0(0(0(1(1(1(z0))))))))))), 1'(0(0(0(0(0(0(1(1(1(z0)))))))))), 0'(0(0(0(0(0(1(1(1(z0))))))))), 0'(0(0(0(0(1(1(1(z0)))))))), 0'(0(0(0(1(1(1(z0))))))), 0'(0(0(1(1(1(z0)))))), 0'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c9(1'(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))))), 0'(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))), 0'(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))), 0'(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))), 0'(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))), 0'(0(0(0(1(1(1(0(0(1(1(z0))))))))))), 0'(0(0(1(1(1(0(0(1(1(z0)))))))))), 0'(0(1(1(1(0(0(1(1(z0))))))))), 0'(1(1(1(0(0(1(1(z0)))))))), 1'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c10(1'(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))))))))), 1'(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))), 0'(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))))))), 0'(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))), 0'(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))))), 0'(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))), 1'(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))), 0'(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))), 0'(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))), 0'(1(0(0(1(1(0(1(1(0(0(z0))))))))))), 1'(0(0(1(1(0(1(1(0(0(z0)))))))))), 0'(0(1(1(0(1(1(0(0(z0))))))))), 0'(1(1(0(1(1(0(0(z0)))))))), 1'(1(0(1(1(0(0(z0))))))), 1'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c11(0'(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))))))))), 1'(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))), 0'(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))))))), 0'(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))), 0'(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))))), 0'(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))), 0'(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))), 1'(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))), 1'(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))), 1'(0(1(1(0(1(0(0(0(1(1(z0))))))))))), 0'(1(1(0(1(0(0(0(1(1(z0)))))))))), 1'(1(0(1(0(0(0(1(1(z0))))))))), 1'(0(1(0(0(0(1(1(z0)))))))), 0'(1(0(0(0(1(1(z0))))))), 1'(0(0(0(1(1(z0)))))), 0'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   ENCODE_0(z0) -> c4(0'(encArg(z0)))
   ENCODE_1(z0) -> c4(1'(encArg(z0)))
S tuples:
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   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c102(1'(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))), 0'(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))), 1'(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(1(1(0(0(0(1(0(z0))))))))))), 1'(1(1(1(1(0(0(0(1(0(z0)))))))))), 1'(1(1(1(0(0(0(1(0(z0))))))))), 1'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> c103(1'(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))), 1'(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))), 1'(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))), 1'(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))), 1'(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))), 0'(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))), 0'(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(0(z0))))))))))), 0'(1(1(0(1(0(0(1(0(0(z0)))))))))), 1'(1(0(1(0(0(1(0(0(z0))))))))), 1'(0(1(0(0(1(0(0(z0)))))))), 0'(1(0(0(1(0(0(z0))))))), 1'(0(0(1(0(0(z0)))))), 0'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, encArg_1, encode_0_1, encode_1_1

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

Compound Symbols:   c_2, c1_2, c5_20, c6_20, c7_20, c8_20, c9_20, c10_20, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c4_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))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(0(1(1(0(0(0(0(1(1(0(0(0(0(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(0(0(1(1(1(0(0(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(0(0(0(1(1(1(1(1(1(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(1(0(1(0(0(0(0(1(1(1(1(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(0(1(0(0(0(0(0(0(0(1(1(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(0(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(1(1(0(1(1(0(1(1(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(1(1(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(0(0(0(0(0(1(0(0(0(0(0(1(1(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(0(1(0(0(0(0(0(0(0(1(1(0(0(1(1(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(1(1(0(0(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(0(0(1(1(0(1(0(1(1(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(1(1(1(0(1(1(0(1(0(1(1(0(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(0(1(1(0(0(0(1(1(0(0(1(0(0(0(0(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(0(0(1(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(1(1(1(1(0(0(0(0(0(0(1(1(0(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(1(0(0(1(1(1(0(0(1(1(0(1(0(1(0(0(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 1(0(0(0(1(0(1(0(1(0(0(1(1(0(0(0(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(0(1(1(1(1(0(0(1(1(1(0(0(0(1(0(0(1(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(0(1(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(1(0(0(1(0(0(0(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(0(0(0(1(0(0(0(1(1(0(1(0(z0))))))))))))))))))))
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   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> c5(0'(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))), 1'(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))), 0'(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))), 0'(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))), 1'(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(z0))))))))))), 0'(1(1(1(1(0(0(0(0(1(z0)))))))))), 1'(1(1(1(0(0(0(0(1(z0))))))))), 1'(1(1(0(0(0(0(1(z0)))))))), 1'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(z0))))))))))), 1'(0(1(0(0(0(1(0(0(0(z0)))))))))), 0'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 0'(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))), 0'(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))), 0'(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(0(1(0(1(0(z0))))))))))), 0'(1(0(1(1(0(1(0(1(0(z0)))))))))), 1'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c8(0'(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))), 0'(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))), 0'(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))), 0'(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))), 1'(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))), 1'(1(0(0(0(0(0(0(1(1(1(z0))))))))))), 1'(0(0(0(0(0(0(1(1(1(z0)))))))))), 0'(0(0(0(0(0(1(1(1(z0))))))))), 0'(0(0(0(0(1(1(1(z0)))))))), 0'(0(0(0(1(1(1(z0))))))), 0'(0(0(1(1(1(z0)))))), 0'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c9(1'(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))))), 0'(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))), 0'(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))), 0'(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))), 0'(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))), 0'(0(0(0(1(1(1(0(0(1(1(z0))))))))))), 0'(0(0(1(1(1(0(0(1(1(z0)))))))))), 0'(0(1(1(1(0(0(1(1(z0))))))))), 0'(1(1(1(0(0(1(1(z0)))))))), 1'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c10(1'(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))))))))), 1'(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))), 0'(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))))))), 0'(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))), 0'(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))))), 0'(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))), 1'(0(0(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))))), 0'(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))), 0'(0(1(0(0(1(1(0(1(1(0(0(z0)))))))))))), 0'(1(0(0(1(1(0(1(1(0(0(z0))))))))))), 1'(0(0(1(1(0(1(1(0(0(z0)))))))))), 0'(0(1(1(0(1(1(0(0(z0))))))))), 0'(1(1(0(1(1(0(0(z0)))))))), 1'(1(0(1(1(0(0(z0))))))), 1'(0(1(1(0(0(z0)))))), 0'(1(1(0(0(z0))))), 1'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c11(0'(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))))))))), 1'(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))), 0'(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))))))), 0'(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))), 0'(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))))), 0'(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))), 0'(1(1(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))))), 1'(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))), 1'(1(0(1(1(0(1(0(0(0(1(1(z0)))))))))))), 1'(0(1(1(0(1(0(0(0(1(1(z0))))))))))), 0'(1(1(0(1(0(0(0(1(1(z0)))))))))), 1'(1(0(1(0(0(0(1(1(z0))))))))), 1'(0(1(0(0(0(1(1(z0)))))))), 0'(1(0(0(0(1(1(z0))))))), 1'(0(0(0(1(1(z0)))))), 0'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c12(1'(0(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(z0)))))))))))))))))))), 0'(0(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(z0))))))))))))))))))), 0'(0(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(z0)))))))))))))))))), 0'(1(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(z0))))))))))))))))), 1'(0(0(1(0(0(0(0(0(1(1(1(0(1(0(0(z0)))))))))))))))), 0'(0(1(0(0(0(0(0(1(1(1(0(1(0(0(z0))))))))))))))), 0'(1(0(0(0(0(0(1(1(1(0(1(0(0(z0)))))))))))))), 1'(0(0(0(0(0(1(1(1(0(1(0(0(z0))))))))))))), 0'(0(0(0(0(1(1(1(0(1(0(0(z0)))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(z0))))))))))), 0'(0(0(1(1(1(0(1(0(0(z0)))))))))), 0'(0(1(1(1(0(1(0(0(z0))))))))), 0'(1(1(1(0(1(0(0(z0)))))))), 1'(1(1(0(1(0(0(z0))))))), 1'(1(0(1(0(0(z0)))))), 1'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c13(0'(0(0(1(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(z0)))))))))))))))))))), 0'(0(1(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(z0))))))))))))))))))), 0'(1(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(z0)))))))))))))))))), 1'(1(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(z0))))))))))))))))), 1'(1(1(0(0(0(1(1(0(0(0(1(1(0(1(1(z0)))))))))))))))), 1'(1(0(0(0(1(1(0(0(0(1(1(0(1(1(z0))))))))))))))), 1'(0(0(0(1(1(0(0(0(1(1(0(1(1(z0)))))))))))))), 0'(0(0(1(1(0(0(0(1(1(0(1(1(z0))))))))))))), 0'(0(1(1(0(0(0(1(1(0(1(1(z0)))))))))))), 0'(1(1(0(0(0(1(1(0(1(1(z0))))))))))), 1'(1(0(0(0(1(1(0(1(1(z0)))))))))), 1'(0(0(0(1(1(0(1(1(z0))))))))), 0'(0(0(1(1(0(1(1(z0)))))))), 0'(0(1(1(0(1(1(z0))))))), 0'(1(1(0(1(1(z0)))))), 1'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   ENCODE_0(z0) -> c4(0'(encArg(z0)))
   ENCODE_1(z0) -> c4(1'(encArg(z0)))
S tuples:
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   1'(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c96(1'(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))), 1'(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))), 1'(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))), 0'(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))), 0'(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))), 1'(0(1(1(0(0(0(0(0(0(0(z0))))))))))), 0'(1(1(0(0(0(0(0(0(0(z0)))))))))), 1'(1(0(0(0(0(0(0(0(z0))))))))), 1'(0(0(0(0(0(0(0(z0)))))))), 0'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c97(0'(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))))), 0'(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))))), 1'(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))), 0'(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))), 1'(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))), 0'(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))), 1'(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))), 1'(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))), 1'(1(0(1(0(0(1(1(0(0(1(z0))))))))))), 1'(0(1(0(0(1(1(0(0(1(z0)))))))))), 0'(1(0(0(1(1(0(0(1(z0))))))))), 1'(0(0(1(1(0(0(1(z0)))))))), 0'(0(1(1(0(0(1(z0))))))), 0'(1(1(0(0(1(z0)))))), 1'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c98(0'(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))))))), 0'(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))))), 0'(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))))), 0'(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))), 0'(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))), 1'(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))), 1'(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(1(1(0(1(0(z0))))))))))), 0'(1(0(1(1(1(1(0(1(0(z0)))))))))), 1'(0(1(1(1(1(0(1(0(z0))))))))), 0'(1(1(1(1(0(1(0(z0)))))))), 1'(1(1(1(0(1(0(z0))))))), 1'(1(1(0(1(0(z0)))))), 1'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c99(1'(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))), 1'(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))), 1'(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))), 0'(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))), 1'(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))), 0'(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))), 0'(0(1(1(1(0(0(0(0(1(0(z0))))))))))), 0'(1(1(1(0(0(0(0(1(0(z0)))))))))), 1'(1(1(0(0(0(0(1(0(z0))))))))), 1'(1(0(0(0(0(1(0(z0)))))))), 1'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c100(0'(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))), 1'(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))), 0'(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))), 0'(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))), 1'(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(z0))))))))))), 0'(1(0(0(0(0(0(1(0(1(z0)))))))))), 1'(0(0(0(0(0(1(0(1(z0))))))))), 0'(0(0(0(0(1(0(1(z0)))))))), 0'(0(0(0(1(0(1(z0))))))), 0'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c101(1'(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))), 0'(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))), 0'(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))), 1'(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))), 0'(1(1(0(1(0(0(0(0(0(0(z0))))))))))), 1'(1(0(1(0(0(0(0(0(0(z0)))))))))), 1'(0(1(0(0(0(0(0(0(z0))))))))), 0'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c102(1'(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))), 0'(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))), 1'(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(1(1(0(0(0(1(0(z0))))))))))), 1'(1(1(1(1(0(0(0(1(0(z0)))))))))), 1'(1(1(1(0(0(0(1(0(z0))))))))), 1'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> c103(1'(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))), 1'(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))), 1'(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))), 1'(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))), 1'(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))), 0'(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))), 0'(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(0(z0))))))))))), 0'(1(1(0(1(0(0(1(0(0(z0)))))))))), 1'(1(0(1(0(0(1(0(0(z0))))))))), 1'(0(1(0(0(1(0(0(z0)))))))), 0'(1(0(0(1(0(0(z0))))))), 1'(0(0(1(0(0(z0)))))), 0'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c_2, c1_2, c5_20, c6_20, c7_20, c8_20, c9_20, c10_20, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c4_1


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

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

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))))
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   0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(1(1(1(0(0(1(0(0(0(0(0(0(0(0(0(1(1(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(0(0(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(1(0(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(0(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(1(1(1(1(0(1(1(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(1(0(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(1(1(0(1(0(0(0(0(0(1(1(0(0(z0))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(0(0(0(1(0(1(1(1(0(1(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(0(0(0(1(0(1(0(1(0(0(0(1(0(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(1(1(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(0(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(z0))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(1(1(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(1(1(1(0(0(0(1(1(1(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> c5(0'(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))), 1'(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))), 0'(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))), 0'(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))), 1'(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(z0))))))))))), 0'(1(1(1(1(0(0(0(0(1(z0)))))))))), 1'(1(1(1(0(0(0(0(1(z0))))))))), 1'(1(1(0(0(0(0(1(z0)))))))), 1'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(z0))))))))))), 1'(0(1(0(0(0(1(0(0(0(z0)))))))))), 0'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c100(0'(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))), 1'(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))), 0'(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))), 0'(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))), 1'(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(z0))))))))))), 0'(1(0(0(0(0(0(1(0(1(z0)))))))))), 1'(0(0(0(0(0(1(0(1(z0))))))))), 0'(0(0(0(0(1(0(1(z0)))))))), 0'(0(0(0(1(0(1(z0))))))), 0'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c102(1'(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))), 0'(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))), 1'(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(1(1(0(0(0(1(0(z0))))))))))), 1'(1(1(1(1(0(0(0(1(0(z0)))))))))), 1'(1(1(1(0(0(0(1(0(z0))))))))), 1'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> c103(1'(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))), 1'(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))), 1'(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))), 1'(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))), 1'(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))), 0'(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))), 0'(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(0(z0))))))))))), 0'(1(1(0(1(0(0(1(0(0(z0)))))))))), 1'(1(0(1(0(0(1(0(0(z0))))))))), 1'(0(1(0(0(1(0(0(z0)))))))), 0'(1(0(0(1(0(0(z0))))))), 1'(0(0(1(0(0(z0)))))), 0'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)))
   ENCODE_1(z0) -> c4(1'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
S tuples:
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   1'(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c96(1'(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))), 1'(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))), 1'(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))), 0'(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))), 0'(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))), 1'(0(1(1(0(0(0(0(0(0(0(z0))))))))))), 0'(1(1(0(0(0(0(0(0(0(z0)))))))))), 1'(1(0(0(0(0(0(0(0(z0))))))))), 1'(0(0(0(0(0(0(0(z0)))))))), 0'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c97(0'(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))))), 0'(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))))), 1'(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))), 0'(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))), 1'(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))), 0'(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))), 1'(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))), 1'(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))), 1'(1(0(1(0(0(1(1(0(0(1(z0))))))))))), 1'(0(1(0(0(1(1(0(0(1(z0)))))))))), 0'(1(0(0(1(1(0(0(1(z0))))))))), 1'(0(0(1(1(0(0(1(z0)))))))), 0'(0(1(1(0(0(1(z0))))))), 0'(1(1(0(0(1(z0)))))), 1'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c98(0'(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))))))), 0'(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))))), 0'(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))))), 0'(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))), 0'(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))), 1'(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))), 1'(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(1(1(0(1(0(z0))))))))))), 0'(1(0(1(1(1(1(0(1(0(z0)))))))))), 1'(0(1(1(1(1(0(1(0(z0))))))))), 0'(1(1(1(1(0(1(0(z0)))))))), 1'(1(1(1(0(1(0(z0))))))), 1'(1(1(0(1(0(z0)))))), 1'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c99(1'(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))), 1'(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))), 1'(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))), 0'(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))), 1'(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))), 0'(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))), 0'(0(1(1(1(0(0(0(0(1(0(z0))))))))))), 0'(1(1(1(0(0(0(0(1(0(z0)))))))))), 1'(1(1(0(0(0(0(1(0(z0))))))))), 1'(1(0(0(0(0(1(0(z0)))))))), 1'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c100(0'(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))), 1'(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))), 0'(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))), 0'(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))), 1'(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(z0))))))))))), 0'(1(0(0(0(0(0(1(0(1(z0)))))))))), 1'(0(0(0(0(0(1(0(1(z0))))))))), 0'(0(0(0(0(1(0(1(z0)))))))), 0'(0(0(0(1(0(1(z0))))))), 0'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c101(1'(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))), 0'(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))), 0'(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))), 1'(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))), 0'(1(1(0(1(0(0(0(0(0(0(z0))))))))))), 1'(1(0(1(0(0(0(0(0(0(z0)))))))))), 1'(0(1(0(0(0(0(0(0(z0))))))))), 0'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c102(1'(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))), 0'(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))), 1'(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(1(1(0(0(0(1(0(z0))))))))))), 1'(1(1(1(1(0(0(0(1(0(z0)))))))))), 1'(1(1(1(0(0(0(1(0(z0))))))))), 1'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> c103(1'(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))), 1'(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))), 1'(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))), 1'(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))), 1'(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))), 0'(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))), 0'(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(0(z0))))))))))), 0'(1(1(0(1(0(0(1(0(0(z0)))))))))), 1'(1(0(1(0(0(1(0(0(z0))))))))), 1'(0(1(0(0(1(0(0(z0)))))))), 0'(1(0(0(1(0(0(z0))))))), 1'(0(0(1(0(0(z0)))))), 0'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c1_2, c5_20, c6_20, c7_20, c8_20, c9_20, c10_20, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c4_1, c_2


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

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

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))))
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   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(0(0(0(1(0(1(1(1(0(1(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(0(0(0(1(0(1(0(1(0(0(0(1(0(1(1(0(1(z0))))))))))))))))))))
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   0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(1(1(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(z0))))))))))))))))))))
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   1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(1(1(1(0(0(0(1(1(1(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(z0))))))))))))))))))))
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   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))
Tuples:
   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> c5(0'(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))), 1'(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))), 0'(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))), 0'(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))), 1'(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(z0))))))))))), 0'(1(1(1(1(0(0(0(0(1(z0)))))))))), 1'(1(1(1(0(0(0(0(1(z0))))))))), 1'(1(1(0(0(0(0(1(z0)))))))), 1'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(z0))))))))))), 1'(0(1(0(0(0(1(0(0(0(z0)))))))))), 0'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 0'(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))), 0'(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))), 0'(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(0(1(0(1(0(z0))))))))))), 0'(1(0(1(1(0(1(0(1(0(z0)))))))))), 1'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c100(0'(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))), 1'(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))), 0'(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))), 0'(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))), 1'(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(z0))))))))))), 0'(1(0(0(0(0(0(1(0(1(z0)))))))))), 1'(0(0(0(0(0(1(0(1(z0))))))))), 0'(0(0(0(0(1(0(1(z0)))))))), 0'(0(0(0(1(0(1(z0))))))), 0'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   ENCODE_0(z0) -> c4(0'(encArg(z0)))
   ENCODE_1(z0) -> c4(1'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
S tuples:
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   1'(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c96(1'(1(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(1(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))))), 1'(1(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))))), 1'(0(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))))), 0'(1(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))))), 1'(1(0(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))))), 1'(0(0(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))))), 0'(0(1(0(1(1(0(0(0(0(0(0(0(z0))))))))))))), 0'(1(0(1(1(0(0(0(0(0(0(0(z0)))))))))))), 1'(0(1(1(0(0(0(0(0(0(0(z0))))))))))), 0'(1(1(0(0(0(0(0(0(0(z0)))))))))), 1'(1(0(0(0(0(0(0(0(z0))))))))), 1'(0(0(0(0(0(0(0(z0)))))))), 0'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c97(0'(1(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))))), 0'(1(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))))), 1'(0(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))))), 0'(1(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))))), 1'(0(1(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))))), 0'(1(1(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))))), 1'(1(1(1(0(1(0(0(1(1(0(0(1(z0))))))))))))), 1'(1(1(0(1(0(0(1(1(0(0(1(z0)))))))))))), 1'(1(0(1(0(0(1(1(0(0(1(z0))))))))))), 1'(0(1(0(0(1(1(0(0(1(z0)))))))))), 0'(1(0(0(1(1(0(0(1(z0))))))))), 1'(0(0(1(1(0(0(1(z0)))))))), 0'(0(1(1(0(0(1(z0))))))), 0'(1(1(0(0(1(z0)))))), 1'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> c98(0'(0(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))))))), 0'(0(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))))), 0'(0(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))))), 0'(0(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))))), 0'(1(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))))), 1'(1(0(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))))), 1'(0(1(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(1(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(1(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(1(1(0(1(0(z0))))))))))), 0'(1(0(1(1(1(1(0(1(0(z0)))))))))), 1'(0(1(1(1(1(0(1(0(z0))))))))), 0'(1(1(1(1(0(1(0(z0)))))))), 1'(1(1(1(0(1(0(z0))))))), 1'(1(1(0(1(0(z0)))))), 1'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c99(1'(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))), 1'(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))))), 1'(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))), 0'(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))))), 0'(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))), 0'(1(0(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))))), 1'(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))), 0'(0(0(1(1(1(0(0(0(0(1(0(z0)))))))))))), 0'(0(1(1(1(0(0(0(0(1(0(z0))))))))))), 0'(1(1(1(0(0(0(0(1(0(z0)))))))))), 1'(1(1(0(0(0(0(1(0(z0))))))))), 1'(1(0(0(0(0(1(0(z0)))))))), 1'(0(0(0(0(1(0(z0))))))), 0'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c100(0'(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))), 0'(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))))), 0'(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))), 1'(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))), 0'(0(1(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))))), 0'(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))), 1'(1(0(1(0(0(0(0(0(1(0(1(z0)))))))))))), 1'(0(1(0(0(0(0(0(1(0(1(z0))))))))))), 0'(1(0(0(0(0(0(1(0(1(z0)))))))))), 1'(0(0(0(0(0(1(0(1(z0))))))))), 0'(0(0(0(0(1(0(1(z0)))))))), 0'(0(0(0(1(0(1(z0))))))), 0'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> c101(1'(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))))), 1'(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))), 0'(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))))), 0'(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))), 1'(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))))), 0'(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))), 0'(0(1(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))))), 0'(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))), 1'(0(1(1(0(1(0(0(0(0(0(0(z0)))))))))))), 0'(1(1(0(1(0(0(0(0(0(0(z0))))))))))), 1'(1(0(1(0(0(0(0(0(0(z0)))))))))), 1'(0(1(0(0(0(0(0(0(z0))))))))), 0'(1(0(0(0(0(0(0(z0)))))))), 1'(0(0(0(0(0(0(z0))))))), 0'(0(0(0(0(0(z0)))))), 0'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> c102(1'(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))), 1'(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))))), 0'(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))), 1'(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))))), 0'(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))), 1'(0(1(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(1(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(1(1(0(0(0(1(0(z0))))))))))), 1'(1(1(1(1(0(0(0(1(0(z0)))))))))), 1'(1(1(1(0(0(0(1(0(z0))))))))), 1'(1(1(0(0(0(1(0(z0)))))))), 1'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   1'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> c103(1'(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))), 1'(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))))), 1'(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))), 1'(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))))), 1'(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))))), 0'(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))), 0'(0(0(1(1(0(1(0(0(1(0(0(z0)))))))))))), 0'(0(1(1(0(1(0(0(1(0(0(z0))))))))))), 0'(1(1(0(1(0(0(1(0(0(z0)))))))))), 1'(1(0(1(0(0(1(0(0(z0))))))))), 1'(0(1(0(0(1(0(0(z0)))))))), 0'(1(0(0(1(0(0(z0))))))), 1'(0(0(1(0(0(z0)))))), 0'(0(1(0(0(z0))))), 0'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> c104(0'(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))))), 0'(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))), 0'(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))))), 1'(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))), 1'(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))))), 1'(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))), 0'(0(1(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))))), 0'(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))), 1'(1(1(1(1(0(1(0(0(0(1(0(z0)))))))))))), 1'(1(1(1(0(1(0(0(0(1(0(z0))))))))))), 1'(1(1(0(1(0(0(0(1(0(z0)))))))))), 1'(1(0(1(0(0(0(1(0(z0))))))))), 1'(0(1(0(0(0(1(0(z0)))))))), 0'(1(0(0(0(1(0(z0))))))), 1'(0(0(0(1(0(z0)))))), 0'(0(0(1(0(z0))))), 0'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c5_20, c6_20, c7_20, c8_20, c9_20, c10_20, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c4_1, c_2, c1_2


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> c5(0'(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))))), 0'(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))), 0'(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))))), 1'(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))), 0'(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))))), 0'(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))), 1'(0(0(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(z0)))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(z0))))))))))), 0'(1(1(1(1(0(0(0(0(1(z0)))))))))), 1'(1(1(1(0(0(0(0(1(z0))))))))), 1'(1(1(0(0(0(0(1(z0)))))))), 1'(1(0(0(0(0(1(z0))))))), 1'(0(0(0(0(1(z0)))))), 0'(0(0(0(1(z0))))), 0'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0)) by 
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   0'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))) -> c5(0'(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))), 1'(1(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))), 1'(1(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))), 1'(1(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))), 1'(0(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))), 0'(0(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))), 0'(0(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))), 0'(0(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))), 0'(1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))), 1'(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
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   0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(0(0(0(1(0(1(1(1(0(1(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(0(0(0(1(0(1(0(1(0(0(0(1(0(1(1(0(1(z0))))))))))))))))))))
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   0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(1(1(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(z0))))))))))))))))))))
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   1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(1(1(1(0(0(0(1(1(1(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(z0))))))))))))))))))))
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   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))
Tuples:
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(z0))))))))))), 1'(0(1(0(0(0(1(0(0(0(z0)))))))))), 0'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 0'(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))), 0'(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))), 0'(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(0(1(0(1(0(z0))))))))))), 0'(1(0(1(1(0(1(0(1(0(z0)))))))))), 1'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c8(0'(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))), 0'(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))), 0'(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))), 0'(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))), 1'(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))), 1'(1(0(0(0(0(0(0(1(1(1(z0))))))))))), 1'(0(0(0(0(0(0(1(1(1(z0)))))))))), 0'(0(0(0(0(0(1(1(1(z0))))))))), 0'(0(0(0(0(1(1(1(z0)))))))), 0'(0(0(0(1(1(1(z0))))))), 0'(0(0(1(1(1(z0)))))), 0'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   ENCODE_0(z0) -> c4(0'(encArg(z0)))
   ENCODE_1(z0) -> c4(1'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c6_20, c7_20, c8_20, c9_20, c10_20, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c4_1, c_2, c1_2, c5_20


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(z0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(z0))))))))))), 1'(0(1(0(0(0(1(0(0(0(z0)))))))))), 0'(1(0(0(0(1(0(0(0(z0))))))))), 1'(0(0(0(1(0(0(0(z0)))))))), 0'(0(0(1(0(0(0(z0))))))), 0'(0(1(0(0(0(z0)))))), 0'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0)) by 
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(c_0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(0(c_1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(0(1(c_1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(0(1(1(c_0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(0(1(1(0(c_0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(c_0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(c_0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(c_1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(c_1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
   0'(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(x0)))))))))))))))))))) -> c6(0'(0(1(1(0(0(0(0(1(1(c_1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))))), 0'(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))))), 0'(0(0(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))))), 0'(1(1(1(0(1(0(0(0(1(0(0(0(x0))))))))))))), 1'(1(1(0(1(0(0(0(1(0(0(0(x0)))))))))))), 1'(1(0(1(0(0(0(1(0(0(0(x0))))))))))), 1'(0(1(0(0(0(1(0(0(0(x0)))))))))), 0'(1(0(0(0(1(0(0(0(x0))))))))), 1'(0(0(0(1(0(0(0(x0)))))))), 0'(0(0(1(0(0(0(x0))))))), 0'(0(1(0(0(0(x0)))))), 0'(1(0(0(0(x0))))), 1'(0(0(0(x0)))), 0'(0(0(x0))), 0'(0(x0)), 0'(x0))
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----------------------------------------

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(1(0(0(1(0(1(1(1(1(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(1(0(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(0(1(0(0(0(1(0(0(1(1(0(1(1(0(0(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
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   0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(1(0(1(z0))))))))))))))))))))
   0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(1(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(0(0(0(1(0(1(1(1(0(1(0(0(z0))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(z0)))))))))))))))))))) -> 0(0(0(0(0(0(1(0(1(0(1(0(0(0(1(0(1(1(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(0(0(0(1(z0))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(1(1(1(1(z0))))))))))))))))))))
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   1(z0) -> c_1(z0)
   1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(1(0(1(1(1(0(1(1(0(0(1(1(1(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> 0(0(0(1(0(0(0(1(1(0(0(1(1(1(0(0(0(1(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> 1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(0(0(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 0(1(1(1(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(z0)))))))))))))))))))) -> 0(1(1(1(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(1(0(1(1(1(1(0(0(0(1(1(1(0(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(1(1(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(0(0(0(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_0(z0)))))))))))))))))))) -> 1(1(0(1(0(0(0(0(0(0(1(0(0(1(1(1(0(0(0(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(z0)))))))))))))))))))) -> 1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(z0)))))))))))))))))))) -> 0(0(0(0(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(0(1(0(1(1(0(0(1(0(0(1(0(1(1(1(1(z0))))))))))))))))))))
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   1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(0(0(0(1(0(z0))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(z0))))))))))))))))))))
   1(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(1(0(0(1(0(0(0(1(0(1(1(0(1(0(0(0(0(0(0(z0))))))))))))))))))))
   1(c_1(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(z0)))))))))))))))))))) -> 1(1(1(0(1(0(1(0(1(1(1(1(1(1(1(0(0(0(1(0(z0))))))))))))))))))))
   1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(0(1(1(1(1(0(0(0(0(0(1(1(0(1(0(0(1(0(0(z0))))))))))))))))))))
   1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0)))))))))))))))))))) -> 0(0(0(1(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(z0))))))))))))))))))))
Tuples:
   0'(c_0(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> c7(0'(1(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))))), 1'(0(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))))), 0'(0(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))))), 0'(0(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))))), 0'(0(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))))), 0'(0(0(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))))), 0'(0(1(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))))), 0'(1(1(0(1(0(1(1(0(1(0(1(0(z0))))))))))))), 1'(1(0(1(0(1(1(0(1(0(1(0(z0)))))))))))), 1'(0(1(0(1(1(0(1(0(1(0(z0))))))))))), 0'(1(0(1(1(0(1(0(1(0(z0)))))))))), 1'(0(1(1(0(1(0(1(0(z0))))))))), 0'(1(1(0(1(0(1(0(z0)))))))), 1'(1(0(1(0(1(0(z0))))))), 1'(0(1(0(1(0(z0)))))), 0'(1(0(1(0(z0))))), 1'(0(1(0(z0)))), 0'(1(0(z0))), 1'(0(z0)), 0'(z0))
   0'(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_0(z0)))))))))))))))))))) -> c8(0'(0(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))))), 0'(1(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))))), 1'(1(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))))), 1'(0(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))))), 0'(0(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))))), 0'(0(0(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))))), 0'(0(1(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))))), 0'(1(1(1(0(0(0(0(0(0(1(1(1(z0))))))))))))), 1'(1(1(0(0(0(0(0(0(1(1(1(z0)))))))))))), 1'(1(0(0(0(0(0(0(1(1(1(z0))))))))))), 1'(0(0(0(0(0(0(1(1(1(z0)))))))))), 0'(0(0(0(0(0(1(1(1(z0))))))))), 0'(0(0(0(0(1(1(1(z0)))))))), 0'(0(0(0(1(1(1(z0))))))), 0'(0(0(1(1(1(z0)))))), 0'(0(1(1(1(z0))))), 0'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   0'(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(z0)))))))))))))))))))) -> c9(1'(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))))), 0'(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))))), 0'(1(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))))), 0'(0(0(0(0(0(1(1(1(0(0(1(1(z0))))))))))))), 0'(0(0(0(0(1(1(1(0(0(1(1(z0)))))))))))), 0'(0(0(0(1(1(1(0(0(1(1(z0))))))))))), 0'(0(0(1(1(1(0(0(1(1(z0)))))))))), 0'(0(1(1(1(0(0(1(1(z0))))))))), 0'(1(1(1(0(0(1(1(z0)))))))), 1'(1(1(0(0(1(1(z0))))))), 1'(1(0(0(1(1(z0)))))), 1'(0(0(1(1(z0))))), 0'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   ENCODE_0(z0) -> c4(0'(encArg(z0)))
   ENCODE_1(z0) -> c4(1'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1

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

Compound Symbols:   c7_20, c8_20, c9_20, c10_20, c11_20, c12_20, c13_20, c14_20, c15_20, c16_20, c17_20, c18_20, c19_20, c20_20, c21_20, c22_20, c23_20, c24_20, c25_20, c26_20, c27_20, c28_20, c29_20, c30_20, c31_20, c32_20, c33_20, c34_20, c35_20, c36_20, c37_20, c38_20, c39_20, c40_20, c41_20, c42_20, c43_20, c44_20, c45_20, c46_20, c47_20, c48_20, c49_20, c50_20, c51_20, c52_20, c53_20, c54_20, c55_20, c56_20, c57_20, c58_20, c59_20, c60_20, c61_20, c62_20, c63_20, c64_20, c65_20, c66_20, c67_20, c68_20, c69_20, c70_20, c71_20, c72_20, c73_20, c74_20, c75_20, c76_20, c77_20, c78_20, c79_20, c81_20, c82_20, c83_20, c84_20, c85_20, c86_20, c87_20, c88_20, c89_20, c90_20, c91_20, c92_20, c93_20, c94_20, c95_20, c96_20, c97_20, c98_20, c99_20, c100_20, c101_20, c102_20, c103_20, c104_20, c4_1, c_2, c1_2, c5_20, c6_20