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Derivational Complexity: TRS pair #487103310
details
property
value
status
complete
benchmark
152786.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.007 seconds
cpu usage
809.235
user time
801.729
system time
7.5058
max virtual memory
1.9150148E7
max residence set size
1.461442E7
stage attributes
key
value
starexec-result
KILLED
output
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 177 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), 2728 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 57 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 21 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 2367 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 132 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 130 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 17 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 28 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1480 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 9 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 12 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 14.0 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4301 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4327 ms] (50) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(1(0(2(1(3(2(0(4(1(1(1(5(5(0(4(0(3(x1)))))))))))))))))))) -> 3(0(4(0(1(4(1(2(4(2(0(3(5(0(2(0(2(1(1(4(x1)))))))))))))))))))) 0(0(2(3(4(1(0(2(4(4(3(3(1(5(4(4(5(0(0(1(x1)))))))))))))))))))) -> 1(3(5(3(0(1(0(0(4(0(2(1(2(1(2(4(2(3(1(3(x1)))))))))))))))))))) 0(0(4(0(4(0(0(3(1(2(2(4(1(5(3(1(2(4(5(3(x1)))))))))))))))))))) -> 2(4(3(5(3(1(5(2(1(4(1(1(0(0(3(4(4(2(1(4(x1)))))))))))))))))))) 0(1(3(1(5(4(0(3(5(2(4(1(4(3(5(2(2(2(3(1(x1)))))))))))))))))))) -> 4(1(2(0(3(1(2(1(0(4(0(5(0(3(2(4(5(3(1(4(x1)))))))))))))))))))) 0(1(4(1(4(3(1(3(3(5(0(4(1(5(2(2(0(5(3(2(x1)))))))))))))))))))) -> 0(2(1(5(0(1(0(2(2(5(2(1(1(2(3(4(0(5(1(4(x1)))))))))))))))))))) 0(1(4(4(1(2(3(2(5(3(5(1(5(1(3(2(4(0(1(0(x1)))))))))))))))))))) -> 1(1(1(3(4(3(3(0(3(3(2(3(3(0(2(4(1(2(0(2(x1)))))))))))))))))))) 0(1(4(4(4(2(4(3(1(3(1(4(5(2(0(5(1(0(2(4(x1)))))))))))))))))))) -> 0(1(5(0(0(4(0(1(3(0(5(0(3(4(1(4(2(0(3(1(x1)))))))))))))))))))) 0(1(5(5(3(4(4(2(0(3(4(1(1(2(0(3(0(4(3(3(x1)))))))))))))))))))) -> 1(4(1(2(2(4(3(1(4(1(4(4(2(2(3(1(1(3(1(2(x1)))))))))))))))))))) 0(2(2(3(0(5(1(0(5(3(3(2(3(0(2(5(5(1(1(4(x1)))))))))))))))))))) -> 4(3(2(4(3(2(0(2(2(3(5(0(3(2(2(5(2(2(1(4(x1)))))))))))))))))))) 0(2(4(3(1(0(1(5(3(0(5(2(3(0(2(2(4(0(3(0(x1)))))))))))))))))))) -> 1(2(0(3(0(5(1(1(3(1(4(5(1(2(4(5(5(3(2(3(x1)))))))))))))))))))) 0(3(2(5(2(4(3(2(4(2(1(4(4(1(3(2(5(0(2(4(x1)))))))))))))))))))) -> 1(1(2(4(0(3(5(0(3(4(1(3(3(4(3(2(4(2(0(5(x1)))))))))))))))))))) 0(3(5(1(1(1(3(2(1(2(2(5(1(2(4(3(5(2(3(2(x1)))))))))))))))))))) -> 1(3(3(1(0(5(1(0(3(1(5(3(0(1(0(2(4(0(0(4(x1)))))))))))))))))))) 0(4(0(4(1(1(4(5(1(0(5(3(3(2(3(1(0(3(3(4(x1)))))))))))))))))))) -> 3(4(4(3(1(3(0(3(4(0(1(2(0(1(4(5(4(3(4(3(x1)))))))))))))))))))) 0(4(3(1(0(5(0(3(0(2(3(1(2(4(5(3(0(1(5(3(x1)))))))))))))))))))) -> 1(5(2(0(3(4(3(5(1(5(1(5(0(2(3(1(4(3(1(1(x1)))))))))))))))))))) 0(4(4(0(4(0(1(2(2(3(5(1(5(3(1(0(2(1(1(3(x1)))))))))))))))))))) -> 3(4(1(1(3(2(3(3(4(4(1(2(4(2(5(1(1(1(4(5(x1)))))))))))))))))))) 0(4(4(2(4(1(2(5(4(2(4(1(1(1(2(2(4(1(0(5(x1)))))))))))))))))))) -> 3(4(4(1(5(1(4(4(1(1(2(4(0(4(3(3(2(2(0(0(x1)))))))))))))))))))) 0(5(2(1(2(3(4(4(1(0(5(2(4(4(1(5(0(3(0(1(x1)))))))))))))))))))) -> 1(4(1(1(5(1(2(1(1(1(4(5(0(4(2(0(4(1(5(2(x1)))))))))))))))))))) 0(5(3(3(1(4(0(3(3(2(5(1(1(0(5(3(2(5(4(4(x1)))))))))))))))))))) -> 5(0(3(0(4(1(0(4(2(4(3(4(1(1(4(5(5(0(5(1(x1)))))))))))))))))))) 0(5(5(1(4(5(1(3(0(3(1(1(2(1(5(2(3(3(1(4(x1)))))))))))))))))))) -> 1(0(0(2(0(1(0(0(5(1(4(5(5(4(1(1(2(5(1(4(x1)))))))))))))))))))) 1(0(0(0(1(2(2(1(2(4(0(2(3(3(0(0(5(3(0(0(x1)))))))))))))))))))) -> 0(3(1(3(1(1(5(4(4(2(4(0(0(0(0(0(1(2(2(2(x1)))))))))))))))))))) 1(0(0(1(5(1(4(0(2(1(4(2(4(4(2(1(0(0(4(0(x1)))))))))))))))))))) -> 3(0(3(1(1(4(1(2(1(0(0(1(0(5(1(4(0(4(3(2(x1)))))))))))))))))))) 1(0(0(2(5(4(1(5(2(3(1(1(3(5(4(1(0(1(2(3(x1)))))))))))))))))))) -> 2(3(2(0(5(3(0(2(0(0(2(1(1(2(1(0(3(1(3(1(x1)))))))))))))))))))) 1(0(0(3(4(3(2(2(0(3(4(1(0(5(1(5(1(0(4(2(x1)))))))))))))))))))) -> 0(4(4(0(4(1(4(0(4(1(0(1(3(2(0(3(3(4(4(3(x1)))))))))))))))))))) 1(0(1(2(1(5(3(2(5(1(1(4(3(2(0(0(0(0(4(5(x1)))))))))))))))))))) -> 2(0(3(5(1(2(0(3(1(0(0(0(2(1(1(4(0(2(1(5(x1)))))))))))))))))))) 1(0(1(5(1(2(1(0(4(2(5(4(1(2(1(4(2(1(5(5(x1)))))))))))))))))))) -> 0(1(3(3(3(2(2(0(0(1(1(4(5(5(0(3(1(0(3(3(x1)))))))))))))))))))) 1(0(3(4(1(2(0(5(1(2(2(1(0(1(2(5(3(2(5(1(x1)))))))))))))))))))) -> 2(0(4(0(5(3(4(1(0(1(0(3(4(0(1(5(1(1(1(1(x1)))))))))))))))))))) 1(0(5(0(5(0(0(3(1(0(5(0(1(0(1(1(0(1(4(5(x1)))))))))))))))))))) -> 1(1(2(0(0(2(2(2(4(1(1(2(3(2(4(2(0(3(1(5(x1)))))))))))))))))))) 1(1(2(4(3(2(4(2(2(4(0(2(0(0(1(0(2(1(2(0(x1)))))))))))))))))))) -> 3(2(2(4(4(3(1(0(3(1(1(0(0(0(1(1(2(0(1(1(x1)))))))))))))))))))) 1(1(3(3(0(3(5(0(1(1(5(3(2(5(1(2(5(2(3(3(x1)))))))))))))))))))) -> 4(0(4(2(3(0(1(3(0(2(0(0(1(4(4(3(3(1(1(3(x1)))))))))))))))))))) 1(2(5(2(1(4(4(4(3(5(0(3(2(3(3(0(4(3(1(1(x1)))))))))))))))))))) -> 3(4(0(1(0(3(1(4(2(0(1(4(2(2(1(5(5(5(3(4(x1)))))))))))))))))))) 1(4(0(2(4(5(3(4(0(3(0(2(5(0(4(2(3(1(1(2(x1)))))))))))))))))))) -> 1(1(1(5(5(3(5(4(5(0(4(4(1(2(2(2(1(1(1(1(x1))))))))))))))))))))
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