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Derivational Complexity: TRS pair #487103462
details
property
value
status
complete
benchmark
124211.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
293.942 seconds
cpu usage
860.155
user time
852.145
system time
8.00989
max virtual memory
1.8744808E7
max residence set size
1.506186E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 66 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 0 ms] (10) typed CpxTrs (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (12) TRS for Loop Detection (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 985 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 1 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 19 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 10 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 2158 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 92 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 148 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 14 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 881 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 9 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 6763 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2008 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1942 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1958 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1938 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1950 ms] (56) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(1(1(4(4(1(1(0(3(3(x1)))))))))))) -> 2(3(0(1(2(0(4(3(5(4(4(5(2(4(4(4(x1)))))))))))))))) 0(0(2(0(0(0(5(5(0(2(1(1(x1)))))))))))) -> 5(5(4(2(5(0(0(2(2(2(1(5(5(5(5(x1))))))))))))))) 0(0(2(1(0(2(2(0(3(5(3(5(x1)))))))))))) -> 3(0(1(2(4(5(4(4(3(3(0(0(1(4(x1)))))))))))))) 0(0(2(1(4(1(0(1(1(1(1(4(x1)))))))))))) -> 1(0(4(1(5(2(4(2(2(5(2(3(5(5(5(0(4(x1))))))))))))))))) 0(0(2(2(2(0(0(1(3(5(3(2(x1)))))))))))) -> 2(5(5(3(5(5(1(5(2(2(2(5(2(0(4(5(2(x1))))))))))))))))) 0(0(3(3(4(0(1(1(4(5(2(5(x1)))))))))))) -> 2(4(3(0(0(1(4(4(4(3(5(5(2(0(3(x1))))))))))))))) 0(0(4(2(5(4(1(0(2(1(5(1(x1)))))))))))) -> 0(2(5(2(5(2(5(4(0(5(4(4(0(5(2(x1))))))))))))))) 0(1(0(4(1(2(5(2(1(3(4(0(x1)))))))))))) -> 2(5(3(3(1(5(4(4(1(5(5(5(2(3(4(5(5(2(x1)))))))))))))))))) 0(1(0(4(4(0(5(5(2(0(4(0(x1)))))))))))) -> 4(3(2(3(1(5(5(1(5(4(4(4(4(2(x1)))))))))))))) 0(1(1(0(0(3(4(5(1(2(2(4(x1)))))))))))) -> 1(3(5(5(2(4(4(4(3(5(1(3(5(4(5(4(4(2(x1)))))))))))))))))) 0(1(1(0(4(1(3(2(3(0(0(1(x1)))))))))))) -> 4(2(4(4(0(3(5(5(3(0(1(4(5(4(4(2(x1)))))))))))))))) 0(1(1(1(1(4(1(3(0(4(0(1(x1)))))))))))) -> 3(0(5(1(3(1(3(5(2(2(4(3(1(0(4(4(4(x1))))))))))))))))) 0(1(1(1(4(1(0(2(1(0(1(2(x1)))))))))))) -> 4(2(5(1(5(5(2(5(0(4(1(5(5(0(4(1(x1)))))))))))))))) 0(1(4(0(3(3(5(3(0(5(3(5(x1)))))))))))) -> 1(5(5(4(4(5(1(2(4(0(5(5(2(3(0(5(x1)))))))))))))))) 0(2(0(2(2(1(3(2(0(2(0(0(x1)))))))))))) -> 0(5(5(4(5(3(2(0(5(4(4(3(1(0(0(5(1(5(x1)))))))))))))))))) 0(3(1(0(1(1(2(0(3(4(0(2(x1)))))))))))) -> 5(2(4(3(5(2(3(0(1(5(5(4(0(5(2(4(1(x1))))))))))))))))) 0(3(1(4(0(2(1(0(2(5(4(2(x1)))))))))))) -> 5(3(5(2(5(2(4(3(0(4(2(3(5(4(2(x1))))))))))))))) 0(3(1(4(1(0(2(1(1(3(0(5(x1)))))))))))) -> 4(2(1(2(3(5(4(4(3(2(4(2(4(5(4(5(2(x1))))))))))))))))) 0(4(3(2(4(1(3(5(2(2(1(1(x1)))))))))))) -> 2(5(1(2(1(5(5(5(2(5(1(1(2(5(x1)))))))))))))) 0(5(0(4(0(3(3(1(5(2(1(3(x1)))))))))))) -> 4(4(5(5(2(5(1(1(1(5(5(2(5(5(1(5(x1)))))))))))))))) 0(5(2(2(2(0(3(0(4(1(0(0(x1)))))))))))) -> 0(5(4(3(5(3(3(5(3(5(1(0(3(2(x1)))))))))))))) 1(0(3(0(4(4(3(4(1(1(5(0(x1)))))))))))) -> 5(3(5(2(1(5(2(2(3(5(4(3(3(5(x1)))))))))))))) 1(0(4(0(0(4(5(0(0(0(0(2(x1)))))))))))) -> 5(4(3(4(3(3(5(2(3(4(4(4(4(4(5(2(4(x1))))))))))))))))) 1(0(4(0(5(0(0(4(0(1(4(1(x1)))))))))))) -> 5(5(2(3(1(2(5(5(5(5(5(3(5(3(2(0(2(x1))))))))))))))))) 1(0(5(0(3(2(0(3(2(1(5(0(x1)))))))))))) -> 5(2(5(5(0(5(4(2(5(4(4(3(3(5(2(x1)))))))))))))))
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