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Derivational Complexity: TRS pair #487103778
details
property
value
status
complete
benchmark
138194.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
296.982 seconds
cpu usage
896.682
user time
889.026
system time
7.65568
max virtual memory
1.8812492E7
max residence set size
1.529548E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 49 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), 6 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), 1043 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 53 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 2068 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 178 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 143 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 4 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 980 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 6 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 6903 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2075 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2034 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2031 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2038 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2048 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(2(0(4(2(3(2(2(5(5(4(4(x1)))))))))))) -> 1(0(5(2(0(0(3(0(1(1(0(1(3(2(3(0(x1)))))))))))))))) 0(2(2(4(1(1(3(2(3(5(0(4(x1)))))))))))) -> 0(1(4(0(5(0(1(1(3(1(3(3(1(4(x1)))))))))))))) 0(2(2(4(4(5(4(3(1(0(0(4(x1)))))))))))) -> 3(0(0(2(4(0(1(1(0(4(1(0(0(0(x1)))))))))))))) 0(2(5(5(4(4(4(2(2(3(5(3(x1)))))))))))) -> 5(1(5(0(0(1(4(5(0(5(4(0(0(0(5(2(x1)))))))))))))))) 0(4(4(2(3(2(2(5(5(4(5(1(x1)))))))))))) -> 1(0(4(0(2(0(0(5(5(0(2(1(3(0(3(3(x1)))))))))))))))) 0(5(2(5(3(2(5(4(1(3(2(3(x1)))))))))))) -> 3(2(2(0(1(0(4(0(2(0(0(1(1(1(3(0(x1)))))))))))))))) 0(5(4(4(2(5(4(5(2(2(3(4(x1)))))))))))) -> 2(3(0(3(3(4(1(1(1(0(2(1(0(1(3(0(1(1(x1)))))))))))))))))) 1(1(2(3(4(3(3(3(3(1(4(4(x1)))))))))))) -> 1(2(0(4(0(5(0(1(2(1(3(3(1(0(2(5(x1)))))))))))))))) 1(1(2(5(1(5(4(3(3(3(2(4(x1)))))))))))) -> 0(0(1(0(1(2(5(0(1(4(3(5(1(3(0(x1))))))))))))))) 1(2(3(3(4(4(4(5(3(3(5(4(x1)))))))))))) -> 1(1(5(1(1(1(0(1(4(3(0(1(3(1(2(0(1(4(x1)))))))))))))))))) 1(3(0(5(1(2(3(5(4(4(5(4(x1)))))))))))) -> 1(0(3(1(0(0(0(4(0(0(4(5(1(5(0(2(x1)))))))))))))))) 1(3(1(1(5(3(5(4(3(3(4(2(x1)))))))))))) -> 0(5(1(2(3(1(3(4(3(4(0(0(3(1(1(x1))))))))))))))) 1(3(3(2(3(2(3(2(1(4(4(4(x1)))))))))))) -> 5(1(4(0(5(0(1(5(3(5(0(4(1(1(x1)))))))))))))) 1(3(3(5(4(4(0(1(3(3(5(4(x1)))))))))))) -> 5(5(3(0(0(2(3(1(0(4(2(0(0(3(1(5(x1)))))))))))))))) 1(3(4(3(5(3(2(4(4(2(1(3(x1)))))))))))) -> 0(2(0(1(2(1(2(0(3(0(1(2(1(0(0(3(3(x1))))))))))))))))) 1(3(5(1(3(0(5(4(3(1(3(2(x1)))))))))))) -> 0(0(2(4(1(1(1(1(4(4(0(0(0(4(x1)))))))))))))) 1(4(3(3(2(2(5(2(5(3(3(1(x1)))))))))))) -> 3(0(3(0(1(0(0(0(1(5(4(3(0(5(1(x1))))))))))))))) 1(4(4(2(4(0(5(4(0(3(3(4(x1)))))))))))) -> 3(4(0(3(2(0(0(4(0(1(4(0(3(2(x1)))))))))))))) 1(4(4(5(3(2(0(5(1(4(5(3(x1)))))))))))) -> 1(0(0(5(2(0(4(0(0(2(0(0(3(3(0(5(0(x1))))))))))))))))) 1(5(1(2(3(2(5(2(1(5(4(1(x1)))))))))))) -> 2(0(0(5(3(3(0(1(2(0(4(3(4(2(x1)))))))))))))) 1(5(2(1(5(2(1(4(2(2(4(2(x1)))))))))))) -> 4(4(4(0(2(3(4(3(0(0(0(0(0(2(1(1(x1)))))))))))))))) 1(5(3(1(1(1(5(4(2(2(5(4(x1)))))))))))) -> 1(1(4(5(2(1(5(2(1(5(2(0(0(4(5(x1))))))))))))))) 1(5(4(1(5(2(1(2(4(4(4(4(x1)))))))))))) -> 2(0(2(0(1(3(0(4(4(0(0(2(0(2(4(5(2(4(x1)))))))))))))))))) 1(5(4(3(1(4(4(5(0(2(2(2(x1)))))))))))) -> 3(4(5(5(0(1(3(0(1(5(5(2(0(3(x1)))))))))))))) 1(5(5(3(3(2(3(2(5(4(1(0(x1)))))))))))) -> 4(3(0(0(1(0(4(0(5(0(0(0(2(0(1(2(4(x1)))))))))))))))))
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