Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Derivational Complexity: TRS pair #487103368
details
property
value
status
complete
benchmark
139180.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
298.606 seconds
cpu usage
997.732
user time
989.195
system time
8.53647
max virtual memory
1.8818244E7
max residence set size
1.5149224E7
stage attributes
key
value
starexec-result
KILLED
output
KILLED proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 53 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), 5 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), 1330 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 13 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), 1522 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 117 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 141 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 11 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1036 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 14 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), 7359 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2174 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2140 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2201 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2223 ms] (54) CdtProblem (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5898 ms] (56) CdtProblem (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6195 ms] (58) 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(1(0(1(3(2(0(0(1(3(3(2(1(2(2(1(2(x1)))))))))))))))))) -> 0(3(0(1(0(0(2(0(1(3(3(2(1(1(2(2(1(2(x1)))))))))))))))))) 0(0(1(1(3(0(1(3(0(1(0(1(1(1(2(3(2(3(x1)))))))))))))))))) -> 0(0(3(0(0(1(1(1(3(3(0(1(1(2(2(1(1(3(x1)))))))))))))))))) 0(0(2(2(1(0(1(1(3(2(3(3(2(0(1(3(2(0(x1)))))))))))))))))) -> 0(3(2(1(2(1(2(2(1(3(0(0(2(1(3(3(0(0(x1)))))))))))))))))) 0(0(2(2(1(0(1(3(0(1(3(3(3(3(2(0(2(1(x1)))))))))))))))))) -> 0(3(1(0(2(3(3(0(2(3(0(3(2(0(1(1(2(1(x1)))))))))))))))))) 0(0(2(2(3(2(0(0(3(2(2(0(1(2(2(3(3(3(x1)))))))))))))))))) -> 0(0(2(0(2(2(0(3(3(2(3(3(0(3(2(1(2(2(x1)))))))))))))))))) 0(1(1(0(0(1(3(3(1(3(2(0(3(0(1(0(1(2(x1)))))))))))))))))) -> 0(3(0(1(0(1(0(0(2(1(3(3(0(3(1(2(1(1(x1)))))))))))))))))) 0(1(1(1(2(1(0(0(1(2(2(1(0(3(3(2(1(2(x1)))))))))))))))))) -> 0(1(1(2(3(3(1(1(2(1(0(2(2(1(1(0(2(0(x1)))))))))))))))))) 0(1(1(2(1(1(0(1(1(2(3(1(2(0(3(3(2(2(x1)))))))))))))))))) -> 0(1(2(3(1(1(1(3(1(2(2(2(0(1(1(3(0(2(x1)))))))))))))))))) 0(1(1(2(1(3(2(0(2(1(1(0(1(2(0(3(2(1(x1)))))))))))))))))) -> 0(1(3(1(0(0(1(1(1(2(1(2(2(3(0(2(2(1(x1)))))))))))))))))) 0(1(1(3(2(0(2(0(3(2(2(2(1(3(2(0(3(3(x1)))))))))))))))))) -> 0(0(2(3(0(1(3(2(2(2(3(0(2(3(1(2(3(1(x1)))))))))))))))))) 0(1(1(3(2(2(0(2(0(2(0(3(2(2(0(3(2(2(x1)))))))))))))))))) -> 0(2(0(2(3(3(2(1(0(2(2(2(2(0(3(1(0(2(x1)))))))))))))))))) 0(1(3(0(2(0(0(1(0(1(3(2(2(2(0(3(1(2(x1)))))))))))))))))) -> 0(3(1(1(1(0(2(0(3(1(2(3(0(2(0(0(2(2(x1)))))))))))))))))) 0(1(3(2(0(3(0(3(0(3(2(1(0(0(1(3(2(1(x1)))))))))))))))))) -> 0(3(0(3(1(0(0(2(1(1(2(2(3(0(3(3(1(0(x1)))))))))))))))))) 0(1(3(3(2(3(2(1(3(2(2(0(3(2(0(2(0(1(x1)))))))))))))))))) -> 0(2(2(1(0(2(3(2(3(2(1(3(0(3(2(0(3(1(x1)))))))))))))))))) 0(2(0(0(1(0(3(3(2(0(0(1(0(2(3(0(0(2(x1)))))))))))))))))) -> 0(0(3(0(2(0(1(0(2(0(1(0(3(0(2(3(2(0(x1)))))))))))))))))) 0(3(0(1(0(2(0(0(0(1(3(1(3(2(1(3(3(3(x1)))))))))))))))))) -> 0(3(0(1(0(1(0(3(0(1(2(1(3(3(3(0(2(3(x1)))))))))))))))))) 0(3(0(3(0(1(2(0(2(3(2(0(1(1(0(3(2(2(x1)))))))))))))))))) -> 0(3(1(3(0(2(2(3(0(0(3(0(2(1(2(0(1(2(x1)))))))))))))))))) 0(3(2(2(0(1(3(1(2(3(2(0(1(0(1(1(0(2(x1)))))))))))))))))) -> 0(1(0(3(3(0(1(2(0(2(1(2(0(1(2(2(3(1(x1)))))))))))))))))) 0(3(2(2(1(1(0(0(3(2(1(3(3(2(1(2(2(0(x1)))))))))))))))))) -> 0(3(3(0(2(2(2(1(3(2(2(1(0(1(1(2(3(0(x1)))))))))))))))))) 0(3(2(3(0(1(2(2(1(1(3(2(0(1(2(3(1(0(x1)))))))))))))))))) -> 0(2(1(0(3(2(1(2(3(3(1(0(1(2(2(1(3(0(x1)))))))))))))))))) 0(3(2(3(1(3(0(0(2(2(3(3(3(2(3(3(2(3(x1)))))))))))))))))) -> 0(3(3(3(3(2(2(2(1(0(3(3(3(2(3(0(2(3(x1)))))))))))))))))) 1(0(0(1(3(1(1(0(3(2(0(0(3(3(2(2(1(2(x1)))))))))))))))))) -> 3(1(2(1(2(0(2(0(3(0(1(1(0(0(2(3(3(1(x1)))))))))))))))))) 1(0(0(3(2(1(3(2(3(2(0(1(1(1(2(2(1(2(x1)))))))))))))))))) -> 1(0(1(1(1(2(2(2(2(2(1(2(3(0(0(3(3(1(x1))))))))))))))))))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Derivational Complexity: TRS