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SRS_Standard 2019-03-29 03.29 pair #432290371
details
property
value
status
complete
benchmark
size-12-alpha-3-num-550.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n091.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.77616 seconds
cpu usage
30.5126
user time
28.9927
system time
1.51987
max virtual memory
8.022884E7
max residence set size
3957328.0
stage attributes
key
value
starexec-result
YES
output
30.05/8.72 YES 30.05/8.73 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 30.05/8.73 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 30.05/8.73 30.05/8.73 30.05/8.73 Termination w.r.t. Q of the given QTRS could be proven: 30.05/8.73 30.05/8.73 (0) QTRS 30.05/8.73 (1) QTRS Reverse [EQUIVALENT, 0 ms] 30.05/8.73 (2) QTRS 30.05/8.73 (3) FlatCCProof [EQUIVALENT, 0 ms] 30.05/8.73 (4) QTRS 30.05/8.73 (5) RootLabelingProof [EQUIVALENT, 0 ms] 30.05/8.73 (6) QTRS 30.05/8.73 (7) QTRSRRRProof [EQUIVALENT, 51 ms] 30.05/8.73 (8) QTRS 30.05/8.73 (9) DependencyPairsProof [EQUIVALENT, 22 ms] 30.05/8.73 (10) QDP 30.05/8.73 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 30.05/8.73 (12) QDP 30.05/8.73 (13) QDPOrderProof [EQUIVALENT, 97 ms] 30.05/8.73 (14) QDP 30.05/8.73 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 30.05/8.73 (16) AND 30.05/8.73 (17) QDP 30.05/8.73 (18) UsableRulesProof [EQUIVALENT, 0 ms] 30.05/8.73 (19) QDP 30.05/8.73 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.05/8.73 (21) YES 30.05/8.73 (22) QDP 30.05/8.73 (23) UsableRulesProof [EQUIVALENT, 0 ms] 30.05/8.73 (24) QDP 30.05/8.73 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 30.05/8.73 (26) YES 30.05/8.73 30.05/8.73 30.05/8.73 ---------------------------------------- 30.05/8.73 30.05/8.73 (0) 30.05/8.73 Obligation: 30.05/8.73 Q restricted rewrite system: 30.05/8.73 The TRS R consists of the following rules: 30.05/8.73 30.05/8.73 a(b(x1)) -> x1 30.05/8.73 a(c(x1)) -> b(c(a(b(c(a(x1)))))) 30.05/8.73 b(c(x1)) -> x1 30.05/8.73 30.05/8.73 Q is empty. 30.05/8.73 30.05/8.73 ---------------------------------------- 30.05/8.73 30.05/8.73 (1) QTRS Reverse (EQUIVALENT) 30.05/8.73 We applied the QTRS Reverse Processor [REVERSE]. 30.05/8.73 ---------------------------------------- 30.05/8.73 30.05/8.73 (2) 30.05/8.73 Obligation: 30.05/8.73 Q restricted rewrite system: 30.05/8.73 The TRS R consists of the following rules: 30.05/8.73 30.05/8.73 b(a(x1)) -> x1 30.05/8.73 c(a(x1)) -> a(c(b(a(c(b(x1)))))) 30.05/8.73 c(b(x1)) -> x1 30.05/8.73 30.05/8.73 Q is empty. 30.05/8.73 30.05/8.73 ---------------------------------------- 30.05/8.73 30.05/8.73 (3) FlatCCProof (EQUIVALENT) 30.05/8.73 We used flat context closure [ROOTLAB] 30.05/8.73 As Q is empty the flat context closure was sound AND complete. 30.05/8.73 30.05/8.73 ---------------------------------------- 30.05/8.73 30.05/8.73 (4) 30.05/8.73 Obligation: 30.05/8.73 Q restricted rewrite system: 30.05/8.73 The TRS R consists of the following rules: 30.05/8.73 30.05/8.73 b(b(a(x1))) -> b(x1) 30.05/8.73 a(b(a(x1))) -> a(x1) 30.05/8.73 c(b(a(x1))) -> c(x1) 30.05/8.73 b(c(a(x1))) -> b(a(c(b(a(c(b(x1))))))) 30.05/8.73 a(c(a(x1))) -> a(a(c(b(a(c(b(x1))))))) 30.05/8.73 c(c(a(x1))) -> c(a(c(b(a(c(b(x1))))))) 30.05/8.73 b(c(b(x1))) -> b(x1) 30.05/8.73 a(c(b(x1))) -> a(x1) 30.05/8.73 c(c(b(x1))) -> c(x1) 30.05/8.73 30.05/8.73 Q is empty. 30.05/8.73 30.05/8.73 ---------------------------------------- 30.05/8.73 30.05/8.73 (5) RootLabelingProof (EQUIVALENT) 30.05/8.73 We used plain root labeling [ROOTLAB] with the following heuristic: 30.05/8.73 LabelAll: All function symbols get labeled 30.05/8.73 30.05/8.73 As Q is empty the root labeling was sound AND complete. 30.05/8.73 30.05/8.73 ----------------------------------------
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