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SRS_Standard 2019-03-29 03.29 pair #432290227
details
property
value
status
complete
benchmark
size-12-alpha-3-num-76.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.52562 seconds
cpu usage
22.0507
user time
21.1271
system time
0.923606
max virtual memory
3.76467E7
max residence set size
2477584.0
stage attributes
key
value
starexec-result
YES
output
21.31/6.27 YES 21.72/6.39 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 21.72/6.39 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.72/6.39 21.72/6.39 21.72/6.39 Termination w.r.t. Q of the given QTRS could be proven: 21.72/6.39 21.72/6.39 (0) QTRS 21.72/6.39 (1) QTRS Reverse [EQUIVALENT, 0 ms] 21.72/6.39 (2) QTRS 21.72/6.39 (3) FlatCCProof [EQUIVALENT, 0 ms] 21.72/6.39 (4) QTRS 21.72/6.39 (5) RootLabelingProof [EQUIVALENT, 1 ms] 21.72/6.39 (6) QTRS 21.72/6.39 (7) QTRSRRRProof [EQUIVALENT, 36 ms] 21.72/6.39 (8) QTRS 21.72/6.39 (9) DependencyPairsProof [EQUIVALENT, 22 ms] 21.72/6.39 (10) QDP 21.72/6.39 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 21.72/6.39 (12) QDP 21.72/6.39 (13) QDPOrderProof [EQUIVALENT, 329 ms] 21.72/6.39 (14) QDP 21.72/6.39 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 21.72/6.39 (16) TRUE 21.72/6.39 21.72/6.39 21.72/6.39 ---------------------------------------- 21.72/6.39 21.72/6.39 (0) 21.72/6.39 Obligation: 21.72/6.39 Q restricted rewrite system: 21.72/6.39 The TRS R consists of the following rules: 21.72/6.39 21.72/6.39 a(x1) -> x1 21.72/6.39 a(a(x1)) -> b(x1) 21.72/6.39 b(c(x1)) -> x1 21.72/6.39 c(b(x1)) -> a(b(c(c(x1)))) 21.72/6.39 21.72/6.39 Q is empty. 21.72/6.39 21.72/6.39 ---------------------------------------- 21.72/6.39 21.72/6.39 (1) QTRS Reverse (EQUIVALENT) 21.72/6.39 We applied the QTRS Reverse Processor [REVERSE]. 21.72/6.39 ---------------------------------------- 21.72/6.39 21.72/6.39 (2) 21.72/6.39 Obligation: 21.72/6.39 Q restricted rewrite system: 21.72/6.39 The TRS R consists of the following rules: 21.72/6.39 21.72/6.39 a(x1) -> x1 21.72/6.39 a(a(x1)) -> b(x1) 21.72/6.39 c(b(x1)) -> x1 21.72/6.39 b(c(x1)) -> c(c(b(a(x1)))) 21.72/6.39 21.72/6.39 Q is empty. 21.72/6.39 21.72/6.39 ---------------------------------------- 21.72/6.39 21.72/6.39 (3) FlatCCProof (EQUIVALENT) 21.72/6.39 We used flat context closure [ROOTLAB] 21.72/6.39 As Q is empty the flat context closure was sound AND complete. 21.72/6.39 21.72/6.39 ---------------------------------------- 21.72/6.39 21.72/6.39 (4) 21.72/6.39 Obligation: 21.72/6.39 Q restricted rewrite system: 21.72/6.39 The TRS R consists of the following rules: 21.72/6.39 21.72/6.39 a(a(x1)) -> a(x1) 21.72/6.39 b(a(x1)) -> b(x1) 21.72/6.39 c(a(x1)) -> c(x1) 21.72/6.39 a(a(a(x1))) -> a(b(x1)) 21.72/6.39 b(a(a(x1))) -> b(b(x1)) 21.72/6.39 c(a(a(x1))) -> c(b(x1)) 21.72/6.39 a(c(b(x1))) -> a(x1) 21.72/6.39 b(c(b(x1))) -> b(x1) 21.72/6.39 c(c(b(x1))) -> c(x1) 21.72/6.39 a(b(c(x1))) -> a(c(c(b(a(x1))))) 21.72/6.39 b(b(c(x1))) -> b(c(c(b(a(x1))))) 21.72/6.39 c(b(c(x1))) -> c(c(c(b(a(x1))))) 21.72/6.39 21.72/6.39 Q is empty. 21.72/6.39 21.72/6.39 ---------------------------------------- 21.72/6.39 21.72/6.39 (5) RootLabelingProof (EQUIVALENT) 21.72/6.39 We used plain root labeling [ROOTLAB] with the following heuristic: 21.72/6.39 LabelAll: All function symbols get labeled 21.72/6.39 21.72/6.39 As Q is empty the root labeling was sound AND complete. 21.72/6.39 21.72/6.39 ---------------------------------------- 21.72/6.39 21.72/6.39 (6) 21.72/6.39 Obligation: 21.72/6.39 Q restricted rewrite system: 21.72/6.39 The TRS R consists of the following rules:
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