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SRS_Standard 2019-03-29 03.29 pair #432289753
details
property
value
status
complete
benchmark
size-12-alpha-3-num-271.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n134.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.58614 seconds
cpu usage
18.2493
user time
17.3185
system time
0.930825
max virtual memory
8.1826232E7
max residence set size
2735712.0
stage attributes
key
value
starexec-result
YES
output
17.87/5.50 YES 18.11/5.52 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 18.11/5.52 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 18.11/5.52 18.11/5.52 18.11/5.52 Termination w.r.t. Q of the given QTRS could be proven: 18.11/5.52 18.11/5.52 (0) QTRS 18.11/5.52 (1) QTRS Reverse [EQUIVALENT, 0 ms] 18.11/5.52 (2) QTRS 18.11/5.52 (3) FlatCCProof [EQUIVALENT, 0 ms] 18.11/5.52 (4) QTRS 18.11/5.52 (5) RootLabelingProof [EQUIVALENT, 0 ms] 18.11/5.52 (6) QTRS 18.11/5.52 (7) QTRSRRRProof [EQUIVALENT, 36 ms] 18.11/5.52 (8) QTRS 18.11/5.52 (9) DependencyPairsProof [EQUIVALENT, 0 ms] 18.11/5.52 (10) QDP 18.11/5.52 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 18.11/5.52 (12) AND 18.11/5.52 (13) QDP 18.11/5.52 (14) UsableRulesProof [EQUIVALENT, 2 ms] 18.11/5.52 (15) QDP 18.11/5.52 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.11/5.52 (17) YES 18.11/5.52 (18) QDP 18.11/5.52 (19) UsableRulesProof [EQUIVALENT, 0 ms] 18.11/5.52 (20) QDP 18.11/5.52 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.11/5.52 (22) YES 18.11/5.52 (23) QDP 18.11/5.52 (24) UsableRulesProof [EQUIVALENT, 15 ms] 18.11/5.52 (25) QDP 18.11/5.52 (26) QDPOrderProof [EQUIVALENT, 44 ms] 18.11/5.52 (27) QDP 18.11/5.52 (28) PisEmptyProof [EQUIVALENT, 0 ms] 18.11/5.52 (29) YES 18.11/5.52 18.11/5.52 18.11/5.52 ---------------------------------------- 18.11/5.52 18.11/5.52 (0) 18.11/5.52 Obligation: 18.11/5.52 Q restricted rewrite system: 18.11/5.52 The TRS R consists of the following rules: 18.11/5.52 18.11/5.52 a(x1) -> x1 18.11/5.52 a(b(x1)) -> c(a(x1)) 18.11/5.52 c(c(x1)) -> c(b(c(b(a(x1))))) 18.11/5.52 18.11/5.52 Q is empty. 18.11/5.52 18.11/5.52 ---------------------------------------- 18.11/5.52 18.11/5.52 (1) QTRS Reverse (EQUIVALENT) 18.11/5.52 We applied the QTRS Reverse Processor [REVERSE]. 18.11/5.52 ---------------------------------------- 18.11/5.52 18.11/5.52 (2) 18.11/5.52 Obligation: 18.11/5.52 Q restricted rewrite system: 18.11/5.52 The TRS R consists of the following rules: 18.11/5.52 18.11/5.52 a(x1) -> x1 18.11/5.52 b(a(x1)) -> a(c(x1)) 18.11/5.52 c(c(x1)) -> a(b(c(b(c(x1))))) 18.11/5.52 18.11/5.52 Q is empty. 18.11/5.52 18.11/5.52 ---------------------------------------- 18.11/5.52 18.11/5.52 (3) FlatCCProof (EQUIVALENT) 18.11/5.52 We used flat context closure [ROOTLAB] 18.11/5.52 As Q is empty the flat context closure was sound AND complete. 18.11/5.52 18.11/5.52 ---------------------------------------- 18.11/5.52 18.11/5.52 (4) 18.11/5.52 Obligation: 18.11/5.52 Q restricted rewrite system: 18.11/5.52 The TRS R consists of the following rules: 18.11/5.52 18.11/5.52 a(a(x1)) -> a(x1) 18.11/5.52 b(a(x1)) -> b(x1) 18.11/5.52 c(a(x1)) -> c(x1) 18.11/5.52 a(b(a(x1))) -> a(a(c(x1))) 18.11/5.52 b(b(a(x1))) -> b(a(c(x1))) 18.11/5.52 c(b(a(x1))) -> c(a(c(x1))) 18.11/5.52 a(c(c(x1))) -> a(a(b(c(b(c(x1)))))) 18.11/5.52 b(c(c(x1))) -> b(a(b(c(b(c(x1)))))) 18.11/5.52 c(c(c(x1))) -> c(a(b(c(b(c(x1)))))) 18.11/5.52 18.11/5.52 Q is empty. 18.11/5.52 18.11/5.52 ---------------------------------------- 18.11/5.52 18.11/5.52 (5) RootLabelingProof (EQUIVALENT) 18.11/5.52 We used plain root labeling [ROOTLAB] with the following heuristic: 18.11/5.52 LabelAll: All function symbols get labeled 18.11/5.52
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