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SRS_Standard 2019-03-29 03.29 pair #432295231
details
property
value
status
complete
benchmark
15.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n043.star.cs.uiowa.edu
space
Zantema_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.57931 seconds
cpu usage
29.9743
user time
28.6656
system time
1.30872
max virtual memory
2.0184792E7
max residence set size
3995784.0
stage attributes
key
value
starexec-result
YES
output
29.56/8.47 YES 29.73/8.48 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 29.73/8.48 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 29.73/8.48 29.73/8.48 29.73/8.48 Termination w.r.t. Q of the given QTRS could be proven: 29.73/8.48 29.73/8.48 (0) QTRS 29.73/8.48 (1) FlatCCProof [EQUIVALENT, 0 ms] 29.73/8.48 (2) QTRS 29.73/8.48 (3) RootLabelingProof [EQUIVALENT, 0 ms] 29.73/8.48 (4) QTRS 29.73/8.48 (5) DependencyPairsProof [EQUIVALENT, 233 ms] 29.73/8.48 (6) QDP 29.73/8.48 (7) DependencyGraphProof [EQUIVALENT, 3 ms] 29.73/8.48 (8) AND 29.73/8.48 (9) QDP 29.73/8.48 (10) QDPOrderProof [EQUIVALENT, 162 ms] 29.73/8.48 (11) QDP 29.73/8.48 (12) DependencyGraphProof [EQUIVALENT, 0 ms] 29.73/8.48 (13) QDP 29.73/8.48 (14) QDPOrderProof [EQUIVALENT, 83 ms] 29.73/8.48 (15) QDP 29.73/8.48 (16) PisEmptyProof [EQUIVALENT, 0 ms] 29.73/8.48 (17) YES 29.73/8.48 (18) QDP 29.73/8.48 (19) QDPOrderProof [EQUIVALENT, 157 ms] 29.73/8.48 (20) QDP 29.73/8.48 (21) PisEmptyProof [EQUIVALENT, 0 ms] 29.73/8.48 (22) YES 29.73/8.48 29.73/8.48 29.73/8.48 ---------------------------------------- 29.73/8.48 29.73/8.48 (0) 29.73/8.48 Obligation: 29.73/8.48 Q restricted rewrite system: 29.73/8.48 The TRS R consists of the following rules: 29.73/8.48 29.73/8.48 a(x1) -> b(x1) 29.73/8.48 a(a(x1)) -> a(b(a(x1))) 29.73/8.48 a(b(x1)) -> b(b(b(x1))) 29.73/8.48 a(a(a(x1))) -> a(a(b(a(a(x1))))) 29.73/8.48 a(a(b(x1))) -> a(b(b(a(b(x1))))) 29.73/8.48 a(b(a(x1))) -> b(a(b(b(a(x1))))) 29.73/8.48 a(b(b(x1))) -> b(b(b(b(b(x1))))) 29.73/8.48 a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1))))))) 29.73/8.48 a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1))))))) 29.73/8.48 a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1))))))) 29.73/8.48 a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1))))))) 29.73/8.48 a(b(a(a(x1)))) -> b(a(a(b(b(a(a(x1))))))) 29.73/8.48 a(b(a(b(x1)))) -> b(a(b(b(b(a(b(x1))))))) 29.73/8.48 a(b(b(a(x1)))) -> b(b(a(b(b(b(a(x1))))))) 29.73/8.48 a(b(b(b(x1)))) -> b(b(b(b(b(b(b(x1))))))) 29.73/8.48 29.73/8.48 Q is empty. 29.73/8.48 29.73/8.48 ---------------------------------------- 29.73/8.48 29.73/8.48 (1) FlatCCProof (EQUIVALENT) 29.73/8.48 We used flat context closure [ROOTLAB] 29.73/8.48 As Q is empty the flat context closure was sound AND complete. 29.73/8.48 29.73/8.48 ---------------------------------------- 29.73/8.48 29.73/8.48 (2) 29.73/8.48 Obligation: 29.73/8.48 Q restricted rewrite system: 29.73/8.48 The TRS R consists of the following rules: 29.73/8.48 29.73/8.48 a(a(x1)) -> a(b(a(x1))) 29.73/8.48 a(a(a(x1))) -> a(a(b(a(a(x1))))) 29.73/8.48 a(a(b(x1))) -> a(b(b(a(b(x1))))) 29.73/8.48 a(a(a(a(x1)))) -> a(a(a(b(a(a(a(x1))))))) 29.73/8.48 a(a(a(b(x1)))) -> a(a(b(b(a(a(b(x1))))))) 29.73/8.48 a(a(b(a(x1)))) -> a(b(a(b(a(b(a(x1))))))) 29.73/8.48 a(a(b(b(x1)))) -> a(b(b(b(a(b(b(x1))))))) 29.73/8.48 a(a(x1)) -> a(b(x1)) 29.73/8.48 b(a(x1)) -> b(b(x1)) 29.73/8.48 a(a(b(x1))) -> a(b(b(b(x1)))) 29.73/8.48 b(a(b(x1))) -> b(b(b(b(x1)))) 29.73/8.48 a(a(b(a(x1)))) -> a(b(a(b(b(a(x1)))))) 29.73/8.48 b(a(b(a(x1)))) -> b(b(a(b(b(a(x1)))))) 29.73/8.48 a(a(b(b(x1)))) -> a(b(b(b(b(b(x1)))))) 29.73/8.48 b(a(b(b(x1)))) -> b(b(b(b(b(b(x1)))))) 29.73/8.48 a(a(b(a(a(x1))))) -> a(b(a(a(b(b(a(a(x1)))))))) 29.73/8.48 b(a(b(a(a(x1))))) -> b(b(a(a(b(b(a(a(x1)))))))) 29.73/8.48 a(a(b(a(b(x1))))) -> a(b(a(b(b(b(a(b(x1)))))))) 29.73/8.48 b(a(b(a(b(x1))))) -> b(b(a(b(b(b(a(b(x1)))))))) 29.73/8.48 a(a(b(b(a(x1))))) -> a(b(b(a(b(b(b(a(x1)))))))) 29.73/8.48 b(a(b(b(a(x1))))) -> b(b(b(a(b(b(b(a(x1)))))))) 29.73/8.48 a(a(b(b(b(x1))))) -> a(b(b(b(b(b(b(b(x1)))))))) 29.73/8.48 b(a(b(b(b(x1))))) -> b(b(b(b(b(b(b(b(x1)))))))) 29.73/8.48 29.73/8.48 Q is empty. 29.73/8.48 29.73/8.48 ---------------------------------------- 29.73/8.48 29.73/8.48 (3) RootLabelingProof (EQUIVALENT) 29.73/8.48 We used plain root labeling [ROOTLAB] with the following heuristic:
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