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SRS_Standard 2019-03-29 03.29 pair #432294853
details
property
value
status
complete
benchmark
random-19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n080.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
258.304 seconds
cpu usage
1013.19
user time
999.353
system time
13.8323
max virtual memory
8.37149E7
max residence set size
1.1953392E7
stage attributes
key
value
starexec-result
YES
output
1012.14/258.06 YES 1012.95/258.22 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 1012.95/258.22 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 1012.95/258.22 1012.95/258.22 1012.95/258.22 Termination w.r.t. Q of the given QTRS could be proven: 1012.95/258.22 1012.95/258.22 (0) QTRS 1012.95/258.22 (1) FlatCCProof [EQUIVALENT, 0 ms] 1012.95/258.22 (2) QTRS 1012.95/258.22 (3) RootLabelingProof [EQUIVALENT, 0 ms] 1012.95/258.22 (4) QTRS 1012.95/258.22 (5) DependencyPairsProof [EQUIVALENT, 32 ms] 1012.95/258.22 (6) QDP 1012.95/258.22 (7) QDPOrderProof [EQUIVALENT, 161 ms] 1012.95/258.22 (8) QDP 1012.95/258.22 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 1012.95/258.22 (10) AND 1012.95/258.22 (11) QDP 1012.95/258.22 (12) QDPOrderProof [EQUIVALENT, 9000 ms] 1012.95/258.22 (13) QDP 1012.95/258.22 (14) QDPOrderProof [EQUIVALENT, 549 ms] 1012.95/258.22 (15) QDP 1012.95/258.22 (16) DependencyGraphProof [EQUIVALENT, 0 ms] 1012.95/258.22 (17) QDP 1012.95/258.22 (18) QDPOrderProof [EQUIVALENT, 2790 ms] 1012.95/258.22 (19) QDP 1012.95/258.22 (20) QDPOrderProof [EQUIVALENT, 24.1 s] 1012.95/258.22 (21) QDP 1012.95/258.22 (22) PisEmptyProof [EQUIVALENT, 0 ms] 1012.95/258.22 (23) YES 1012.95/258.22 (24) QDP 1012.95/258.22 (25) QDPOrderProof [EQUIVALENT, 3257 ms] 1012.95/258.22 (26) QDP 1012.95/258.22 (27) QDPOrderProof [EQUIVALENT, 9160 ms] 1012.95/258.22 (28) QDP 1012.95/258.22 (29) DependencyGraphProof [EQUIVALENT, 0 ms] 1012.95/258.22 (30) TRUE 1012.95/258.22 1012.95/258.22 1012.95/258.22 ---------------------------------------- 1012.95/258.22 1012.95/258.22 (0) 1012.95/258.22 Obligation: 1012.95/258.22 Q restricted rewrite system: 1012.95/258.22 The TRS R consists of the following rules: 1012.95/258.22 1012.95/258.22 b(a(a(b(x1)))) -> a(b(a(b(x1)))) 1012.95/258.22 a(a(a(a(x1)))) -> b(b(b(b(x1)))) 1012.95/258.22 b(b(a(b(x1)))) -> b(b(a(a(x1)))) 1012.95/258.22 1012.95/258.22 Q is empty. 1012.95/258.22 1012.95/258.22 ---------------------------------------- 1012.95/258.22 1012.95/258.22 (1) FlatCCProof (EQUIVALENT) 1012.95/258.22 We used flat context closure [ROOTLAB] 1012.95/258.22 As Q is empty the flat context closure was sound AND complete. 1012.95/258.22 1012.95/258.22 ---------------------------------------- 1012.95/258.22 1012.95/258.22 (2) 1012.95/258.22 Obligation: 1012.95/258.22 Q restricted rewrite system: 1012.95/258.22 The TRS R consists of the following rules: 1012.95/258.22 1012.95/258.22 b(b(a(b(x1)))) -> b(b(a(a(x1)))) 1012.95/258.22 b(b(a(a(b(x1))))) -> b(a(b(a(b(x1))))) 1012.95/258.22 a(b(a(a(b(x1))))) -> a(a(b(a(b(x1))))) 1012.95/258.22 b(a(a(a(a(x1))))) -> b(b(b(b(b(x1))))) 1012.95/258.22 a(a(a(a(a(x1))))) -> a(b(b(b(b(x1))))) 1012.95/258.22 1012.95/258.22 Q is empty. 1012.95/258.22 1012.95/258.22 ---------------------------------------- 1012.95/258.22 1012.95/258.22 (3) RootLabelingProof (EQUIVALENT) 1012.95/258.22 We used plain root labeling [ROOTLAB] with the following heuristic: 1012.95/258.22 LabelAll: All function symbols get labeled 1012.95/258.22 1012.95/258.22 As Q is empty the root labeling was sound AND complete. 1012.95/258.22 1012.95/258.22 ---------------------------------------- 1012.95/258.22 1012.95/258.22 (4) 1012.95/258.22 Obligation: 1012.95/258.22 Q restricted rewrite system: 1012.95/258.22 The TRS R consists of the following rules: 1012.95/258.22 1012.95/258.22 b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))) 1012.95/258.22 b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))) 1012.95/258.22 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) 1012.95/258.22 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) 1012.95/258.22 a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) 1012.95/258.22 a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) 1012.95/258.22 b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1))))) 1012.95/258.22 b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1))))) 1012.95/258.22 a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1))))) 1012.95/258.22 a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1))))) 1012.95/258.22
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