details

property	value
status	complete
benchmark	random-554.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n097.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	45.6579 seconds
cpu usage	175.758
user time	172.383
system time	3.37519
max virtual memory	6.3000972E7
max residence set size	6050472.0

stage attributes

key	value
starexec-result	YES

output

175.12/45.52 YES 175.45/45.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 175.45/45.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 175.45/45.57 175.45/45.57 175.45/45.57 Termination w.r.t. Q of the given QTRS could be proven: 175.45/45.57 175.45/45.57 (0) QTRS 175.45/45.57 (1) FlatCCProof [EQUIVALENT, 0 ms] 175.45/45.57 (2) QTRS 175.45/45.57 (3) RootLabelingProof [EQUIVALENT, 0 ms] 175.45/45.57 (4) QTRS 175.45/45.57 (5) DependencyPairsProof [EQUIVALENT, 56 ms] 175.45/45.57 (6) QDP 175.45/45.57 (7) QDPOrderProof [EQUIVALENT, 249 ms] 175.45/45.57 (8) QDP 175.45/45.57 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 175.45/45.57 (10) AND 175.45/45.57 (11) QDP 175.45/45.57 (12) QDPOrderProof [EQUIVALENT, 4803 ms] 175.45/45.57 (13) QDP 175.45/45.57 (14) QDPOrderProof [EQUIVALENT, 1517 ms] 175.45/45.57 (15) QDP 175.45/45.57 (16) QDPOrderProof [EQUIVALENT, 2164 ms] 175.45/45.57 (17) QDP 175.45/45.57 (18) DependencyGraphProof [EQUIVALENT, 0 ms] 175.45/45.57 (19) TRUE 175.45/45.57 (20) QDP 175.45/45.57 (21) QDPOrderProof [EQUIVALENT, 4855 ms] 175.45/45.57 (22) QDP 175.45/45.57 (23) QDPOrderProof [EQUIVALENT, 1721 ms] 175.45/45.57 (24) QDP 175.45/45.57 (25) QDPOrderProof [EQUIVALENT, 1847 ms] 175.45/45.57 (26) QDP 175.45/45.57 (27) DependencyGraphProof [EQUIVALENT, 0 ms] 175.45/45.57 (28) TRUE 175.45/45.57 175.45/45.57 175.45/45.57 ---------------------------------------- 175.45/45.57 175.45/45.57 (0) 175.45/45.57 Obligation: 175.45/45.57 Q restricted rewrite system: 175.45/45.57 The TRS R consists of the following rules: 175.45/45.57 175.45/45.57 b(b(a(b(x1)))) -> a(b(a(b(x1)))) 175.45/45.57 a(a(a(a(x1)))) -> b(b(b(b(x1)))) 175.45/45.57 b(b(a(b(x1)))) -> a(a(a(b(x1)))) 175.45/45.57 175.45/45.57 Q is empty. 175.45/45.57 175.45/45.57 ---------------------------------------- 175.45/45.57 175.45/45.57 (1) FlatCCProof (EQUIVALENT) 175.45/45.57 We used flat context closure [ROOTLAB] 175.45/45.57 As Q is empty the flat context closure was sound AND complete. 175.45/45.57 175.45/45.57 ---------------------------------------- 175.45/45.57 175.45/45.57 (2) 175.45/45.57 Obligation: 175.45/45.57 Q restricted rewrite system: 175.45/45.57 The TRS R consists of the following rules: 175.45/45.57 175.45/45.57 b(b(b(a(b(x1))))) -> b(a(b(a(b(x1))))) 175.45/45.57 a(b(b(a(b(x1))))) -> a(a(b(a(b(x1))))) 175.45/45.57 b(a(a(a(a(x1))))) -> b(b(b(b(b(x1))))) 175.45/45.57 a(a(a(a(a(x1))))) -> a(b(b(b(b(x1))))) 175.45/45.57 b(b(b(a(b(x1))))) -> b(a(a(a(b(x1))))) 175.45/45.57 a(b(b(a(b(x1))))) -> a(a(a(a(b(x1))))) 175.45/45.57 175.45/45.57 Q is empty. 175.45/45.57 175.45/45.57 ---------------------------------------- 175.45/45.57 175.45/45.57 (3) RootLabelingProof (EQUIVALENT) 175.45/45.57 We used plain root labeling [ROOTLAB] with the following heuristic: 175.45/45.57 LabelAll: All function symbols get labeled 175.45/45.57 175.45/45.57 As Q is empty the root labeling was sound AND complete. 175.45/45.57 175.45/45.57 ---------------------------------------- 175.45/45.57 175.45/45.57 (4) 175.45/45.57 Obligation: 175.45/45.57 Q restricted rewrite system: 175.45/45.57 The TRS R consists of the following rules: 175.45/45.57 175.45/45.57 b_{b_1}(b_{b_1}(b_{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))))) 175.45/45.57 b_{b_1}(b_{b_1}(b_{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))))) 175.45/45.57 a_{b_1}(b_{b_1}(b_{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))))) 175.45/45.57 a_{b_1}(b_{b_1}(b_{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))))) 175.45/45.57 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))))) 175.45/45.57 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))))) 175.45/45.57 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))))) 175.45/45.57 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))))) 175.45/45.57 b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) 175.45/45.57 b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) 175.45/45.57 a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) 175.45/45.57 a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) popout

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all output return to SRS_Standard 2019-03-29 03.29