details

property	value
status	complete
benchmark	random-472.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n084.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	7.2564 seconds
cpu usage	24.4262
user time	23.1803
system time	1.24598
max virtual memory	4.1919856E7
max residence set size	3900224.0

stage attributes

key	value
starexec-result	YES

output

23.95/7.15 YES 24.24/7.18 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 24.24/7.18 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 24.24/7.18 24.24/7.18 24.24/7.18 Termination w.r.t. Q of the given QTRS could be proven: 24.24/7.18 24.24/7.18 (0) QTRS 24.24/7.18 (1) FlatCCProof [EQUIVALENT, 0 ms] 24.24/7.18 (2) QTRS 24.24/7.18 (3) RootLabelingProof [EQUIVALENT, 0 ms] 24.24/7.18 (4) QTRS 24.24/7.18 (5) QTRSRRRProof [EQUIVALENT, 36 ms] 24.24/7.18 (6) QTRS 24.24/7.18 (7) QTRSRRRProof [EQUIVALENT, 3 ms] 24.24/7.18 (8) QTRS 24.24/7.18 (9) DependencyPairsProof [EQUIVALENT, 2 ms] 24.24/7.18 (10) QDP 24.24/7.18 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 24.24/7.18 (12) AND 24.24/7.18 (13) QDP 24.24/7.18 (14) UsableRulesProof [EQUIVALENT, 0 ms] 24.24/7.18 (15) QDP 24.24/7.18 (16) QDPOrderProof [EQUIVALENT, 16 ms] 24.24/7.18 (17) QDP 24.24/7.18 (18) PisEmptyProof [EQUIVALENT, 0 ms] 24.24/7.18 (19) YES 24.24/7.18 (20) QDP 24.24/7.18 (21) UsableRulesProof [EQUIVALENT, 0 ms] 24.24/7.18 (22) QDP 24.24/7.18 (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.24/7.18 (24) YES 24.24/7.18 24.24/7.18 24.24/7.18 ---------------------------------------- 24.24/7.18 24.24/7.18 (0) 24.24/7.18 Obligation: 24.24/7.18 Q restricted rewrite system: 24.24/7.18 The TRS R consists of the following rules: 24.24/7.18 24.24/7.18 b(a(a(a(x1)))) -> a(b(a(a(x1)))) 24.24/7.18 a(b(a(a(x1)))) -> a(b(b(a(x1)))) 24.24/7.18 b(b(b(a(x1)))) -> b(b(a(b(x1)))) 24.24/7.18 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 24.24/7.18 24.24/7.18 Q is empty. 24.24/7.18 24.24/7.18 ---------------------------------------- 24.24/7.18 24.24/7.18 (1) FlatCCProof (EQUIVALENT) 24.24/7.18 We used flat context closure [ROOTLAB] 24.24/7.18 As Q is empty the flat context closure was sound AND complete. 24.24/7.18 24.24/7.18 ---------------------------------------- 24.24/7.18 24.24/7.18 (2) 24.24/7.18 Obligation: 24.24/7.18 Q restricted rewrite system: 24.24/7.18 The TRS R consists of the following rules: 24.24/7.18 24.24/7.18 a(b(a(a(x1)))) -> a(b(b(a(x1)))) 24.24/7.18 b(b(b(a(x1)))) -> b(b(a(b(x1)))) 24.24/7.18 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 24.24/7.18 b(b(a(a(a(x1))))) -> b(a(b(a(a(x1))))) 24.24/7.18 a(b(a(a(a(x1))))) -> a(a(b(a(a(x1))))) 24.24/7.18 24.24/7.18 Q is empty. 24.24/7.18 24.24/7.18 ---------------------------------------- 24.24/7.18 24.24/7.18 (3) RootLabelingProof (EQUIVALENT) 24.24/7.18 We used plain root labeling [ROOTLAB] with the following heuristic: 24.24/7.18 LabelAll: All function symbols get labeled 24.24/7.18 24.24/7.18 As Q is empty the root labeling was sound AND complete. 24.24/7.18 24.24/7.18 ---------------------------------------- 24.24/7.18 24.24/7.18 (4) 24.24/7.18 Obligation: 24.24/7.18 Q restricted rewrite system: 24.24/7.18 The TRS R consists of the following rules: 24.24/7.18 24.24/7.18 a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) 24.24/7.18 a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) 24.24/7.18 b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) 24.24/7.18 b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) 24.24/7.18 b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 24.24/7.18 b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) 24.24/7.18 b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) 24.24/7.18 b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1))))) 24.24/7.18 a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) 24.24/7.18 a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1))))) 24.24/7.18 24.24/7.18 Q is empty. 24.24/7.18 24.24/7.18 ---------------------------------------- 24.24/7.18 24.24/7.18 (5) QTRSRRRProof (EQUIVALENT) popout

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all output return to SRS_Standard 2019-03-29 03.29