details

property	value
status	complete
benchmark	random-395.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n012.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	40.444 seconds
cpu usage	154.799
user time	151.343
system time	3.45555
max virtual memory	1.25465624E8
max residence set size	6552048.0

stage attributes

key	value
starexec-result	YES

output

154.28/40.33 YES 154.62/40.36 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 154.62/40.36 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 154.62/40.36 154.62/40.36 154.62/40.36 Termination w.r.t. Q of the given QTRS could be proven: 154.62/40.36 154.62/40.36 (0) QTRS 154.62/40.36 (1) FlatCCProof [EQUIVALENT, 0 ms] 154.62/40.36 (2) QTRS 154.62/40.36 (3) RootLabelingProof [EQUIVALENT, 0 ms] 154.62/40.36 (4) QTRS 154.62/40.36 (5) DependencyPairsProof [EQUIVALENT, 11 ms] 154.62/40.36 (6) QDP 154.62/40.36 (7) DependencyGraphProof [EQUIVALENT, 2 ms] 154.62/40.36 (8) QDP 154.62/40.36 (9) QDPOrderProof [EQUIVALENT, 303 ms] 154.62/40.36 (10) QDP 154.62/40.36 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 154.62/40.36 (12) QDP 154.62/40.36 (13) QDPOrderProof [EQUIVALENT, 5576 ms] 154.62/40.36 (14) QDP 154.62/40.36 (15) QDPOrderProof [EQUIVALENT, 2741 ms] 154.62/40.36 (16) QDP 154.62/40.36 (17) PisEmptyProof [EQUIVALENT, 0 ms] 154.62/40.36 (18) YES 154.62/40.36 154.62/40.36 154.62/40.36 ---------------------------------------- 154.62/40.36 154.62/40.36 (0) 154.62/40.36 Obligation: 154.62/40.36 Q restricted rewrite system: 154.62/40.36 The TRS R consists of the following rules: 154.62/40.36 154.62/40.36 a(a(b(a(x1)))) -> a(a(b(b(x1)))) 154.62/40.36 b(b(b(b(x1)))) -> b(a(b(a(x1)))) 154.62/40.36 a(b(a(a(x1)))) -> a(a(a(b(x1)))) 154.62/40.36 b(a(b(b(x1)))) -> a(b(a(a(x1)))) 154.62/40.36 154.62/40.36 Q is empty. 154.62/40.36 154.62/40.36 ---------------------------------------- 154.62/40.36 154.62/40.36 (1) FlatCCProof (EQUIVALENT) 154.62/40.36 We used flat context closure [ROOTLAB] 154.62/40.36 As Q is empty the flat context closure was sound AND complete. 154.62/40.36 154.62/40.36 ---------------------------------------- 154.62/40.36 154.62/40.36 (2) 154.62/40.36 Obligation: 154.62/40.36 Q restricted rewrite system: 154.62/40.36 The TRS R consists of the following rules: 154.62/40.36 154.62/40.36 a(a(b(a(x1)))) -> a(a(b(b(x1)))) 154.62/40.36 b(b(b(b(x1)))) -> b(a(b(a(x1)))) 154.62/40.36 a(b(a(a(x1)))) -> a(a(a(b(x1)))) 154.62/40.36 a(b(a(b(b(x1))))) -> a(a(b(a(a(x1))))) 154.62/40.36 b(b(a(b(b(x1))))) -> b(a(b(a(a(x1))))) 154.62/40.36 154.62/40.36 Q is empty. 154.62/40.36 154.62/40.36 ---------------------------------------- 154.62/40.36 154.62/40.36 (3) RootLabelingProof (EQUIVALENT) 154.62/40.36 We used plain root labeling [ROOTLAB] with the following heuristic: 154.62/40.36 LabelAll: All function symbols get labeled 154.62/40.36 154.62/40.36 As Q is empty the root labeling was sound AND complete. 154.62/40.36 154.62/40.36 ---------------------------------------- 154.62/40.36 154.62/40.36 (4) 154.62/40.36 Obligation: 154.62/40.36 Q restricted rewrite system: 154.62/40.36 The TRS R consists of the following rules: 154.62/40.36 154.62/40.36 a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 154.62/40.36 a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) 154.62/40.36 b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) 154.62/40.36 b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) 154.62/40.36 a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) 154.62/40.36 a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) 154.62/40.36 a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) 154.62/40.36 a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1))))) 154.62/40.36 b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) 154.62/40.36 b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1))))) 154.62/40.36 154.62/40.36 Q is empty. 154.62/40.36 154.62/40.36 ---------------------------------------- 154.62/40.36 154.62/40.36 (5) DependencyPairsProof (EQUIVALENT) 154.62/40.36 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 154.62/40.36 ---------------------------------------- 154.62/40.36 154.62/40.36 (6) 154.62/40.36 Obligation: 154.62/40.36 Q DP problem: popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to SRS_Standard 2019-03-29 03.29