details

property	value
status	complete
benchmark	dup08.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.8856 seconds
cpu usage	42.8311
user time	40.9378
system time	1.89335
max virtual memory	5.8409628E7
max residence set size	4757460.0

stage attributes

key	value
starexec-result	YES

output

42.28/11.73 YES 42.42/11.78 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 42.42/11.78 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 42.42/11.78 42.42/11.78 42.42/11.78 Termination w.r.t. Q of the given QTRS could be proven: 42.42/11.78 42.42/11.78 (0) QTRS 42.42/11.78 (1) FlatCCProof [EQUIVALENT, 0 ms] 42.42/11.78 (2) QTRS 42.42/11.78 (3) RootLabelingProof [EQUIVALENT, 1 ms] 42.42/11.78 (4) QTRS 42.42/11.78 (5) QTRSRRRProof [EQUIVALENT, 84 ms] 42.42/11.78 (6) QTRS 42.42/11.78 (7) DependencyPairsProof [EQUIVALENT, 395 ms] 42.42/11.78 (8) QDP 42.42/11.78 (9) DependencyGraphProof [EQUIVALENT, 11 ms] 42.42/11.78 (10) QDP 42.42/11.78 (11) QDPOrderProof [EQUIVALENT, 342 ms] 42.42/11.78 (12) QDP 42.42/11.78 (13) DependencyGraphProof [EQUIVALENT, 4 ms] 42.42/11.78 (14) AND 42.42/11.78 (15) QDP 42.42/11.78 (16) QDPOrderProof [EQUIVALENT, 0 ms] 42.42/11.78 (17) QDP 42.42/11.78 (18) DependencyGraphProof [EQUIVALENT, 0 ms] 42.42/11.78 (19) TRUE 42.42/11.78 (20) QDP 42.42/11.78 (21) QDPOrderProof [EQUIVALENT, 90 ms] 42.42/11.78 (22) QDP 42.42/11.78 (23) PisEmptyProof [EQUIVALENT, 0 ms] 42.42/11.78 (24) YES 42.42/11.78 42.42/11.78 42.42/11.78 ---------------------------------------- 42.42/11.78 42.42/11.78 (0) 42.42/11.78 Obligation: 42.42/11.78 Q restricted rewrite system: 42.42/11.78 The TRS R consists of the following rules: 42.42/11.78 42.42/11.78 a(a(a(a(b(b(x1)))))) -> b(b(a(a(b(b(x1)))))) 42.42/11.78 b(b(a(a(x1)))) -> a(a(b(b(b(b(x1)))))) 42.42/11.78 b(b(c(c(a(a(x1)))))) -> c(c(c(c(a(a(a(a(b(b(x1)))))))))) 42.42/11.78 42.42/11.78 Q is empty. 42.42/11.78 42.42/11.78 ---------------------------------------- 42.42/11.78 42.42/11.78 (1) FlatCCProof (EQUIVALENT) 42.42/11.78 We used flat context closure [ROOTLAB] 42.42/11.78 As Q is empty the flat context closure was sound AND complete. 42.42/11.78 42.42/11.78 ---------------------------------------- 42.42/11.78 42.42/11.78 (2) 42.42/11.78 Obligation: 42.42/11.78 Q restricted rewrite system: 42.42/11.78 The TRS R consists of the following rules: 42.42/11.78 42.42/11.78 a(a(a(a(a(b(b(x1))))))) -> a(b(b(a(a(b(b(x1))))))) 42.42/11.78 b(a(a(a(a(b(b(x1))))))) -> b(b(b(a(a(b(b(x1))))))) 42.42/11.78 c(a(a(a(a(b(b(x1))))))) -> c(b(b(a(a(b(b(x1))))))) 42.42/11.78 a(b(b(a(a(x1))))) -> a(a(a(b(b(b(b(x1))))))) 42.42/11.78 b(b(b(a(a(x1))))) -> b(a(a(b(b(b(b(x1))))))) 42.42/11.78 c(b(b(a(a(x1))))) -> c(a(a(b(b(b(b(x1))))))) 42.42/11.78 a(b(b(c(c(a(a(x1))))))) -> a(c(c(c(c(a(a(a(a(b(b(x1))))))))))) 42.42/11.78 b(b(b(c(c(a(a(x1))))))) -> b(c(c(c(c(a(a(a(a(b(b(x1))))))))))) 42.42/11.78 c(b(b(c(c(a(a(x1))))))) -> c(c(c(c(c(a(a(a(a(b(b(x1))))))))))) 42.42/11.78 42.42/11.78 Q is empty. 42.42/11.78 42.42/11.78 ---------------------------------------- 42.42/11.78 42.42/11.78 (3) RootLabelingProof (EQUIVALENT) 42.42/11.78 We used plain root labeling [ROOTLAB] with the following heuristic: 42.42/11.78 LabelAll: All function symbols get labeled 42.42/11.78 42.42/11.78 As Q is empty the root labeling was sound AND complete. 42.42/11.78 42.42/11.78 ---------------------------------------- 42.42/11.78 42.42/11.78 (4) 42.42/11.78 Obligation: 42.42/11.78 Q restricted rewrite system: 42.42/11.78 The TRS R consists of the following rules: 42.42/11.78 42.42/11.78 a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))))) 42.42/11.78 a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))) 42.42/11.78 a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))))) 42.42/11.78 b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))))) 42.42/11.78 b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))) 42.42/11.78 b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))))) 42.42/11.78 c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))))) -> c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))))) 42.42/11.78 c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))) -> c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))) 42.42/11.78 c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))))) -> c_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))))) 42.42/11.78 a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1))))))) 42.42/11.78 a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1))))))) 42.42/11.78 a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{c_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x1))))))) 42.42/11.78 b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1))))))) popout

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all output return to SRS_Standard 2019-03-29 03.29