details

property	value
status	complete
benchmark	size-11-alpha-3-num-3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n034.star.cs.uiowa.edu
space	Waldmann_07_size11

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	8.0334 seconds
cpu usage	27.7916
user time	26.387
system time	1.40463
max virtual memory	4.1955188E7
max residence set size	3940984.0

stage attributes

key	value
starexec-result	YES

output

27.29/7.95 YES 27.68/7.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 27.68/7.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.68/7.96 27.68/7.96 27.68/7.96 Termination w.r.t. Q of the given QTRS could be proven: 27.68/7.96 27.68/7.96 (0) QTRS 27.68/7.96 (1) FlatCCProof [EQUIVALENT, 0 ms] 27.68/7.96 (2) QTRS 27.68/7.96 (3) RootLabelingProof [EQUIVALENT, 0 ms] 27.68/7.96 (4) QTRS 27.68/7.96 (5) QTRSRRRProof [EQUIVALENT, 51 ms] 27.68/7.96 (6) QTRS 27.68/7.96 (7) DependencyPairsProof [EQUIVALENT, 30 ms] 27.68/7.96 (8) QDP 27.68/7.96 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 27.68/7.96 (10) QDP 27.68/7.96 (11) QDPOrderProof [EQUIVALENT, 57 ms] 27.68/7.96 (12) QDP 27.68/7.96 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 27.68/7.96 (14) AND 27.68/7.96 (15) QDP 27.68/7.96 (16) UsableRulesProof [EQUIVALENT, 0 ms] 27.68/7.96 (17) QDP 27.68/7.96 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 27.68/7.96 (19) YES 27.68/7.96 (20) QDP 27.68/7.96 (21) UsableRulesProof [EQUIVALENT, 0 ms] 27.68/7.96 (22) QDP 27.68/7.96 (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] 27.68/7.96 (24) YES 27.68/7.96 27.68/7.96 27.68/7.96 ---------------------------------------- 27.68/7.96 27.68/7.96 (0) 27.68/7.96 Obligation: 27.68/7.96 Q restricted rewrite system: 27.68/7.96 The TRS R consists of the following rules: 27.68/7.96 27.68/7.96 a(x1) -> x1 27.68/7.96 a(b(x1)) -> c(b(a(x1))) 27.68/7.96 b(x1) -> a(x1) 27.68/7.96 c(c(x1)) -> b(x1) 27.68/7.96 27.68/7.96 Q is empty. 27.68/7.96 27.68/7.96 ---------------------------------------- 27.68/7.96 27.68/7.96 (1) FlatCCProof (EQUIVALENT) 27.68/7.96 We used flat context closure [ROOTLAB] 27.68/7.96 As Q is empty the flat context closure was sound AND complete. 27.68/7.96 27.68/7.96 ---------------------------------------- 27.68/7.96 27.68/7.96 (2) 27.68/7.96 Obligation: 27.68/7.96 Q restricted rewrite system: 27.68/7.96 The TRS R consists of the following rules: 27.68/7.96 27.68/7.96 a(a(x1)) -> a(x1) 27.68/7.96 b(a(x1)) -> b(x1) 27.68/7.96 c(a(x1)) -> c(x1) 27.68/7.96 a(a(b(x1))) -> a(c(b(a(x1)))) 27.68/7.96 b(a(b(x1))) -> b(c(b(a(x1)))) 27.68/7.96 c(a(b(x1))) -> c(c(b(a(x1)))) 27.68/7.96 a(b(x1)) -> a(a(x1)) 27.68/7.96 b(b(x1)) -> b(a(x1)) 27.68/7.96 c(b(x1)) -> c(a(x1)) 27.68/7.96 a(c(c(x1))) -> a(b(x1)) 27.68/7.96 b(c(c(x1))) -> b(b(x1)) 27.68/7.96 c(c(c(x1))) -> c(b(x1)) 27.68/7.96 27.68/7.96 Q is empty. 27.68/7.96 27.68/7.96 ---------------------------------------- 27.68/7.96 27.68/7.96 (3) RootLabelingProof (EQUIVALENT) 27.68/7.96 We used plain root labeling [ROOTLAB] with the following heuristic: 27.68/7.96 LabelAll: All function symbols get labeled 27.68/7.96 27.68/7.96 As Q is empty the root labeling was sound AND complete. 27.68/7.96 27.68/7.96 ---------------------------------------- 27.68/7.96 27.68/7.96 (4) 27.68/7.96 Obligation: 27.68/7.96 Q restricted rewrite system: 27.68/7.96 The TRS R consists of the following rules: 27.68/7.96 27.68/7.96 a_{a_1}(a_{a_1}(x1)) -> a_{a_1}(x1) 27.68/7.96 a_{a_1}(a_{b_1}(x1)) -> a_{b_1}(x1) 27.68/7.96 a_{a_1}(a_{c_1}(x1)) -> a_{c_1}(x1) 27.68/7.96 b_{a_1}(a_{a_1}(x1)) -> b_{a_1}(x1) 27.68/7.96 b_{a_1}(a_{b_1}(x1)) -> b_{b_1}(x1) 27.68/7.96 b_{a_1}(a_{c_1}(x1)) -> b_{c_1}(x1) 27.68/7.96 c_{a_1}(a_{a_1}(x1)) -> c_{a_1}(x1) 27.68/7.96 c_{a_1}(a_{b_1}(x1)) -> c_{b_1}(x1) 27.68/7.96 c_{a_1}(a_{c_1}(x1)) -> c_{c_1}(x1) popout

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all output return to SRS_Standard 2019-03-29 03.29