details

property	value
status	complete
benchmark	size-12-alpha-3-num-1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n063.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.4574 seconds
cpu usage	29.1461
user time	27.9904
system time	1.1557
max virtual memory	8.3672572E7
max residence set size	3350224.0

stage attributes

key	value
starexec-result	YES

output

27.75/8.06 YES 28.99/8.59 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 28.99/8.59 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 28.99/8.59 28.99/8.59 28.99/8.59 Termination w.r.t. Q of the given QTRS could be proven: 28.99/8.59 28.99/8.59 (0) QTRS 28.99/8.59 (1) QTRS Reverse [EQUIVALENT, 0 ms] 28.99/8.59 (2) QTRS 28.99/8.59 (3) FlatCCProof [EQUIVALENT, 0 ms] 28.99/8.59 (4) QTRS 28.99/8.59 (5) RootLabelingProof [EQUIVALENT, 0 ms] 28.99/8.59 (6) QTRS 28.99/8.59 (7) QTRSRRRProof [EQUIVALENT, 68 ms] 28.99/8.59 (8) QTRS 28.99/8.59 (9) DependencyPairsProof [EQUIVALENT, 40 ms] 28.99/8.59 (10) QDP 28.99/8.59 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 28.99/8.59 (12) QDP 28.99/8.59 (13) QDPOrderProof [EQUIVALENT, 82 ms] 28.99/8.59 (14) QDP 28.99/8.59 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 28.99/8.59 (16) AND 28.99/8.59 (17) QDP 28.99/8.59 (18) UsableRulesProof [EQUIVALENT, 0 ms] 28.99/8.59 (19) QDP 28.99/8.59 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.99/8.59 (21) YES 28.99/8.59 (22) QDP 28.99/8.59 (23) UsableRulesProof [EQUIVALENT, 0 ms] 28.99/8.59 (24) QDP 28.99/8.59 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 28.99/8.59 (26) YES 28.99/8.59 28.99/8.59 28.99/8.59 ---------------------------------------- 28.99/8.59 28.99/8.59 (0) 28.99/8.59 Obligation: 28.99/8.59 Q restricted rewrite system: 28.99/8.59 The TRS R consists of the following rules: 28.99/8.59 28.99/8.59 a(x1) -> x1 28.99/8.59 a(x1) -> b(x1) 28.99/8.59 a(b(x1)) -> b(a(c(x1))) 28.99/8.59 b(x1) -> x1 28.99/8.59 c(c(x1)) -> a(x1) 28.99/8.59 28.99/8.59 Q is empty. 28.99/8.59 28.99/8.59 ---------------------------------------- 28.99/8.59 28.99/8.59 (1) QTRS Reverse (EQUIVALENT) 28.99/8.59 We applied the QTRS Reverse Processor [REVERSE]. 28.99/8.59 ---------------------------------------- 28.99/8.59 28.99/8.59 (2) 28.99/8.59 Obligation: 28.99/8.59 Q restricted rewrite system: 28.99/8.59 The TRS R consists of the following rules: 28.99/8.59 28.99/8.59 a(x1) -> x1 28.99/8.59 a(x1) -> b(x1) 28.99/8.59 b(a(x1)) -> c(a(b(x1))) 28.99/8.59 b(x1) -> x1 28.99/8.59 c(c(x1)) -> a(x1) 28.99/8.59 28.99/8.59 Q is empty. 28.99/8.59 28.99/8.59 ---------------------------------------- 28.99/8.59 28.99/8.59 (3) FlatCCProof (EQUIVALENT) 28.99/8.59 We used flat context closure [ROOTLAB] 28.99/8.59 As Q is empty the flat context closure was sound AND complete. 28.99/8.59 28.99/8.59 ---------------------------------------- 28.99/8.59 28.99/8.59 (4) 28.99/8.59 Obligation: 28.99/8.59 Q restricted rewrite system: 28.99/8.59 The TRS R consists of the following rules: 28.99/8.59 28.99/8.59 a(a(x1)) -> a(x1) 28.99/8.59 b(a(x1)) -> b(x1) 28.99/8.59 c(a(x1)) -> c(x1) 28.99/8.59 a(a(x1)) -> a(b(x1)) 28.99/8.59 b(a(x1)) -> b(b(x1)) 28.99/8.59 c(a(x1)) -> c(b(x1)) 28.99/8.59 a(b(a(x1))) -> a(c(a(b(x1)))) 28.99/8.59 b(b(a(x1))) -> b(c(a(b(x1)))) 28.99/8.59 c(b(a(x1))) -> c(c(a(b(x1)))) 28.99/8.59 a(b(x1)) -> a(x1) 28.99/8.59 b(b(x1)) -> b(x1) 28.99/8.59 c(b(x1)) -> c(x1) 28.99/8.59 a(c(c(x1))) -> a(a(x1)) 28.99/8.59 b(c(c(x1))) -> b(a(x1)) 28.99/8.59 c(c(c(x1))) -> c(a(x1)) 28.99/8.59 28.99/8.59 Q is empty. popout

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all output return to SRS_Standard 2019-03-29 03.29