details

property	value
status	complete
benchmark	x04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n031.star.cs.uiowa.edu
space	Secret_07_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	10.2003 seconds
cpu usage	35.8064
user time	34.3305
system time	1.47594
max virtual memory	6.2814388E7
max residence set size	4017932.0

stage attributes

key	value
starexec-result	YES

output

34.97/10.01 YES 35.28/10.05 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 35.28/10.05 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 35.28/10.05 35.28/10.05 35.28/10.05 Termination w.r.t. Q of the given QTRS could be proven: 35.28/10.05 35.28/10.05 (0) QTRS 35.28/10.05 (1) QTRS Reverse [EQUIVALENT, 0 ms] 35.28/10.05 (2) QTRS 35.28/10.05 (3) FlatCCProof [EQUIVALENT, 0 ms] 35.28/10.05 (4) QTRS 35.28/10.05 (5) RootLabelingProof [EQUIVALENT, 0 ms] 35.28/10.05 (6) QTRS 35.28/10.05 (7) QTRSRRRProof [EQUIVALENT, 50 ms] 35.28/10.05 (8) QTRS 35.28/10.05 (9) QTRSRRRProof [EQUIVALENT, 9 ms] 35.28/10.05 (10) QTRS 35.28/10.05 (11) QTRSRRRProof [EQUIVALENT, 28 ms] 35.28/10.05 (12) QTRS 35.28/10.05 (13) QTRSRRRProof [EQUIVALENT, 5 ms] 35.28/10.05 (14) QTRS 35.28/10.05 (15) DependencyPairsProof [EQUIVALENT, 162 ms] 35.28/10.05 (16) QDP 35.28/10.05 (17) DependencyGraphProof [EQUIVALENT, 0 ms] 35.28/10.05 (18) QDP 35.28/10.05 (19) QDPOrderProof [EQUIVALENT, 298 ms] 35.28/10.05 (20) QDP 35.28/10.05 (21) DependencyGraphProof [EQUIVALENT, 0 ms] 35.28/10.05 (22) QDP 35.28/10.05 (23) QDPOrderProof [EQUIVALENT, 52 ms] 35.28/10.05 (24) QDP 35.28/10.05 (25) QDPOrderProof [EQUIVALENT, 55 ms] 35.28/10.05 (26) QDP 35.28/10.05 (27) DependencyGraphProof [EQUIVALENT, 0 ms] 35.28/10.05 (28) TRUE 35.28/10.05 35.28/10.05 35.28/10.05 ---------------------------------------- 35.28/10.05 35.28/10.05 (0) 35.28/10.05 Obligation: 35.28/10.05 Q restricted rewrite system: 35.28/10.05 The TRS R consists of the following rules: 35.28/10.05 35.28/10.05 a(a(x1)) -> a(b(a(b(a(x1))))) 35.28/10.05 c(a(x1)) -> a(b(a(a(c(x1))))) 35.28/10.05 b(b(b(x1))) -> a(b(x1)) 35.28/10.05 c(b(x1)) -> a(a(c(x1))) 35.28/10.05 c(b(x1)) -> b(a(d(x1))) 35.28/10.05 d(d(x1)) -> d(b(d(b(d(x1))))) 35.28/10.05 c(c(x1)) -> c(d(c(x1))) 35.28/10.05 a(a(a(x1))) -> a(b(b(x1))) 35.28/10.05 35.28/10.05 Q is empty. 35.28/10.05 35.28/10.05 ---------------------------------------- 35.28/10.05 35.28/10.05 (1) QTRS Reverse (EQUIVALENT) 35.28/10.05 We applied the QTRS Reverse Processor [REVERSE]. 35.28/10.05 ---------------------------------------- 35.28/10.05 35.28/10.05 (2) 35.28/10.05 Obligation: 35.28/10.05 Q restricted rewrite system: 35.28/10.05 The TRS R consists of the following rules: 35.28/10.05 35.28/10.05 a(a(x1)) -> a(b(a(b(a(x1))))) 35.28/10.05 a(c(x1)) -> c(a(a(b(a(x1))))) 35.28/10.05 b(b(b(x1))) -> b(a(x1)) 35.28/10.05 b(c(x1)) -> c(a(a(x1))) 35.28/10.05 b(c(x1)) -> d(a(b(x1))) 35.28/10.05 d(d(x1)) -> d(b(d(b(d(x1))))) 35.28/10.05 c(c(x1)) -> c(d(c(x1))) 35.28/10.05 a(a(a(x1))) -> b(b(a(x1))) 35.28/10.05 35.28/10.05 Q is empty. 35.28/10.05 35.28/10.05 ---------------------------------------- 35.28/10.05 35.28/10.05 (3) FlatCCProof (EQUIVALENT) 35.28/10.05 We used flat context closure [ROOTLAB] 35.28/10.05 As Q is empty the flat context closure was sound AND complete. 35.28/10.05 35.28/10.05 ---------------------------------------- 35.28/10.05 35.28/10.05 (4) 35.28/10.05 Obligation: 35.28/10.05 Q restricted rewrite system: 35.28/10.05 The TRS R consists of the following rules: 35.28/10.05 35.28/10.05 a(a(x1)) -> a(b(a(b(a(x1))))) 35.28/10.05 b(b(b(x1))) -> b(a(x1)) 35.28/10.05 d(d(x1)) -> d(b(d(b(d(x1))))) 35.28/10.05 c(c(x1)) -> c(d(c(x1))) 35.28/10.05 a(a(c(x1))) -> a(c(a(a(b(a(x1)))))) 35.28/10.05 b(a(c(x1))) -> b(c(a(a(b(a(x1)))))) 35.28/10.05 c(a(c(x1))) -> c(c(a(a(b(a(x1)))))) 35.28/10.05 d(a(c(x1))) -> d(c(a(a(b(a(x1)))))) 35.28/10.05 a(b(c(x1))) -> a(c(a(a(x1)))) popout

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all output return to SRS_Standard 2019-03-29 03.29