details

property	value
status	complete
benchmark	dup12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n005.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	28.7721 seconds
cpu usage	108.651
user time	106.083
system time	2.56836
max virtual memory	4.1280328E7
max residence set size	5335596.0

stage attributes

key	value
starexec-result	YES

output

107.78/28.41 YES 107.78/28.45 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 107.78/28.45 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 107.78/28.45 107.78/28.45 107.78/28.45 Termination w.r.t. Q of the given QTRS could be proven: 107.78/28.45 107.78/28.45 (0) QTRS 107.78/28.45 (1) QTRS Reverse [EQUIVALENT, 0 ms] 107.78/28.45 (2) QTRS 107.78/28.45 (3) FlatCCProof [EQUIVALENT, 0 ms] 107.78/28.45 (4) QTRS 107.78/28.45 (5) RootLabelingProof [EQUIVALENT, 1 ms] 107.78/28.45 (6) QTRS 107.78/28.45 (7) QTRSRRRProof [EQUIVALENT, 103 ms] 107.78/28.45 (8) QTRS 107.78/28.45 (9) DependencyPairsProof [EQUIVALENT, 284 ms] 107.78/28.45 (10) QDP 107.78/28.45 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 107.78/28.45 (12) QDP 107.78/28.45 (13) UsableRulesProof [EQUIVALENT, 47 ms] 107.78/28.45 (14) QDP 107.78/28.45 (15) QDPOrderProof [EQUIVALENT, 239 ms] 107.78/28.45 (16) QDP 107.78/28.45 (17) DependencyGraphProof [EQUIVALENT, 0 ms] 107.78/28.45 (18) QDP 107.78/28.45 (19) QDPOrderProof [EQUIVALENT, 107 ms] 107.78/28.45 (20) QDP 107.78/28.45 (21) QDPOrderProof [EQUIVALENT, 94 ms] 107.78/28.45 (22) QDP 107.78/28.45 (23) DependencyGraphProof [EQUIVALENT, 0 ms] 107.78/28.45 (24) QDP 107.78/28.45 (25) QDPOrderProof [EQUIVALENT, 66 ms] 107.78/28.45 (26) QDP 107.78/28.45 (27) DependencyGraphProof [EQUIVALENT, 0 ms] 107.78/28.45 (28) QDP 107.78/28.45 (29) QDPOrderProof [EQUIVALENT, 3740 ms] 107.78/28.45 (30) QDP 107.78/28.45 (31) PisEmptyProof [EQUIVALENT, 0 ms] 107.78/28.45 (32) YES 107.78/28.45 107.78/28.45 107.78/28.45 ---------------------------------------- 107.78/28.45 107.78/28.45 (0) 107.78/28.45 Obligation: 107.78/28.45 Q restricted rewrite system: 107.78/28.45 The TRS R consists of the following rules: 107.78/28.45 107.78/28.45 b(b(d(d(b(b(x1)))))) -> c(c(d(d(b(b(x1)))))) 107.78/28.45 b(b(a(a(c(c(x1)))))) -> b(b(c(c(x1)))) 107.78/28.45 a(a(d(d(x1)))) -> d(d(c(c(x1)))) 107.78/28.45 b(b(b(b(b(b(x1)))))) -> a(a(b(b(c(c(x1)))))) 107.78/28.45 d(d(c(c(x1)))) -> b(b(d(d(x1)))) 107.78/28.45 d(d(c(c(x1)))) -> d(d(b(b(d(d(x1)))))) 107.78/28.45 d(d(a(a(c(c(x1)))))) -> b(b(b(b(x1)))) 107.78/28.45 107.78/28.45 Q is empty. 107.78/28.45 107.78/28.45 ---------------------------------------- 107.78/28.45 107.78/28.45 (1) QTRS Reverse (EQUIVALENT) 107.78/28.45 We applied the QTRS Reverse Processor [REVERSE]. 107.78/28.45 ---------------------------------------- 107.78/28.45 107.78/28.45 (2) 107.78/28.45 Obligation: 107.78/28.45 Q restricted rewrite system: 107.78/28.45 The TRS R consists of the following rules: 107.78/28.45 107.78/28.45 b(b(d(d(b(b(x1)))))) -> b(b(d(d(c(c(x1)))))) 107.78/28.45 c(c(a(a(b(b(x1)))))) -> c(c(b(b(x1)))) 107.78/28.45 d(d(a(a(x1)))) -> c(c(d(d(x1)))) 107.78/28.45 b(b(b(b(b(b(x1)))))) -> c(c(b(b(a(a(x1)))))) 107.78/28.45 c(c(d(d(x1)))) -> d(d(b(b(x1)))) 107.78/28.45 c(c(d(d(x1)))) -> d(d(b(b(d(d(x1)))))) 107.78/28.45 c(c(a(a(d(d(x1)))))) -> b(b(b(b(x1)))) 107.78/28.45 107.78/28.45 Q is empty. 107.78/28.45 107.78/28.45 ---------------------------------------- 107.78/28.45 107.78/28.45 (3) FlatCCProof (EQUIVALENT) 107.78/28.45 We used flat context closure [ROOTLAB] 107.78/28.45 As Q is empty the flat context closure was sound AND complete. 107.78/28.45 107.78/28.45 ---------------------------------------- 107.78/28.45 107.78/28.45 (4) 107.78/28.45 Obligation: 107.78/28.45 Q restricted rewrite system: 107.78/28.45 The TRS R consists of the following rules: 107.78/28.45 107.78/28.45 b(b(d(d(b(b(x1)))))) -> b(b(d(d(c(c(x1)))))) 107.78/28.45 c(c(a(a(b(b(x1)))))) -> c(c(b(b(x1)))) 107.78/28.45 b(d(d(a(a(x1))))) -> b(c(c(d(d(x1))))) 107.78/28.45 d(d(d(a(a(x1))))) -> d(c(c(d(d(x1))))) 107.78/28.45 c(d(d(a(a(x1))))) -> c(c(c(d(d(x1))))) 107.78/28.45 a(d(d(a(a(x1))))) -> a(c(c(d(d(x1))))) 107.78/28.45 b(b(b(b(b(b(b(x1))))))) -> b(c(c(b(b(a(a(x1))))))) popout

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all output return to SRS_Standard 2019-03-29 03.29