details

property	value
status	complete
benchmark	size-12-alpha-3-num-330.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.4546 seconds
cpu usage	41.5917
user time	40.0519
system time	1.53982
max virtual memory	8.1280008E7
max residence set size	3863364.0

stage attributes

key	value
starexec-result	YES

output

40.98/11.30 YES 41.18/11.41 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 41.18/11.41 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 41.18/11.41 41.18/11.41 41.18/11.41 Termination w.r.t. Q of the given QTRS could be proven: 41.18/11.41 41.18/11.41 (0) QTRS 41.18/11.41 (1) QTRS Reverse [EQUIVALENT, 0 ms] 41.18/11.41 (2) QTRS 41.18/11.41 (3) DependencyPairsProof [EQUIVALENT, 13 ms] 41.18/11.41 (4) QDP 41.18/11.41 (5) QDPOrderProof [EQUIVALENT, 78 ms] 41.18/11.41 (6) QDP 41.18/11.41 (7) QDPOrderProof [EQUIVALENT, 0 ms] 41.18/11.41 (8) QDP 41.18/11.41 (9) QDPOrderProof [EQUIVALENT, 26 ms] 41.18/11.41 (10) QDP 41.18/11.41 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 41.18/11.41 (12) QDP 41.18/11.41 (13) UsableRulesProof [EQUIVALENT, 0 ms] 41.18/11.41 (14) QDP 41.18/11.41 (15) QDPSizeChangeProof [EQUIVALENT, 0 ms] 41.18/11.41 (16) YES 41.18/11.41 41.18/11.41 41.18/11.41 ---------------------------------------- 41.18/11.41 41.18/11.41 (0) 41.18/11.41 Obligation: 41.18/11.41 Q restricted rewrite system: 41.18/11.41 The TRS R consists of the following rules: 41.18/11.41 41.18/11.41 a(x1) -> b(x1) 41.18/11.41 a(x1) -> c(x1) 41.18/11.41 a(b(x1)) -> b(a(c(x1))) 41.18/11.41 c(c(x1)) -> a(x1) 41.18/11.41 41.18/11.41 Q is empty. 41.18/11.41 41.18/11.41 ---------------------------------------- 41.18/11.41 41.18/11.41 (1) QTRS Reverse (EQUIVALENT) 41.18/11.41 We applied the QTRS Reverse Processor [REVERSE]. 41.18/11.41 ---------------------------------------- 41.18/11.41 41.18/11.41 (2) 41.18/11.41 Obligation: 41.18/11.41 Q restricted rewrite system: 41.18/11.41 The TRS R consists of the following rules: 41.18/11.41 41.18/11.41 a(x1) -> b(x1) 41.18/11.41 a(x1) -> c(x1) 41.18/11.41 b(a(x1)) -> c(a(b(x1))) 41.18/11.41 c(c(x1)) -> a(x1) 41.18/11.41 41.18/11.41 Q is empty. 41.18/11.41 41.18/11.41 ---------------------------------------- 41.18/11.41 41.18/11.41 (3) DependencyPairsProof (EQUIVALENT) 41.18/11.41 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 41.18/11.41 ---------------------------------------- 41.18/11.41 41.18/11.41 (4) 41.18/11.41 Obligation: 41.18/11.41 Q DP problem: 41.18/11.41 The TRS P consists of the following rules: 41.18/11.41 41.18/11.41 A(x1) -> B(x1) 41.18/11.41 A(x1) -> C(x1) 41.18/11.41 B(a(x1)) -> C(a(b(x1))) 41.18/11.41 B(a(x1)) -> A(b(x1)) 41.18/11.41 B(a(x1)) -> B(x1) 41.18/11.41 C(c(x1)) -> A(x1) 41.18/11.41 41.18/11.41 The TRS R consists of the following rules: 41.18/11.41 41.18/11.41 a(x1) -> b(x1) 41.18/11.41 a(x1) -> c(x1) 41.18/11.41 b(a(x1)) -> c(a(b(x1))) 41.18/11.41 c(c(x1)) -> a(x1) 41.18/11.41 41.18/11.41 Q is empty. 41.18/11.41 We have to consider all minimal (P,Q,R)-chains. 41.18/11.41 ---------------------------------------- 41.18/11.41 41.18/11.41 (5) QDPOrderProof (EQUIVALENT) 41.18/11.41 We use the reduction pair processor [LPAR04,JAR06]. 41.18/11.41 41.18/11.41 41.18/11.41 The following pairs can be oriented strictly and are deleted. 41.18/11.41 41.18/11.41 B(a(x1)) -> B(x1) 41.18/11.41 The remaining pairs can at least be oriented weakly. 41.18/11.41 Used ordering: Matrix interpretation [MATRO] with arctic natural numbers [ARCTIC]: 41.18/11.41 41.18/11.41 <<< 41.18/11.41 POL(A(x_1)) = [[-I]] + [[0A, 0A, 0A]] * x_1 41.18/11.41 >>> popout

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all output return to SRS_Standard 2019-03-29 03.29