details

property	value
status	complete
benchmark	z086-variant.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n083.star.cs.uiowa.edu
space	Waldmann_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.0635 seconds
cpu usage	39.5457
user time	38.1202
system time	1.42546
max virtual memory	8.3767384E7
max residence set size	4086820.0

stage attributes

key	value
starexec-result	YES

output

38.86/10.92 YES 38.87/10.95 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 38.87/10.95 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 38.87/10.95 38.87/10.95 38.87/10.95 Termination w.r.t. Q of the given QTRS could be proven: 38.87/10.95 38.87/10.95 (0) QTRS 38.87/10.95 (1) QTRS Reverse [EQUIVALENT, 0 ms] 38.87/10.95 (2) QTRS 38.87/10.95 (3) DependencyPairsProof [EQUIVALENT, 10 ms] 38.87/10.95 (4) QDP 38.87/10.95 (5) QDPOrderProof [EQUIVALENT, 478 ms] 38.87/10.95 (6) QDP 38.87/10.95 (7) QDPOrderProof [EQUIVALENT, 0 ms] 38.87/10.95 (8) QDP 38.87/10.95 (9) QDPOrderProof [EQUIVALENT, 461 ms] 38.87/10.95 (10) QDP 38.87/10.95 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 38.87/10.95 (12) QDP 38.87/10.95 (13) UsableRulesProof [EQUIVALENT, 0 ms] 38.87/10.95 (14) QDP 38.87/10.95 (15) QDPSizeChangeProof [EQUIVALENT, 0 ms] 38.87/10.95 (16) YES 38.87/10.95 38.87/10.95 38.87/10.95 ---------------------------------------- 38.87/10.95 38.87/10.95 (0) 38.87/10.95 Obligation: 38.87/10.95 Q restricted rewrite system: 38.87/10.95 The TRS R consists of the following rules: 38.87/10.95 38.87/10.95 a(a(x1)) -> b(c(x1)) 38.87/10.95 b(b(x1)) -> a(c(c(c(x1)))) 38.87/10.95 c(c(x1)) -> a(b(x1)) 38.87/10.95 38.87/10.95 Q is empty. 38.87/10.95 38.87/10.95 ---------------------------------------- 38.87/10.95 38.87/10.95 (1) QTRS Reverse (EQUIVALENT) 38.87/10.95 We applied the QTRS Reverse Processor [REVERSE]. 38.87/10.95 ---------------------------------------- 38.87/10.95 38.87/10.95 (2) 38.87/10.95 Obligation: 38.87/10.95 Q restricted rewrite system: 38.87/10.95 The TRS R consists of the following rules: 38.87/10.95 38.87/10.95 a(a(x1)) -> c(b(x1)) 38.87/10.95 b(b(x1)) -> c(c(c(a(x1)))) 38.87/10.95 c(c(x1)) -> b(a(x1)) 38.87/10.95 38.87/10.95 Q is empty. 38.87/10.95 38.87/10.95 ---------------------------------------- 38.87/10.95 38.87/10.95 (3) DependencyPairsProof (EQUIVALENT) 38.87/10.95 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 38.87/10.95 ---------------------------------------- 38.87/10.95 38.87/10.95 (4) 38.87/10.95 Obligation: 38.87/10.95 Q DP problem: 38.87/10.95 The TRS P consists of the following rules: 38.87/10.95 38.87/10.95 A(a(x1)) -> C(b(x1)) 38.87/10.95 A(a(x1)) -> B(x1) 38.87/10.95 B(b(x1)) -> C(c(c(a(x1)))) 38.87/10.95 B(b(x1)) -> C(c(a(x1))) 38.87/10.95 B(b(x1)) -> C(a(x1)) 38.87/10.95 B(b(x1)) -> A(x1) 38.87/10.95 C(c(x1)) -> B(a(x1)) 38.87/10.95 C(c(x1)) -> A(x1) 38.87/10.95 38.87/10.95 The TRS R consists of the following rules: 38.87/10.95 38.87/10.95 a(a(x1)) -> c(b(x1)) 38.87/10.95 b(b(x1)) -> c(c(c(a(x1)))) 38.87/10.95 c(c(x1)) -> b(a(x1)) 38.87/10.95 38.87/10.95 Q is empty. 38.87/10.95 We have to consider all minimal (P,Q,R)-chains. 38.87/10.95 ---------------------------------------- 38.87/10.95 38.87/10.95 (5) QDPOrderProof (EQUIVALENT) 38.87/10.95 We use the reduction pair processor [LPAR04,JAR06]. 38.87/10.95 38.87/10.95 38.87/10.95 The following pairs can be oriented strictly and are deleted. 38.87/10.95 38.87/10.95 A(a(x1)) -> C(b(x1)) 38.87/10.95 B(b(x1)) -> C(c(c(a(x1)))) 38.87/10.95 B(b(x1)) -> C(a(x1)) 38.87/10.95 The remaining pairs can at least be oriented weakly. 38.87/10.95 Used ordering: Matrix interpretation [MATRO] with arctic natural numbers [ARCTIC]: 38.87/10.95 38.87/10.95 <<< 38.87/10.95 POL(A(x_1)) = [[1A]] + [[0A, -I, 1A]] * x_1 popout

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all output return to SRS_Standard 2019-03-29 03.29