details

property	value
status	complete
benchmark	random-65.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n067.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	12.9368 seconds
cpu usage	46.906
user time	45.2056
system time	1.70036
max virtual memory	1.25605604E8
max residence set size	4133656.0

stage attributes

key	value
starexec-result	YES

output

46.30/12.79 YES 46.30/12.85 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 46.30/12.85 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 46.30/12.85 46.30/12.85 46.30/12.85 Termination w.r.t. Q of the given QTRS could be proven: 46.30/12.85 46.30/12.85 (0) QTRS 46.30/12.85 (1) DependencyPairsProof [EQUIVALENT, 34 ms] 46.30/12.85 (2) QDP 46.30/12.85 (3) QDPOrderProof [EQUIVALENT, 76 ms] 46.30/12.85 (4) QDP 46.30/12.85 (5) QDPOrderProof [EQUIVALENT, 99 ms] 46.30/12.85 (6) QDP 46.30/12.85 (7) DependencyGraphProof [EQUIVALENT, 1 ms] 46.30/12.85 (8) AND 46.30/12.85 (9) QDP 46.30/12.85 (10) QDPOrderProof [EQUIVALENT, 217 ms] 46.30/12.85 (11) QDP 46.30/12.85 (12) PisEmptyProof [EQUIVALENT, 0 ms] 46.30/12.85 (13) YES 46.30/12.85 (14) QDP 46.30/12.85 (15) QDPOrderProof [EQUIVALENT, 92 ms] 46.30/12.85 (16) QDP 46.30/12.85 (17) PisEmptyProof [EQUIVALENT, 0 ms] 46.30/12.85 (18) YES 46.30/12.85 46.30/12.85 46.30/12.85 ---------------------------------------- 46.30/12.85 46.30/12.85 (0) 46.30/12.85 Obligation: 46.30/12.85 Q restricted rewrite system: 46.30/12.85 The TRS R consists of the following rules: 46.30/12.85 46.30/12.85 a(b(b(b(x1)))) -> b(a(b(a(x1)))) 46.30/12.85 a(b(b(b(x1)))) -> a(a(a(b(x1)))) 46.30/12.85 b(a(a(b(x1)))) -> b(b(a(b(x1)))) 46.30/12.85 b(a(a(a(x1)))) -> a(a(a(b(x1)))) 46.30/12.85 46.30/12.85 Q is empty. 46.30/12.85 46.30/12.85 ---------------------------------------- 46.30/12.85 46.30/12.85 (1) DependencyPairsProof (EQUIVALENT) 46.30/12.85 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 46.30/12.85 ---------------------------------------- 46.30/12.85 46.30/12.85 (2) 46.30/12.85 Obligation: 46.30/12.85 Q DP problem: 46.30/12.85 The TRS P consists of the following rules: 46.30/12.85 46.30/12.85 A(b(b(b(x1)))) -> B(a(b(a(x1)))) 46.30/12.85 A(b(b(b(x1)))) -> A(b(a(x1))) 46.30/12.85 A(b(b(b(x1)))) -> B(a(x1)) 46.30/12.85 A(b(b(b(x1)))) -> A(x1) 46.30/12.85 A(b(b(b(x1)))) -> A(a(a(b(x1)))) 46.30/12.85 A(b(b(b(x1)))) -> A(a(b(x1))) 46.30/12.85 A(b(b(b(x1)))) -> A(b(x1)) 46.30/12.85 B(a(a(b(x1)))) -> B(b(a(b(x1)))) 46.30/12.85 B(a(a(b(x1)))) -> B(a(b(x1))) 46.30/12.85 B(a(a(a(x1)))) -> A(a(a(b(x1)))) 46.30/12.85 B(a(a(a(x1)))) -> A(a(b(x1))) 46.30/12.85 B(a(a(a(x1)))) -> A(b(x1)) 46.30/12.85 B(a(a(a(x1)))) -> B(x1) 46.30/12.85 46.30/12.85 The TRS R consists of the following rules: 46.30/12.85 46.30/12.85 a(b(b(b(x1)))) -> b(a(b(a(x1)))) 46.30/12.85 a(b(b(b(x1)))) -> a(a(a(b(x1)))) 46.30/12.85 b(a(a(b(x1)))) -> b(b(a(b(x1)))) 46.30/12.85 b(a(a(a(x1)))) -> a(a(a(b(x1)))) 46.30/12.85 46.30/12.85 Q is empty. 46.30/12.85 We have to consider all minimal (P,Q,R)-chains. 46.30/12.85 ---------------------------------------- 46.30/12.85 46.30/12.85 (3) QDPOrderProof (EQUIVALENT) 46.30/12.85 We use the reduction pair processor [LPAR04,JAR06]. 46.30/12.85 46.30/12.85 46.30/12.85 The following pairs can be oriented strictly and are deleted. 46.30/12.85 46.30/12.85 A(b(b(b(x1)))) -> A(b(a(x1))) 46.30/12.85 A(b(b(b(x1)))) -> B(a(x1)) 46.30/12.85 A(b(b(b(x1)))) -> A(x1) 46.30/12.85 A(b(b(b(x1)))) -> A(a(b(x1))) 46.30/12.85 A(b(b(b(x1)))) -> A(b(x1)) 46.30/12.85 B(a(a(b(x1)))) -> B(a(b(x1))) 46.30/12.85 B(a(a(a(x1)))) -> A(a(b(x1))) 46.30/12.85 B(a(a(a(x1)))) -> A(b(x1)) 46.30/12.85 B(a(a(a(x1)))) -> B(x1) 46.30/12.85 The remaining pairs can at least be oriented weakly. 46.30/12.85 Used ordering: Polynomial interpretation [POLO]: 46.30/12.85 46.30/12.85 POL(A(x_1)) = 1 + x_1 46.30/12.85 POL(B(x_1)) = 1 + x_1 46.30/12.85 POL(a(x_1)) = 1 + x_1 46.30/12.85 POL(b(x_1)) = 1 + x_1 popout

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