details

property	value
status	complete
benchmark	07.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	Bouchare_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	10.585 seconds
cpu usage	27.5197
user time	26.1007
system time	1.41904
max virtual memory	6.2800792E7
max residence set size	3941620.0

stage attributes

key	value
starexec-result	YES

output

27.20/7.76 YES 27.20/7.79 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 27.20/7.79 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.20/7.79 27.20/7.79 27.20/7.79 Termination w.r.t. Q of the given QTRS could be proven: 27.20/7.79 27.20/7.79 (0) QTRS 27.20/7.79 (1) DependencyPairsProof [EQUIVALENT, 0 ms] 27.20/7.79 (2) QDP 27.20/7.79 (3) MRRProof [EQUIVALENT, 62 ms] 27.20/7.79 (4) QDP 27.20/7.79 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 27.20/7.79 (6) AND 27.20/7.79 (7) QDP 27.20/7.79 (8) QDPOrderProof [EQUIVALENT, 0 ms] 27.20/7.79 (9) QDP 27.20/7.79 (10) PisEmptyProof [EQUIVALENT, 0 ms] 27.20/7.79 (11) YES 27.20/7.79 (12) QDP 27.20/7.79 (13) QDPOrderProof [EQUIVALENT, 0 ms] 27.20/7.79 (14) QDP 27.20/7.79 (15) QDPOrderProof [EQUIVALENT, 32 ms] 27.20/7.79 (16) QDP 27.20/7.79 (17) PisEmptyProof [EQUIVALENT, 0 ms] 27.20/7.79 (18) YES 27.20/7.79 27.20/7.79 27.20/7.79 ---------------------------------------- 27.20/7.79 27.20/7.79 (0) 27.20/7.79 Obligation: 27.20/7.79 Q restricted rewrite system: 27.20/7.79 The TRS R consists of the following rules: 27.20/7.79 27.20/7.79 b(a(x1)) -> b(b(x1)) 27.20/7.79 b(a(b(x1))) -> b(a(a(x1))) 27.20/7.79 a(a(a(x1))) -> a(b(b(x1))) 27.20/7.79 27.20/7.79 Q is empty. 27.20/7.79 27.20/7.79 ---------------------------------------- 27.20/7.79 27.20/7.79 (1) DependencyPairsProof (EQUIVALENT) 27.20/7.79 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 27.20/7.79 ---------------------------------------- 27.20/7.79 27.20/7.79 (2) 27.20/7.79 Obligation: 27.20/7.79 Q DP problem: 27.20/7.79 The TRS P consists of the following rules: 27.20/7.79 27.20/7.79 B(a(x1)) -> B(b(x1)) 27.20/7.79 B(a(x1)) -> B(x1) 27.20/7.79 B(a(b(x1))) -> B(a(a(x1))) 27.20/7.79 B(a(b(x1))) -> A(a(x1)) 27.20/7.79 B(a(b(x1))) -> A(x1) 27.20/7.79 A(a(a(x1))) -> A(b(b(x1))) 27.20/7.79 A(a(a(x1))) -> B(b(x1)) 27.20/7.79 A(a(a(x1))) -> B(x1) 27.20/7.79 27.20/7.79 The TRS R consists of the following rules: 27.20/7.79 27.20/7.79 b(a(x1)) -> b(b(x1)) 27.20/7.79 b(a(b(x1))) -> b(a(a(x1))) 27.20/7.79 a(a(a(x1))) -> a(b(b(x1))) 27.20/7.79 27.20/7.79 Q is empty. 27.20/7.79 We have to consider all minimal (P,Q,R)-chains. 27.20/7.79 ---------------------------------------- 27.20/7.79 27.20/7.79 (3) MRRProof (EQUIVALENT) 27.20/7.79 By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented. 27.20/7.79 27.20/7.79 Strictly oriented dependency pairs: 27.20/7.79 27.20/7.79 B(a(x1)) -> B(x1) 27.20/7.79 B(a(b(x1))) -> A(x1) 27.20/7.79 A(a(a(x1))) -> B(b(x1)) 27.20/7.79 A(a(a(x1))) -> B(x1) 27.20/7.79 27.20/7.79 27.20/7.79 Used ordering: Polynomial interpretation [POLO]: 27.20/7.79 27.20/7.79 POL(A(x_1)) = 3 + 2*x_1 27.20/7.79 POL(B(x_1)) = 2 + x_1 27.20/7.79 POL(a(x_1)) = 1 + 2*x_1 27.20/7.79 POL(b(x_1)) = 1 + 2*x_1 27.20/7.79 27.20/7.79 27.20/7.79 ---------------------------------------- 27.20/7.79 27.20/7.79 (4) 27.20/7.79 Obligation: 27.20/7.79 Q DP problem: 27.20/7.79 The TRS P consists of the following rules: 27.20/7.79 27.20/7.79 B(a(x1)) -> B(b(x1)) 27.20/7.79 B(a(b(x1))) -> B(a(a(x1))) 27.20/7.79 B(a(b(x1))) -> A(a(x1)) popout

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all output return to SRS_Standard 2019-03-29 03.29