details

property	value
status	complete
benchmark	size-12-alpha-3-num-502.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n173.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.89678 seconds
cpu usage	23.715
user time	22.6543
system time	1.06066
max virtual memory	4.1385492E7
max residence set size	3166072.0

stage attributes

key	value
starexec-result	YES

output

23.57/6.83 YES 23.57/6.85 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 23.57/6.85 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 23.57/6.85 23.57/6.85 23.57/6.85 Termination w.r.t. Q of the given QTRS could be proven: 23.57/6.85 23.57/6.85 (0) QTRS 23.57/6.85 (1) QTRS Reverse [EQUIVALENT, 0 ms] 23.57/6.85 (2) QTRS 23.57/6.85 (3) DependencyPairsProof [EQUIVALENT, 2 ms] 23.57/6.85 (4) QDP 23.57/6.85 (5) MRRProof [EQUIVALENT, 44 ms] 23.57/6.85 (6) QDP 23.57/6.85 (7) QDPOrderProof [EQUIVALENT, 23 ms] 23.57/6.85 (8) QDP 23.57/6.85 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 23.57/6.85 (10) TRUE 23.57/6.85 23.57/6.85 23.57/6.85 ---------------------------------------- 23.57/6.85 23.57/6.85 (0) 23.57/6.85 Obligation: 23.57/6.85 Q restricted rewrite system: 23.57/6.85 The TRS R consists of the following rules: 23.57/6.85 23.57/6.85 a(a(x1)) -> b(b(x1)) 23.57/6.85 a(b(x1)) -> c(c(x1)) 23.57/6.85 b(c(x1)) -> a(a(x1)) 23.57/6.85 23.57/6.85 Q is empty. 23.57/6.85 23.57/6.85 ---------------------------------------- 23.57/6.85 23.57/6.85 (1) QTRS Reverse (EQUIVALENT) 23.57/6.85 We applied the QTRS Reverse Processor [REVERSE]. 23.57/6.85 ---------------------------------------- 23.57/6.85 23.57/6.85 (2) 23.57/6.85 Obligation: 23.57/6.85 Q restricted rewrite system: 23.57/6.85 The TRS R consists of the following rules: 23.57/6.85 23.57/6.85 a(a(x1)) -> b(b(x1)) 23.57/6.85 b(a(x1)) -> c(c(x1)) 23.57/6.85 c(b(x1)) -> a(a(x1)) 23.57/6.85 23.57/6.85 Q is empty. 23.57/6.85 23.57/6.85 ---------------------------------------- 23.57/6.85 23.57/6.85 (3) DependencyPairsProof (EQUIVALENT) 23.57/6.85 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 23.57/6.85 ---------------------------------------- 23.57/6.85 23.57/6.85 (4) 23.57/6.85 Obligation: 23.57/6.85 Q DP problem: 23.57/6.85 The TRS P consists of the following rules: 23.57/6.85 23.57/6.85 A(a(x1)) -> B(b(x1)) 23.57/6.85 A(a(x1)) -> B(x1) 23.57/6.85 B(a(x1)) -> C(c(x1)) 23.57/6.85 B(a(x1)) -> C(x1) 23.57/6.85 C(b(x1)) -> A(a(x1)) 23.57/6.85 C(b(x1)) -> A(x1) 23.57/6.85 23.57/6.85 The TRS R consists of the following rules: 23.57/6.85 23.57/6.85 a(a(x1)) -> b(b(x1)) 23.57/6.85 b(a(x1)) -> c(c(x1)) 23.57/6.85 c(b(x1)) -> a(a(x1)) 23.57/6.85 23.57/6.85 Q is empty. 23.57/6.85 We have to consider all minimal (P,Q,R)-chains. 23.57/6.85 ---------------------------------------- 23.57/6.85 23.57/6.85 (5) MRRProof (EQUIVALENT) 23.57/6.85 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. 23.57/6.85 23.57/6.85 Strictly oriented dependency pairs: 23.57/6.85 23.57/6.85 A(a(x1)) -> B(x1) 23.57/6.85 B(a(x1)) -> C(x1) 23.57/6.85 C(b(x1)) -> A(x1) 23.57/6.85 23.57/6.85 23.57/6.85 Used ordering: Polynomial interpretation [POLO]: 23.57/6.85 23.57/6.85 POL(A(x_1)) = 2*x_1 23.57/6.85 POL(B(x_1)) = 2*x_1 23.57/6.85 POL(C(x_1)) = 2*x_1 23.57/6.85 POL(a(x_1)) = 2 + 2*x_1 23.57/6.85 POL(b(x_1)) = 2 + 2*x_1 23.57/6.85 POL(c(x_1)) = 2 + 2*x_1 23.57/6.85 23.57/6.85 23.57/6.85 ---------------------------------------- 23.57/6.85 popout

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