details

property	value
status	complete
benchmark	hom01.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n059.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.64403 seconds
cpu usage	34.0408
user time	32.5298
system time	1.511
max virtual memory	5.8806772E7
max residence set size	4110916.0

stage attributes

key	value
starexec-result	YES

output

33.49/9.49 YES 33.74/9.54 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 33.74/9.54 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 33.74/9.54 33.74/9.54 33.74/9.54 Termination w.r.t. Q of the given QTRS could be proven: 33.74/9.54 33.74/9.54 (0) QTRS 33.74/9.54 (1) QTRS Reverse [EQUIVALENT, 0 ms] 33.74/9.54 (2) QTRS 33.74/9.54 (3) DependencyPairsProof [EQUIVALENT, 0 ms] 33.74/9.54 (4) QDP 33.74/9.54 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 33.74/9.54 (6) QDP 33.74/9.54 (7) QDPOrderProof [EQUIVALENT, 874 ms] 33.74/9.54 (8) QDP 33.74/9.54 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 33.74/9.54 (10) QDP 33.74/9.54 (11) QDPOrderProof [EQUIVALENT, 5 ms] 33.74/9.54 (12) QDP 33.74/9.54 (13) PisEmptyProof [EQUIVALENT, 0 ms] 33.74/9.54 (14) YES 33.74/9.54 33.74/9.54 33.74/9.54 ---------------------------------------- 33.74/9.54 33.74/9.54 (0) 33.74/9.54 Obligation: 33.74/9.54 Q restricted rewrite system: 33.74/9.54 The TRS R consists of the following rules: 33.74/9.54 33.74/9.54 a(a(b(d(b(d(a(x1))))))) -> a(a(c(a(a(b(d(x1))))))) 33.74/9.54 a(a(c(x1))) -> c(c(a(a(x1)))) 33.74/9.54 c(c(c(x1))) -> b(d(c(b(d(x1))))) 33.74/9.54 33.74/9.54 Q is empty. 33.74/9.54 33.74/9.54 ---------------------------------------- 33.74/9.54 33.74/9.54 (1) QTRS Reverse (EQUIVALENT) 33.74/9.54 We applied the QTRS Reverse Processor [REVERSE]. 33.74/9.54 ---------------------------------------- 33.74/9.54 33.74/9.54 (2) 33.74/9.54 Obligation: 33.74/9.54 Q restricted rewrite system: 33.74/9.54 The TRS R consists of the following rules: 33.74/9.54 33.74/9.54 a(d(b(d(b(a(a(x1))))))) -> d(b(a(a(c(a(a(x1))))))) 33.74/9.54 c(a(a(x1))) -> a(a(c(c(x1)))) 33.74/9.54 c(c(c(x1))) -> d(b(c(d(b(x1))))) 33.74/9.54 33.74/9.54 Q is empty. 33.74/9.54 33.74/9.54 ---------------------------------------- 33.74/9.54 33.74/9.54 (3) DependencyPairsProof (EQUIVALENT) 33.74/9.54 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 33.74/9.54 ---------------------------------------- 33.74/9.54 33.74/9.54 (4) 33.74/9.54 Obligation: 33.74/9.54 Q DP problem: 33.74/9.54 The TRS P consists of the following rules: 33.74/9.54 33.74/9.54 A(d(b(d(b(a(a(x1))))))) -> A(a(c(a(a(x1))))) 33.74/9.54 A(d(b(d(b(a(a(x1))))))) -> A(c(a(a(x1)))) 33.74/9.54 A(d(b(d(b(a(a(x1))))))) -> C(a(a(x1))) 33.74/9.54 C(a(a(x1))) -> A(a(c(c(x1)))) 33.74/9.54 C(a(a(x1))) -> A(c(c(x1))) 33.74/9.54 C(a(a(x1))) -> C(c(x1)) 33.74/9.54 C(a(a(x1))) -> C(x1) 33.74/9.54 C(c(c(x1))) -> C(d(b(x1))) 33.74/9.54 33.74/9.54 The TRS R consists of the following rules: 33.74/9.54 33.74/9.54 a(d(b(d(b(a(a(x1))))))) -> d(b(a(a(c(a(a(x1))))))) 33.74/9.54 c(a(a(x1))) -> a(a(c(c(x1)))) 33.74/9.54 c(c(c(x1))) -> d(b(c(d(b(x1))))) 33.74/9.54 33.74/9.54 Q is empty. 33.74/9.54 We have to consider all minimal (P,Q,R)-chains. 33.74/9.54 ---------------------------------------- 33.74/9.54 33.74/9.54 (5) DependencyGraphProof (EQUIVALENT) 33.74/9.54 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 1 less node. 33.74/9.54 ---------------------------------------- 33.74/9.54 33.74/9.54 (6) 33.74/9.54 Obligation: 33.74/9.54 Q DP problem: 33.74/9.54 The TRS P consists of the following rules: 33.74/9.54 33.74/9.54 A(d(b(d(b(a(a(x1))))))) -> A(c(a(a(x1)))) 33.74/9.54 A(d(b(d(b(a(a(x1))))))) -> A(a(c(a(a(x1))))) 33.74/9.54 A(d(b(d(b(a(a(x1))))))) -> C(a(a(x1))) 33.74/9.54 C(a(a(x1))) -> A(a(c(c(x1)))) 33.74/9.54 C(a(a(x1))) -> A(c(c(x1))) 33.74/9.54 C(a(a(x1))) -> C(c(x1)) 33.74/9.54 C(a(a(x1))) -> C(x1) popout

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all output return to SRS_Standard 2019-03-29 03.29