details

property	value
status	complete
benchmark	random-90.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n009.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	13.0197 seconds
cpu usage	47.6241
user time	46.1305
system time	1.49353
max virtual memory	1.25526436E8
max residence set size	4017104.0

stage attributes

key	value
starexec-result	YES

output

46.99/12.87 YES 47.49/12.95 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 47.49/12.95 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 47.49/12.95 47.49/12.95 47.49/12.95 Termination w.r.t. Q of the given QTRS could be proven: 47.49/12.95 47.49/12.95 (0) QTRS 47.49/12.95 (1) QTRS Reverse [EQUIVALENT, 0 ms] 47.49/12.95 (2) QTRS 47.49/12.95 (3) DependencyPairsProof [EQUIVALENT, 23 ms] 47.49/12.95 (4) QDP 47.49/12.95 (5) QDPOrderProof [EQUIVALENT, 46 ms] 47.49/12.95 (6) QDP 47.49/12.95 (7) QDPOrderProof [EQUIVALENT, 193 ms] 47.49/12.95 (8) QDP 47.49/12.95 (9) QDPOrderProof [EQUIVALENT, 67 ms] 47.49/12.95 (10) QDP 47.49/12.95 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 47.49/12.95 (12) TRUE 47.49/12.95 47.49/12.95 47.49/12.95 ---------------------------------------- 47.49/12.95 47.49/12.95 (0) 47.49/12.95 Obligation: 47.49/12.95 Q restricted rewrite system: 47.49/12.95 The TRS R consists of the following rules: 47.49/12.95 47.49/12.95 a(a(a(b(x1)))) -> a(b(a(a(x1)))) 47.49/12.95 a(a(b(a(x1)))) -> b(b(b(b(x1)))) 47.49/12.95 b(b(a(b(x1)))) -> a(a(a(a(x1)))) 47.49/12.95 47.49/12.95 Q is empty. 47.49/12.95 47.49/12.95 ---------------------------------------- 47.49/12.95 47.49/12.95 (1) QTRS Reverse (EQUIVALENT) 47.49/12.95 We applied the QTRS Reverse Processor [REVERSE]. 47.49/12.95 ---------------------------------------- 47.49/12.95 47.49/12.95 (2) 47.49/12.95 Obligation: 47.49/12.95 Q restricted rewrite system: 47.49/12.95 The TRS R consists of the following rules: 47.49/12.95 47.49/12.95 b(a(a(a(x1)))) -> a(a(b(a(x1)))) 47.49/12.95 a(b(a(a(x1)))) -> b(b(b(b(x1)))) 47.49/12.95 b(a(b(b(x1)))) -> a(a(a(a(x1)))) 47.49/12.95 47.49/12.95 Q is empty. 47.49/12.95 47.49/12.95 ---------------------------------------- 47.49/12.95 47.49/12.95 (3) DependencyPairsProof (EQUIVALENT) 47.49/12.95 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 47.49/12.95 ---------------------------------------- 47.49/12.95 47.49/12.95 (4) 47.49/12.95 Obligation: 47.49/12.95 Q DP problem: 47.49/12.95 The TRS P consists of the following rules: 47.49/12.95 47.49/12.95 B(a(a(a(x1)))) -> A(a(b(a(x1)))) 47.49/12.95 B(a(a(a(x1)))) -> A(b(a(x1))) 47.49/12.95 B(a(a(a(x1)))) -> B(a(x1)) 47.49/12.95 A(b(a(a(x1)))) -> B(b(b(b(x1)))) 47.49/12.95 A(b(a(a(x1)))) -> B(b(b(x1))) 47.49/12.95 A(b(a(a(x1)))) -> B(b(x1)) 47.49/12.95 A(b(a(a(x1)))) -> B(x1) 47.49/12.95 B(a(b(b(x1)))) -> A(a(a(a(x1)))) 47.49/12.95 B(a(b(b(x1)))) -> A(a(a(x1))) 47.49/12.95 B(a(b(b(x1)))) -> A(a(x1)) 47.49/12.95 B(a(b(b(x1)))) -> A(x1) 47.49/12.95 47.49/12.95 The TRS R consists of the following rules: 47.49/12.95 47.49/12.95 b(a(a(a(x1)))) -> a(a(b(a(x1)))) 47.49/12.95 a(b(a(a(x1)))) -> b(b(b(b(x1)))) 47.49/12.95 b(a(b(b(x1)))) -> a(a(a(a(x1)))) 47.49/12.95 47.49/12.95 Q is empty. 47.49/12.95 We have to consider all minimal (P,Q,R)-chains. 47.49/12.95 ---------------------------------------- 47.49/12.95 47.49/12.95 (5) QDPOrderProof (EQUIVALENT) 47.49/12.95 We use the reduction pair processor [LPAR04,JAR06]. 47.49/12.95 47.49/12.95 47.49/12.95 The following pairs can be oriented strictly and are deleted. 47.49/12.95 47.49/12.95 B(a(a(a(x1)))) -> A(b(a(x1))) 47.49/12.95 B(a(a(a(x1)))) -> B(a(x1)) 47.49/12.95 A(b(a(a(x1)))) -> B(b(b(x1))) 47.49/12.95 A(b(a(a(x1)))) -> B(b(x1)) 47.49/12.95 A(b(a(a(x1)))) -> B(x1) 47.49/12.95 B(a(b(b(x1)))) -> A(a(a(x1))) 47.49/12.95 B(a(b(b(x1)))) -> A(a(x1)) 47.49/12.95 B(a(b(b(x1)))) -> A(x1) 47.49/12.95 The remaining pairs can at least be oriented weakly. popout

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