details

property	value
status	complete
benchmark	jw1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n046.star.cs.uiowa.edu
space	Waldmann_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.23778 seconds
cpu usage	13.0453
user time	12.4631
system time	0.582237
max virtual memory	1.2346096E8
max residence set size	1560760.0

stage attributes

key	value
starexec-result	YES

output

12.73/4.13 YES 12.73/4.15 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 12.73/4.15 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.73/4.15 12.73/4.15 12.73/4.15 Termination w.r.t. Q of the given QTRS could be proven: 12.73/4.15 12.73/4.15 (0) QTRS 12.73/4.15 (1) DependencyPairsProof [EQUIVALENT, 0 ms] 12.73/4.15 (2) QDP 12.73/4.15 (3) QDPOrderProof [EQUIVALENT, 14 ms] 12.73/4.15 (4) QDP 12.73/4.15 (5) QDPOrderProof [EQUIVALENT, 182 ms] 12.73/4.15 (6) QDP 12.73/4.15 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 12.73/4.15 (8) TRUE 12.73/4.15 12.73/4.15 12.73/4.15 ---------------------------------------- 12.73/4.15 12.73/4.15 (0) 12.73/4.15 Obligation: 12.73/4.15 Q restricted rewrite system: 12.73/4.15 The TRS R consists of the following rules: 12.73/4.15 12.73/4.15 b(b(b(x1))) -> a(a(a(x1))) 12.73/4.15 a(a(a(x1))) -> b(a(b(x1))) 12.73/4.15 12.73/4.15 Q is empty. 12.73/4.15 12.73/4.15 ---------------------------------------- 12.73/4.15 12.73/4.15 (1) DependencyPairsProof (EQUIVALENT) 12.73/4.15 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 12.73/4.15 ---------------------------------------- 12.73/4.15 12.73/4.15 (2) 12.73/4.15 Obligation: 12.73/4.15 Q DP problem: 12.73/4.15 The TRS P consists of the following rules: 12.73/4.15 12.73/4.15 B(b(b(x1))) -> A(a(a(x1))) 12.73/4.15 B(b(b(x1))) -> A(a(x1)) 12.73/4.15 B(b(b(x1))) -> A(x1) 12.73/4.15 A(a(a(x1))) -> B(a(b(x1))) 12.73/4.15 A(a(a(x1))) -> A(b(x1)) 12.73/4.15 A(a(a(x1))) -> B(x1) 12.73/4.15 12.73/4.15 The TRS R consists of the following rules: 12.73/4.15 12.73/4.15 b(b(b(x1))) -> a(a(a(x1))) 12.73/4.15 a(a(a(x1))) -> b(a(b(x1))) 12.73/4.15 12.73/4.15 Q is empty. 12.73/4.15 We have to consider all minimal (P,Q,R)-chains. 12.73/4.15 ---------------------------------------- 12.73/4.15 12.73/4.15 (3) QDPOrderProof (EQUIVALENT) 12.73/4.15 We use the reduction pair processor [LPAR04,JAR06]. 12.73/4.15 12.73/4.15 12.73/4.15 The following pairs can be oriented strictly and are deleted. 12.73/4.15 12.73/4.15 B(b(b(x1))) -> A(a(x1)) 12.73/4.15 B(b(b(x1))) -> A(x1) 12.73/4.15 A(a(a(x1))) -> A(b(x1)) 12.73/4.15 A(a(a(x1))) -> B(x1) 12.73/4.15 The remaining pairs can at least be oriented weakly. 12.73/4.15 Used ordering: Polynomial interpretation [POLO]: 12.73/4.15 12.73/4.15 POL(A(x_1)) = x_1 12.73/4.15 POL(B(x_1)) = x_1 12.73/4.15 POL(a(x_1)) = 1 + x_1 12.73/4.15 POL(b(x_1)) = 1 + x_1 12.73/4.15 12.73/4.15 The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented: 12.73/4.15 12.73/4.15 a(a(a(x1))) -> b(a(b(x1))) 12.73/4.15 b(b(b(x1))) -> a(a(a(x1))) 12.73/4.15 12.73/4.15 12.73/4.15 ---------------------------------------- 12.73/4.15 12.73/4.15 (4) 12.73/4.15 Obligation: 12.73/4.15 Q DP problem: 12.73/4.15 The TRS P consists of the following rules: 12.73/4.15 12.73/4.15 B(b(b(x1))) -> A(a(a(x1))) 12.73/4.15 A(a(a(x1))) -> B(a(b(x1))) 12.73/4.15 12.73/4.15 The TRS R consists of the following rules: 12.73/4.15 12.73/4.15 b(b(b(x1))) -> a(a(a(x1))) 12.73/4.15 a(a(a(x1))) -> b(a(b(x1))) 12.73/4.15 12.73/4.15 Q is empty. 12.73/4.15 We have to consider all minimal (P,Q,R)-chains. 12.73/4.15 ---------------------------------------- 12.73/4.15 popout

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all output return to SRS_Standard 2019-03-29 03.29