details

property	value
status	complete
benchmark	96485.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n094.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.78878 seconds
cpu usage	11.1288
user time	10.5835
system time	0.545243
max virtual memory	1.902284E7
max residence set size	1614848.0

stage attributes

key	value
starexec-result	YES

output

10.02/3.44 YES 10.74/3.66 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 10.74/3.66 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.74/3.66 10.74/3.66 10.74/3.66 Termination w.r.t. Q of the given QTRS could be proven: 10.74/3.66 10.74/3.66 (0) QTRS 10.74/3.66 (1) QTRSRRRProof [EQUIVALENT, 156 ms] 10.74/3.66 (2) QTRS 10.74/3.66 (3) DependencyPairsProof [EQUIVALENT, 28 ms] 10.74/3.66 (4) QDP 10.74/3.66 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 10.74/3.66 (6) TRUE 10.74/3.66 10.74/3.66 10.74/3.66 ---------------------------------------- 10.74/3.66 10.74/3.66 (0) 10.74/3.66 Obligation: 10.74/3.66 Q restricted rewrite system: 10.74/3.66 The TRS R consists of the following rules: 10.74/3.66 10.74/3.66 0(1(0(2(x1)))) -> 2(2(2(x1))) 10.74/3.66 0(1(1(1(x1)))) -> 3(1(0(x1))) 10.74/3.66 4(5(1(4(x1)))) -> 1(5(4(4(x1)))) 10.74/3.66 1(2(0(4(1(x1))))) -> 2(5(2(2(x1)))) 10.74/3.66 1(5(1(0(3(x1))))) -> 5(5(0(3(x1)))) 10.74/3.66 1(3(5(1(0(4(x1)))))) -> 4(0(0(0(1(4(x1)))))) 10.74/3.66 3(3(1(4(5(4(5(5(x1)))))))) -> 3(5(3(2(0(5(2(x1))))))) 10.74/3.66 4(2(5(3(1(0(0(5(2(x1))))))))) -> 4(4(1(5(3(5(3(2(x1)))))))) 10.74/3.66 2(2(1(1(0(2(0(1(2(3(x1)))))))))) -> 5(4(4(5(2(5(5(2(3(x1))))))))) 10.74/3.66 2(2(2(3(3(4(3(3(5(4(5(x1))))))))))) -> 5(5(4(2(5(3(5(3(2(0(5(x1))))))))))) 10.74/3.66 4(2(1(1(5(1(0(0(0(2(5(x1))))))))))) -> 5(5(0(3(0(1(4(5(2(5(x1)))))))))) 10.74/3.66 5(4(5(4(2(0(2(2(3(0(0(2(x1)))))))))))) -> 5(3(4(5(0(3(2(1(1(2(2(x1))))))))))) 10.74/3.66 0(2(1(1(3(1(5(0(5(2(3(1(4(x1))))))))))))) -> 3(0(1(5(1(4(4(5(0(5(1(1(4(x1))))))))))))) 10.74/3.66 1(1(2(4(2(2(2(1(1(3(4(1(2(x1))))))))))))) -> 1(5(0(3(4(1(0(5(2(2(2(3(x1)))))))))))) 10.74/3.66 1(4(0(0(2(4(0(3(3(2(0(3(1(x1))))))))))))) -> 1(5(0(5(0(2(0(5(1(0(1(2(5(5(x1)))))))))))))) 10.74/3.66 4(1(4(1(3(0(0(2(1(5(4(1(0(0(x1)))))))))))))) -> 2(3(0(2(5(4(4(3(0(4(1(2(0(x1))))))))))))) 10.74/3.66 4(2(4(4(0(0(0(4(0(3(5(0(3(3(x1)))))))))))))) -> 5(1(0(1(0(1(3(5(3(5(5(0(0(3(x1)))))))))))))) 10.74/3.66 1(2(5(3(3(0(2(2(5(3(2(3(3(3(2(1(x1)))))))))))))))) -> 1(1(0(0(4(1(2(1(0(5(0(0(3(5(0(4(1(x1))))))))))))))))) 10.74/3.66 3(1(2(5(0(3(4(3(1(5(4(1(5(2(0(5(x1)))))))))))))))) -> 3(1(0(4(2(0(5(2(4(4(2(2(1(1(1(5(x1)))))))))))))))) 10.74/3.66 1(3(4(5(1(0(0(3(1(2(4(2(3(5(2(0(4(1(x1)))))))))))))))))) -> 1(3(0(0(4(2(2(5(3(1(0(1(2(1(5(0(1(4(1(x1))))))))))))))))))) 10.74/3.66 1(0(3(3(2(5(0(0(3(0(3(2(4(1(4(0(2(4(2(x1))))))))))))))))))) -> 4(3(4(2(1(4(2(4(3(3(2(2(2(1(1(1(5(3(2(x1))))))))))))))))))) 10.74/3.66 5(3(2(1(0(1(3(1(3(3(0(0(3(2(5(3(0(3(0(x1))))))))))))))))))) -> 5(1(0(3(2(4(0(0(3(2(1(5(1(3(0(5(1(3(1(x1))))))))))))))))))) 10.74/3.66 0(2(2(3(3(5(0(0(5(0(3(1(3(0(1(2(1(5(5(1(x1)))))))))))))))))))) -> 0(0(3(2(5(2(5(2(3(2(1(2(5(4(3(4(5(0(4(x1))))))))))))))))))) 10.74/3.66 1(0(4(2(3(3(5(4(3(5(0(2(0(4(5(0(2(0(2(4(x1)))))))))))))))))))) -> 4(5(4(5(4(1(1(2(5(0(4(3(1(5(4(3(1(5(4(0(4(x1))))))))))))))))))))) 10.74/3.66 1(4(2(3(1(3(4(2(4(1(5(1(4(0(4(5(2(0(0(3(4(x1))))))))))))))))))))) -> 4(3(4(1(3(5(1(1(4(3(1(5(1(3(1(2(4(2(1(3(x1)))))))))))))))))))) 10.74/3.66 10.74/3.66 Q is empty. 10.74/3.66 10.74/3.66 ---------------------------------------- 10.74/3.66 10.74/3.66 (1) QTRSRRRProof (EQUIVALENT) 10.74/3.66 Used ordering: 10.74/3.66 Polynomial interpretation [POLO]: 10.74/3.66 10.74/3.66 POL(0(x_1)) = 235 + x_1 10.74/3.66 POL(1(x_1)) = 191 + x_1 10.74/3.66 POL(2(x_1)) = 157 + x_1 10.74/3.66 POL(3(x_1)) = 381 + x_1 10.74/3.66 POL(4(x_1)) = 237 + x_1 10.74/3.66 POL(5(x_1)) = 136 + x_1 10.74/3.66 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 10.74/3.66 10.74/3.66 0(1(0(2(x1)))) -> 2(2(2(x1))) 10.74/3.66 0(1(1(1(x1)))) -> 3(1(0(x1))) 10.74/3.66 1(2(0(4(1(x1))))) -> 2(5(2(2(x1)))) 10.74/3.66 1(5(1(0(3(x1))))) -> 5(5(0(3(x1)))) 10.74/3.66 1(3(5(1(0(4(x1)))))) -> 4(0(0(0(1(4(x1)))))) 10.74/3.66 3(3(1(4(5(4(5(5(x1)))))))) -> 3(5(3(2(0(5(2(x1))))))) 10.74/3.66 4(2(5(3(1(0(0(5(2(x1))))))))) -> 4(4(1(5(3(5(3(2(x1)))))))) 10.74/3.66 2(2(1(1(0(2(0(1(2(3(x1)))))))))) -> 5(4(4(5(2(5(5(2(3(x1))))))))) 10.74/3.66 2(2(2(3(3(4(3(3(5(4(5(x1))))))))))) -> 5(5(4(2(5(3(5(3(2(0(5(x1))))))))))) 10.74/3.66 4(2(1(1(5(1(0(0(0(2(5(x1))))))))))) -> 5(5(0(3(0(1(4(5(2(5(x1)))))))))) 10.74/3.66 5(4(5(4(2(0(2(2(3(0(0(2(x1)))))))))))) -> 5(3(4(5(0(3(2(1(1(2(2(x1))))))))))) 10.74/3.66 0(2(1(1(3(1(5(0(5(2(3(1(4(x1))))))))))))) -> 3(0(1(5(1(4(4(5(0(5(1(1(4(x1))))))))))))) 10.74/3.66 1(1(2(4(2(2(2(1(1(3(4(1(2(x1))))))))))))) -> 1(5(0(3(4(1(0(5(2(2(2(3(x1)))))))))))) 10.74/3.66 1(4(0(0(2(4(0(3(3(2(0(3(1(x1))))))))))))) -> 1(5(0(5(0(2(0(5(1(0(1(2(5(5(x1)))))))))))))) 10.74/3.66 4(1(4(1(3(0(0(2(1(5(4(1(0(0(x1)))))))))))))) -> 2(3(0(2(5(4(4(3(0(4(1(2(0(x1))))))))))))) 10.74/3.66 4(2(4(4(0(0(0(4(0(3(5(0(3(3(x1)))))))))))))) -> 5(1(0(1(0(1(3(5(3(5(5(0(0(3(x1)))))))))))))) 10.74/3.66 1(2(5(3(3(0(2(2(5(3(2(3(3(3(2(1(x1)))))))))))))))) -> 1(1(0(0(4(1(2(1(0(5(0(0(3(5(0(4(1(x1))))))))))))))))) 10.74/3.66 3(1(2(5(0(3(4(3(1(5(4(1(5(2(0(5(x1)))))))))))))))) -> 3(1(0(4(2(0(5(2(4(4(2(2(1(1(1(5(x1)))))))))))))))) 10.74/3.66 1(3(4(5(1(0(0(3(1(2(4(2(3(5(2(0(4(1(x1)))))))))))))))))) -> 1(3(0(0(4(2(2(5(3(1(0(1(2(1(5(0(1(4(1(x1))))))))))))))))))) 10.74/3.66 1(0(3(3(2(5(0(0(3(0(3(2(4(1(4(0(2(4(2(x1))))))))))))))))))) -> 4(3(4(2(1(4(2(4(3(3(2(2(2(1(1(1(5(3(2(x1))))))))))))))))))) 10.74/3.66 5(3(2(1(0(1(3(1(3(3(0(0(3(2(5(3(0(3(0(x1))))))))))))))))))) -> 5(1(0(3(2(4(0(0(3(2(1(5(1(3(0(5(1(3(1(x1))))))))))))))))))) 10.74/3.66 0(2(2(3(3(5(0(0(5(0(3(1(3(0(1(2(1(5(5(1(x1)))))))))))))))))))) -> 0(0(3(2(5(2(5(2(3(2(1(2(5(4(3(4(5(0(4(x1))))))))))))))))))) 10.74/3.66 1(0(4(2(3(3(5(4(3(5(0(2(0(4(5(0(2(0(2(4(x1)))))))))))))))))))) -> 4(5(4(5(4(1(1(2(5(0(4(3(1(5(4(3(1(5(4(0(4(x1))))))))))))))))))))) 10.74/3.66 1(4(2(3(1(3(4(2(4(1(5(1(4(0(4(5(2(0(0(3(4(x1))))))))))))))))))))) -> 4(3(4(1(3(5(1(1(4(3(1(5(1(3(1(2(4(2(1(3(x1)))))))))))))))))))) 10.74/3.66 10.74/3.66 10.74/3.66 10.74/3.66 10.74/3.66 ---------------------------------------- 10.74/3.66 10.74/3.66 (2) 10.74/3.66 Obligation: 10.74/3.66 Q restricted rewrite system: 10.74/3.66 The TRS R consists of the following rules: 10.74/3.66 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all output return to SRS_Standard 2019-03-29 03.29