details

property	value
status	complete
benchmark	85834.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n148.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.79177 seconds
cpu usage	8.30214
user time	7.98609
system time	0.316046
max virtual memory	3.7638588E7
max residence set size	833924.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 167 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 76 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(1(2(x1))) -> 1(3(2(x1))) 1(1(4(2(3(x1))))) -> 1(5(4(4(x1)))) 2(2(1(3(5(x1))))) -> 1(2(0(5(x1)))) 3(0(0(2(1(x1))))) -> 0(5(4(0(x1)))) 4(3(2(5(0(x1))))) -> 3(4(1(5(5(x1))))) 0(0(0(3(2(5(x1)))))) -> 2(0(5(5(4(5(x1)))))) 2(2(1(1(3(2(x1)))))) -> 2(1(4(0(0(x1))))) 3(3(1(1(2(2(x1)))))) -> 3(3(0(0(2(x1))))) 0(2(5(1(0(4(2(2(x1)))))))) -> 0(0(3(5(1(5(4(x1))))))) 4(0(5(3(5(1(3(5(x1)))))))) -> 4(0(0(1(3(0(1(5(x1)))))))) 4(4(4(3(5(1(4(0(x1)))))))) -> 3(0(2(2(2(2(3(2(x1)))))))) 0(0(5(3(2(2(5(0(3(x1))))))))) -> 2(5(5(4(2(2(5(0(3(x1))))))))) 3(2(2(0(0(0(0(3(1(0(5(x1))))))))))) -> 0(4(3(0(4(4(2(4(1(4(0(5(x1)))))))))))) 4(3(3(3(5(0(0(3(2(4(4(1(2(x1))))))))))))) -> 4(4(5(2(2(0(5(0(1(4(3(0(x1)))))))))))) 4(4(3(3(1(2(2(5(3(5(3(2(3(x1))))))))))))) -> 4(1(4(0(0(2(5(4(4(2(0(3(x1)))))))))))) 0(0(5(0(1(4(4(3(5(2(0(0(3(3(x1)))))))))))))) -> 2(1(2(1(2(0(4(0(2(2(4(3(3(5(4(x1))))))))))))))) 3(0(1(5(5(1(0(4(0(0(2(1(0(3(x1)))))))))))))) -> 3(4(0(1(2(5(2(2(0(3(0(4(5(1(x1)))))))))))))) 5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> 2(4(5(0(2(0(3(0(2(5(3(1(3(3(x1)))))))))))))) 1(0(4(3(2(1(1(1(2(4(4(5(5(0(1(x1))))))))))))))) -> 1(0(2(4(5(5(0(1(1(4(4(5(0(1(x1)))))))))))))) 3(4(1(1(4(4(0(4(4(2(4(1(0(0(5(3(2(x1))))))))))))))))) -> 3(5(5(5(0(1(3(2(4(2(0(3(5(3(0(x1))))))))))))))) 0(2(1(3(5(3(4(1(1(4(4(0(4(3(4(1(0(2(x1)))))))))))))))))) -> 1(5(2(2(0(3(2(3(4(2(0(1(1(1(3(2(1(x1))))))))))))))))) 3(3(0(0(1(2(3(5(3(0(5(2(0(0(2(4(4(1(x1)))))))))))))))))) -> 2(2(4(1(4(4(2(5(2(2(5(1(4(2(5(2(0(4(1(x1))))))))))))))))))) 3(3(0(5(2(3(1(3(0(0(3(1(5(2(2(1(2(2(x1)))))))))))))))))) -> 1(0(3(0(4(2(4(3(2(0(4(2(1(5(5(2(2(x1))))))))))))))))) 4(5(4(0(1(1(5(5(4(5(3(2(1(3(2(4(4(2(x1)))))))))))))))))) -> 3(4(5(5(3(0(4(3(3(3(0(5(3(2(2(5(0(x1))))))))))))))))) 0(0(4(1(2(3(3(5(5(2(0(3(1(2(2(4(0(1(5(x1))))))))))))))))))) -> 2(2(0(1(0(1(5(0(1(0(0(5(0(1(1(4(5(x1))))))))))))))))) 0(5(0(3(2(3(2(3(0(1(5(5(5(3(4(0(0(2(2(x1))))))))))))))))))) -> 2(2(5(4(0(0(1(5(5(3(2(2(5(0(0(5(4(0(x1)))))))))))))))))) 4(0(3(4(1(3(2(0(0(0(2(1(0(1(1(3(1(5(1(x1))))))))))))))))))) -> 0(3(5(3(4(5(1(0(0(3(1(0(2(4(1(3(3(0(x1)))))))))))))))))) 4(4(5(4(5(4(3(1(2(2(0(2(5(4(2(0(4(1(2(x1))))))))))))))))))) -> 0(3(5(5(2(0(3(4(2(4(5(0(2(1(3(2(2(1(x1)))))))))))))))))) 3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> 3(4(5(0(5(3(1(3(5(5(5(4(0(4(1(2(5(5(0(x1))))))))))))))))))) 2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> 5(4(5(4(1(3(4(3(0(3(3(1(1(4(4(2(1(2(0(1(0(x1))))))))))))))))))))) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0(x_1)) = 17 + x_1 POL(1(x_1)) = 13 + x_1 POL(2(x_1)) = 13 + x_1 POL(3(x_1)) = 13 + x_1 POL(4(x_1)) = 12 + x_1 POL(5(x_1)) = 17 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 0(1(2(x1))) -> 1(3(2(x1))) 1(1(4(2(3(x1))))) -> 1(5(4(4(x1)))) 2(2(1(3(5(x1))))) -> 1(2(0(5(x1)))) 3(0(0(2(1(x1))))) -> 0(5(4(0(x1)))) 0(0(0(3(2(5(x1)))))) -> 2(0(5(5(4(5(x1)))))) 2(2(1(1(3(2(x1)))))) -> 2(1(4(0(0(x1))))) 3(3(1(1(2(2(x1)))))) -> 3(3(0(0(2(x1))))) 0(2(5(1(0(4(2(2(x1)))))))) -> 0(0(3(5(1(5(4(x1))))))) 0(0(5(3(2(2(5(0(3(x1))))))))) -> 2(5(5(4(2(2(5(0(3(x1))))))))) 4(3(3(3(5(0(0(3(2(4(4(1(2(x1))))))))))))) -> 4(4(5(2(2(0(5(0(1(4(3(0(x1)))))))))))) 4(4(3(3(1(2(2(5(3(5(3(2(3(x1))))))))))))) -> 4(1(4(0(0(2(5(4(4(2(0(3(x1)))))))))))) 0(0(5(0(1(4(4(3(5(2(0(0(3(3(x1)))))))))))))) -> 2(1(2(1(2(0(4(0(2(2(4(3(3(5(4(x1))))))))))))))) 3(0(1(5(5(1(0(4(0(0(2(1(0(3(x1)))))))))))))) -> 3(4(0(1(2(5(2(2(0(3(0(4(5(1(x1)))))))))))))) 1(0(4(3(2(1(1(1(2(4(4(5(5(0(1(x1))))))))))))))) -> 1(0(2(4(5(5(0(1(1(4(4(5(0(1(x1)))))))))))))) 3(4(1(1(4(4(0(4(4(2(4(1(0(0(5(3(2(x1))))))))))))))))) -> 3(5(5(5(0(1(3(2(4(2(0(3(5(3(0(x1))))))))))))))) 0(2(1(3(5(3(4(1(1(4(4(0(4(3(4(1(0(2(x1)))))))))))))))))) -> 1(5(2(2(0(3(2(3(4(2(0(1(1(1(3(2(1(x1))))))))))))))))) 3(3(0(0(1(2(3(5(3(0(5(2(0(0(2(4(4(1(x1)))))))))))))))))) -> 2(2(4(1(4(4(2(5(2(2(5(1(4(2(5(2(0(4(1(x1))))))))))))))))))) 3(3(0(5(2(3(1(3(0(0(3(1(5(2(2(1(2(2(x1)))))))))))))))))) -> 1(0(3(0(4(2(4(3(2(0(4(2(1(5(5(2(2(x1))))))))))))))))) 4(5(4(0(1(1(5(5(4(5(3(2(1(3(2(4(4(2(x1)))))))))))))))))) -> 3(4(5(5(3(0(4(3(3(3(0(5(3(2(2(5(0(x1))))))))))))))))) 0(0(4(1(2(3(3(5(5(2(0(3(1(2(2(4(0(1(5(x1))))))))))))))))))) -> 2(2(0(1(0(1(5(0(1(0(0(5(0(1(1(4(5(x1))))))))))))))))) 0(5(0(3(2(3(2(3(0(1(5(5(5(3(4(0(0(2(2(x1))))))))))))))))))) -> 2(2(5(4(0(0(1(5(5(3(2(2(5(0(0(5(4(0(x1)))))))))))))))))) 4(0(3(4(1(3(2(0(0(0(2(1(0(1(1(3(1(5(1(x1))))))))))))))))))) -> 0(3(5(3(4(5(1(0(0(3(1(0(2(4(1(3(3(0(x1)))))))))))))))))) 4(4(5(4(5(4(3(1(2(2(0(2(5(4(2(0(4(1(2(x1))))))))))))))))))) -> 0(3(5(5(2(0(3(4(2(4(5(0(2(1(3(2(2(1(x1)))))))))))))))))) ---------------------------------------- (2) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to SRS Standard