details

property	value
status	complete
benchmark	85749.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n035.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.72254395485 seconds
cpu usage	7.91073099
max memory	7.9857664E8

stage attributes

key	value
output-size	7406
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 173 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 11 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(1(1(x1)))) -> 2(1(3(x1))) 1(2(3(1(x1)))) -> 1(1(1(1(x1)))) 1(2(0(3(4(x1))))) -> 3(0(2(2(x1)))) 3(2(0(5(3(5(x1)))))) -> 3(1(2(4(2(5(x1)))))) 1(3(4(3(1(5(3(x1))))))) -> 5(2(0(0(4(0(3(x1))))))) 4(2(2(4(2(4(4(x1))))))) -> 4(2(2(3(0(4(x1)))))) 1(3(3(3(4(4(1(1(x1)))))))) -> 1(2(4(4(3(4(0(1(x1)))))))) 3(0(0(2(5(0(0(1(x1)))))))) -> 0(2(4(1(4(2(0(1(x1)))))))) 4(0(1(0(0(1(2(2(1(x1))))))))) -> 2(4(0(0(4(5(5(5(x1)))))))) 2(1(3(3(0(1(3(2(5(1(x1)))))))))) -> 2(2(0(1(2(1(2(1(1(3(x1)))))))))) 3(3(3(5(3(0(2(1(4(3(x1)))))))))) -> 4(3(5(2(3(3(1(3(0(3(x1)))))))))) 3(4(3(5(1(3(1(2(2(5(x1)))))))))) -> 1(0(4(0(1(5(3(5(2(1(x1)))))))))) 5(0(1(1(0(2(2(0(1(1(x1)))))))))) -> 4(5(5(5(2(3(2(0(3(x1))))))))) 4(0(1(1(0(0(1(5(3(5(0(1(x1)))))))))))) -> 2(3(4(4(5(4(5(5(0(4(2(x1))))))))))) 5(5(4(2(0(5(2(4(3(2(5(5(x1)))))))))))) -> 3(4(0(0(1(1(3(5(1(0(1(4(x1)))))))))))) 3(4(0(1(1(5(3(5(0(4(4(3(4(3(x1)))))))))))))) -> 3(5(5(4(0(1(1(1(1(4(4(0(0(3(x1)))))))))))))) 4(0(0(2(4(5(4(2(1(4(3(4(4(3(x1)))))))))))))) -> 4(4(0(1(5(2(2(1(1(0(1(3(1(3(x1)))))))))))))) 1(5(2(4(4(0(2(4(5(5(1(2(3(3(1(x1))))))))))))))) -> 3(1(2(4(5(4(0(3(2(1(5(5(1(3(1(x1))))))))))))))) 2(0(2(0(5(5(5(1(4(4(4(3(3(3(0(x1))))))))))))))) -> 5(3(3(3(2(5(0(5(4(4(5(3(3(0(x1)))))))))))))) 5(0(4(2(1(1(2(4(1(0(3(1(0(3(5(x1))))))))))))))) -> 4(5(3(2(3(1(1(0(1(3(5(3(0(1(x1)))))))))))))) 5(0(4(5(4(0(4(0(4(5(2(0(1(2(1(x1))))))))))))))) -> 1(2(2(2(0(4(0(5(1(3(4(4(1(1(4(x1))))))))))))))) 5(3(1(2(3(2(2(2(4(1(0(4(3(3(4(0(x1)))))))))))))))) -> 5(5(4(0(2(5(0(0(1(3(0(3(4(3(4(0(x1)))))))))))))))) 1(3(4(1(3(3(0(2(3(3(3(2(5(4(4(4(4(x1))))))))))))))))) -> 1(1(3(2(5(0(4(2(4(3(4(0(3(3(3(0(4(x1))))))))))))))))) 3(4(3(3(4(3(2(4(1(1(2(1(4(5(3(0(0(x1))))))))))))))))) -> 1(1(3(0(5(3(2(0(4(4(1(3(5(0(0(2(0(x1))))))))))))))))) 5(3(3(4(5(3(5(1(2(5(5(0(5(5(1(5(3(x1))))))))))))))))) -> 5(5(3(5(2(1(3(3(5(1(3(5(0(5(4(3(x1)))))))))))))))) 2(0(1(2(0(3(5(1(4(5(2(3(5(2(4(1(0(3(x1)))))))))))))))))) -> 1(4(5(4(0(5(5(1(3(0(1(4(4(0(3(3(4(3(x1)))))))))))))))))) 5(1(1(0(2(2(1(1(5(5(2(2(4(0(4(3(2(2(x1)))))))))))))))))) -> 3(1(1(1(2(2(1(5(4(3(0(2(3(5(4(2(2(x1))))))))))))))))) 2(2(3(0(5(2(3(4(4(0(3(3(0(2(0(2(4(1(1(x1))))))))))))))))))) -> 2(1(5(2(1(1(5(4(5(4(3(3(5(4(5(5(3(4(x1)))))))))))))))))) 1(3(5(3(3(3(4(0(1(2(3(3(0(4(3(0(3(4(4(5(x1)))))))))))))))))))) -> 4(2(4(5(4(5(1(4(4(5(5(0(2(1(1(1(1(4(2(5(1(x1))))))))))))))))))))) 5(0(4(2(0(0(0(3(3(1(5(2(2(5(1(3(4(3(0(5(1(x1))))))))))))))))))))) -> 0(3(1(5(4(3(1(1(3(0(3(2(0(0(2(2(2(1(4(4(1(x1))))))))))))))))))))) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0(x_1)) = 23 + x_1 POL(1(x_1)) = 21 + x_1 POL(2(x_1)) = 26 + x_1 POL(3(x_1)) = 27 + x_1 POL(4(x_1)) = 25 + x_1 POL(5(x_1)) = 25 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 0(1(1(1(x1)))) -> 2(1(3(x1))) 1(2(3(1(x1)))) -> 1(1(1(1(x1)))) 1(2(0(3(4(x1))))) -> 3(0(2(2(x1)))) 3(2(0(5(3(5(x1)))))) -> 3(1(2(4(2(5(x1)))))) 1(3(4(3(1(5(3(x1))))))) -> 5(2(0(0(4(0(3(x1))))))) 4(2(2(4(2(4(4(x1))))))) -> 4(2(2(3(0(4(x1)))))) 1(3(3(3(4(4(1(1(x1)))))))) -> 1(2(4(4(3(4(0(1(x1)))))))) 3(0(0(2(5(0(0(1(x1)))))))) -> 0(2(4(1(4(2(0(1(x1)))))))) 4(0(1(0(0(1(2(2(1(x1))))))))) -> 2(4(0(0(4(5(5(5(x1)))))))) 2(1(3(3(0(1(3(2(5(1(x1)))))))))) -> 2(2(0(1(2(1(2(1(1(3(x1)))))))))) 3(4(3(5(1(3(1(2(2(5(x1)))))))))) -> 1(0(4(0(1(5(3(5(2(1(x1)))))))))) 5(0(1(1(0(2(2(0(1(1(x1)))))))))) -> 4(5(5(5(2(3(2(0(3(x1))))))))) 4(0(1(1(0(0(1(5(3(5(0(1(x1)))))))))))) -> 2(3(4(4(5(4(5(5(0(4(2(x1))))))))))) 5(5(4(2(0(5(2(4(3(2(5(5(x1)))))))))))) -> 3(4(0(0(1(1(3(5(1(0(1(4(x1)))))))))))) 3(4(0(1(1(5(3(5(0(4(4(3(4(3(x1)))))))))))))) -> 3(5(5(4(0(1(1(1(1(4(4(0(0(3(x1)))))))))))))) 4(0(0(2(4(5(4(2(1(4(3(4(4(3(x1)))))))))))))) -> 4(4(0(1(5(2(2(1(1(0(1(3(1(3(x1)))))))))))))) 1(5(2(4(4(0(2(4(5(5(1(2(3(3(1(x1))))))))))))))) -> 3(1(2(4(5(4(0(3(2(1(5(5(1(3(1(x1))))))))))))))) 2(0(2(0(5(5(5(1(4(4(4(3(3(3(0(x1))))))))))))))) -> 5(3(3(3(2(5(0(5(4(4(5(3(3(0(x1)))))))))))))) 5(0(4(2(1(1(2(4(1(0(3(1(0(3(5(x1))))))))))))))) -> 4(5(3(2(3(1(1(0(1(3(5(3(0(1(x1)))))))))))))) 5(0(4(5(4(0(4(0(4(5(2(0(1(2(1(x1))))))))))))))) -> 1(2(2(2(0(4(0(5(1(3(4(4(1(1(4(x1))))))))))))))) 5(3(1(2(3(2(2(2(4(1(0(4(3(3(4(0(x1)))))))))))))))) -> 5(5(4(0(2(5(0(0(1(3(0(3(4(3(4(0(x1)))))))))))))))) 1(3(4(1(3(3(0(2(3(3(3(2(5(4(4(4(4(x1))))))))))))))))) -> 1(1(3(2(5(0(4(2(4(3(4(0(3(3(3(0(4(x1))))))))))))))))) 3(4(3(3(4(3(2(4(1(1(2(1(4(5(3(0(0(x1))))))))))))))))) -> 1(1(3(0(5(3(2(0(4(4(1(3(5(0(0(2(0(x1))))))))))))))))) 5(3(3(4(5(3(5(1(2(5(5(0(5(5(1(5(3(x1))))))))))))))))) -> 5(5(3(5(2(1(3(3(5(1(3(5(0(5(4(3(x1)))))))))))))))) popout

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job log

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actions

all output return to SRS Standard