details

property	value
status	complete
benchmark	247504.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n101.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.15163588524 seconds
cpu usage	13.729339898
max memory	1.994244096E9

stage attributes

key	value
output-size	10418
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 121 ms] (4) QTRS (5) AAECC Innermost [EQUIVALENT, 7 ms] (6) QTRS (7) DependencyPairsProof [EQUIVALENT, 5 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 0 ms] (10) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(x1) -> 1(x1) 0(0(x1)) -> 0(x1) 3(4(5(x1))) -> 4(3(5(x1))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(1(0(1(0(0(1(0(1(0(1(1(0(1(1(0(1(0(1(0(1(0(1(1(0(0(0(1(1(1(0(1(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(1(0(0(0(1(0(0(1(1(0(0(0(0(1(1(1(1(0(1(0(0(0(1(0(0(0(1(1(1(0(0(0(1(1(0(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(0(1(0(0(1(0(0(0(0(0(1(1(1(1(0(0(1(1(1(0(1(1(0(1(1(1(1(1(0(0(1(1(0(0(1(0(0(0(0(1(0(1(0(0(0(0(1(1(0(1(0(0(1(1(1(0(1(0(0(0(1(1(0(1(0(0(1(0(0(1(1(1(1(1(1(0(1(0(0(1(0(1(0(1(1(0(1(1(0(0(1(1(1(1(0(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(1(1(0(1(0(0(0(1(1(1(1(1(1(1(1(1(1(1(0(0(1(1(0(1(1(1(0(1(0(1(1(0(1(0(1(1(0(0(0(1(1(0(1(1(1(0(1(0(1(0(0(0(0(0(1(0(0(1(0(1(0(1(1(1(0(0(1(0(1(0(0(0(1(1(0(0(1(1(0(1(1(1(1(1(1(1(1(1(0(0(1(0(0(0(0(1(0(0(1(0(0(0(1(0(0(1(0(1(1(1(1(1(0(0(1(1(0(0(0(1(0(0(0(0(1(1(1(1(0(1(1(1(1(0(0(0(1(1(0(1(0(1(0(0(0(0(1(0(0(1(1(1(0(1(0(0(0(0(0(0(0(1(0(1(0(0(1(0(0(0(0(0(0(0(0(1(0(1(1(0(1(1(1(1(0(1(0(0(0(0(0(1(1(1(1(0(0(0(0(0(0(1(0(0(1(1(1(1(1(0(0(0(1(1(1(0(0(1(1(1(1(1(0(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(x1) -> 1(x1) 0(0(x1)) -> 0(x1) 5(4(3(x1))) -> 5(3(4(x1))) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(0(0(0(1(0(1(1(0(1(1(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(0(0(1(0(0(1(0(1(1(0(0(0(1(0(1(1(1(0(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(1(0(0(1(1(0(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(1(1(1(1(0(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(1(1(0(0(0(1(1(1(0(0(0(1(0(0(0(1(0(1(1(1(1(0(0(0(0(1(1(0(0(1(0(0(0(1(1(1(0(1(0(1(1(1(0(1(0(1(1(0(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(1(1(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(1(0(1(0(1(0(0(1(0(1(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(1(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(1(1(1(0(0(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(1(1(0(1(0(0(0(0(0(0(0(0(1(0(0(1(0(1(0(0(0(0(0(0(0(1(0(1(1(1(0(0(1(0(0(0(0(1(0(1(0(1(1(0(0(0(1(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(0(1(1(0(0(1(1(1(1(1(0(1(0(0(1(0(0(0(1(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(1(1(1(0(1(1(0(0(1(1(0(0(0(1(0(1(0(0(1(1(1(0(1(0(1(0(0(1(0(0(0(0(0(1(0(1(0(1(1(1(0(1(1(0(0(0(1(1(0(1(0(1(1(0(1(0(1(1(1(0(1(1(0(0(1(1(1(1(1(1(1(1(1(1(1(0(0(0(1(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Q is empty. ---------------------------------------- (3) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(0(x_1)) = 11 + x_1 POL(1(x_1)) = x_1 POL(2(x_1)) = 7 + x_1 POL(3(x_1)) = x_1 POL(4(x_1)) = x_1 POL(5(x_1)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 0(x1) -> 1(x1) 0(0(x1)) -> 0(x1) 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(0(0(0(1(0(1(1(0(1(1(1(0(0(1(1(1(1(0(0(1(1(0(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(1(0(0(1(0(0(1(0(1(1(0(0(0(1(0(1(1(1(0(0(1(0(1(1(0(0(0(0(1(0(1(0(0(0(0(1(0(0(1(1(0(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(1(1(1(1(0(0(0(0(0(1(0(0(1(0(1(1(0(1(0(0(1(0(0(1(0(1(0(0(1(0(1(1(0(0(0(1(1(1(0(0(0(1(0(0(0(1(0(1(1(1(1(0(0(0(0(1(1(0(0(1(0(0(0(1(1(1(0(1(0(1(1(1(0(1(0(1(1(0(1(0(1(0(1(0(1(1(0(0(0(0(1(0(1(1(1(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(1(0(1(0(1(0(0(1(0(1(1(0(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0(1(1(0(0(1(1(1(1(1(0(0(1(1(1(0(0(0(1(1(1(1(1(0(0(1(0(0(0(0(0(0(1(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(1(1(0(1(0(0(0(0(0(0(0(0(1(0(0(1(0(1(0(0(0(0(0(0(0(1(0(1(1(1(0(0(1(0(0(0(0(1(0(1(0(1(1(0(0(0(1(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(0(1(1(0(0(1(1(1(1(1(0(1(0(0(1(0(0(0(1(0(0(1(0(0(0(0(1(0(0(1(1(1(1(1(1(1(1(1(0(1(1(0(0(1(1(0(0(0(1(0(1(0(0(1(1(1(0(1(0(1(0(0(1(0(0(0(0(0(1(0(1(0(1(1(1(0(1(1(0(0(0(1(1(0(1(0(1(1(0(1(0(1(1(1(0(1(1(0(0(1(1(1(1(1(1(1(1(1(1(1(0(0(0(1(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 5(4(3(x1))) -> 5(3(4(x1))) Q is empty. ---------------------------------------- (5) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is none The TRS R 2 is 5(4(3(x1))) -> 5(3(4(x1))) popout

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all output return to SRS Stand 10685