details

property	value
status	complete
benchmark	86559.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n122.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.68194 seconds
cpu usage	11.2525
user time	10.8908
system time	0.361742
max virtual memory	3.7642076E7
max residence set size	1310256.0

stage attributes

key	value
starexec-result	YES

output

10.69/3.52 YES 11.11/3.60 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 11.11/3.60 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.11/3.60 11.11/3.60 11.11/3.60 Termination w.r.t. Q of the given QTRS could be proven: 11.11/3.60 11.11/3.60 (0) QTRS 11.11/3.60 (1) QTRS Reverse [EQUIVALENT, 0 ms] 11.11/3.60 (2) QTRS 11.11/3.60 (3) QTRSRRRProof [EQUIVALENT, 158 ms] 11.11/3.60 (4) QTRS 11.11/3.60 (5) DependencyPairsProof [EQUIVALENT, 58 ms] 11.11/3.60 (6) QDP 11.11/3.60 (7) DependencyGraphProof [EQUIVALENT, 2 ms] 11.11/3.60 (8) TRUE 11.11/3.60 11.11/3.60 11.11/3.60 ---------------------------------------- 11.11/3.60 11.11/3.60 (0) 11.11/3.60 Obligation: 11.11/3.60 Q restricted rewrite system: 11.11/3.60 The TRS R consists of the following rules: 11.11/3.60 11.11/3.60 0(1(0(1(x1)))) -> 0(2(3(1(x1)))) 11.11/3.60 2(1(4(0(1(x1))))) -> 3(0(0(1(x1)))) 11.11/3.60 2(3(3(3(1(x1))))) -> 1(1(3(1(x1)))) 11.11/3.60 4(1(2(3(4(x1))))) -> 1(5(3(0(x1)))) 11.11/3.60 5(3(2(4(4(x1))))) -> 0(1(3(0(x1)))) 11.11/3.60 5(5(0(4(3(3(x1)))))) -> 0(3(2(1(3(x1))))) 11.11/3.60 5(0(3(1(4(1(0(1(0(x1))))))))) -> 2(2(4(1(3(2(2(3(0(x1))))))))) 11.11/3.60 5(5(5(4(4(0(4(0(2(1(x1)))))))))) -> 5(4(5(4(0(5(0(4(0(3(x1)))))))))) 11.11/3.60 2(2(2(0(3(3(2(0(4(5(0(x1))))))))))) -> 0(4(0(0(0(0(2(5(1(x1))))))))) 11.11/3.60 1(0(2(0(3(5(1(4(5(2(4(4(x1)))))))))))) -> 1(0(1(0(3(2(3(2(1(0(3(3(x1)))))))))))) 11.11/3.61 4(0(4(2(3(5(0(1(4(4(5(0(x1)))))))))))) -> 3(5(0(2(5(1(2(5(1(4(1(x1))))))))))) 11.11/3.61 4(1(0(2(3(5(4(1(4(4(1(1(x1)))))))))))) -> 2(5(4(4(5(5(1(2(4(4(2(x1))))))))))) 11.11/3.61 2(0(0(5(5(0(2(2(2(3(4(1(4(x1))))))))))))) -> 3(3(3(3(1(3(1(4(1(4(5(4(3(x1))))))))))))) 11.11/3.61 4(5(1(3(0(0(3(5(2(1(2(5(2(x1))))))))))))) -> 4(5(0(3(5(3(5(5(3(5(4(0(4(x1))))))))))))) 11.11/3.61 2(1(4(5(5(0(2(4(0(5(4(4(1(4(x1)))))))))))))) -> 0(0(2(1(4(3(2(5(3(2(5(2(1(x1))))))))))))) 11.11/3.61 3(1(3(5(4(1(1(4(5(1(1(3(5(1(x1)))))))))))))) -> 3(2(1(2(4(3(5(1(5(5(1(3(4(x1))))))))))))) 11.11/3.61 4(4(5(3(0(2(0(0(0(3(5(0(2(1(x1)))))))))))))) -> 2(2(0(4(1(0(0(1(4(2(4(1(3(5(x1)))))))))))))) 11.11/3.61 5(0(5(4(4(4(4(2(5(1(2(3(3(1(1(x1))))))))))))))) -> 1(3(0(5(3(1(3(1(0(3(3(1(0(3(x1)))))))))))))) 11.11/3.61 5(3(5(5(4(0(2(2(4(3(2(2(1(4(1(x1))))))))))))))) -> 5(1(4(2(3(5(4(0(4(4(2(1(0(0(x1)))))))))))))) 11.11/3.61 5(5(2(1(3(3(2(5(0(1(0(5(0(5(0(x1))))))))))))))) -> 2(3(5(0(2(4(1(0(5(4(3(0(5(0(x1)))))))))))))) 11.11/3.61 2(1(2(3(2(1(2(5(5(5(0(0(3(2(1(1(x1)))))))))))))))) -> 4(4(1(1(3(3(1(4(2(1(3(0(3(2(3(x1))))))))))))))) 11.11/3.61 3(3(3(1(4(2(0(0(3(0(1(1(3(4(1(2(x1)))))))))))))))) -> 3(0(4(1(5(0(5(3(5(0(4(4(3(0(4(x1))))))))))))))) 11.11/3.61 2(1(1(3(5(4(0(1(4(2(5(1(4(5(4(5(1(x1))))))))))))))))) -> 2(3(3(3(3(2(1(4(5(5(2(2(4(4(4(3(0(x1))))))))))))))))) 11.11/3.61 5(0(2(4(4(4(4(3(1(2(2(2(2(2(2(5(2(x1))))))))))))))))) -> 5(4(0(4(4(3(5(5(4(3(0(5(5(5(0(0(x1)))))))))))))))) 11.11/3.61 2(5(5(1(0(4(4(1(4(0(5(1(1(5(0(0(1(4(x1)))))))))))))))))) -> 3(3(1(0(0(1(1(1(2(1(2(0(2(4(4(3(5(0(x1)))))))))))))))))) 11.11/3.61 0(0(1(1(4(5(3(2(5(3(4(4(3(0(5(4(4(4(2(x1))))))))))))))))))) -> 0(0(4(5(1(4(1(5(3(0(4(0(3(3(4(0(4(0(4(x1))))))))))))))))))) 11.11/3.61 1(4(1(4(1(5(2(4(4(3(3(4(5(4(4(1(2(0(2(3(x1)))))))))))))))))))) -> 1(2(1(5(0(1(0(4(4(4(2(5(0(1(5(1(1(4(3(3(x1)))))))))))))))))))) 11.11/3.61 2(1(0(0(4(2(5(5(1(3(3(4(3(3(5(5(3(3(5(2(x1)))))))))))))))))))) -> 4(4(3(3(5(0(4(2(2(1(1(3(1(5(2(5(2(4(5(x1))))))))))))))))))) 11.11/3.61 4(2(4(2(4(5(4(5(2(1(5(3(1(0(2(5(2(1(4(2(4(x1))))))))))))))))))))) -> 1(5(3(1(5(0(5(2(0(5(4(3(5(2(1(2(5(4(3(2(1(x1))))))))))))))))))))) 11.11/3.61 5(0(2(1(0(3(4(3(4(1(5(3(3(3(4(2(0(5(5(3(5(x1))))))))))))))))))))) -> 3(5(1(1(0(5(4(5(2(1(5(0(4(4(4(3(4(4(1(5(x1)))))))))))))))))))) 11.11/3.61 11.11/3.61 Q is empty. 11.11/3.61 11.11/3.61 ---------------------------------------- 11.11/3.61 11.11/3.61 (1) QTRS Reverse (EQUIVALENT) 11.11/3.61 We applied the QTRS Reverse Processor [REVERSE]. 11.11/3.61 ---------------------------------------- 11.11/3.61 11.11/3.61 (2) 11.11/3.61 Obligation: 11.11/3.61 Q restricted rewrite system: 11.11/3.61 The TRS R consists of the following rules: 11.11/3.61 11.11/3.61 1(0(1(0(x1)))) -> 1(3(2(0(x1)))) 11.11/3.61 1(0(4(1(2(x1))))) -> 1(0(0(3(x1)))) 11.11/3.61 1(3(3(3(2(x1))))) -> 1(3(1(1(x1)))) 11.11/3.61 4(3(2(1(4(x1))))) -> 0(3(5(1(x1)))) 11.11/3.61 4(4(2(3(5(x1))))) -> 0(3(1(0(x1)))) 11.11/3.61 3(3(4(0(5(5(x1)))))) -> 3(1(2(3(0(x1))))) 11.11/3.61 0(1(0(1(4(1(3(0(5(x1))))))))) -> 0(3(2(2(3(1(4(2(2(x1))))))))) 11.11/3.61 1(2(0(4(0(4(4(5(5(5(x1)))))))))) -> 3(0(4(0(5(0(4(5(4(5(x1)))))))))) 11.11/3.61 0(5(4(0(2(3(3(0(2(2(2(x1))))))))))) -> 1(5(2(0(0(0(0(4(0(x1))))))))) 11.11/3.61 4(4(2(5(4(1(5(3(0(2(0(1(x1)))))))))))) -> 3(3(0(1(2(3(2(3(0(1(0(1(x1)))))))))))) 11.11/3.61 0(5(4(4(1(0(5(3(2(4(0(4(x1)))))))))))) -> 1(4(1(5(2(1(5(2(0(5(3(x1))))))))))) 11.11/3.61 1(1(4(4(1(4(5(3(2(0(1(4(x1)))))))))))) -> 2(4(4(2(1(5(5(4(4(5(2(x1))))))))))) 11.11/3.61 4(1(4(3(2(2(2(0(5(5(0(0(2(x1))))))))))))) -> 3(4(5(4(1(4(1(3(1(3(3(3(3(x1))))))))))))) 11.11/3.61 2(5(2(1(2(5(3(0(0(3(1(5(4(x1))))))))))))) -> 4(0(4(5(3(5(5(3(5(3(0(5(4(x1))))))))))))) 11.11/3.61 4(1(4(4(5(0(4(2(0(5(5(4(1(2(x1)))))))))))))) -> 1(2(5(2(3(5(2(3(4(1(2(0(0(x1))))))))))))) 11.11/3.61 1(5(3(1(1(5(4(1(1(4(5(3(1(3(x1)))))))))))))) -> 4(3(1(5(5(1(5(3(4(2(1(2(3(x1))))))))))))) 11.11/3.61 1(2(0(5(3(0(0(0(2(0(3(5(4(4(x1)))))))))))))) -> 5(3(1(4(2(4(1(0(0(1(4(0(2(2(x1)))))))))))))) 11.11/3.61 1(1(3(3(2(1(5(2(4(4(4(4(5(0(5(x1))))))))))))))) -> 3(0(1(3(3(0(1(3(1(3(5(0(3(1(x1)))))))))))))) 11.11/3.61 1(4(1(2(2(3(4(2(2(0(4(5(5(3(5(x1))))))))))))))) -> 0(0(1(2(4(4(0(4(5(3(2(4(1(5(x1)))))))))))))) 11.11/3.61 0(5(0(5(0(1(0(5(2(3(3(1(2(5(5(x1))))))))))))))) -> 0(5(0(3(4(5(0(1(4(2(0(5(3(2(x1)))))))))))))) 11.11/3.61 1(1(2(3(0(0(5(5(5(2(1(2(3(2(1(2(x1)))))))))))))))) -> 3(2(3(0(3(1(2(4(1(3(3(1(1(4(4(x1))))))))))))))) 11.11/3.61 2(1(4(3(1(1(0(3(0(0(2(4(1(3(3(3(x1)))))))))))))))) -> 4(0(3(4(4(0(5(3(5(0(5(1(4(0(3(x1))))))))))))))) 11.11/3.61 1(5(4(5(4(1(5(2(4(1(0(4(5(3(1(1(2(x1))))))))))))))))) -> 0(3(4(4(4(2(2(5(5(4(1(2(3(3(3(3(2(x1))))))))))))))))) 11.11/3.61 2(5(2(2(2(2(2(2(1(3(4(4(4(4(2(0(5(x1))))))))))))))))) -> 0(0(5(5(5(0(3(4(5(5(3(4(4(0(4(5(x1)))))))))))))))) 11.11/3.61 4(1(0(0(5(1(1(5(0(4(1(4(4(0(1(5(5(2(x1)))))))))))))))))) -> 0(5(3(4(4(2(0(2(1(2(1(1(1(0(0(1(3(3(x1)))))))))))))))))) 11.11/3.61 2(4(4(4(5(0(3(4(4(3(5(2(3(5(4(1(1(0(0(x1))))))))))))))))))) -> 4(0(4(0(4(3(3(0(4(0(3(5(1(4(1(5(4(0(0(x1))))))))))))))))))) 11.11/3.61 3(2(0(2(1(4(4(5(4(3(3(4(4(2(5(1(4(1(4(1(x1)))))))))))))))))))) -> 3(3(4(1(1(5(1(0(5(2(4(4(4(0(1(0(5(1(2(1(x1)))))))))))))))))))) 11.11/3.61 2(5(3(3(5(5(3(3(4(3(3(1(5(5(2(4(0(0(1(2(x1)))))))))))))))))))) -> 5(4(2(5(2(5(1(3(1(1(2(2(4(0(5(3(3(4(4(x1))))))))))))))))))) 11.11/3.61 4(2(4(1(2(5(2(0(1(3(5(1(2(5(4(5(4(2(4(2(4(x1))))))))))))))))))))) -> 1(2(3(4(5(2(1(2(5(3(4(5(0(2(5(0(5(1(3(5(1(x1))))))))))))))))))))) 11.11/3.61 5(3(5(5(0(2(4(3(3(3(5(1(4(3(4(3(0(1(2(0(5(x1))))))))))))))))))))) -> 5(1(4(4(3(4(4(4(0(5(1(2(5(4(5(0(1(1(5(3(x1)))))))))))))))))))) 11.11/3.61 popout

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all output return to SRS_Standard 2019-03-29 03.29