details

property	value
status	complete
benchmark	98362.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n161.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	22.7147 seconds
cpu usage	86.0774
user time	83.6274
system time	2.45
max virtual memory	2.1052324E7
max residence set size	6108068.0

stage attributes

key	value
starexec-result	YES

output

84.62/22.38 YES 85.86/22.62 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 85.86/22.62 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 85.86/22.62 85.86/22.62 85.86/22.62 Termination w.r.t. Q of the given QTRS could be proven: 85.86/22.62 85.86/22.62 (0) QTRS 85.86/22.62 (1) QTRS Reverse [EQUIVALENT, 0 ms] 85.86/22.62 (2) QTRS 85.86/22.62 (3) QTRSRRRProof [EQUIVALENT, 213 ms] 85.86/22.62 (4) QTRS 85.86/22.62 (5) DependencyPairsProof [EQUIVALENT, 408 ms] 85.86/22.62 (6) QDP 85.86/22.62 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 85.86/22.62 (8) QDP 85.86/22.62 (9) QDPOrderProof [EQUIVALENT, 803 ms] 85.86/22.62 (10) QDP 85.86/22.62 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 85.86/22.62 (12) AND 85.86/22.62 (13) QDP 85.86/22.62 (14) QDPOrderProof [EQUIVALENT, 33 ms] 85.86/22.62 (15) QDP 85.86/22.62 (16) PisEmptyProof [EQUIVALENT, 0 ms] 85.86/22.62 (17) YES 85.86/22.62 (18) QDP 85.86/22.62 (19) QDPOrderProof [EQUIVALENT, 38 ms] 85.86/22.62 (20) QDP 85.86/22.62 (21) PisEmptyProof [EQUIVALENT, 0 ms] 85.86/22.62 (22) YES 85.86/22.62 85.86/22.62 85.86/22.62 ---------------------------------------- 85.86/22.62 85.86/22.62 (0) 85.86/22.62 Obligation: 85.86/22.62 Q restricted rewrite system: 85.86/22.62 The TRS R consists of the following rules: 85.86/22.62 85.86/22.62 0(1(2(3(x1)))) -> 3(2(4(x1))) 85.86/22.62 2(3(3(0(4(x1))))) -> 4(2(1(5(x1)))) 85.86/22.62 0(3(3(1(1(4(x1)))))) -> 3(2(3(0(1(3(x1)))))) 85.86/22.62 5(1(3(0(4(0(x1)))))) -> 3(5(3(3(2(x1))))) 85.86/22.62 0(3(2(1(4(0(1(x1))))))) -> 4(0(5(1(3(0(1(x1))))))) 85.86/22.62 2(2(0(2(5(2(0(x1))))))) -> 2(2(1(2(5(1(3(x1))))))) 85.86/22.62 4(5(3(2(4(4(2(2(x1)))))))) -> 4(0(5(0(0(0(2(2(x1)))))))) 85.86/22.62 1(0(2(5(2(3(0(1(1(x1))))))))) -> 1(5(1(2(0(2(4(4(1(x1))))))))) 85.86/22.62 4(4(0(3(5(1(2(4(4(x1))))))))) -> 1(5(2(0(3(5(0(0(x1)))))))) 85.86/22.62 0(4(1(2(0(5(0(2(2(4(x1)))))))))) -> 2(5(4(0(1(2(5(3(4(x1))))))))) 85.86/22.62 4(5(4(1(2(4(1(0(1(5(x1)))))))))) -> 1(1(0(1(3(1(5(2(5(x1))))))))) 85.86/22.62 5(1(0(3(2(3(4(5(4(3(x1)))))))))) -> 5(2(0(5(3(4(2(5(3(x1))))))))) 85.86/22.62 1(3(0(4(3(0(5(3(2(5(3(x1))))))))))) -> 1(3(0(0(0(3(1(3(3(5(3(x1))))))))))) 85.86/22.62 4(5(0(0(4(4(5(0(5(4(5(x1))))))))))) -> 2(4(2(2(2(4(3(1(4(5(x1)))))))))) 85.86/22.62 2(3(0(0(5(4(1(3(4(0(1(4(x1)))))))))))) -> 4(0(3(3(4(5(1(1(4(2(4(x1))))))))))) 85.86/22.62 5(1(4(3(0(5(1(2(5(5(4(0(x1)))))))))))) -> 2(5(0(0(5(1(4(2(5(1(5(x1))))))))))) 85.86/22.62 5(1(5(2(0(5(5(5(2(2(5(1(x1)))))))))))) -> 2(2(4(0(0(5(3(0(5(1(0(2(x1)))))))))))) 85.86/22.62 4(5(4(5(1(2(0(2(5(4(4(5(5(x1))))))))))))) -> 1(1(3(4(3(3(0(4(2(5(5(3(x1)))))))))))) 85.86/22.62 5(5(0(4(0(2(1(1(0(4(5(0(5(x1))))))))))))) -> 1(1(0(3(4(2(1(1(5(0(2(5(x1)))))))))))) 85.86/22.62 5(0(5(1(0(3(1(3(1(1(3(1(5(1(x1)))))))))))))) -> 5(4(4(1(2(5(5(0(1(0(3(2(2(2(x1)))))))))))))) 85.86/22.62 5(5(3(0(4(4(0(2(1(5(1(4(2(1(x1)))))))))))))) -> 5(4(1(5(2(4(3(3(5(2(4(5(0(x1))))))))))))) 85.86/22.62 0(1(4(2(3(2(2(1(0(3(1(5(2(3(1(x1))))))))))))))) -> 1(5(2(4(2(5(2(4(3(4(1(0(4(2(x1)))))))))))))) 85.86/22.62 0(3(2(0(0(2(2(4(2(4(4(3(3(2(0(x1))))))))))))))) -> 3(2(1(0(4(4(2(1(0(4(3(3(1(0(x1)))))))))))))) 85.86/22.62 2(4(4(3(0(1(0(1(4(0(3(4(1(0(0(5(x1)))))))))))))))) -> 2(5(3(1(2(2(2(2(5(3(3(2(1(4(5(x1))))))))))))))) 85.86/22.62 5(0(3(0(1(1(5(1(1(2(0(3(3(0(4(5(1(x1))))))))))))))))) -> 3(4(5(2(0(1(2(0(1(5(4(1(3(1(5(2(x1)))))))))))))))) 85.86/22.62 0(5(5(2(5(4(5(0(5(2(2(3(1(3(3(4(4(2(x1)))))))))))))))))) -> 5(0(2(4(4(3(2(2(5(1(4(4(1(1(4(3(5(2(x1)))))))))))))))))) 85.86/22.62 1(2(0(1(0(5(0(2(4(4(5(1(4(1(2(0(4(5(x1)))))))))))))))))) -> 1(2(1(5(2(5(1(4(0(3(5(3(1(4(2(3(5(x1))))))))))))))))) 85.86/22.62 1(4(4(3(3(0(0(3(5(2(1(4(4(4(3(0(1(5(x1)))))))))))))))))) -> 3(5(3(3(0(2(5(1(5(4(4(3(1(2(3(4(3(5(x1)))))))))))))))))) 85.86/22.62 3(5(1(4(5(2(4(1(3(2(4(4(0(5(4(1(0(3(x1)))))))))))))))))) -> 3(0(5(5(4(5(1(4(3(0(0(5(5(3(3(1(2(3(x1)))))))))))))))))) 85.86/22.62 4(5(0(4(0(3(4(5(0(1(3(3(0(2(2(3(5(1(x1)))))))))))))))))) -> 1(5(3(0(1(1(2(3(5(0(0(0(2(0(1(0(1(x1))))))))))))))))) 85.86/22.62 5(3(5(3(3(1(5(5(2(2(3(3(4(1(5(1(0(5(x1)))))))))))))))))) -> 3(5(0(4(4(3(4(0(5(2(0(0(2(4(1(5(1(5(x1)))))))))))))))))) 85.86/22.62 5(4(0(1(5(1(2(4(0(4(0(3(2(1(5(3(3(0(x1)))))))))))))))))) -> 4(2(1(0(3(0(1(5(0(1(1(0(5(5(4(2(1(x1))))))))))))))))) 85.86/22.62 3(5(0(2(4(0(3(0(0(1(0(0(4(3(0(4(2(5(1(0(x1)))))))))))))))))))) -> 1(1(4(1(1(3(2(5(3(4(5(2(4(4(0(2(0(0(0(x1))))))))))))))))))) 85.86/22.62 4(1(0(2(0(3(5(5(3(2(1(2(4(5(2(2(3(4(3(0(x1)))))))))))))))))))) -> 0(0(5(5(4(1(2(2(1(0(0(4(4(5(0(5(3(5(3(0(x1)))))))))))))))))))) 85.86/22.62 4(3(0(0(2(1(4(5(1(4(3(5(0(2(2(3(5(1(4(1(4(x1))))))))))))))))))))) -> 4(3(4(1(1(0(4(2(1(5(2(1(1(2(4(1(2(3(1(3(x1)))))))))))))))))))) 85.86/22.62 85.86/22.62 Q is empty. 85.86/22.62 85.86/22.62 ---------------------------------------- 85.86/22.62 85.86/22.62 (1) QTRS Reverse (EQUIVALENT) 85.86/22.62 We applied the QTRS Reverse Processor [REVERSE]. 85.86/22.62 ---------------------------------------- 85.86/22.62 85.86/22.62 (2) 85.86/22.62 Obligation: 85.86/22.62 Q restricted rewrite system: 85.86/22.62 The TRS R consists of the following rules: 85.86/22.62 85.86/22.62 3(2(1(0(x1)))) -> 4(2(3(x1))) 85.86/22.62 4(0(3(3(2(x1))))) -> 5(1(2(4(x1)))) 85.86/22.62 4(1(1(3(3(0(x1)))))) -> 3(1(0(3(2(3(x1)))))) 85.86/22.62 0(4(0(3(1(5(x1)))))) -> 2(3(3(5(3(x1))))) 85.86/22.62 1(0(4(1(2(3(0(x1))))))) -> 1(0(3(1(5(0(4(x1))))))) 85.86/22.62 0(2(5(2(0(2(2(x1))))))) -> 3(1(5(2(1(2(2(x1))))))) 85.86/22.62 2(2(4(4(2(3(5(4(x1)))))))) -> 2(2(0(0(0(5(0(4(x1)))))))) 85.86/22.62 1(1(0(3(2(5(2(0(1(x1))))))))) -> 1(4(4(2(0(2(1(5(1(x1))))))))) 85.86/22.62 4(4(2(1(5(3(0(4(4(x1))))))))) -> 0(0(5(3(0(2(5(1(x1)))))))) 85.86/22.62 4(2(2(0(5(0(2(1(4(0(x1)))))))))) -> 4(3(5(2(1(0(4(5(2(x1))))))))) 85.86/22.62 5(1(0(1(4(2(1(4(5(4(x1)))))))))) -> 5(2(5(1(3(1(0(1(1(x1))))))))) 85.86/22.62 3(4(5(4(3(2(3(0(1(5(x1)))))))))) -> 3(5(2(4(3(5(0(2(5(x1))))))))) popout

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all output return to SRS_Standard 2019-03-29 03.29