details

property	value
status	complete
benchmark	aprove03.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n007.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.91591 seconds
cpu usage	35.0307
user time	32.5773
system time	2.45342
max virtual memory	4.1879656E7
max residence set size	5160348.0

stage attributes

key	value
starexec-result	YES

output

32.68/9.26 YES 34.60/9.78 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 34.60/9.78 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 34.60/9.78 34.60/9.78 34.60/9.78 Termination w.r.t. Q of the given QTRS could be proven: 34.60/9.78 34.60/9.78 (0) QTRS 34.60/9.78 (1) QTRSRRRProof [EQUIVALENT, 61 ms] 34.60/9.78 (2) QTRS 34.60/9.78 (3) DependencyPairsProof [EQUIVALENT, 12 ms] 34.60/9.78 (4) QDP 34.60/9.78 (5) DependencyGraphProof [EQUIVALENT, 3 ms] 34.60/9.78 (6) AND 34.60/9.78 (7) QDP 34.60/9.78 (8) UsableRulesProof [EQUIVALENT, 0 ms] 34.60/9.78 (9) QDP 34.60/9.78 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 34.60/9.78 (11) YES 34.60/9.78 (12) QDP 34.60/9.78 (13) UsableRulesProof [EQUIVALENT, 0 ms] 34.60/9.78 (14) QDP 34.60/9.78 (15) MNOCProof [EQUIVALENT, 0 ms] 34.60/9.78 (16) QDP 34.60/9.78 (17) UsableRulesProof [EQUIVALENT, 0 ms] 34.60/9.78 (18) QDP 34.60/9.78 (19) QDPOrderProof [EQUIVALENT, 21 ms] 34.60/9.78 (20) QDP 34.60/9.78 (21) PisEmptyProof [EQUIVALENT, 0 ms] 34.60/9.78 (22) YES 34.60/9.78 (23) QDP 34.60/9.78 (24) UsableRulesProof [EQUIVALENT, 0 ms] 34.60/9.78 (25) QDP 34.60/9.78 (26) MNOCProof [EQUIVALENT, 0 ms] 34.60/9.78 (27) QDP 34.60/9.78 (28) UsableRulesProof [EQUIVALENT, 0 ms] 34.60/9.78 (29) QDP 34.60/9.78 (30) QDPOrderProof [EQUIVALENT, 26 ms] 34.60/9.78 (31) QDP 34.60/9.78 (32) PisEmptyProof [EQUIVALENT, 0 ms] 34.60/9.78 (33) YES 34.60/9.78 34.60/9.78 34.60/9.78 ---------------------------------------- 34.60/9.78 34.60/9.78 (0) 34.60/9.78 Obligation: 34.60/9.78 Q restricted rewrite system: 34.60/9.78 The TRS R consists of the following rules: 34.60/9.78 34.60/9.78 thrice(0(x1)) -> p(s(p(p(p(s(s(s(0(p(s(p(s(x1))))))))))))) 34.60/9.78 thrice(s(x1)) -> p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1)))))))))))))))))) 34.60/9.78 half(0(x1)) -> p(p(s(s(p(s(0(p(s(s(s(s(x1)))))))))))) 34.60/9.78 half(s(x1)) -> p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))) 34.60/9.78 half(s(s(x1))) -> p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))) 34.60/9.78 sixtimes(0(x1)) -> p(s(p(s(0(s(s(s(s(s(p(s(p(s(x1)))))))))))))) 34.60/9.78 sixtimes(s(x1)) -> p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1))))))))))))))))))))))))) 34.60/9.78 p(p(s(x1))) -> p(x1) 34.60/9.78 p(s(x1)) -> x1 34.60/9.78 p(0(x1)) -> 0(s(s(s(s(x1))))) 34.60/9.78 0(x1) -> x1 34.60/9.78 34.60/9.78 Q is empty. 34.60/9.78 34.60/9.78 ---------------------------------------- 34.60/9.78 34.60/9.78 (1) QTRSRRRProof (EQUIVALENT) 34.60/9.78 Used ordering: 34.60/9.78 Polynomial interpretation [POLO]: 34.60/9.78 34.60/9.78 POL(0(x_1)) = 1 + x_1 34.60/9.78 POL(half(x_1)) = 1 + x_1 34.60/9.78 POL(p(x_1)) = x_1 34.60/9.78 POL(s(x_1)) = x_1 34.60/9.78 POL(sixtimes(x_1)) = 1 + x_1 34.60/9.78 POL(thrice(x_1)) = 3 + x_1 34.60/9.78 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 34.60/9.78 34.60/9.78 thrice(0(x1)) -> p(s(p(p(p(s(s(s(0(p(s(p(s(x1))))))))))))) 34.60/9.78 thrice(s(x1)) -> p(p(s(s(half(p(p(s(s(p(s(sixtimes(p(s(p(p(s(s(x1)))))))))))))))))) 34.60/9.78 half(0(x1)) -> p(p(s(s(p(s(0(p(s(s(s(s(x1)))))))))))) 34.60/9.78 sixtimes(0(x1)) -> p(s(p(s(0(s(s(s(s(s(p(s(p(s(x1)))))))))))))) 34.60/9.78 0(x1) -> x1 34.60/9.78 34.60/9.78 34.60/9.78 34.60/9.78 34.60/9.78 ---------------------------------------- 34.60/9.78 34.60/9.78 (2) 34.60/9.78 Obligation: 34.60/9.78 Q restricted rewrite system: 34.60/9.78 The TRS R consists of the following rules: 34.60/9.78 34.60/9.78 half(s(x1)) -> p(s(p(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1))))))))))))))))) 34.60/9.78 half(s(s(x1))) -> p(s(p(s(s(p(p(s(s(half(p(p(s(s(p(s(x1)))))))))))))))) 34.60/9.78 sixtimes(s(x1)) -> p(p(s(s(s(s(s(s(s(p(p(s(p(s(s(s(sixtimes(p(s(p(p(p(s(s(s(x1))))))))))))))))))))))))) 34.60/9.78 p(p(s(x1))) -> p(x1) 34.60/9.78 p(s(x1)) -> x1 34.60/9.78 p(0(x1)) -> 0(s(s(s(s(x1))))) popout

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all output return to SRS_Standard 2019-03-29 03.29