details

property	value
status	complete
benchmark	aprove05.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n044.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.90051 seconds
cpu usage	34.7146
user time	32.9842
system time	1.73037
max virtual memory	6.2783104E7
max residence set size	4576056.0

stage attributes

key	value
starexec-result	YES

output

32.66/9.39 YES 34.48/9.84 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 34.48/9.84 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 34.48/9.84 34.48/9.84 34.48/9.84 Termination w.r.t. Q of the given QTRS could be proven: 34.48/9.84 34.48/9.84 (0) QTRS 34.48/9.84 (1) QTRSRRRProof [EQUIVALENT, 50 ms] 34.48/9.84 (2) QTRS 34.48/9.84 (3) DependencyPairsProof [EQUIVALENT, 57 ms] 34.48/9.84 (4) QDP 34.48/9.84 (5) DependencyGraphProof [EQUIVALENT, 7 ms] 34.48/9.84 (6) AND 34.48/9.84 (7) QDP 34.48/9.84 (8) UsableRulesProof [EQUIVALENT, 0 ms] 34.48/9.84 (9) QDP 34.48/9.84 (10) QDPSizeChangeProof [EQUIVALENT, 2 ms] 34.48/9.84 (11) YES 34.48/9.84 (12) QDP 34.48/9.84 (13) MNOCProof [EQUIVALENT, 0 ms] 34.48/9.84 (14) QDP 34.48/9.84 (15) UsableRulesProof [EQUIVALENT, 0 ms] 34.48/9.84 (16) QDP 34.48/9.84 (17) QReductionProof [EQUIVALENT, 0 ms] 34.48/9.84 (18) QDP 34.48/9.84 (19) QDPOrderProof [EQUIVALENT, 18 ms] 34.48/9.84 (20) QDP 34.48/9.84 (21) PisEmptyProof [EQUIVALENT, 0 ms] 34.48/9.84 (22) YES 34.48/9.84 (23) QDP 34.48/9.84 (24) MNOCProof [EQUIVALENT, 0 ms] 34.48/9.84 (25) QDP 34.48/9.84 (26) UsableRulesProof [EQUIVALENT, 0 ms] 34.48/9.84 (27) QDP 34.48/9.84 (28) QReductionProof [EQUIVALENT, 1 ms] 34.48/9.84 (29) QDP 34.48/9.84 (30) QDPOrderProof [EQUIVALENT, 11 ms] 34.48/9.84 (31) QDP 34.48/9.84 (32) PisEmptyProof [EQUIVALENT, 0 ms] 34.48/9.84 (33) YES 34.48/9.84 34.48/9.84 34.48/9.84 ---------------------------------------- 34.48/9.84 34.48/9.84 (0) 34.48/9.84 Obligation: 34.48/9.84 Q restricted rewrite system: 34.48/9.84 The TRS R consists of the following rules: 34.48/9.84 34.48/9.84 twoto(0(x1)) -> p(p(s(s(s(p(p(p(s(s(s(0(p(p(s(s(x1)))))))))))))))) 34.48/9.84 twoto(s(x1)) -> p(p(s(s(p(p(p(s(s(s(twice(p(p(s(s(p(p(p(s(s(s(twoto(p(s(p(s(x1)))))))))))))))))))))))))) 34.48/9.84 twice(0(x1)) -> p(s(p(s(0(s(p(s(s(s(s(p(s(x1))))))))))))) 34.48/9.84 twice(s(x1)) -> s(p(p(p(p(s(s(s(s(s(twice(p(s(p(s(p(s(p(s(x1))))))))))))))))))) 34.48/9.84 p(p(s(x1))) -> p(x1) 34.48/9.84 p(s(x1)) -> x1 34.48/9.84 p(0(x1)) -> 0(s(s(s(s(p(s(x1))))))) 34.48/9.84 0(x1) -> x1 34.48/9.84 34.48/9.84 Q is empty. 34.48/9.84 34.48/9.84 ---------------------------------------- 34.48/9.84 34.48/9.84 (1) QTRSRRRProof (EQUIVALENT) 34.48/9.84 Used ordering: 34.48/9.84 Polynomial interpretation [POLO]: 34.48/9.84 34.48/9.84 POL(0(x_1)) = 1 + x_1 34.48/9.84 POL(p(x_1)) = x_1 34.48/9.84 POL(s(x_1)) = x_1 34.48/9.84 POL(twice(x_1)) = x_1 34.48/9.84 POL(twoto(x_1)) = 1 + x_1 34.48/9.84 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 34.48/9.84 34.48/9.84 twoto(0(x1)) -> p(p(s(s(s(p(p(p(s(s(s(0(p(p(s(s(x1)))))))))))))))) 34.48/9.84 0(x1) -> x1 34.48/9.84 34.48/9.84 34.48/9.84 34.48/9.84 34.48/9.84 ---------------------------------------- 34.48/9.84 34.48/9.84 (2) 34.48/9.84 Obligation: 34.48/9.84 Q restricted rewrite system: 34.48/9.84 The TRS R consists of the following rules: 34.48/9.84 34.48/9.84 twoto(s(x1)) -> p(p(s(s(p(p(p(s(s(s(twice(p(p(s(s(p(p(p(s(s(s(twoto(p(s(p(s(x1)))))))))))))))))))))))))) 34.48/9.84 twice(0(x1)) -> p(s(p(s(0(s(p(s(s(s(s(p(s(x1))))))))))))) 34.48/9.84 twice(s(x1)) -> s(p(p(p(p(s(s(s(s(s(twice(p(s(p(s(p(s(p(s(x1))))))))))))))))))) 34.48/9.84 p(p(s(x1))) -> p(x1) 34.48/9.84 p(s(x1)) -> x1 34.48/9.84 p(0(x1)) -> 0(s(s(s(s(p(s(x1))))))) 34.48/9.84 34.48/9.84 Q is empty. 34.48/9.84 34.48/9.84 ---------------------------------------- 34.48/9.84 34.48/9.84 (3) DependencyPairsProof (EQUIVALENT) 34.48/9.84 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. popout

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all output return to SRS_Standard 2019-03-29 03.29