details

property	value
status	complete
benchmark	249663.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.20939 seconds
cpu usage	17.3215
user time	16.6187
system time	0.702839
max virtual memory	3.7107176E7
max residence set size	2161668.0

stage attributes

key	value
starexec-result	YES

output

16.88/5.10 YES 17.08/5.14 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 17.08/5.14 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 17.08/5.14 17.08/5.14 17.08/5.14 Termination w.r.t. Q of the given QTRS could be proven: 17.08/5.14 17.08/5.14 (0) QTRS 17.08/5.14 (1) QTRSRRRProof [EQUIVALENT, 356 ms] 17.08/5.14 (2) QTRS 17.08/5.14 (3) Overlay + Local Confluence [EQUIVALENT, 0 ms] 17.08/5.14 (4) QTRS 17.08/5.14 (5) DependencyPairsProof [EQUIVALENT, 11 ms] 17.08/5.14 (6) QDP 17.08/5.14 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 17.08/5.14 (8) TRUE 17.08/5.14 17.08/5.14 17.08/5.14 ---------------------------------------- 17.08/5.14 17.08/5.14 (0) 17.08/5.14 Obligation: 17.08/5.14 Q restricted rewrite system: 17.08/5.14 The TRS R consists of the following rules: 17.08/5.14 17.08/5.14 0(x1) -> 1(x1) 17.08/5.14 0(0(x1)) -> 0(x1) 17.08/5.14 3(4(5(x1))) -> 4(3(5(x1))) 17.08/5.14 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(1(0(1(0(0(1(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(1(1(0(0(1(0(1(1(1(1(1(0(0(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(1(0(0(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(1(0(1(1(1(0(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(1(1(0(0(0(0(0(0(0(1(0(1(0(1(1(0(0(0(1(1(0(0(0(1(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(0(0(0(1(1(0(1(0(1(1(0(0(1(0(1(1(1(0(1(0(0(1(0(1(1(0(1(1(1(0(1(1(0(1(1(1(1(1(1(0(1(1(1(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(0(0(1(0(1(0(0(0(1(1(1(1(0(1(1(0(0(0(1(0(0(0(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(1(1(1(1(1(1(0(0(0(1(0(0(0(1(0(1(1(1(1(0(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(0(0(0(0(0(0(0(1(0(0(0(1(0(1(0(1(1(0(0(0(1(0(0(0(1(0(1(0(0(0(0(1(1(1(1(0(0(0(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 17.08/5.14 1(0(1(0(0(1(0(0(0(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(0(1(0(1(0(0(0(1(1(1(1(1(1(1(0(0(1(1(0(0(1(0(1(0(0(1(1(1(1(0(0(0(0(1(0(1(1(0(0(0(1(1(0(0(0(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(0(1(1(0(0(1(1(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(0(1(1(0(1(1(1(0(0(1(1(0(1(1(1(0(0(0(1(1(1(0(1(1(0(1(0(1(1(0(1(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(1(1(0(1(1(1(1(1(1(1(0(1(0(1(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(0(1(1(1(1(1(1(0(0(1(0(0(1(0(1(0(1(0(0(0(0(1(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(0(1(0(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(1(1(1(0(0(0(1(0(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(0(1(0(1(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 17.08/5.14 17.08/5.14 Q is empty. 17.08/5.14 17.08/5.14 ---------------------------------------- 17.08/5.14 17.08/5.14 (1) QTRSRRRProof (EQUIVALENT) 17.08/5.14 Used ordering: 17.08/5.14 Polynomial interpretation [POLO]: 17.08/5.14 17.08/5.14 POL(0(x_1)) = 5 + x_1 17.08/5.14 POL(1(x_1)) = 4 + x_1 17.08/5.14 POL(2(x_1)) = 7 + x_1 17.08/5.14 POL(3(x_1)) = x_1 17.08/5.14 POL(4(x_1)) = x_1 17.08/5.14 POL(5(x_1)) = x_1 17.08/5.14 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 17.08/5.14 17.08/5.14 0(x1) -> 1(x1) 17.08/5.14 0(0(x1)) -> 0(x1) 17.08/5.14 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(1(0(1(0(0(1(1(1(0(1(0(1(1(1(0(0(1(0(0(1(0(1(1(0(0(1(0(1(1(1(1(1(0(0(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(1(0(0(0(1(1(0(0(0(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(1(0(1(1(1(1(1(1(0(1(1(1(1(0(1(0(1(0(1(1(0(1(1(1(0(0(0(1(0(0(0(0(0(0(1(0(0(1(0(0(0(1(1(0(0(0(0(0(0(0(1(0(1(0(1(1(0(0(0(1(1(0(0(0(1(1(1(1(1(0(0(1(1(0(1(1(0(0(0(1(0(0(0(1(1(0(1(0(1(1(0(0(1(0(1(1(1(0(1(0(0(1(0(1(1(0(1(1(1(0(1(1(0(1(1(1(1(1(1(0(1(1(1(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(0(0(1(0(1(0(0(0(1(1(1(1(0(1(1(0(0(0(1(0(0(0(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(0(1(1(1(1(0(0(1(1(0(0(1(1(1(1(1(1(0(0(0(1(0(0(0(1(0(1(1(1(1(0(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(0(0(0(0(0(0(0(1(0(0(0(1(0(1(0(1(1(0(0(0(1(0(0(0(1(0(1(0(0(0(0(1(1(1(1(0(0(0(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 17.08/5.14 1(0(1(0(0(1(0(0(0(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(1(1(0(0(1(1(0(1(1(0(0(0(1(1(0(1(0(1(0(0(0(1(1(1(1(1(1(1(0(0(1(1(0(0(1(0(1(0(0(1(1(1(1(0(0(0(0(1(0(1(1(0(0(0(1(1(0(0(0(0(0(0(1(0(0(0(1(0(0(0(1(0(0(0(0(0(0(0(1(0(1(1(0(1(0(1(1(0(0(1(1(1(0(1(1(1(1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(1(1(1(1(0(1(1(0(1(1(0(1(1(1(0(0(1(1(0(1(1(1(0(0(0(1(1(1(0(1(1(0(1(0(1(1(0(1(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(1(1(0(1(1(1(1(1(1(1(0(1(0(1(0(0(0(1(1(0(1(0(1(0(1(1(0(0(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(0(1(1(1(1(1(1(0(0(1(0(0(1(0(1(0(1(0(0(0(0(1(0(0(0(0(0(1(1(1(0(0(1(1(1(0(1(0(1(0(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(1(1(1(0(0(0(1(0(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(0(0(1(0(1(0(1(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 17.08/5.14 17.08/5.14 17.08/5.14 17.08/5.14 17.08/5.14 ---------------------------------------- 17.08/5.14 17.08/5.14 (2) 17.08/5.14 Obligation: 17.08/5.14 Q restricted rewrite system: 17.08/5.14 The TRS R consists of the following rules: 17.08/5.14 17.08/5.14 3(4(5(x1))) -> 4(3(5(x1))) 17.08/5.14 17.08/5.14 Q is empty. 17.08/5.14 17.08/5.14 ---------------------------------------- 17.08/5.14 17.08/5.14 (3) Overlay + Local Confluence (EQUIVALENT) 17.08/5.14 The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. 17.08/5.14 ---------------------------------------- 17.08/5.14 17.08/5.14 (4) 17.08/5.14 Obligation: 17.08/5.14 Q restricted rewrite system: 17.08/5.14 The TRS R consists of the following rules: 17.08/5.14 17.08/5.14 3(4(5(x1))) -> 4(3(5(x1))) 17.08/5.14 17.08/5.14 The set Q consists of the following terms: 17.08/5.14 17.08/5.14 3(4(5(x0))) 17.08/5.14 17.08/5.14 17.08/5.14 ---------------------------------------- 17.08/5.14 17.08/5.14 (5) DependencyPairsProof (EQUIVALENT) 17.08/5.14 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 17.08/5.14 ---------------------------------------- 17.08/5.14 17.08/5.14 (6) 17.08/5.14 Obligation: 17.08/5.14 Q DP problem: 17.08/5.14 The TRS P consists of the following rules: 17.08/5.14 17.08/5.14 3^1(4(5(x1))) -> 3^1(5(x1)) 17.08/5.14 17.08/5.14 The TRS R consists of the following rules: 17.08/5.14 17.08/5.14 3(4(5(x1))) -> 4(3(5(x1))) popout

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all output return to SRS_Standard 2019-03-29 03.29