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SRS_Standard 2019-03-29 03.29 pair #432287281
details
property
value
status
complete
benchmark
231230.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)
7.11337 seconds
cpu usage
19.5094
user time
18.4383
system time
1.07111
max virtual memory
5.660886E7
max residence set size
3364332.0
stage attributes
key
value
starexec-result
YES
output
19.16/5.68 YES 19.28/5.72 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 19.28/5.72 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 19.28/5.72 19.28/5.72 19.28/5.72 Termination w.r.t. Q of the given QTRS could be proven: 19.28/5.72 19.28/5.72 (0) QTRS 19.28/5.72 (1) QTRSRRRProof [EQUIVALENT, 159 ms] 19.28/5.72 (2) QTRS 19.28/5.72 (3) Overlay + Local Confluence [EQUIVALENT, 9 ms] 19.28/5.72 (4) QTRS 19.28/5.72 (5) DependencyPairsProof [EQUIVALENT, 0 ms] 19.28/5.72 (6) QDP 19.28/5.72 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 19.28/5.72 (8) TRUE 19.28/5.72 19.28/5.72 19.28/5.72 ---------------------------------------- 19.28/5.72 19.28/5.72 (0) 19.28/5.72 Obligation: 19.28/5.72 Q restricted rewrite system: 19.28/5.72 The TRS R consists of the following rules: 19.28/5.72 19.28/5.72 0(x1) -> 1(x1) 19.28/5.72 0(0(x1)) -> 0(x1) 19.28/5.72 3(4(5(x1))) -> 4(3(5(x1))) 19.28/5.72 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(1(1(0(1(0(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(1(0(0(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(1(0(0(1(1(1(1(1(1(1(0(0(1(0(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(1(0(1(1(0(0(0(1(1(1(1(0(0(0(0(0(0(1(1(0(1(1(1(1(1(1(1(0(0(1(0(1(1(0(1(1(0(0(0(0(0(0(0(0(0(0(1(1(0(0(0(1(1(1(1(1(0(0(1(1(1(0(0(1(0(0(0(1(1(0(0(1(0(0(0(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(0(1(1(1(0(0(1(0(1(1(1(1(0(0(1(0(0(1(0(1(0(1(1(0(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(1(1(0(0(1(0(1(0(1(1(0(1(0(1(0(0(1(0(1(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(1(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 19.28/5.72 1(0(1(0(1(1(1(1(0(1(0(0(1(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(1(1(0(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(1(1(0(0(0(1(0(0(0(1(0(0(1(0(1(1(0(1(1(0(1(0(1(1(0(0(0(0(1(1(1(0(0(1(0(0(1(1(1(1(1(1(0(1(1(0(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(0(1(0(1(1(1(0(1(1(1(0(1(0(0(1(1(1(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(0(0(1(1(0(0(0(1(1(1(0(0(1(0(0(0(0(1(1(1(0(1(0(0(0(0(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(1(0(1(1(1(0(1(0(1(1(1(0(0(0(0(0(0(1(0(0(1(0(0(1(1(0(0(0(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(0(1(1(0(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(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 19.28/5.72 19.28/5.72 Q is empty. 19.28/5.72 19.28/5.72 ---------------------------------------- 19.28/5.72 19.28/5.72 (1) QTRSRRRProof (EQUIVALENT) 19.28/5.72 Used ordering: 19.28/5.72 Polynomial interpretation [POLO]: 19.28/5.72 19.28/5.72 POL(0(x_1)) = 23 + x_1 19.28/5.72 POL(1(x_1)) = x_1 19.28/5.72 POL(2(x_1)) = 15 + x_1 19.28/5.72 POL(3(x_1)) = x_1 19.28/5.72 POL(4(x_1)) = x_1 19.28/5.72 POL(5(x_1)) = x_1 19.28/5.72 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 19.28/5.72 19.28/5.72 0(x1) -> 1(x1) 19.28/5.72 0(0(x1)) -> 0(x1) 19.28/5.72 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(0(0(1(1(0(1(1(0(1(0(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(1(0(0(0(1(0(0(0(0(0(0(1(1(1(1(1(1(0(0(0(1(0(0(1(1(1(1(1(1(1(0(0(1(0(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(0(0(0(1(0(0(0(0(0(0(0(0(1(0(1(0(1(1(0(0(0(1(1(1(1(0(0(0(0(0(0(1(1(0(1(1(1(1(1(1(1(0(0(1(0(1(1(0(1(1(0(0(0(0(0(0(0(0(0(0(1(1(0(0(0(1(1(1(1(1(0(0(1(1(1(0(0(1(0(0(0(1(1(0(0(1(0(0(0(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(0(1(1(1(0(0(1(0(1(1(1(1(0(0(1(0(0(1(0(1(0(1(1(0(1(0(1(0(1(0(1(1(1(1(0(0(1(1(0(1(1(0(0(1(0(1(0(1(1(0(1(0(1(0(0(1(0(1(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(1(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 19.28/5.72 1(0(1(0(1(1(1(1(0(1(0(0(1(0(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(1(1(0(1(0(0(1(0(1(1(0(1(0(1(1(1(1(0(1(0(1(1(0(0(0(1(0(0(0(1(0(0(1(0(1(1(0(1(1(0(1(0(1(1(0(0(0(0(1(1(1(0(0(1(0(0(1(1(1(1(1(1(0(1(1(0(1(0(1(0(1(0(1(1(0(0(0(0(1(1(1(0(1(1(0(1(0(0(1(1(1(1(0(0(0(0(1(1(0(1(1(0(0(0(1(1(0(1(0(1(1(1(0(1(1(1(0(1(0(0(1(1(1(1(0(0(0(0(0(0(1(0(0(1(0(0(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(0(0(1(1(0(0(0(1(1(1(0(0(1(0(0(0(0(1(1(1(0(1(0(0(0(0(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(1(0(1(1(1(0(1(0(1(1(1(0(0(0(0(0(0(1(0(0(1(0(0(1(1(0(0(0(1(1(0(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(0(1(1(0(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(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 19.28/5.72 19.28/5.72 19.28/5.72 19.28/5.72 19.28/5.72 ---------------------------------------- 19.28/5.72 19.28/5.72 (2) 19.28/5.72 Obligation: 19.28/5.72 Q restricted rewrite system: 19.28/5.72 The TRS R consists of the following rules: 19.28/5.72 19.28/5.72 3(4(5(x1))) -> 4(3(5(x1))) 19.28/5.72 19.28/5.72 Q is empty. 19.28/5.72 19.28/5.72 ---------------------------------------- 19.28/5.72 19.28/5.72 (3) Overlay + Local Confluence (EQUIVALENT) 19.28/5.72 The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. 19.28/5.72 ---------------------------------------- 19.28/5.72 19.28/5.72 (4) 19.28/5.72 Obligation: 19.28/5.72 Q restricted rewrite system: 19.28/5.72 The TRS R consists of the following rules: 19.28/5.72 19.28/5.72 3(4(5(x1))) -> 4(3(5(x1))) 19.28/5.72 19.28/5.72 The set Q consists of the following terms: 19.28/5.72 19.28/5.72 3(4(5(x0))) 19.28/5.72 19.28/5.72 19.28/5.72 ---------------------------------------- 19.28/5.72 19.28/5.72 (5) DependencyPairsProof (EQUIVALENT) 19.28/5.72 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 19.28/5.72 ---------------------------------------- 19.28/5.72 19.28/5.72 (6) 19.28/5.72 Obligation: 19.28/5.72 Q DP problem: 19.28/5.72 The TRS P consists of the following rules: 19.28/5.72 19.28/5.72 3^1(4(5(x1))) -> 3^1(5(x1)) 19.28/5.72 19.28/5.72 The TRS R consists of the following rules: 19.28/5.72 19.28/5.72 3(4(5(x1))) -> 4(3(5(x1)))
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