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SRS_Standard 2019-03-29 03.29 pair #432287821
details
property
value
status
complete
benchmark
230819.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.59246 seconds
cpu usage
18.6888
user time
17.3746
system time
1.3142
max virtual memory
3.8312736E7
max residence set size
3363660.0
stage attributes
key
value
starexec-result
YES
output
11.53/3.75 YES 18.29/5.51 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 18.29/5.51 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 18.29/5.51 18.29/5.51 18.29/5.51 Termination w.r.t. Q of the given QTRS could be proven: 18.29/5.51 18.29/5.51 (0) QTRS 18.29/5.51 (1) QTRSRRRProof [EQUIVALENT, 93 ms] 18.29/5.51 (2) QTRS 18.29/5.51 (3) Overlay + Local Confluence [EQUIVALENT, 3 ms] 18.29/5.51 (4) QTRS 18.29/5.51 (5) DependencyPairsProof [EQUIVALENT, 26 ms] 18.29/5.51 (6) QDP 18.29/5.51 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 18.29/5.51 (8) TRUE 18.29/5.51 18.29/5.51 18.29/5.51 ---------------------------------------- 18.29/5.51 18.29/5.51 (0) 18.29/5.51 Obligation: 18.29/5.51 Q restricted rewrite system: 18.29/5.51 The TRS R consists of the following rules: 18.29/5.51 18.29/5.51 0(x1) -> 1(x1) 18.29/5.51 0(0(x1)) -> 0(x1) 18.29/5.51 3(4(5(x1))) -> 4(3(5(x1))) 18.29/5.51 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(0(0(0(0(0(1(0(1(1(0(1(1(1(0(1(0(0(1(0(1(1(0(0(0(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(0(1(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(1(0(1(1(1(1(1(0(0(1(0(0(1(1(1(1(0(1(1(0(0(0(1(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(0(1(0(1(0(0(1(0(1(0(1(0(0(0(1(1(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(1(1(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 18.29/5.51 0(0(1(1(0(0(1(1(1(0(0(0(1(1(1(0(1(0(1(1(1(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(1(1(1(0(1(0(1(0(0(1(0(0(0(1(1(0(1(0(0(1(0(0(1(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(0(1(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(1(1(0(1(0(1(1(0(1(0(0(0(1(1(1(1(0(1(1(1(1(1(0(1(0(1(1(0(1(1(0(1(0(0(1(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(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 18.29/5.51 18.29/5.51 Q is empty. 18.29/5.51 18.29/5.51 ---------------------------------------- 18.29/5.51 18.29/5.51 (1) QTRSRRRProof (EQUIVALENT) 18.29/5.51 Used ordering: 18.29/5.51 Polynomial interpretation [POLO]: 18.29/5.51 18.29/5.51 POL(0(x_1)) = 10 + x_1 18.29/5.51 POL(1(x_1)) = 9 + x_1 18.29/5.51 POL(2(x_1)) = 14 + x_1 18.29/5.51 POL(3(x_1)) = x_1 18.29/5.51 POL(4(x_1)) = x_1 18.29/5.51 POL(5(x_1)) = x_1 18.29/5.51 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 18.29/5.51 18.29/5.51 0(x1) -> 1(x1) 18.29/5.51 0(0(x1)) -> 0(x1) 18.29/5.51 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(0(0(0(0(0(1(0(1(1(0(1(1(1(0(1(0(0(1(0(1(1(0(0(0(1(1(1(1(1(1(0(1(0(0(0(1(1(0(0(0(1(0(1(1(1(0(1(1(0(1(1(0(0(1(1(1(1(0(1(1(1(1(1(0(0(1(0(0(1(1(1(1(0(1(1(0(0(0(1(1(1(1(0(0(0(1(1(0(0(0(0(1(1(0(0(0(1(0(1(0(0(1(0(1(0(1(0(0(0(1(1(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(1(1(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 18.29/5.51 0(0(1(1(0(0(1(1(1(0(0(0(1(1(1(0(1(0(1(1(1(1(0(0(0(1(0(1(1(0(0(1(1(0(0(0(1(1(1(0(1(0(1(0(0(1(0(0(0(1(1(0(1(0(0(1(0(0(1(0(0(1(0(0(0(0(1(0(0(1(0(1(1(0(0(1(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(0(1(0(1(0(0(0(0(0(0(1(1(0(1(1(1(0(1(0(1(1(0(1(0(0(0(1(1(1(1(0(1(1(1(1(1(0(1(0(1(1(0(1(1(0(1(0(0(1(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(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 18.29/5.51 18.29/5.51 18.29/5.51 18.29/5.51 18.29/5.51 ---------------------------------------- 18.29/5.51 18.29/5.51 (2) 18.29/5.51 Obligation: 18.29/5.51 Q restricted rewrite system: 18.29/5.51 The TRS R consists of the following rules: 18.29/5.51 18.29/5.51 3(4(5(x1))) -> 4(3(5(x1))) 18.29/5.51 18.29/5.51 Q is empty. 18.29/5.51 18.29/5.51 ---------------------------------------- 18.29/5.51 18.29/5.51 (3) Overlay + Local Confluence (EQUIVALENT) 18.29/5.51 The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. 18.29/5.51 ---------------------------------------- 18.29/5.51 18.29/5.51 (4) 18.29/5.51 Obligation: 18.29/5.51 Q restricted rewrite system: 18.29/5.51 The TRS R consists of the following rules: 18.29/5.51 18.29/5.51 3(4(5(x1))) -> 4(3(5(x1))) 18.29/5.51 18.29/5.51 The set Q consists of the following terms: 18.29/5.51 18.29/5.51 3(4(5(x0))) 18.29/5.51 18.29/5.51 18.29/5.51 ---------------------------------------- 18.29/5.51 18.29/5.51 (5) DependencyPairsProof (EQUIVALENT) 18.29/5.51 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 18.29/5.51 ---------------------------------------- 18.29/5.51 18.29/5.51 (6) 18.29/5.51 Obligation: 18.29/5.51 Q DP problem: 18.29/5.51 The TRS P consists of the following rules: 18.29/5.51 18.29/5.51 3^1(4(5(x1))) -> 3^1(5(x1)) 18.29/5.51 18.29/5.51 The TRS R consists of the following rules: 18.29/5.51 18.29/5.51 3(4(5(x1))) -> 4(3(5(x1)))
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