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SRS_Standard 2019-03-29 03.29 pair #432287293
details
property
value
status
complete
benchmark
230948.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n049.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.24093 seconds
cpu usage
20.7389
user time
19.7315
system time
1.00743
max virtual memory
1.9152524E7
max residence set size
3266608.0
stage attributes
key
value
starexec-result
YES
output
14.24/4.55 YES 20.18/6.07 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 20.18/6.07 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 20.18/6.07 20.18/6.07 20.18/6.07 Termination w.r.t. Q of the given QTRS could be proven: 20.18/6.07 20.18/6.07 (0) QTRS 20.18/6.07 (1) QTRSRRRProof [EQUIVALENT, 182 ms] 20.18/6.07 (2) QTRS 20.18/6.07 (3) Overlay + Local Confluence [EQUIVALENT, 10 ms] 20.18/6.07 (4) QTRS 20.18/6.07 (5) DependencyPairsProof [EQUIVALENT, 28 ms] 20.18/6.07 (6) QDP 20.18/6.07 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 20.18/6.07 (8) TRUE 20.18/6.07 20.18/6.07 20.18/6.07 ---------------------------------------- 20.18/6.07 20.18/6.07 (0) 20.18/6.07 Obligation: 20.18/6.07 Q restricted rewrite system: 20.18/6.07 The TRS R consists of the following rules: 20.18/6.07 20.18/6.07 0(x1) -> 1(x1) 20.18/6.07 0(0(x1)) -> 0(x1) 20.18/6.07 3(4(5(x1))) -> 4(3(5(x1))) 20.18/6.07 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(1(1(1(0(1(0(1(1(1(0(1(1(0(0(0(1(0(1(1(1(1(1(0(1(1(0(0(1(0(1(1(1(1(1(1(1(1(0(0(0(1(1(0(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(0(0(1(0(1(0(0(1(0(1(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(0(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(0(0(1(0(1(1(0(0(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(1(1(0(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(0(1(0(0(1(1(0(0(0(1(1(1(0(0(1(1(0(0(0(1(0(1(0(0(0(1(1(1(0(0(0(1(1(1(0(1(0(1(0(1(0(1(1(1(1(1(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 20.18/6.07 0(0(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(1(1(1(0(1(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(0(0(1(0(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(0(1(1(1(1(0(0(0(1(0(1(1(0(0(1(1(1(0(0(0(1(0(1(0(0(0(1(1(0(0(0(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(1(0(0(1(1(0(0(1(0(1(1(1(0(1(0(0(0(1(1(0(1(0(1(1(1(1(0(1(1(0(0(1(1(1(0(0(1(0(1(1(1(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(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 20.18/6.07 20.18/6.07 Q is empty. 20.18/6.07 20.18/6.07 ---------------------------------------- 20.18/6.07 20.18/6.07 (1) QTRSRRRProof (EQUIVALENT) 20.18/6.07 Used ordering: 20.18/6.07 Polynomial interpretation [POLO]: 20.18/6.07 20.18/6.07 POL(0(x_1)) = 6 + x_1 20.18/6.07 POL(1(x_1)) = 5 + x_1 20.18/6.07 POL(2(x_1)) = 9 + x_1 20.18/6.07 POL(3(x_1)) = x_1 20.18/6.07 POL(4(x_1)) = x_1 20.18/6.07 POL(5(x_1)) = x_1 20.18/6.07 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 20.18/6.07 20.18/6.07 0(x1) -> 1(x1) 20.18/6.07 0(0(x1)) -> 0(x1) 20.18/6.07 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(1(1(1(0(1(0(1(1(1(0(1(1(0(0(0(1(0(1(1(1(1(1(0(1(1(0(0(1(0(1(1(1(1(1(1(1(1(0(0(0(1(1(0(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(0(0(1(0(1(0(0(1(0(1(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(0(1(1(0(0(1(0(0(0(0(1(0(1(0(0(1(0(0(0(1(0(1(1(0(0(1(0(0(0(0(0(1(1(0(1(0(0(1(0(1(1(1(0(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(0(1(0(0(1(1(0(0(0(1(1(1(0(0(1(1(0(0(0(1(0(1(0(0(0(1(1(1(0(0(0(1(1(1(0(1(0(1(0(1(0(1(1(1(1(1(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 20.18/6.07 0(0(0(0(0(0(0(0(0(1(1(0(1(1(1(1(0(0(1(0(0(1(1(1(1(1(0(1(1(0(0(0(1(0(0(1(1(1(0(1(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(0(0(1(0(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(1(0(1(0(0(0(1(0(1(1(1(1(0(0(0(1(0(1(1(0(0(1(1(1(0(0(0(1(0(1(0(0(0(1(1(0(0(0(0(1(0(1(1(1(0(1(0(0(1(0(0(0(1(1(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(1(0(1(0(0(0(0(0(0(1(1(0(1(1(0(0(1(1(0(0(1(0(1(1(1(0(1(0(0(0(1(1(0(1(0(1(1(1(1(0(1(1(0(0(1(1(1(0(0(1(0(1(1(1(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(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 20.18/6.07 20.18/6.07 20.18/6.07 20.18/6.07 20.18/6.07 ---------------------------------------- 20.18/6.07 20.18/6.07 (2) 20.18/6.07 Obligation: 20.18/6.07 Q restricted rewrite system: 20.18/6.07 The TRS R consists of the following rules: 20.18/6.07 20.18/6.07 3(4(5(x1))) -> 4(3(5(x1))) 20.18/6.07 20.18/6.07 Q is empty. 20.18/6.07 20.18/6.07 ---------------------------------------- 20.18/6.07 20.18/6.07 (3) Overlay + Local Confluence (EQUIVALENT) 20.18/6.07 The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. 20.18/6.07 ---------------------------------------- 20.18/6.07 20.18/6.07 (4) 20.18/6.07 Obligation: 20.18/6.07 Q restricted rewrite system: 20.18/6.07 The TRS R consists of the following rules: 20.18/6.07 20.18/6.07 3(4(5(x1))) -> 4(3(5(x1))) 20.18/6.07 20.18/6.07 The set Q consists of the following terms: 20.18/6.07 20.18/6.07 3(4(5(x0))) 20.18/6.07 20.18/6.07 20.18/6.07 ---------------------------------------- 20.18/6.07 20.18/6.07 (5) DependencyPairsProof (EQUIVALENT) 20.18/6.07 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 20.18/6.07 ---------------------------------------- 20.18/6.07 20.18/6.07 (6) 20.18/6.07 Obligation: 20.18/6.07 Q DP problem: 20.18/6.07 The TRS P consists of the following rules: 20.18/6.07 20.18/6.07 3^1(4(5(x1))) -> 3^1(5(x1)) 20.18/6.07 20.18/6.07 The TRS R consists of the following rules: 20.18/6.07 20.18/6.07 3(4(5(x1))) -> 4(3(5(x1)))
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