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SRS_Standard 2019-03-29 03.29 pair #432286339
details
property
value
status
complete
benchmark
86745.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n112.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.86471 seconds
cpu usage
12.1113
user time
11.6389
system time
0.472325
max virtual memory
1.9092656E7
max residence set size
1443080.0
stage attributes
key
value
starexec-result
YES
output
11.79/3.78 YES 12.04/3.82 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 12.04/3.82 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 12.04/3.82 12.04/3.82 12.04/3.82 Termination w.r.t. Q of the given QTRS could be proven: 12.04/3.82 12.04/3.82 (0) QTRS 12.04/3.82 (1) QTRSRRRProof [EQUIVALENT, 169 ms] 12.04/3.82 (2) QTRS 12.04/3.82 (3) DependencyPairsProof [EQUIVALENT, 79 ms] 12.04/3.82 (4) QDP 12.04/3.82 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 12.04/3.82 (6) TRUE 12.04/3.82 12.04/3.82 12.04/3.82 ---------------------------------------- 12.04/3.82 12.04/3.82 (0) 12.04/3.82 Obligation: 12.04/3.82 Q restricted rewrite system: 12.04/3.82 The TRS R consists of the following rules: 12.04/3.82 12.04/3.82 0(1(2(1(x1)))) -> 3(3(2(x1))) 12.04/3.82 1(2(3(2(x1)))) -> 3(4(4(2(x1)))) 12.04/3.82 0(5(1(4(1(x1))))) -> 4(1(4(3(x1)))) 12.04/3.82 4(3(0(2(2(x1))))) -> 4(1(1(4(5(x1))))) 12.04/3.82 5(5(1(5(2(x1))))) -> 4(3(5(2(x1)))) 12.04/3.82 0(4(3(3(4(4(1(x1))))))) -> 4(4(2(5(0(2(2(x1))))))) 12.04/3.82 2(0(4(1(2(2(1(3(x1)))))))) -> 2(3(0(4(5(5(1(1(x1)))))))) 12.04/3.82 1(2(2(1(5(2(1(2(1(x1))))))))) -> 1(2(2(2(0(2(4(4(3(x1))))))))) 12.04/3.82 4(5(1(4(3(4(3(5(4(3(x1)))))))))) -> 4(3(2(0(2(4(3(2(3(x1))))))))) 12.04/3.82 1(4(1(2(5(3(4(3(3(2(2(x1))))))))))) -> 0(0(1(4(0(4(5(2(3(0(4(x1))))))))))) 12.04/3.82 4(5(1(3(2(2(5(4(3(5(4(x1))))))))))) -> 4(0(1(1(5(3(5(4(2(2(4(x1))))))))))) 12.04/3.82 5(1(4(0(1(5(5(3(3(0(3(2(x1)))))))))))) -> 3(0(5(3(2(0(1(0(4(1(2(x1))))))))))) 12.04/3.82 0(4(1(1(3(3(2(5(4(2(2(1(3(x1))))))))))))) -> 1(0(1(4(3(4(4(2(3(4(2(2(1(x1))))))))))))) 12.04/3.82 5(1(3(3(5(3(1(3(2(1(2(0(4(x1))))))))))))) -> 2(2(3(2(3(2(3(5(2(5(1(4(x1)))))))))))) 12.04/3.82 0(5(3(5(3(3(3(3(4(5(5(5(4(4(x1)))))))))))))) -> 0(1(0(3(2(3(4(0(5(5(2(4(0(x1))))))))))))) 12.04/3.82 1(5(0(1(0(4(4(2(2(3(4(1(4(1(x1)))))))))))))) -> 3(4(5(0(0(4(0(3(5(0(4(1(5(4(x1)))))))))))))) 12.04/3.82 5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> 5(4(0(1(4(3(2(2(3(3(3(5(5(1(x1)))))))))))))) 12.04/3.82 5(1(2(2(4(0(2(4(2(5(2(1(4(0(5(x1))))))))))))))) -> 0(1(4(3(0(5(3(4(3(3(1(4(1(5(x1)))))))))))))) 12.04/3.82 0(4(0(3(2(0(2(1(2(0(0(2(4(2(3(4(x1)))))))))))))))) -> 3(2(1(3(3(4(5(5(4(0(3(2(1(2(3(x1))))))))))))))) 12.04/3.82 1(5(1(3(3(3(0(4(0(2(3(1(5(1(4(2(x1)))))))))))))))) -> 3(4(0(5(0(4(4(0(2(1(3(1(4(0(4(2(x1)))))))))))))))) 12.04/3.82 5(1(1(0(0(3(2(5(0(3(4(2(1(2(5(1(x1)))))))))))))))) -> 5(1(3(2(1(0(1(0(5(5(3(1(1(4(1(0(x1)))))))))))))))) 12.04/3.82 3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> 3(2(3(1(0(2(0(2(4(5(5(4(1(0(0(2(5(0(x1)))))))))))))))))) 12.04/3.82 4(1(0(3(0(4(3(2(2(1(3(2(2(4(0(2(4(x1))))))))))))))))) -> 4(2(5(3(3(3(1(2(4(5(3(5(3(5(1(3(4(x1))))))))))))))))) 12.04/3.82 3(0(0(2(1(1(3(5(1(2(2(2(5(1(0(0(0(1(x1)))))))))))))))))) -> 3(5(1(0(4(0(1(2(2(5(0(3(4(3(5(5(4(3(x1)))))))))))))))))) 12.04/3.82 4(5(5(1(5(3(5(3(2(0(4(4(2(1(0(3(5(3(x1)))))))))))))))))) -> 4(4(0(5(1(3(5(5(3(4(4(0(0(4(3(0(0(0(x1)))))))))))))))))) 12.04/3.82 4(5(5(2(5(1(0(2(1(0(1(4(4(4(2(1(5(1(x1)))))))))))))))))) -> 4(3(2(3(0(2(5(3(4(1(4(4(5(1(1(4(0(x1))))))))))))))))) 12.04/3.82 0(2(0(2(2(0(1(1(2(4(1(1(0(3(3(2(1(4(1(4(x1)))))))))))))))))))) -> 2(2(3(3(0(2(1(3(5(3(4(4(1(2(4(4(4(4(4(0(x1)))))))))))))))))))) 12.04/3.82 3(4(1(1(0(3(4(0(5(5(5(5(3(5(2(3(2(3(1(3(x1)))))))))))))))))))) -> 3(4(3(4(3(1(0(1(1(4(5(5(2(3(2(3(0(2(3(x1))))))))))))))))))) 12.04/3.82 4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> 4(4(3(1(4(4(0(5(3(5(2(1(4(2(4(1(0(2(4(5(0(x1))))))))))))))))))))) 12.04/3.82 5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> 5(0(3(2(2(0(4(1(1(5(3(0(1(5(0(1(3(2(2(3(x1)))))))))))))))))))) 12.04/3.82 12.04/3.82 Q is empty. 12.04/3.82 12.04/3.82 ---------------------------------------- 12.04/3.82 12.04/3.82 (1) QTRSRRRProof (EQUIVALENT) 12.04/3.82 Used ordering: 12.04/3.82 Polynomial interpretation [POLO]: 12.04/3.82 12.04/3.82 POL(0(x_1)) = 61 + x_1 12.04/3.82 POL(1(x_1)) = 70 + x_1 12.04/3.82 POL(2(x_1)) = 76 + x_1 12.04/3.82 POL(3(x_1)) = 77 + x_1 12.04/3.82 POL(4(x_1)) = 64 + x_1 12.04/3.82 POL(5(x_1)) = 60 + x_1 12.04/3.82 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 12.04/3.82 12.04/3.82 0(1(2(1(x1)))) -> 3(3(2(x1))) 12.04/3.82 1(2(3(2(x1)))) -> 3(4(4(2(x1)))) 12.04/3.82 0(5(1(4(1(x1))))) -> 4(1(4(3(x1)))) 12.04/3.82 4(3(0(2(2(x1))))) -> 4(1(1(4(5(x1))))) 12.04/3.82 5(5(1(5(2(x1))))) -> 4(3(5(2(x1)))) 12.04/3.82 2(0(4(1(2(2(1(3(x1)))))))) -> 2(3(0(4(5(5(1(1(x1)))))))) 12.04/3.82 1(2(2(1(5(2(1(2(1(x1))))))))) -> 1(2(2(2(0(2(4(4(3(x1))))))))) 12.04/3.82 4(5(1(4(3(4(3(5(4(3(x1)))))))))) -> 4(3(2(0(2(4(3(2(3(x1))))))))) 12.04/3.82 1(4(1(2(5(3(4(3(3(2(2(x1))))))))))) -> 0(0(1(4(0(4(5(2(3(0(4(x1))))))))))) 12.04/3.82 4(5(1(3(2(2(5(4(3(5(4(x1))))))))))) -> 4(0(1(1(5(3(5(4(2(2(4(x1))))))))))) 12.04/3.82 5(1(4(0(1(5(5(3(3(0(3(2(x1)))))))))))) -> 3(0(5(3(2(0(1(0(4(1(2(x1))))))))))) 12.04/3.82 0(4(1(1(3(3(2(5(4(2(2(1(3(x1))))))))))))) -> 1(0(1(4(3(4(4(2(3(4(2(2(1(x1))))))))))))) 12.04/3.82 5(1(3(3(5(3(1(3(2(1(2(0(4(x1))))))))))))) -> 2(2(3(2(3(2(3(5(2(5(1(4(x1)))))))))))) 12.04/3.82 0(5(3(5(3(3(3(3(4(5(5(5(4(4(x1)))))))))))))) -> 0(1(0(3(2(3(4(0(5(5(2(4(0(x1))))))))))))) 12.04/3.82 1(5(0(1(0(4(4(2(2(3(4(1(4(1(x1)))))))))))))) -> 3(4(5(0(0(4(0(3(5(0(4(1(5(4(x1)))))))))))))) 12.04/3.82 5(1(2(2(4(0(2(4(2(5(2(1(4(0(5(x1))))))))))))))) -> 0(1(4(3(0(5(3(4(3(3(1(4(1(5(x1)))))))))))))) 12.04/3.82 0(4(0(3(2(0(2(1(2(0(0(2(4(2(3(4(x1)))))))))))))))) -> 3(2(1(3(3(4(5(5(4(0(3(2(1(2(3(x1))))))))))))))) 12.04/3.82 1(5(1(3(3(3(0(4(0(2(3(1(5(1(4(2(x1)))))))))))))))) -> 3(4(0(5(0(4(4(0(2(1(3(1(4(0(4(2(x1)))))))))))))))) 12.04/3.82 5(1(1(0(0(3(2(5(0(3(4(2(1(2(5(1(x1)))))))))))))))) -> 5(1(3(2(1(0(1(0(5(5(3(1(1(4(1(0(x1)))))))))))))))) 12.04/3.82 4(1(0(3(0(4(3(2(2(1(3(2(2(4(0(2(4(x1))))))))))))))))) -> 4(2(5(3(3(3(1(2(4(5(3(5(3(5(1(3(4(x1))))))))))))))))) 12.04/3.82 3(0(0(2(1(1(3(5(1(2(2(2(5(1(0(0(0(1(x1)))))))))))))))))) -> 3(5(1(0(4(0(1(2(2(5(0(3(4(3(5(5(4(3(x1)))))))))))))))))) 12.04/3.82 4(5(5(1(5(3(5(3(2(0(4(4(2(1(0(3(5(3(x1)))))))))))))))))) -> 4(4(0(5(1(3(5(5(3(4(4(0(0(4(3(0(0(0(x1)))))))))))))))))) 12.04/3.82 4(5(5(2(5(1(0(2(1(0(1(4(4(4(2(1(5(1(x1)))))))))))))))))) -> 4(3(2(3(0(2(5(3(4(1(4(4(5(1(1(4(0(x1))))))))))))))))) 12.04/3.82 0(2(0(2(2(0(1(1(2(4(1(1(0(3(3(2(1(4(1(4(x1)))))))))))))))))))) -> 2(2(3(3(0(2(1(3(5(3(4(4(1(2(4(4(4(4(4(0(x1)))))))))))))))))))) 12.04/3.82 3(4(1(1(0(3(4(0(5(5(5(5(3(5(2(3(2(3(1(3(x1)))))))))))))))))))) -> 3(4(3(4(3(1(0(1(1(4(5(5(2(3(2(3(0(2(3(x1))))))))))))))))))) 12.04/3.82 12.04/3.82 12.04/3.82 12.04/3.82 12.04/3.82 ----------------------------------------
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