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SRS_Standard 2019-03-29 03.29 pair #432286285
details
property
value
status
complete
benchmark
85477.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n091.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
19.1527 seconds
cpu usage
72.1979
user time
69.5893
system time
2.60868
max virtual memory
4.0452676E7
max residence set size
5657004.0
stage attributes
key
value
starexec-result
YES
output
66.01/17.62 YES 71.96/19.06 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 71.96/19.06 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 71.96/19.06 71.96/19.06 71.96/19.06 Termination w.r.t. Q of the given QTRS could be proven: 71.96/19.06 71.96/19.06 (0) QTRS 71.96/19.06 (1) QTRSRRRProof [EQUIVALENT, 177 ms] 71.96/19.06 (2) QTRS 71.96/19.06 (3) DependencyPairsProof [EQUIVALENT, 322 ms] 71.96/19.06 (4) QDP 71.96/19.06 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 71.96/19.06 (6) AND 71.96/19.06 (7) QDP 71.96/19.06 (8) QDPOrderProof [EQUIVALENT, 271 ms] 71.96/19.06 (9) QDP 71.96/19.06 (10) QDPOrderProof [EQUIVALENT, 85 ms] 71.96/19.06 (11) QDP 71.96/19.06 (12) QDPOrderProof [EQUIVALENT, 65 ms] 71.96/19.06 (13) QDP 71.96/19.06 (14) DependencyGraphProof [EQUIVALENT, 0 ms] 71.96/19.06 (15) QDP 71.96/19.06 (16) QDPOrderProof [EQUIVALENT, 51 ms] 71.96/19.06 (17) QDP 71.96/19.06 (18) PisEmptyProof [EQUIVALENT, 0 ms] 71.96/19.06 (19) YES 71.96/19.06 (20) QDP 71.96/19.06 (21) UsableRulesProof [EQUIVALENT, 0 ms] 71.96/19.06 (22) QDP 71.96/19.06 (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] 71.96/19.06 (24) YES 71.96/19.06 71.96/19.06 71.96/19.06 ---------------------------------------- 71.96/19.06 71.96/19.06 (0) 71.96/19.06 Obligation: 71.96/19.06 Q restricted rewrite system: 71.96/19.06 The TRS R consists of the following rules: 71.96/19.06 71.96/19.06 0(0(1(2(2(x1))))) -> 2(3(3(2(2(x1))))) 71.96/19.06 0(4(1(0(4(5(x1)))))) -> 5(2(5(3(4(5(x1)))))) 71.96/19.06 0(5(2(4(2(0(0(5(2(x1))))))))) -> 1(5(2(0(2(3(5(2(x1)))))))) 71.96/19.06 3(4(2(2(1(5(3(3(2(x1))))))))) -> 3(1(0(3(5(3(3(0(2(x1))))))))) 71.96/19.06 0(5(5(3(1(3(3(0(2(0(x1)))))))))) -> 3(3(3(2(5(0(4(0(5(0(x1)))))))))) 71.96/19.06 5(0(3(5(1(4(2(1(0(2(x1)))))))))) -> 5(2(0(1(3(1(1(0(2(x1))))))))) 71.96/19.06 2(4(5(2(4(3(4(3(1(2(3(x1))))))))))) -> 5(3(1(3(3(3(2(2(4(1(x1)))))))))) 71.96/19.06 0(2(1(5(3(5(3(0(5(5(5(0(x1)))))))))))) -> 2(2(5(4(4(2(3(3(0(3(5(4(x1)))))))))))) 71.96/19.06 3(2(0(0(4(0(0(0(2(5(1(0(x1)))))))))))) -> 1(5(2(4(0(4(2(0(0(5(0(2(x1)))))))))))) 71.96/19.06 3(3(3(2(3(3(1(2(2(4(3(3(x1)))))))))))) -> 1(2(2(1(3(2(3(5(2(5(5(x1))))))))))) 71.96/19.06 5(5(4(0(3(0(2(3(3(2(3(3(x1)))))))))))) -> 5(2(2(3(0(1(1(3(4(4(5(x1))))))))))) 71.96/19.06 0(0(3(1(0(2(2(3(2(5(3(0(1(x1))))))))))))) -> 0(1(3(4(3(1(0(0(3(3(4(0(x1)))))))))))) 71.96/19.06 2(1(3(3(4(3(0(2(0(4(0(3(1(x1))))))))))))) -> 2(4(1(3(0(1(3(3(2(1(3(4(4(x1))))))))))))) 71.96/19.06 2(4(2(3(3(5(0(4(5(5(2(5(5(x1))))))))))))) -> 3(5(4(3(3(2(0(1(1(4(3(5(x1)))))))))))) 71.96/19.06 5(2(3(1(2(1(5(4(5(1(1(0(0(x1))))))))))))) -> 5(2(0(5(4(3(4(3(3(0(5(0(0(x1))))))))))))) 71.96/19.06 2(5(0(2(2(0(3(3(1(4(2(5(0(0(0(x1))))))))))))))) -> 5(3(1(3(1(4(4(2(5(4(5(4(4(1(0(x1))))))))))))))) 71.96/19.06 2(5(1(2(0(0(5(1(2(2(1(0(2(1(5(x1))))))))))))))) -> 0(3(2(5(5(2(4(4(3(5(3(4(3(4(1(x1))))))))))))))) 71.96/19.06 2(5(3(5(2(4(2(1(3(0(5(0(3(1(3(x1))))))))))))))) -> 5(3(2(3(5(1(5(3(5(3(5(1(5(x1))))))))))))) 71.96/19.06 0(3(5(5(0(3(2(4(1(1(4(5(1(5(5(3(x1)))))))))))))))) -> 0(5(1(2(4(0(2(0(1(2(4(3(3(3(0(5(x1)))))))))))))))) 71.96/19.06 0(4(4(1(2(2(1(3(5(3(1(3(4(1(1(0(x1)))))))))))))))) -> 0(1(5(2(2(5(0(5(3(3(2(3(4(1(5(2(x1)))))))))))))))) 71.96/19.06 3(3(2(0(1(5(4(5(4(2(4(2(3(4(4(3(x1)))))))))))))))) -> 5(2(5(5(5(5(2(3(3(1(2(5(0(4(0(x1))))))))))))))) 71.96/19.06 3(0(0(2(0(3(5(3(0(2(5(3(5(5(2(3(4(x1))))))))))))))))) -> 5(3(4(3(0(4(2(2(1(0(4(1(0(0(3(4(x1)))))))))))))))) 71.96/19.06 0(1(1(3(5(1(1(1(3(0(0(4(1(2(2(3(1(5(0(x1))))))))))))))))))) -> 2(4(5(5(5(4(0(2(5(0(5(4(4(5(5(0(5(0(0(x1))))))))))))))))))) 71.96/19.06 1(0(3(2(0(2(4(1(3(2(5(0(0(4(5(0(3(4(3(x1))))))))))))))))))) -> 4(2(2(0(0(0(0(4(1(4(0(5(3(5(0(2(4(3(x1)))))))))))))))))) 71.96/19.06 1(2(1(3(4(2(4(4(1(2(5(2(3(3(3(5(1(0(0(x1))))))))))))))))))) -> 1(5(3(2(5(0(5(2(3(0(0(3(1(5(3(4(4(3(0(x1))))))))))))))))))) 71.96/19.06 3(3(5(4(1(1(3(2(1(4(4(0(1(1(0(4(3(1(0(x1))))))))))))))))))) -> 3(4(0(2(3(1(3(0(4(4(3(4(4(4(3(2(1(0(x1)))))))))))))))))) 71.96/19.06 2(5(0(4(0(3(4(3(4(0(0(2(4(2(4(1(0(1(2(3(x1)))))))))))))))))))) -> 0(1(2(0(5(4(3(2(0(2(3(3(3(0(1(5(5(5(1(x1))))))))))))))))))) 71.96/19.06 0(3(4(2(2(0(3(4(1(1(5(0(3(5(2(1(3(3(4(1(0(x1))))))))))))))))))))) -> 2(4(4(3(0(5(5(5(5(2(2(0(2(5(1(1(0(1(0(0(1(x1))))))))))))))))))))) 71.96/19.06 2(4(5(2(1(3(5(5(1(1(1(0(0(4(5(0(1(2(0(2(5(x1))))))))))))))))))))) -> 2(0(0(2(2(1(2(1(2(2(2(0(5(3(3(2(5(2(2(5(2(x1))))))))))))))))))))) 71.96/19.06 4(3(1(4(3(3(3(3(4(4(2(5(1(4(5(1(4(3(2(3(3(x1))))))))))))))))))))) -> 2(5(5(1(1(1(4(5(3(2(3(3(0(4(2(3(1(5(4(5(x1)))))))))))))))))))) 71.96/19.06 71.96/19.06 Q is empty. 71.96/19.06 71.96/19.06 ---------------------------------------- 71.96/19.06 71.96/19.06 (1) QTRSRRRProof (EQUIVALENT) 71.96/19.06 Used ordering: 71.96/19.06 Polynomial interpretation [POLO]: 71.96/19.06 71.96/19.06 POL(0(x_1)) = 1 + x_1 71.96/19.06 POL(1(x_1)) = 1 + x_1 71.96/19.06 POL(2(x_1)) = 1 + x_1 71.96/19.06 POL(3(x_1)) = 1 + x_1 71.96/19.06 POL(4(x_1)) = 1 + x_1 71.96/19.06 POL(5(x_1)) = 1 + x_1 71.96/19.06 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 71.96/19.06 71.96/19.06 0(5(2(4(2(0(0(5(2(x1))))))))) -> 1(5(2(0(2(3(5(2(x1)))))))) 71.96/19.06 5(0(3(5(1(4(2(1(0(2(x1)))))))))) -> 5(2(0(1(3(1(1(0(2(x1))))))))) 71.96/19.06 2(4(5(2(4(3(4(3(1(2(3(x1))))))))))) -> 5(3(1(3(3(3(2(2(4(1(x1)))))))))) 71.96/19.06 3(3(3(2(3(3(1(2(2(4(3(3(x1)))))))))))) -> 1(2(2(1(3(2(3(5(2(5(5(x1))))))))))) 71.96/19.06 5(5(4(0(3(0(2(3(3(2(3(3(x1)))))))))))) -> 5(2(2(3(0(1(1(3(4(4(5(x1))))))))))) 71.96/19.06 0(0(3(1(0(2(2(3(2(5(3(0(1(x1))))))))))))) -> 0(1(3(4(3(1(0(0(3(3(4(0(x1)))))))))))) 71.96/19.06 2(4(2(3(3(5(0(4(5(5(2(5(5(x1))))))))))))) -> 3(5(4(3(3(2(0(1(1(4(3(5(x1)))))))))))) 71.96/19.06 2(5(3(5(2(4(2(1(3(0(5(0(3(1(3(x1))))))))))))))) -> 5(3(2(3(5(1(5(3(5(3(5(1(5(x1))))))))))))) 71.96/19.06 3(3(2(0(1(5(4(5(4(2(4(2(3(4(4(3(x1)))))))))))))))) -> 5(2(5(5(5(5(2(3(3(1(2(5(0(4(0(x1))))))))))))))) 71.96/19.06 3(0(0(2(0(3(5(3(0(2(5(3(5(5(2(3(4(x1))))))))))))))))) -> 5(3(4(3(0(4(2(2(1(0(4(1(0(0(3(4(x1)))))))))))))))) 71.96/19.06 1(0(3(2(0(2(4(1(3(2(5(0(0(4(5(0(3(4(3(x1))))))))))))))))))) -> 4(2(2(0(0(0(0(4(1(4(0(5(3(5(0(2(4(3(x1)))))))))))))))))) 71.96/19.06 3(3(5(4(1(1(3(2(1(4(4(0(1(1(0(4(3(1(0(x1))))))))))))))))))) -> 3(4(0(2(3(1(3(0(4(4(3(4(4(4(3(2(1(0(x1))))))))))))))))))
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