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SRS_Standard 2019-03-29 03.29 pair #432285817
details
property
value
status
complete
benchmark
96464.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n067.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
18.8124 seconds
cpu usage
70.713
user time
68.7012
system time
2.01184
max virtual memory
2.0422256E7
max residence set size
5252396.0
stage attributes
key
value
starexec-result
YES
output
68.54/18.24 YES 70.31/18.69 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 70.31/18.69 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 70.31/18.69 70.31/18.69 70.31/18.69 Termination w.r.t. Q of the given QTRS could be proven: 70.31/18.69 70.31/18.69 (0) QTRS 70.31/18.69 (1) QTRS Reverse [EQUIVALENT, 0 ms] 70.31/18.69 (2) QTRS 70.31/18.69 (3) QTRSRRRProof [EQUIVALENT, 122 ms] 70.31/18.69 (4) QTRS 70.31/18.69 (5) DependencyPairsProof [EQUIVALENT, 230 ms] 70.31/18.69 (6) QDP 70.31/18.69 (7) DependencyGraphProof [EQUIVALENT, 10 ms] 70.31/18.69 (8) QDP 70.31/18.69 (9) QDPOrderProof [EQUIVALENT, 561 ms] 70.31/18.69 (10) QDP 70.31/18.69 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 70.31/18.69 (12) QDP 70.31/18.69 (13) QDPOrderProof [EQUIVALENT, 184 ms] 70.31/18.69 (14) QDP 70.31/18.69 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 70.31/18.69 (16) QDP 70.31/18.69 (17) QDPOrderProof [EQUIVALENT, 36 ms] 70.31/18.69 (18) QDP 70.31/18.69 (19) PisEmptyProof [EQUIVALENT, 0 ms] 70.31/18.69 (20) YES 70.31/18.69 70.31/18.69 70.31/18.69 ---------------------------------------- 70.31/18.69 70.31/18.69 (0) 70.31/18.69 Obligation: 70.31/18.69 Q restricted rewrite system: 70.31/18.69 The TRS R consists of the following rules: 70.31/18.69 70.31/18.69 0(1(1(x1))) -> 2(1(1(x1))) 70.31/18.69 3(4(0(x1))) -> 4(5(5(x1))) 70.31/18.69 2(2(1(4(0(x1))))) -> 2(2(1(3(5(x1))))) 70.31/18.69 4(5(3(1(0(0(4(x1))))))) -> 4(5(0(1(4(5(4(x1))))))) 70.31/18.69 1(3(3(2(1(4(4(0(x1)))))))) -> 1(1(3(0(4(4(0(2(x1)))))))) 70.31/18.69 2(2(1(5(0(2(2(2(4(x1))))))))) -> 2(0(0(4(5(5(0(x1))))))) 70.31/18.69 0(2(3(0(2(0(3(5(2(4(x1)))))))))) -> 2(0(4(5(4(4(5(4(0(x1))))))))) 70.31/18.69 3(2(3(1(3(5(5(2(2(0(x1)))))))))) -> 4(0(0(0(0(2(2(2(0(x1))))))))) 70.31/18.69 3(4(1(1(0(0(5(0(5(0(x1)))))))))) -> 3(0(1(0(1(1(3(0(4(5(x1)))))))))) 70.31/18.69 4(1(3(0(0(5(1(5(0(1(x1)))))))))) -> 4(0(4(2(2(3(0(3(0(1(x1)))))))))) 70.31/18.69 3(3(0(2(0(1(4(5(5(5(0(x1))))))))))) -> 1(2(3(5(4(4(0(2(3(5(5(x1))))))))))) 70.31/18.69 3(0(2(0(2(1(2(5(4(3(5(4(x1)))))))))))) -> 3(2(2(0(3(0(5(4(5(1(5(4(x1)))))))))))) 70.31/18.69 3(0(5(4(5(3(0(0(0(5(1(1(x1)))))))))))) -> 3(2(4(1(4(0(3(0(2(1(1(3(x1)))))))))))) 70.31/18.69 3(3(0(4(4(1(1(1(3(1(2(1(x1)))))))))))) -> 3(3(5(3(0(1(4(4(0(0(1(x1))))))))))) 70.31/18.69 3(2(0(2(1(1(4(1(3(1(4(5(2(4(x1)))))))))))))) -> 0(2(2(4(4(5(4(1(0(0(5(0(0(x1))))))))))))) 70.31/18.69 4(1(3(3(0(5(2(3(3(3(0(5(4(3(x1)))))))))))))) -> 4(4(2(2(0(3(1(1(5(1(3(0(5(3(x1)))))))))))))) 70.31/18.69 3(4(0(2(1(1(0(4(1(1(0(2(3(5(3(x1))))))))))))))) -> 2(4(5(0(0(3(0(3(0(4(4(1(1(3(x1)))))))))))))) 70.31/18.69 5(5(1(4(1(3(4(2(3(4(3(1(2(0(5(x1))))))))))))))) -> 1(3(5(1(1(2(1(2(0(3(0(1(1(2(0(x1))))))))))))))) 70.31/18.69 0(5(0(3(3(3(2(3(1(1(1(2(5(1(2(5(x1)))))))))))))))) -> 0(5(1(4(3(3(4(4(1(1(4(1(0(1(4(x1))))))))))))))) 70.31/18.69 2(4(0(5(0(0(4(4(2(2(3(5(3(4(5(0(x1)))))))))))))))) -> 2(3(1(3(0(1(1(1(0(5(5(0(2(3(4(0(x1)))))))))))))))) 70.31/18.69 3(1(3(5(4(1(0(4(1(2(4(2(3(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(3(0(0(3(3(4(4(1(4(1(5(2(2(4(3(x1))))))))))))))))) 70.31/18.69 2(5(0(5(2(1(3(1(4(5(5(0(0(2(3(0(3(2(4(3(x1)))))))))))))))))))) -> 0(2(0(0(3(1(4(2(5(2(0(5(4(4(1(1(0(4(3(x1))))))))))))))))))) 70.31/18.69 2(5(2(1(1(0(4(3(3(0(4(5(4(3(0(4(1(0(4(0(x1)))))))))))))))))))) -> 5(1(1(0(1(3(5(5(0(5(3(4(5(1(0(0(2(3(2(0(x1)))))))))))))))))))) 70.31/18.69 1(3(0(5(3(1(1(1(0(3(3(0(1(3(3(4(3(5(3(0(5(x1))))))))))))))))))))) -> 1(5(3(3(1(3(3(4(0(5(5(0(3(2(4(1(2(3(3(4(5(x1))))))))))))))))))))) 70.31/18.69 3(3(0(5(3(5(1(2(5(1(2(1(2(1(4(0(1(2(3(1(5(x1))))))))))))))))))))) -> 0(2(0(5(5(4(5(2(5(0(0(4(2(0(5(5(5(3(1(5(x1)))))))))))))))))))) 70.31/18.69 70.31/18.69 Q is empty. 70.31/18.69 70.31/18.69 ---------------------------------------- 70.31/18.69 70.31/18.69 (1) QTRS Reverse (EQUIVALENT) 70.31/18.69 We applied the QTRS Reverse Processor [REVERSE]. 70.31/18.69 ---------------------------------------- 70.31/18.69 70.31/18.69 (2) 70.31/18.69 Obligation: 70.31/18.69 Q restricted rewrite system: 70.31/18.69 The TRS R consists of the following rules: 70.31/18.69 70.31/18.69 1(1(0(x1))) -> 1(1(2(x1))) 70.31/18.69 0(4(3(x1))) -> 5(5(4(x1))) 70.31/18.69 0(4(1(2(2(x1))))) -> 5(3(1(2(2(x1))))) 70.31/18.69 4(0(0(1(3(5(4(x1))))))) -> 4(5(4(1(0(5(4(x1))))))) 70.31/18.69 0(4(4(1(2(3(3(1(x1)))))))) -> 2(0(4(4(0(3(1(1(x1)))))))) 70.31/18.69 4(2(2(2(0(5(1(2(2(x1))))))))) -> 0(5(5(4(0(0(2(x1))))))) 70.31/18.69 4(2(5(3(0(2(0(3(2(0(x1)))))))))) -> 0(4(5(4(4(5(4(0(2(x1))))))))) 70.31/18.69 0(2(2(5(5(3(1(3(2(3(x1)))))))))) -> 0(2(2(2(0(0(0(0(4(x1))))))))) 70.31/18.69 0(5(0(5(0(0(1(1(4(3(x1)))))))))) -> 5(4(0(3(1(1(0(1(0(3(x1)))))))))) 70.31/18.69 1(0(5(1(5(0(0(3(1(4(x1)))))))))) -> 1(0(3(0(3(2(2(4(0(4(x1)))))))))) 70.31/18.69 0(5(5(5(4(1(0(2(0(3(3(x1))))))))))) -> 5(5(3(2(0(4(4(5(3(2(1(x1))))))))))) 70.31/18.69 4(5(3(4(5(2(1(2(0(2(0(3(x1)))))))))))) -> 4(5(1(5(4(5(0(3(0(2(2(3(x1)))))))))))) 70.31/18.69 1(1(5(0(0(0(3(5(4(5(0(3(x1)))))))))))) -> 3(1(1(2(0(3(0(4(1(4(2(3(x1)))))))))))) 70.31/18.69 1(2(1(3(1(1(1(4(4(0(3(3(x1)))))))))))) -> 1(0(0(4(4(1(0(3(5(3(3(x1))))))))))) 70.31/18.69 4(2(5(4(1(3(1(4(1(1(2(0(2(3(x1)))))))))))))) -> 0(0(5(0(0(1(4(5(4(4(2(2(0(x1))))))))))))) 70.31/18.69 3(4(5(0(3(3(3(2(5(0(3(3(1(4(x1)))))))))))))) -> 3(5(0(3(1(5(1(1(3(0(2(2(4(4(x1)))))))))))))) 70.31/18.69 3(5(3(2(0(1(1(4(0(1(1(2(0(4(3(x1))))))))))))))) -> 3(1(1(4(4(0(3(0(3(0(0(5(4(2(x1)))))))))))))) 70.31/18.69 5(0(2(1(3(4(3(2(4(3(1(4(1(5(5(x1))))))))))))))) -> 0(2(1(1(0(3(0(2(1(2(1(1(5(3(1(x1))))))))))))))) 70.31/18.69 5(2(1(5(2(1(1(1(3(2(3(3(3(0(5(0(x1)))))))))))))))) -> 4(1(0(1(4(1(1(4(4(3(3(4(1(5(0(x1))))))))))))))) 70.31/18.69 0(5(4(3(5(3(2(2(4(4(0(0(5(0(4(2(x1)))))))))))))))) -> 0(4(3(2(0(5(5(0(1(1(1(0(3(1(3(2(x1)))))))))))))))) 70.31/18.69 3(1(3(1(3(3(2(4(2(1(4(0(1(4(5(3(1(3(x1)))))))))))))))))) -> 3(4(2(2(5(1(4(1(4(4(3(3(0(0(3(3(0(x1))))))))))))))))) 70.31/18.69 3(4(2(3(0(3(2(0(0(5(5(4(1(3(1(2(5(0(5(2(x1)))))))))))))))))))) -> 3(4(0(1(1(4(4(5(0(2(5(2(4(1(3(0(0(2(0(x1))))))))))))))))))) 70.31/18.69 0(4(0(1(4(0(3(4(5(4(0(3(3(4(0(1(1(2(5(2(x1)))))))))))))))))))) -> 0(2(3(2(0(0(1(5(4(3(5(0(5(5(3(1(0(1(1(5(x1)))))))))))))))))))) 70.31/18.69 5(0(3(5(3(4(3(3(1(0(3(3(0(1(1(1(3(5(0(3(1(x1))))))))))))))))))))) -> 5(4(3(3(2(1(4(2(3(0(5(5(0(4(3(3(1(3(3(5(1(x1)))))))))))))))))))))
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