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SRS Standard pair #487088518
details
property
value
status
complete
benchmark
247906.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
19.1771 seconds
cpu usage
72.1969
user time
68.824
system time
3.37298
max virtual memory
1.9366016E7
max residence set size
7814672.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) QTRS (3) RootLabelingProof [EQUIVALENT, 72 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 3271 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 25 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 0 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 2 ms] (12) QTRS (13) RisEmptyProof [EQUIVALENT, 0 ms] (14) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(x1) -> 1(x1) 0(0(x1)) -> 0(x1) 3(4(5(x1))) -> 4(3(5(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(1(0(1(1(0(1(1(1(1(1(1(1(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(0(0(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(1(1(1(0(1(1(0(0(1(0(1(1(0(0(1(1(0(0(1(0(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(1(0(0(0(1(0(1(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(0(0(0(1(0(0(1(0(0(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(1(1(1(1(1(0(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(1(1(0(1(0(1(0(0(1(1(0(0(1(0(1(1(0(0(0(1(0(0(0(0(1(1(1(0(0(0(0(0(1(1(1(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(1(1(0(1(0(1(0(0(1(0(0(0(0(0(1(0(1(0(0(1(1(1(1(1(0(0(1(1(1(1(1(0(0(0(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(0(1(1(1(1(1(1(0(1(1(0(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(0(0(0(1(1(1(1(1(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(0(0(0(1(0(1(0(0(0(0(0(1(0(0(1(1(1(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Q is empty. ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] As Q is empty the flat context closure was sound AND complete. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(0(x1)) -> 0(x1) 0(0(x1)) -> 0(1(x1)) 1(0(x1)) -> 1(1(x1)) 3(0(x1)) -> 3(1(x1)) 4(0(x1)) -> 4(1(x1)) 5(0(x1)) -> 5(1(x1)) 2(0(x1)) -> 2(1(x1)) 0(3(4(5(x1)))) -> 0(4(3(5(x1)))) 1(3(4(5(x1)))) -> 1(4(3(5(x1)))) 3(3(4(5(x1)))) -> 3(4(3(5(x1)))) 4(3(4(5(x1)))) -> 4(4(3(5(x1)))) 5(3(4(5(x1)))) -> 5(4(3(5(x1)))) 2(3(4(5(x1)))) -> 2(4(3(5(x1)))) 0(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(0(1(0(1(1(0(1(1(1(1(1(1(1(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(0(0(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(1(1(1(0(1(1(0(0(1(0(1(1(0(0(1(1(0(0(1(0(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(1(0(0(0(1(0(1(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(0(0(0(1(0(0(1(0(0(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 1(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(1(0(1(1(0(1(1(1(1(1(1(1(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(0(0(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(1(1(1(0(1(1(0(0(1(0(1(1(0(0(1(1(0(0(1(0(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(1(0(0(0(1(0(1(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(0(0(0(1(0(0(1(0(0(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 3(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(0(0(1(0(1(1(0(1(1(1(1(1(1(1(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(0(0(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(1(1(1(0(1(1(0(0(1(0(1(1(0(0(1(1(0(0(1(0(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(1(0(0(0(1(0(1(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(0(0(0(1(0(0(1(0(0(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 4(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 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5(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 2(1(1(1(1(1(1(0(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(1(1(0(1(0(1(0(0(1(1(0(0(1(0(1(1(0(0(0(1(0(0(0(0(1(1(1(0(0(0(0(0(1(1(1(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(1(1(0(1(0(1(0(0(1(0(0(0(0(0(1(0(1(0(0(1(1(1(1(1(0(0(1(1(1(1(1(0(0(0(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(0(1(1(1(1(1(1(0(1(1(0(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(0(0(0(1(1(1(1(1(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(0(0(0(1(0(1(0(0(0(0(0(1(0(0(1(1(1(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) Q is empty. ---------------------------------------- (3) RootLabelingProof (EQUIVALENT) We used plain root labeling [ROOTLAB] with the following heuristic: LabelAll: All function symbols get labeled As Q is empty the root labeling was sound AND complete. ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0_{0_1}(0_{0_1}(x1)) -> 0_{0_1}(x1) 0_{0_1}(0_{1_1}(x1)) -> 0_{1_1}(x1) 0_{0_1}(0_{3_1}(x1)) -> 0_{3_1}(x1) 0_{0_1}(0_{4_1}(x1)) -> 0_{4_1}(x1) 0_{0_1}(0_{5_1}(x1)) -> 0_{5_1}(x1)
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