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SRS Standard pair #487086754
details
property
value
status
complete
benchmark
88208.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.66912 seconds
cpu usage
35.0731
user time
33.6106
system time
1.46251
max virtual memory
1.8886636E7
max residence set size
4301872.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) QTRS (3) RootLabelingProof [EQUIVALENT, 36 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 1140 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 68 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 60 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 29 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 29 ms] (14) QTRS (15) QTRSRRRProof [EQUIVALENT, 21 ms] (16) QTRS (17) QTRSRRRProof [EQUIVALENT, 2 ms] (18) QTRS (19) QTRSRRRProof [EQUIVALENT, 1 ms] (20) QTRS (21) RisEmptyProof [EQUIVALENT, 0 ms] (22) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(0(0(1(0(2(2(3(3(2(3(3(0(x1))))))))))))) -> 3(3(1(1(3(3(3(1(3(1(3(2(1(0(3(3(1(x1))))))))))))))))) 0(0(2(2(1(0(2(3(1(3(1(1(0(x1))))))))))))) -> 1(0(1(0(2(1(3(3(3(3(2(3(2(3(1(1(0(x1))))))))))))))))) 0(1(1(0(2(1(0(1(3(0(1(3(3(x1))))))))))))) -> 0(3(3(3(0(2(3(3(0(3(3(2(1(3(3(1(3(x1))))))))))))))))) 0(1(1(1(3(3(0(3(2(3(3(1(2(x1))))))))))))) -> 3(3(1(1(0(2(1(2(3(0(3(3(3(2(3(0(2(x1))))))))))))))))) 0(1(1(3(0(1(1(1(1(3(1(3(1(x1))))))))))))) -> 2(3(1(1(0(3(3(1(3(2(1(3(3(1(2(1(3(x1))))))))))))))))) 0(1(2(3(2(2(2(1(2(3(0(0(0(x1))))))))))))) -> 1(1(3(3(0(3(3(1(2(3(1(3(3(0(0(1(1(x1))))))))))))))))) 0(2(3(0(0(0(0(2(3(1(0(3(1(x1))))))))))))) -> 1(1(2(2(1(2(3(0(2(1(3(1(2(3(3(2(1(x1))))))))))))))))) 0(2(3(3(0(0(2(2(3(0(3(1(3(x1))))))))))))) -> 3(1(3(3(2(1(0(0(1(0(3(3(3(1(3(2(1(x1))))))))))))))))) 0(3(3(0(3(0(3(0(3(3(3(0(0(x1))))))))))))) -> 1(1(0(3(3(1(1(2(3(2(3(3(3(0(2(1(1(x1))))))))))))))))) 1(0(1(3(2(2(2(1(2(1(3(3(2(x1))))))))))))) -> 3(3(1(0(0(2(3(3(3(2(3(1(3(1(3(1(1(x1))))))))))))))))) 1(1(0(3(2(0(1(0(3(3(2(0(2(x1))))))))))))) -> 1(3(0(0(3(2(1(1(2(3(3(2(1(1(1(1(2(x1))))))))))))))))) 1(2(0(1(0(3(1(3(0(2(1(2(3(x1))))))))))))) -> 1(3(1(3(1(0(1(0(0(3(3(3(1(3(2(3(3(x1))))))))))))))))) 1(2(1(0(1(1(2(3(2(1(1(0(0(x1))))))))))))) -> 3(1(3(3(3(3(3(1(1(2(3(2(1(0(1(0(1(x1))))))))))))))))) 1(2(2(1(1(2(0(3(3(3(0(3(2(x1))))))))))))) -> 1(3(1(3(3(3(3(1(3(2(1(3(3(2(2(3(2(x1))))))))))))))))) 1(2(2(3(3(3(3(3(0(0(3(2(2(x1))))))))))))) -> 1(3(3(3(3(1(1(2(3(1(1(3(1(0(0(1(0(x1))))))))))))))))) 2(0(1(1(2(1(0(3(2(1(3(1(3(x1))))))))))))) -> 0(3(3(0(2(2(1(3(1(2(3(1(3(1(3(3(3(x1))))))))))))))))) 2(0(2(0(2(1(3(0(0(0(2(3(0(x1))))))))))))) -> 2(3(1(2(3(3(2(2(0(3(1(1(3(3(3(2(0(x1))))))))))))))))) 2(0(2(2(1(3(1(3(0(1(3(2(1(x1))))))))))))) -> 2(0(1(3(3(1(3(3(2(3(0(2(1(1(0(2(1(x1))))))))))))))))) 2(1(3(0(2(3(2(2(1(2(3(2(3(x1))))))))))))) -> 2(1(1(1(2(1(2(1(3(1(3(1(1(0(3(3(3(x1))))))))))))))))) 2(3(1(0(3(3(3(0(0(3(0(0(3(x1))))))))))))) -> 1(1(2(2(3(3(3(3(1(3(3(1(2(3(3(3(1(x1))))))))))))))))) 3(0(1(2(2(0(3(1(0(1(2(0(1(x1))))))))))))) -> 3(3(2(2(3(1(0(2(3(3(1(2(1(0(1(1(1(x1))))))))))))))))) 3(0(2(2(1(0(0(3(1(2(1(1(1(x1))))))))))))) -> 3(2(3(1(3(1(2(3(1(0(0(2(3(1(2(3(1(x1))))))))))))))))) 3(0(2(2(1(3(3(1(1(0(1(0(2(x1))))))))))))) -> 3(2(1(1(1(3(3(1(3(1(3(1(1(2(1(3(3(x1))))))))))))))))) 3(0(3(2(1(3(2(3(2(3(2(3(2(x1))))))))))))) -> 3(2(3(3(0(0(3(1(1(2(3(1(1(1(3(1(2(x1))))))))))))))))) 3(0(3(3(1(2(3(0(0(2(2(0(1(x1))))))))))))) -> 3(3(1(2(0(1(1(0(3(3(3(0(2(3(3(1(0(x1))))))))))))))))) 3(1(1(3(3(2(0(3(3(1(1(0(1(x1))))))))))))) -> 3(1(1(3(3(3(1(0(2(3(1(1(3(1(3(3(3(x1))))))))))))))))) 3(2(0(3(3(1(3(2(0(2(0(0(1(x1))))))))))))) -> 3(3(3(3(1(0(2(3(2(1(3(1(3(3(2(1(3(x1))))))))))))))))) 3(2(1(2(0(3(2(3(2(3(0(2(3(x1))))))))))))) -> 3(3(3(1(3(2(1(0(0(2(0(0(3(0(3(3(3(x1))))))))))))))))) 3(2(2(2(0(0(2(3(2(3(1(1(1(x1))))))))))))) -> 3(2(3(3(3(1(1(3(2(1(2(2(3(2(2(3(1(x1))))))))))))))))) 3(3(2(0(0(0(0(3(1(1(0(0(2(x1))))))))))))) -> 3(1(2(3(3(2(1(1(1(1(2(1(2(1(0(3(1(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(1(1(0(2(1(0(1(3(0(1(3(3(x1))))))))))))) -> 0(3(3(3(0(2(3(3(0(3(3(2(1(3(3(1(3(x1))))))))))))))))) 1(1(0(3(2(0(1(0(3(3(2(0(2(x1))))))))))))) -> 1(3(0(0(3(2(1(1(2(3(3(2(1(1(1(1(2(x1))))))))))))))))) 1(2(0(1(0(3(1(3(0(2(1(2(3(x1))))))))))))) -> 1(3(1(3(1(0(1(0(0(3(3(3(1(3(2(3(3(x1))))))))))))))))) 1(2(2(1(1(2(0(3(3(3(0(3(2(x1))))))))))))) -> 1(3(1(3(3(3(3(1(3(2(1(3(3(2(2(3(2(x1))))))))))))))))) 1(2(2(3(3(3(3(3(0(0(3(2(2(x1))))))))))))) -> 1(3(3(3(3(1(1(2(3(1(1(3(1(0(0(1(0(x1))))))))))))))))) 2(0(2(0(2(1(3(0(0(0(2(3(0(x1))))))))))))) -> 2(3(1(2(3(3(2(2(0(3(1(1(3(3(3(2(0(x1))))))))))))))))) 2(0(2(2(1(3(1(3(0(1(3(2(1(x1))))))))))))) -> 2(0(1(3(3(1(3(3(2(3(0(2(1(1(0(2(1(x1))))))))))))))))) 2(1(3(0(2(3(2(2(1(2(3(2(3(x1))))))))))))) -> 2(1(1(1(2(1(2(1(3(1(3(1(1(0(3(3(3(x1))))))))))))))))) 3(0(1(2(2(0(3(1(0(1(2(0(1(x1))))))))))))) -> 3(3(2(2(3(1(0(2(3(3(1(2(1(0(1(1(1(x1))))))))))))))))) 3(0(2(2(1(0(0(3(1(2(1(1(1(x1))))))))))))) -> 3(2(3(1(3(1(2(3(1(0(0(2(3(1(2(3(1(x1))))))))))))))))) 3(0(2(2(1(3(3(1(1(0(1(0(2(x1))))))))))))) -> 3(2(1(1(1(3(3(1(3(1(3(1(1(2(1(3(3(x1))))))))))))))))) 3(0(3(2(1(3(2(3(2(3(2(3(2(x1))))))))))))) -> 3(2(3(3(0(0(3(1(1(2(3(1(1(1(3(1(2(x1))))))))))))))))) 3(0(3(3(1(2(3(0(0(2(2(0(1(x1))))))))))))) -> 3(3(1(2(0(1(1(0(3(3(3(0(2(3(3(1(0(x1))))))))))))))))) 3(1(1(3(3(2(0(3(3(1(1(0(1(x1))))))))))))) -> 3(1(1(3(3(3(1(0(2(3(1(1(3(1(3(3(3(x1))))))))))))))))) 3(2(0(3(3(1(3(2(0(2(0(0(1(x1))))))))))))) -> 3(3(3(3(1(0(2(3(2(1(3(1(3(3(2(1(3(x1)))))))))))))))))
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