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SRS_Standard 2019-03-29 03.29 pair #432285745
details
property
value
status
complete
benchmark
27213.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
13.5687 seconds
cpu usage
49.1864
user time
46.7869
system time
2.3995
max virtual memory
3.843936E7
max residence set size
5357548.0
stage attributes
key
value
starexec-result
YES
output
45.65/12.70 YES 48.78/13.47 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 48.78/13.47 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 48.78/13.47 48.78/13.47 48.78/13.47 Termination w.r.t. Q of the given QTRS could be proven: 48.78/13.47 48.78/13.47 (0) QTRS 48.78/13.47 (1) QTRS Reverse [EQUIVALENT, 0 ms] 48.78/13.47 (2) QTRS 48.78/13.47 (3) QTRSRoofMatchBoundsTAProof [EQUIVALENT, 1984 ms] 48.78/13.47 (4) YES 48.78/13.47 48.78/13.47 48.78/13.47 ---------------------------------------- 48.78/13.47 48.78/13.47 (0) 48.78/13.47 Obligation: 48.78/13.47 Q restricted rewrite system: 48.78/13.47 The TRS R consists of the following rules: 48.78/13.47 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1)))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) 48.78/13.47 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 48.78/13.48 48.78/13.48 Q is empty. 48.78/13.48 48.78/13.48 ---------------------------------------- 48.78/13.48 48.78/13.48 (1) QTRS Reverse (EQUIVALENT) 48.78/13.48 We applied the QTRS Reverse Processor [REVERSE]. 48.78/13.48 ---------------------------------------- 48.78/13.48 48.78/13.48 (2) 48.78/13.48 Obligation: 48.78/13.48 Q restricted rewrite system: 48.78/13.48 The TRS R consists of the following rules: 48.78/13.48 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) 48.78/13.48 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))) 48.78/13.48 48.78/13.48 Q is empty. 48.78/13.48 48.78/13.48 ---------------------------------------- 48.78/13.48 48.78/13.48 (3) QTRSRoofMatchBoundsTAProof (EQUIVALENT) 48.78/13.48 The TRS R could be shown to be Match-Bounded [TAB_LEFTLINEAR,TAB_NONLEFTLINEAR] by 3. Therefore it terminates. 48.78/13.48 48.78/13.48 The compatible tree automaton used to show the Match-Boundedness is represented by: 48.78/13.48 final states : [0, 1, 2] 48.78/13.48 transitions: 48.78/13.48 10(0) -> 0 48.78/13.48 10(1) -> 0 48.78/13.48 10(2) -> 0 48.78/13.48 20(0) -> 1 48.78/13.48 20(1) -> 1 48.78/13.48 20(2) -> 1 48.78/13.48 00(0) -> 2 48.78/13.48 00(1) -> 2 48.78/13.48 00(2) -> 2 48.78/13.48 11(0) -> 10 48.78/13.48 21(10) -> 9 48.78/13.48 11(9) -> 8 48.78/13.48 11(8) -> 7 48.78/13.48 01(7) -> 6 48.78/13.48 11(6) -> 3 48.78/13.48 21(3) -> 5 48.78/13.48 01(5) -> 4 48.78/13.48 11(4) -> 3 48.78/13.48 21(3) -> 0 48.78/13.48 11(1) -> 10 48.78/13.48 11(2) -> 10 48.78/13.48 11(7) -> 10 48.78/13.48 11(5) -> 10 48.78/13.48 12(7) -> 18
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