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SRS_Standard 2019-03-29 03.29 pair #432287443
details
property
value
status
complete
benchmark
26186.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n009.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.79855 seconds
cpu usage
11.7869
user time
11.1238
system time
0.663063
max virtual memory
3.7245384E7
max residence set size
2165772.0
stage attributes
key
value
starexec-result
YES
output
11.04/3.60 YES 11.40/3.71 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 11.40/3.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.40/3.71 11.40/3.71 11.40/3.71 Termination w.r.t. Q of the given QTRS could be proven: 11.40/3.71 11.40/3.71 (0) QTRS 11.40/3.71 (1) QTRS Reverse [EQUIVALENT, 0 ms] 11.40/3.71 (2) QTRS 11.40/3.71 (3) QTRSRoofMatchBoundsTAProof [EQUIVALENT, 1065 ms] 11.40/3.71 (4) YES 11.40/3.71 11.40/3.71 11.40/3.71 ---------------------------------------- 11.40/3.71 11.40/3.71 (0) 11.40/3.71 Obligation: 11.40/3.71 Q restricted rewrite system: 11.40/3.71 The TRS R consists of the following rules: 11.40/3.71 11.40/3.71 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1)))))))))) 11.40/3.71 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1))))))))))))) 11.40/3.71 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))) 11.40/3.71 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))))))))))))))))))) 11.40/3.71 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)))))))))))))))))))))) 11.40/3.71 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))))))))))))))))))))))))) 11.40/3.71 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)))))))))))))))))))))))))))) 11.40/3.71 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))))))))))))))))))))))))))))))) 11.40/3.71 11.40/3.71 Q is empty. 11.40/3.71 11.40/3.71 ---------------------------------------- 11.40/3.71 11.40/3.71 (1) QTRS Reverse (EQUIVALENT) 11.40/3.71 We applied the QTRS Reverse Processor [REVERSE]. 11.40/3.71 ---------------------------------------- 11.40/3.71 11.40/3.71 (2) 11.40/3.71 Obligation: 11.40/3.71 Q restricted rewrite system: 11.40/3.71 The TRS R consists of the following rules: 11.40/3.71 11.40/3.71 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 11.40/3.71 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 11.40/3.71 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 11.40/3.71 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))))))))))))))))))) 11.40/3.71 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)))))))))))))))))))))) 11.40/3.71 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))))))))))))))))))))))))) 11.40/3.71 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)))))))))))))))))))))))))))) 11.40/3.71 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))))))))))))))))))))))))))))))) 11.40/3.71 11.40/3.71 Q is empty. 11.40/3.71 11.40/3.71 ---------------------------------------- 11.40/3.71 11.40/3.71 (3) QTRSRoofMatchBoundsTAProof (EQUIVALENT) 11.40/3.71 The TRS R could be shown to be Match-Bounded [TAB_LEFTLINEAR,TAB_NONLEFTLINEAR] by 3. Therefore it terminates. 11.40/3.71 11.40/3.71 The compatible tree automaton used to show the Match-Boundedness is represented by: 11.40/3.71 final states : [0, 1, 2] 11.40/3.71 transitions: 11.40/3.71 10(0) -> 0 11.40/3.71 10(1) -> 0 11.40/3.71 10(2) -> 0 11.40/3.71 20(0) -> 1 11.40/3.71 20(1) -> 1 11.40/3.71 20(2) -> 1 11.40/3.71 00(0) -> 2 11.40/3.71 00(1) -> 2 11.40/3.71 00(2) -> 2 11.40/3.71 11(0) -> 10 11.40/3.71 21(10) -> 9 11.40/3.71 11(9) -> 8 11.40/3.71 11(8) -> 7 11.40/3.71 01(7) -> 6 11.40/3.71 11(6) -> 3 11.40/3.71 21(3) -> 5 11.40/3.71 01(5) -> 4 11.40/3.71 11(4) -> 3 11.40/3.71 21(3) -> 0 11.40/3.71 11(1) -> 10 11.40/3.71 11(2) -> 10 11.40/3.71 11(7) -> 10 11.40/3.71 11(5) -> 10 11.40/3.71 12(7) -> 18 11.40/3.71 22(18) -> 17 11.40/3.71 12(17) -> 16 11.40/3.71 12(16) -> 15 11.40/3.71 02(15) -> 14 11.40/3.71 12(14) -> 11 11.40/3.71 22(11) -> 13 11.40/3.71 02(13) -> 12 11.40/3.71 12(12) -> 11 11.40/3.71 22(11) -> 10 11.40/3.71 12(5) -> 18 11.40/3.71 12(15) -> 18 11.40/3.71 13(15) -> 26 11.40/3.71 23(26) -> 25 11.40/3.71 13(25) -> 24
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