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SRS_Standard 2019-03-29 03.29 pair #432286855
details
property
value
status
complete
benchmark
26123.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n038.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.0353 seconds
cpu usage
29.113
user time
27.9451
system time
1.16786
max virtual memory
1.9628064E7
max residence set size
3320768.0
stage attributes
key
value
starexec-result
YES
output
27.35/8.05 YES 27.82/8.19 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 27.82/8.19 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.82/8.19 27.82/8.19 27.82/8.19 Termination w.r.t. Q of the given QTRS could be proven: 27.82/8.19 27.82/8.19 (0) QTRS 27.82/8.19 (1) QTRS Reverse [EQUIVALENT, 0 ms] 27.82/8.19 (2) QTRS 27.82/8.19 (3) QTRSRoofMatchBoundsTAProof [EQUIVALENT, 1624 ms] 27.82/8.19 (4) YES 27.82/8.19 27.82/8.19 27.82/8.19 ---------------------------------------- 27.82/8.19 27.82/8.19 (0) 27.82/8.19 Obligation: 27.82/8.19 Q restricted rewrite system: 27.82/8.19 The TRS R consists of the following rules: 27.82/8.19 27.82/8.19 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1)))))))))) 27.82/8.19 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1))))))))))))) 27.82/8.19 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))) 27.82/8.19 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))))))))))))))))))) 27.82/8.19 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)))))))))))))))))))))) 27.82/8.19 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))))))))))))))))))))))))) 27.82/8.19 27.82/8.19 Q is empty. 27.82/8.19 27.82/8.19 ---------------------------------------- 27.82/8.19 27.82/8.19 (1) QTRS Reverse (EQUIVALENT) 27.82/8.19 We applied the QTRS Reverse Processor [REVERSE]. 27.82/8.19 ---------------------------------------- 27.82/8.19 27.82/8.19 (2) 27.82/8.19 Obligation: 27.82/8.19 Q restricted rewrite system: 27.82/8.19 The TRS R consists of the following rules: 27.82/8.19 27.82/8.19 1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1)))))))))) 27.82/8.19 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))) 27.82/8.19 1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))) 27.82/8.19 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))))))))))))))))))) 27.82/8.19 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)))))))))))))))))))))) 27.82/8.19 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))))))))))))))))))))))))) 27.82/8.19 27.82/8.19 Q is empty. 27.82/8.19 27.82/8.19 ---------------------------------------- 27.82/8.19 27.82/8.19 (3) QTRSRoofMatchBoundsTAProof (EQUIVALENT) 27.82/8.19 The TRS R could be shown to be Match-Bounded [TAB_LEFTLINEAR,TAB_NONLEFTLINEAR] by 3. Therefore it terminates. 27.82/8.19 27.82/8.19 The compatible tree automaton used to show the Match-Boundedness is represented by: 27.82/8.19 final states : [0, 1, 2] 27.82/8.19 transitions: 27.82/8.19 10(0) -> 0 27.82/8.19 10(1) -> 0 27.82/8.19 10(2) -> 0 27.82/8.19 20(0) -> 1 27.82/8.19 20(1) -> 1 27.82/8.19 20(2) -> 1 27.82/8.19 00(0) -> 2 27.82/8.19 00(1) -> 2 27.82/8.19 00(2) -> 2 27.82/8.19 11(0) -> 10 27.82/8.19 21(10) -> 9 27.82/8.19 11(9) -> 8 27.82/8.19 11(8) -> 7 27.82/8.19 01(7) -> 6 27.82/8.19 11(6) -> 3 27.82/8.19 21(3) -> 5 27.82/8.19 01(5) -> 4 27.82/8.19 11(4) -> 3 27.82/8.19 21(3) -> 0 27.82/8.19 11(1) -> 10 27.82/8.19 11(2) -> 10 27.82/8.19 11(7) -> 10 27.82/8.19 11(5) -> 10 27.82/8.19 12(7) -> 18 27.82/8.19 22(18) -> 17 27.82/8.19 12(17) -> 16 27.82/8.19 12(16) -> 15 27.82/8.19 02(15) -> 14 27.82/8.19 12(14) -> 11 27.82/8.19 22(11) -> 13 27.82/8.19 02(13) -> 12 27.82/8.19 12(12) -> 11 27.82/8.19 22(11) -> 10 27.82/8.19 12(5) -> 18 27.82/8.19 12(15) -> 18 27.82/8.19 13(15) -> 26 27.82/8.19 23(26) -> 25 27.82/8.19 13(25) -> 24 27.82/8.19 13(24) -> 23 27.82/8.19 03(23) -> 22 27.82/8.19 13(22) -> 19 27.82/8.19 23(19) -> 21
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