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SRS_Standard 2019-03-29 03.29 pair #432287533
details
property
value
status
complete
benchmark
68989.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n066.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.97893 seconds
cpu usage
25.0126
user time
24.2901
system time
0.722482
max virtual memory
1.19898816E8
max residence set size
2377860.0
stage attributes
key
value
starexec-result
YES
output
22.46/6.51 YES 23.08/6.69 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 23.08/6.69 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 23.08/6.69 23.08/6.69 23.08/6.69 Termination w.r.t. Q of the given QTRS could be proven: 23.08/6.69 23.08/6.69 (0) QTRS 23.08/6.69 (1) QTRS Reverse [EQUIVALENT, 0 ms] 23.08/6.69 (2) QTRS 23.08/6.69 (3) QTRSRRRProof [EQUIVALENT, 93 ms] 23.08/6.69 (4) QTRS 23.08/6.69 (5) Overlay + Local Confluence [EQUIVALENT, 36 ms] 23.08/6.69 (6) QTRS 23.08/6.69 (7) DependencyPairsProof [EQUIVALENT, 56 ms] 23.08/6.69 (8) QDP 23.08/6.69 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 23.08/6.69 (10) QDP 23.08/6.69 (11) UsableRulesProof [EQUIVALENT, 0 ms] 23.08/6.69 (12) QDP 23.08/6.69 (13) QReductionProof [EQUIVALENT, 0 ms] 23.08/6.69 (14) QDP 23.08/6.69 (15) QDPSizeChangeProof [EQUIVALENT, 0 ms] 23.08/6.69 (16) YES 23.08/6.69 23.08/6.69 23.08/6.69 ---------------------------------------- 23.08/6.69 23.08/6.69 (0) 23.08/6.69 Obligation: 23.08/6.69 Q restricted rewrite system: 23.08/6.69 The TRS R consists of the following rules: 23.08/6.69 23.08/6.69 0(0(1(2(1(x1))))) -> 1(0(1(1(0(x1))))) 23.08/6.69 0(3(1(2(4(x1))))) -> 0(5(1(4(x1)))) 23.08/6.69 4(3(0(1(1(x1))))) -> 5(4(5(2(x1)))) 23.08/6.69 4(3(4(2(2(x1))))) -> 0(5(0(2(x1)))) 23.08/6.69 2(1(1(4(0(2(x1)))))) -> 1(1(5(3(5(x1))))) 23.08/6.69 2(2(4(1(3(4(2(x1))))))) -> 2(3(2(4(3(5(x1)))))) 23.08/6.69 4(0(5(4(2(4(0(x1))))))) -> 0(1(2(2(2(2(0(x1))))))) 23.08/6.69 4(2(4(2(5(1(0(1(5(x1))))))))) -> 5(0(3(1(0(2(2(5(x1)))))))) 23.08/6.69 5(2(4(5(0(3(0(2(3(x1))))))))) -> 5(3(2(1(0(1(3(4(0(x1))))))))) 23.08/6.69 1(4(1(3(2(3(3(1(2(1(x1)))))))))) -> 1(5(3(2(4(5(1(3(4(x1))))))))) 23.08/6.69 4(0(4(2(3(4(5(1(1(5(1(x1))))))))))) -> 5(4(3(2(2(3(2(1(2(4(0(x1))))))))))) 23.08/6.69 4(5(2(2(5(4(4(3(4(5(4(x1))))))))))) -> 5(2(3(2(5(0(0(0(5(4(x1)))))))))) 23.08/6.69 4(3(4(4(0(3(0(3(2(3(2(1(x1)))))))))))) -> 5(5(5(5(5(0(2(2(4(4(2(0(x1)))))))))))) 23.08/6.69 5(3(4(4(3(3(5(2(5(2(1(1(4(2(x1)))))))))))))) -> 5(4(0(5(2(5(5(3(1(0(3(3(5(x1))))))))))))) 23.08/6.69 0(5(1(0(3(3(2(5(5(4(0(5(5(5(2(x1))))))))))))))) -> 1(0(1(3(4(5(3(3(3(2(2(3(3(5(2(x1))))))))))))))) 23.08/6.69 4(5(3(2(1(1(5(2(2(3(4(3(2(3(1(x1))))))))))))))) -> 0(1(3(5(0(1(3(4(0(3(5(4(3(1(x1)))))))))))))) 23.08/6.69 5(0(1(0(1(1(5(1(1(5(5(2(1(1(0(x1))))))))))))))) -> 5(1(5(1(1(1(3(0(3(3(3(3(1(0(x1)))))))))))))) 23.08/6.69 5(3(0(4(4(1(1(5(3(4(1(1(2(3(2(x1))))))))))))))) -> 5(4(1(4(0(2(1(2(2(5(3(5(3(4(4(x1))))))))))))))) 23.08/6.69 2(4(1(0(2(3(2(3(5(3(1(2(3(1(1(4(x1)))))))))))))))) -> 2(2(2(1(4(5(0(1(0(3(1(3(5(1(2(x1))))))))))))))) 23.08/6.70 0(1(1(3(2(2(0(0(0(5(0(2(4(3(3(0(1(x1))))))))))))))))) -> 5(4(1(1(0(5(2(0(2(3(3(3(0(5(0(1(x1)))))))))))))))) 23.08/6.70 2(1(1(5(3(1(3(4(3(5(3(3(2(4(3(1(4(x1))))))))))))))))) -> 1(0(1(0(0(2(1(3(2(2(0(3(0(5(2(4(x1)))))))))))))))) 23.08/6.70 2(4(3(5(0(2(5(5(1(5(0(4(4(4(1(4(3(x1))))))))))))))))) -> 2(0(5(2(2(0(5(4(1(3(2(4(1(4(1(1(0(x1))))))))))))))))) 23.08/6.70 0(4(5(4(5(0(2(3(1(2(4(5(3(5(0(4(3(3(2(x1))))))))))))))))))) -> 1(0(2(4(5(5(2(2(4(2(1(1(4(0(1(2(3(0(2(5(x1)))))))))))))))))))) 23.08/6.70 4(5(1(0(2(0(5(4(5(4(4(2(5(5(2(3(5(4(2(3(x1)))))))))))))))))))) -> 0(5(5(2(0(5(2(4(2(5(2(5(2(0(1(5(2(3(3(0(x1)))))))))))))))))))) 23.08/6.70 3(1(2(4(3(4(3(2(0(3(2(3(4(3(4(5(4(3(4(1(1(x1))))))))))))))))))))) -> 3(4(0(0(2(4(5(0(0(4(3(5(4(3(0(3(2(2(1(1(x1)))))))))))))))))))) 23.08/6.70 23.08/6.70 Q is empty. 23.08/6.70 23.08/6.70 ---------------------------------------- 23.08/6.70 23.08/6.70 (1) QTRS Reverse (EQUIVALENT) 23.08/6.70 We applied the QTRS Reverse Processor [REVERSE]. 23.08/6.70 ---------------------------------------- 23.08/6.70 23.08/6.70 (2) 23.08/6.70 Obligation: 23.08/6.70 Q restricted rewrite system: 23.08/6.70 The TRS R consists of the following rules: 23.08/6.70 23.08/6.70 1(2(1(0(0(x1))))) -> 0(1(1(0(1(x1))))) 23.08/6.70 4(2(1(3(0(x1))))) -> 4(1(5(0(x1)))) 23.08/6.70 1(1(0(3(4(x1))))) -> 2(5(4(5(x1)))) 23.08/6.70 2(2(4(3(4(x1))))) -> 2(0(5(0(x1)))) 23.08/6.70 2(0(4(1(1(2(x1)))))) -> 5(3(5(1(1(x1))))) 23.08/6.70 2(4(3(1(4(2(2(x1))))))) -> 5(3(4(2(3(2(x1)))))) 23.08/6.70 0(4(2(4(5(0(4(x1))))))) -> 0(2(2(2(2(1(0(x1))))))) 23.08/6.70 5(1(0(1(5(2(4(2(4(x1))))))))) -> 5(2(2(0(1(3(0(5(x1)))))))) 23.08/6.70 3(2(0(3(0(5(4(2(5(x1))))))))) -> 0(4(3(1(0(1(2(3(5(x1))))))))) 23.08/6.70 1(2(1(3(3(2(3(1(4(1(x1)))))))))) -> 4(3(1(5(4(2(3(5(1(x1))))))))) 23.08/6.70 1(5(1(1(5(4(3(2(4(0(4(x1))))))))))) -> 0(4(2(1(2(3(2(2(3(4(5(x1))))))))))) 23.08/6.70 4(5(4(3(4(4(5(2(2(5(4(x1))))))))))) -> 4(5(0(0(0(5(2(3(2(5(x1)))))))))) 23.08/6.70 1(2(3(2(3(0(3(0(4(4(3(4(x1)))))))))))) -> 0(2(4(4(2(2(0(5(5(5(5(5(x1)))))))))))) 23.08/6.70 2(4(1(1(2(5(2(5(3(3(4(4(3(5(x1)))))))))))))) -> 5(3(3(0(1(3(5(5(2(5(0(4(5(x1))))))))))))) 23.08/6.70 2(5(5(5(0(4(5(5(2(3(3(0(1(5(0(x1))))))))))))))) -> 2(5(3(3(2(2(3(3(3(5(4(3(1(0(1(x1))))))))))))))) 23.08/6.70 1(3(2(3(4(3(2(2(5(1(1(2(3(5(4(x1))))))))))))))) -> 1(3(4(5(3(0(4(3(1(0(5(3(1(0(x1)))))))))))))) 23.08/6.70 0(1(1(2(5(5(1(1(5(1(1(0(1(0(5(x1))))))))))))))) -> 0(1(3(3(3(3(0(3(1(1(1(5(1(5(x1)))))))))))))) 23.08/6.70 2(3(2(1(1(4(3(5(1(1(4(4(0(3(5(x1))))))))))))))) -> 4(4(3(5(3(5(2(2(1(2(0(4(1(4(5(x1))))))))))))))) 23.08/6.70 4(1(1(3(2(1(3(5(3(2(3(2(0(1(4(2(x1)))))))))))))))) -> 2(1(5(3(1(3(0(1(0(5(4(1(2(2(2(x1))))))))))))))) 23.08/6.70 1(0(3(3(4(2(0(5(0(0(0(2(2(3(1(1(0(x1))))))))))))))))) -> 1(0(5(0(3(3(3(2(0(2(5(0(1(1(4(5(x1)))))))))))))))) 23.08/6.70 4(1(3(4(2(3(3(5(3(4(3(1(3(5(1(1(2(x1))))))))))))))))) -> 4(2(5(0(3(0(2(2(3(1(2(0(0(1(0(1(x1)))))))))))))))) 23.08/6.70 3(4(1(4(4(4(0(5(1(5(5(2(0(5(3(4(2(x1))))))))))))))))) -> 0(1(1(4(1(4(2(3(1(4(5(0(2(2(5(0(2(x1))))))))))))))))) 23.08/6.70 2(3(3(4(0(5(3(5(4(2(1(3(2(0(5(4(5(4(0(x1))))))))))))))))))) -> 5(2(0(3(2(1(0(4(1(1(2(4(2(2(5(5(4(2(0(1(x1)))))))))))))))))))) 23.08/6.70 3(2(4(5(3(2(5(5(2(4(4(5(4(5(0(2(0(1(5(4(x1)))))))))))))))))))) -> 0(3(3(2(5(1(0(2(5(2(5(2(4(2(5(0(2(5(5(0(x1)))))))))))))))))))) 23.08/6.70 1(1(4(3(4(5(4(3(4(3(2(3(0(2(3(4(3(4(2(1(3(x1))))))))))))))))))))) -> 1(1(2(2(3(0(3(4(5(3(4(0(0(5(4(2(0(0(4(3(x1)))))))))))))))))))) 23.08/6.70 23.08/6.70 Q is empty. 23.08/6.70
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