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SRS_Standard 2019-03-29 03.29 pair #432289393
details
property
value
status
complete
benchmark
04.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n003.star.cs.uiowa.edu
space
Bouchare_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.63324 seconds
cpu usage
6.97572
user time
6.56901
system time
0.406706
max virtual memory
1.9674852E7
max residence set size
1104768.0
stage attributes
key
value
starexec-result
YES
output
6.71/2.54 YES 6.71/2.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 6.71/2.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.71/2.57 6.71/2.57 6.71/2.57 Termination w.r.t. Q of the given QTRS could be proven: 6.71/2.57 6.71/2.57 (0) QTRS 6.71/2.57 (1) QTRS Reverse [EQUIVALENT, 0 ms] 6.71/2.57 (2) QTRS 6.71/2.57 (3) FlatCCProof [EQUIVALENT, 0 ms] 6.71/2.57 (4) QTRS 6.71/2.57 (5) RootLabelingProof [EQUIVALENT, 0 ms] 6.71/2.57 (6) QTRS 6.71/2.57 (7) QTRSRRRProof [EQUIVALENT, 3 ms] 6.71/2.57 (8) QTRS 6.71/2.57 (9) QTRSRRRProof [EQUIVALENT, 2 ms] 6.71/2.57 (10) QTRS 6.71/2.57 (11) RisEmptyProof [EQUIVALENT, 0 ms] 6.71/2.57 (12) YES 6.71/2.57 6.71/2.57 6.71/2.57 ---------------------------------------- 6.71/2.57 6.71/2.57 (0) 6.71/2.57 Obligation: 6.71/2.57 Q restricted rewrite system: 6.71/2.57 The TRS R consists of the following rules: 6.71/2.57 6.71/2.57 b(b(b(x1))) -> a(b(x1)) 6.71/2.57 a(a(x1)) -> a(b(a(x1))) 6.71/2.57 a(a(a(x1))) -> a(b(b(x1))) 6.71/2.57 6.71/2.57 Q is empty. 6.71/2.57 6.71/2.57 ---------------------------------------- 6.71/2.57 6.71/2.57 (1) QTRS Reverse (EQUIVALENT) 6.71/2.57 We applied the QTRS Reverse Processor [REVERSE]. 6.71/2.57 ---------------------------------------- 6.71/2.57 6.71/2.57 (2) 6.71/2.57 Obligation: 6.71/2.57 Q restricted rewrite system: 6.71/2.57 The TRS R consists of the following rules: 6.71/2.57 6.71/2.57 b(b(b(x1))) -> b(a(x1)) 6.71/2.57 a(a(x1)) -> a(b(a(x1))) 6.71/2.57 a(a(a(x1))) -> b(b(a(x1))) 6.71/2.57 6.71/2.57 Q is empty. 6.71/2.57 6.71/2.57 ---------------------------------------- 6.71/2.57 6.71/2.57 (3) FlatCCProof (EQUIVALENT) 6.71/2.57 We used flat context closure [ROOTLAB] 6.71/2.57 As Q is empty the flat context closure was sound AND complete. 6.71/2.57 6.71/2.57 ---------------------------------------- 6.71/2.57 6.71/2.57 (4) 6.71/2.57 Obligation: 6.71/2.57 Q restricted rewrite system: 6.71/2.57 The TRS R consists of the following rules: 6.71/2.57 6.71/2.57 b(b(b(x1))) -> b(a(x1)) 6.71/2.57 a(a(x1)) -> a(b(a(x1))) 6.71/2.57 b(a(a(a(x1)))) -> b(b(b(a(x1)))) 6.71/2.57 a(a(a(a(x1)))) -> a(b(b(a(x1)))) 6.71/2.57 6.71/2.57 Q is empty. 6.71/2.57 6.71/2.57 ---------------------------------------- 6.71/2.57 6.71/2.57 (5) RootLabelingProof (EQUIVALENT) 6.71/2.57 We used plain root labeling [ROOTLAB] with the following heuristic: 6.71/2.57 LabelAll: All function symbols get labeled 6.71/2.57 6.71/2.57 As Q is empty the root labeling was sound AND complete. 6.71/2.57 6.71/2.57 ---------------------------------------- 6.71/2.57 6.71/2.57 (6) 6.71/2.57 Obligation: 6.71/2.57 Q restricted rewrite system: 6.71/2.57 The TRS R consists of the following rules: 6.71/2.57 6.71/2.57 b_{b_1}(b_{b_1}(b_{b_1}(x1))) -> b_{a_1}(a_{b_1}(x1)) 6.71/2.57 b_{b_1}(b_{b_1}(b_{a_1}(x1))) -> b_{a_1}(a_{a_1}(x1)) 6.71/2.57 a_{a_1}(a_{b_1}(x1)) -> a_{b_1}(b_{a_1}(a_{b_1}(x1))) 6.71/2.57 a_{a_1}(a_{a_1}(x1)) -> a_{b_1}(b_{a_1}(a_{a_1}(x1))) 6.71/2.57 b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) 6.71/2.57 b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) 6.71/2.57 a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) 6.71/2.57 a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) 6.71/2.57 6.71/2.57 Q is empty. 6.71/2.57 6.71/2.57 ---------------------------------------- 6.71/2.57
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