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SRS_Standard 2019-03-29 03.29 pair #432294985
details
property
value
status
complete
benchmark
random-169.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.33392 seconds
cpu usage
17.3834
user time
16.7011
system time
0.682223
max virtual memory
2.0996392E7
max residence set size
1913792.0
stage attributes
key
value
starexec-result
YES
output
17.04/5.22 YES 17.04/5.22 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 17.04/5.22 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 17.04/5.22 17.04/5.22 17.04/5.22 Termination w.r.t. Q of the given QTRS could be proven: 17.04/5.22 17.04/5.22 (0) QTRS 17.04/5.22 (1) QTRS Reverse [EQUIVALENT, 0 ms] 17.04/5.22 (2) QTRS 17.04/5.22 (3) FlatCCProof [EQUIVALENT, 0 ms] 17.04/5.22 (4) QTRS 17.04/5.22 (5) RootLabelingProof [EQUIVALENT, 0 ms] 17.04/5.22 (6) QTRS 17.04/5.22 (7) DependencyPairsProof [EQUIVALENT, 31 ms] 17.04/5.22 (8) QDP 17.04/5.22 (9) QDPOrderProof [EQUIVALENT, 117 ms] 17.04/5.22 (10) QDP 17.04/5.22 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 17.04/5.22 (12) TRUE 17.04/5.22 17.04/5.22 17.04/5.22 ---------------------------------------- 17.04/5.22 17.04/5.22 (0) 17.04/5.22 Obligation: 17.04/5.22 Q restricted rewrite system: 17.04/5.22 The TRS R consists of the following rules: 17.04/5.22 17.04/5.22 b(a(a(a(x1)))) -> b(b(a(a(x1)))) 17.04/5.22 a(b(a(a(x1)))) -> b(b(b(a(x1)))) 17.04/5.22 b(b(b(a(x1)))) -> a(a(a(b(x1)))) 17.04/5.22 17.04/5.22 Q is empty. 17.04/5.22 17.04/5.22 ---------------------------------------- 17.04/5.22 17.04/5.22 (1) QTRS Reverse (EQUIVALENT) 17.04/5.22 We applied the QTRS Reverse Processor [REVERSE]. 17.04/5.22 ---------------------------------------- 17.04/5.22 17.04/5.22 (2) 17.04/5.22 Obligation: 17.04/5.22 Q restricted rewrite system: 17.04/5.22 The TRS R consists of the following rules: 17.04/5.22 17.04/5.22 a(a(a(b(x1)))) -> a(a(b(b(x1)))) 17.04/5.22 a(a(b(a(x1)))) -> a(b(b(b(x1)))) 17.04/5.22 a(b(b(b(x1)))) -> b(a(a(a(x1)))) 17.04/5.22 17.04/5.22 Q is empty. 17.04/5.22 17.04/5.22 ---------------------------------------- 17.04/5.22 17.04/5.22 (3) FlatCCProof (EQUIVALENT) 17.04/5.22 We used flat context closure [ROOTLAB] 17.04/5.22 As Q is empty the flat context closure was sound AND complete. 17.04/5.22 17.04/5.22 ---------------------------------------- 17.04/5.22 17.04/5.22 (4) 17.04/5.22 Obligation: 17.04/5.22 Q restricted rewrite system: 17.04/5.22 The TRS R consists of the following rules: 17.04/5.22 17.04/5.22 a(a(a(b(x1)))) -> a(a(b(b(x1)))) 17.04/5.22 a(a(b(a(x1)))) -> a(b(b(b(x1)))) 17.04/5.22 a(a(b(b(b(x1))))) -> a(b(a(a(a(x1))))) 17.04/5.22 b(a(b(b(b(x1))))) -> b(b(a(a(a(x1))))) 17.04/5.22 17.04/5.22 Q is empty. 17.04/5.22 17.04/5.22 ---------------------------------------- 17.04/5.22 17.04/5.22 (5) RootLabelingProof (EQUIVALENT) 17.04/5.22 We used plain root labeling [ROOTLAB] with the following heuristic: 17.04/5.22 LabelAll: All function symbols get labeled 17.04/5.22 17.04/5.22 As Q is empty the root labeling was sound AND complete. 17.04/5.22 17.04/5.22 ---------------------------------------- 17.04/5.22 17.04/5.22 (6) 17.04/5.22 Obligation: 17.04/5.22 Q restricted rewrite system: 17.04/5.22 The TRS R consists of the following rules: 17.04/5.22 17.04/5.22 a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 17.04/5.22 a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) 17.04/5.22 a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) 17.04/5.22 a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) 17.04/5.22 a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) 17.04/5.22 a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) 17.04/5.22 b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) 17.04/5.22 b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) 17.04/5.22 17.04/5.22 Q is empty. 17.04/5.22 17.04/5.22 ---------------------------------------- 17.04/5.22
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