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SRS_Standard 2019-03-29 03.29 pair #432294733
details
property
value
status
complete
benchmark
random-467.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n172.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
16.8361 seconds
cpu usage
62.3885
user time
60.1673
system time
2.22119
max virtual memory
6.2887348E7
max residence set size
4859008.0
stage attributes
key
value
starexec-result
YES
output
62.01/16.72 YES 62.18/16.76 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 62.18/16.76 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 62.18/16.76 62.18/16.76 62.18/16.76 Termination w.r.t. Q of the given QTRS could be proven: 62.18/16.76 62.18/16.76 (0) QTRS 62.18/16.76 (1) QTRS Reverse [EQUIVALENT, 0 ms] 62.18/16.76 (2) QTRS 62.18/16.76 (3) FlatCCProof [EQUIVALENT, 0 ms] 62.18/16.76 (4) QTRS 62.18/16.76 (5) RootLabelingProof [EQUIVALENT, 0 ms] 62.18/16.76 (6) QTRS 62.18/16.76 (7) DependencyPairsProof [EQUIVALENT, 31 ms] 62.18/16.76 (8) QDP 62.18/16.76 (9) QDPOrderProof [EQUIVALENT, 96 ms] 62.18/16.76 (10) QDP 62.18/16.76 (11) QDPOrderProof [EQUIVALENT, 115 ms] 62.18/16.76 (12) QDP 62.18/16.76 (13) QDPOrderProof [EQUIVALENT, 325 ms] 62.18/16.76 (14) QDP 62.18/16.76 (15) PisEmptyProof [EQUIVALENT, 0 ms] 62.18/16.76 (16) YES 62.18/16.76 62.18/16.76 62.18/16.76 ---------------------------------------- 62.18/16.76 62.18/16.76 (0) 62.18/16.76 Obligation: 62.18/16.76 Q restricted rewrite system: 62.18/16.76 The TRS R consists of the following rules: 62.18/16.76 62.18/16.76 a(b(a(a(x1)))) -> a(a(b(a(x1)))) 62.18/16.76 b(a(a(b(x1)))) -> b(b(b(b(x1)))) 62.18/16.76 b(a(a(b(x1)))) -> a(a(a(b(x1)))) 62.18/16.76 a(b(b(a(x1)))) -> b(a(a(b(x1)))) 62.18/16.76 62.18/16.76 Q is empty. 62.18/16.76 62.18/16.76 ---------------------------------------- 62.18/16.76 62.18/16.76 (1) QTRS Reverse (EQUIVALENT) 62.18/16.76 We applied the QTRS Reverse Processor [REVERSE]. 62.18/16.76 ---------------------------------------- 62.18/16.76 62.18/16.76 (2) 62.18/16.76 Obligation: 62.18/16.76 Q restricted rewrite system: 62.18/16.76 The TRS R consists of the following rules: 62.18/16.76 62.18/16.76 a(a(b(a(x1)))) -> a(b(a(a(x1)))) 62.18/16.76 b(a(a(b(x1)))) -> b(b(b(b(x1)))) 62.18/16.76 b(a(a(b(x1)))) -> b(a(a(a(x1)))) 62.18/16.76 a(b(b(a(x1)))) -> b(a(a(b(x1)))) 62.18/16.76 62.18/16.76 Q is empty. 62.18/16.76 62.18/16.76 ---------------------------------------- 62.18/16.76 62.18/16.76 (3) FlatCCProof (EQUIVALENT) 62.18/16.76 We used flat context closure [ROOTLAB] 62.18/16.76 As Q is empty the flat context closure was sound AND complete. 62.18/16.76 62.18/16.76 ---------------------------------------- 62.18/16.76 62.18/16.76 (4) 62.18/16.76 Obligation: 62.18/16.76 Q restricted rewrite system: 62.18/16.76 The TRS R consists of the following rules: 62.18/16.76 62.18/16.76 a(a(b(a(x1)))) -> a(b(a(a(x1)))) 62.18/16.76 b(a(a(b(x1)))) -> b(b(b(b(x1)))) 62.18/16.76 b(a(a(b(x1)))) -> b(a(a(a(x1)))) 62.18/16.76 a(a(b(b(a(x1))))) -> a(b(a(a(b(x1))))) 62.18/16.76 b(a(b(b(a(x1))))) -> b(b(a(a(b(x1))))) 62.18/16.76 62.18/16.76 Q is empty. 62.18/16.76 62.18/16.76 ---------------------------------------- 62.18/16.76 62.18/16.76 (5) RootLabelingProof (EQUIVALENT) 62.18/16.76 We used plain root labeling [ROOTLAB] with the following heuristic: 62.18/16.76 LabelAll: All function symbols get labeled 62.18/16.76 62.18/16.76 As Q is empty the root labeling was sound AND complete. 62.18/16.76 62.18/16.76 ---------------------------------------- 62.18/16.76 62.18/16.76 (6) 62.18/16.76 Obligation: 62.18/16.76 Q restricted rewrite system: 62.18/16.76 The TRS R consists of the following rules: 62.18/16.76 62.18/16.76 a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))) 62.18/16.76 a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))) 62.18/16.76 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) 62.18/16.76 b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) 62.18/16.76 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) 62.18/16.76 b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))
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