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SRS_Standard 2019-03-29 03.29 pair #432294997
details
property
value
status
complete
benchmark
random-486.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n099.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.44951 seconds
cpu usage
16.0842
user time
15.3322
system time
0.751925
max virtual memory
8.3690936E7
max residence set size
2094160.0
stage attributes
key
value
starexec-result
YES
output
13.54/4.41 YES 16.02/6.12 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 16.02/6.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 16.02/6.12 16.02/6.12 16.02/6.12 Termination w.r.t. Q of the given QTRS could be proven: 16.02/6.12 16.02/6.12 (0) QTRS 16.02/6.12 (1) FlatCCProof [EQUIVALENT, 0 ms] 16.02/6.12 (2) QTRS 16.02/6.12 (3) RootLabelingProof [EQUIVALENT, 0 ms] 16.02/6.12 (4) QTRS 16.02/6.12 (5) QTRSRRRProof [EQUIVALENT, 25 ms] 16.02/6.12 (6) QTRS 16.02/6.12 (7) QTRSRRRProof [EQUIVALENT, 3 ms] 16.02/6.12 (8) QTRS 16.02/6.12 (9) DependencyPairsProof [EQUIVALENT, 0 ms] 16.02/6.12 (10) QDP 16.02/6.12 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 16.02/6.12 (12) AND 16.02/6.12 (13) QDP 16.02/6.12 (14) UsableRulesProof [EQUIVALENT, 0 ms] 16.02/6.12 (15) QDP 16.02/6.12 (16) QDPSizeChangeProof [EQUIVALENT, 1 ms] 16.02/6.12 (17) YES 16.02/6.12 (18) QDP 16.02/6.12 (19) QDPOrderProof [EQUIVALENT, 8 ms] 16.02/6.12 (20) QDP 16.02/6.12 (21) PisEmptyProof [EQUIVALENT, 0 ms] 16.02/6.12 (22) YES 16.02/6.12 16.02/6.12 16.02/6.12 ---------------------------------------- 16.02/6.12 16.02/6.12 (0) 16.02/6.12 Obligation: 16.02/6.12 Q restricted rewrite system: 16.02/6.12 The TRS R consists of the following rules: 16.02/6.12 16.02/6.12 b(a(a(a(x1)))) -> a(a(b(a(x1)))) 16.02/6.12 b(a(b(b(x1)))) -> b(a(a(a(x1)))) 16.02/6.12 a(a(b(b(x1)))) -> a(b(b(a(x1)))) 16.02/6.12 16.02/6.12 Q is empty. 16.02/6.12 16.02/6.12 ---------------------------------------- 16.02/6.12 16.02/6.12 (1) FlatCCProof (EQUIVALENT) 16.02/6.12 We used flat context closure [ROOTLAB] 16.02/6.12 As Q is empty the flat context closure was sound AND complete. 16.02/6.12 16.02/6.12 ---------------------------------------- 16.02/6.12 16.02/6.12 (2) 16.02/6.12 Obligation: 16.02/6.12 Q restricted rewrite system: 16.02/6.12 The TRS R consists of the following rules: 16.02/6.12 16.02/6.12 b(a(b(b(x1)))) -> b(a(a(a(x1)))) 16.02/6.12 a(a(b(b(x1)))) -> a(b(b(a(x1)))) 16.02/6.12 b(b(a(a(a(x1))))) -> b(a(a(b(a(x1))))) 16.02/6.12 a(b(a(a(a(x1))))) -> a(a(a(b(a(x1))))) 16.02/6.12 16.02/6.12 Q is empty. 16.02/6.12 16.02/6.12 ---------------------------------------- 16.02/6.12 16.02/6.12 (3) RootLabelingProof (EQUIVALENT) 16.02/6.12 We used plain root labeling [ROOTLAB] with the following heuristic: 16.02/6.12 LabelAll: All function symbols get labeled 16.02/6.12 16.02/6.12 As Q is empty the root labeling was sound AND complete. 16.02/6.12 16.02/6.12 ---------------------------------------- 16.02/6.12 16.02/6.12 (4) 16.02/6.12 Obligation: 16.02/6.12 Q restricted rewrite system: 16.02/6.12 The TRS R consists of the following rules: 16.02/6.12 16.02/6.12 b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) 16.02/6.12 b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) 16.02/6.12 a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) 16.02/6.12 a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) 16.02/6.12 b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) 16.02/6.12 b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) 16.02/6.12 a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) 16.02/6.12 a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) 16.02/6.12 16.02/6.12 Q is empty. 16.02/6.12 16.02/6.12 ---------------------------------------- 16.02/6.12 16.02/6.12 (5) QTRSRRRProof (EQUIVALENT) 16.02/6.12 Used ordering: 16.02/6.12 Polynomial interpretation [POLO]: 16.02/6.12 16.02/6.12 POL(a_{a_1}(x_1)) = x_1 16.02/6.12 POL(a_{b_1}(x_1)) = 1 + x_1 16.02/6.12 POL(b_{a_1}(x_1)) = x_1
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