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SRS_Standard 2019-03-29 03.29 pair #432294907
details
property
value
status
complete
benchmark
random-215.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.18736 seconds
cpu usage
28.1576
user time
26.6572
system time
1.50036
max virtual memory
2.04397E7
max residence set size
4159612.0
stage attributes
key
value
starexec-result
YES
output
27.09/7.83 YES 27.87/8.05 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 27.87/8.05 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.87/8.05 27.87/8.05 27.87/8.05 Termination w.r.t. Q of the given QTRS could be proven: 27.87/8.05 27.87/8.05 (0) QTRS 27.87/8.05 (1) FlatCCProof [EQUIVALENT, 0 ms] 27.87/8.05 (2) QTRS 27.87/8.05 (3) RootLabelingProof [EQUIVALENT, 0 ms] 27.87/8.05 (4) QTRS 27.87/8.05 (5) DependencyPairsProof [EQUIVALENT, 1 ms] 27.87/8.05 (6) QDP 27.87/8.05 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 27.87/8.05 (8) QDP 27.87/8.05 (9) QDPOrderProof [EQUIVALENT, 134 ms] 27.87/8.05 (10) QDP 27.87/8.05 (11) PisEmptyProof [EQUIVALENT, 0 ms] 27.87/8.05 (12) YES 27.87/8.05 27.87/8.05 27.87/8.05 ---------------------------------------- 27.87/8.05 27.87/8.05 (0) 27.87/8.05 Obligation: 27.87/8.05 Q restricted rewrite system: 27.87/8.05 The TRS R consists of the following rules: 27.87/8.05 27.87/8.05 a(a(b(a(x1)))) -> a(a(a(a(x1)))) 27.87/8.05 a(a(a(b(x1)))) -> b(a(b(a(x1)))) 27.87/8.05 27.87/8.05 Q is empty. 27.87/8.05 27.87/8.05 ---------------------------------------- 27.87/8.05 27.87/8.05 (1) FlatCCProof (EQUIVALENT) 27.87/8.05 We used flat context closure [ROOTLAB] 27.87/8.05 As Q is empty the flat context closure was sound AND complete. 27.87/8.05 27.87/8.05 ---------------------------------------- 27.87/8.05 27.87/8.05 (2) 27.87/8.05 Obligation: 27.87/8.05 Q restricted rewrite system: 27.87/8.05 The TRS R consists of the following rules: 27.87/8.05 27.87/8.05 a(a(b(a(x1)))) -> a(a(a(a(x1)))) 27.87/8.05 a(a(a(a(b(x1))))) -> a(b(a(b(a(x1))))) 27.87/8.05 b(a(a(a(b(x1))))) -> b(b(a(b(a(x1))))) 27.87/8.05 27.87/8.05 Q is empty. 27.87/8.05 27.87/8.05 ---------------------------------------- 27.87/8.05 27.87/8.05 (3) RootLabelingProof (EQUIVALENT) 27.87/8.05 We used plain root labeling [ROOTLAB] with the following heuristic: 27.87/8.05 LabelAll: All function symbols get labeled 27.87/8.05 27.87/8.05 As Q is empty the root labeling was sound AND complete. 27.87/8.05 27.87/8.05 ---------------------------------------- 27.87/8.05 27.87/8.05 (4) 27.87/8.05 Obligation: 27.87/8.05 Q restricted rewrite system: 27.87/8.05 The TRS R consists of the following rules: 27.87/8.05 27.87/8.05 a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) 27.87/8.05 a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) 27.87/8.05 a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) 27.87/8.05 a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) 27.87/8.05 b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) 27.87/8.05 b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) 27.87/8.05 27.87/8.05 Q is empty. 27.87/8.05 27.87/8.05 ---------------------------------------- 27.87/8.05 27.87/8.05 (5) DependencyPairsProof (EQUIVALENT) 27.87/8.05 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 27.87/8.05 ---------------------------------------- 27.87/8.05 27.87/8.05 (6) 27.87/8.05 Obligation: 27.87/8.05 Q DP problem: 27.87/8.05 The TRS P consists of the following rules: 27.87/8.05 27.87/8.05 A_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) 27.87/8.05 A_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> A_{A_1}(a_{a_1}(a_{a_1}(x1))) 27.87/8.05 A_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> A_{A_1}(a_{a_1}(x1)) 27.87/8.05 A_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) 27.87/8.05 A_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> A_{A_1}(a_{a_1}(a_{b_1}(x1))) 27.87/8.05 A_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> A_{A_1}(a_{b_1}(x1)) 27.87/8.05 A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) 27.87/8.05 A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> B_{A_1}(a_{a_1}(x1)) 27.87/8.05 A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> A_{A_1}(x1) 27.87/8.05 A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) 27.87/8.05 A_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> B_{A_1}(a_{b_1}(x1)) 27.87/8.05 B_{A_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))
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