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SRS_Standard 2019-03-29 03.29 pair #432294751
details
property
value
status
complete
benchmark
random-355.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n013.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.80307 seconds
cpu usage
26.6418
user time
25.2944
system time
1.34738
max virtual memory
1.992166E7
max residence set size
4008752.0
stage attributes
key
value
starexec-result
YES
output
26.00/7.64 YES 26.35/7.66 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 26.35/7.66 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 26.35/7.66 26.35/7.66 26.35/7.66 Termination w.r.t. Q of the given QTRS could be proven: 26.35/7.66 26.35/7.66 (0) QTRS 26.35/7.66 (1) FlatCCProof [EQUIVALENT, 0 ms] 26.35/7.66 (2) QTRS 26.35/7.66 (3) RootLabelingProof [EQUIVALENT, 0 ms] 26.35/7.66 (4) QTRS 26.35/7.66 (5) DependencyPairsProof [EQUIVALENT, 53 ms] 26.35/7.66 (6) QDP 26.35/7.66 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 26.35/7.66 (8) QDP 26.35/7.66 (9) QDPOrderProof [EQUIVALENT, 68 ms] 26.35/7.66 (10) QDP 26.35/7.66 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 26.35/7.66 (12) TRUE 26.35/7.66 26.35/7.66 26.35/7.66 ---------------------------------------- 26.35/7.66 26.35/7.66 (0) 26.35/7.66 Obligation: 26.35/7.66 Q restricted rewrite system: 26.35/7.66 The TRS R consists of the following rules: 26.35/7.66 26.35/7.66 a(a(b(a(x1)))) -> a(a(a(b(x1)))) 26.35/7.66 b(b(b(a(x1)))) -> a(a(a(b(x1)))) 26.35/7.66 b(a(a(b(x1)))) -> b(b(b(a(x1)))) 26.35/7.66 26.35/7.66 Q is empty. 26.35/7.66 26.35/7.66 ---------------------------------------- 26.35/7.66 26.35/7.66 (1) FlatCCProof (EQUIVALENT) 26.35/7.66 We used flat context closure [ROOTLAB] 26.35/7.66 As Q is empty the flat context closure was sound AND complete. 26.35/7.66 26.35/7.66 ---------------------------------------- 26.35/7.66 26.35/7.66 (2) 26.35/7.66 Obligation: 26.35/7.66 Q restricted rewrite system: 26.35/7.66 The TRS R consists of the following rules: 26.35/7.66 26.35/7.66 a(a(b(a(x1)))) -> a(a(a(b(x1)))) 26.35/7.66 b(a(a(b(x1)))) -> b(b(b(a(x1)))) 26.35/7.66 a(b(b(b(a(x1))))) -> a(a(a(a(b(x1))))) 26.35/7.66 b(b(b(b(a(x1))))) -> b(a(a(a(b(x1))))) 26.35/7.66 26.35/7.66 Q is empty. 26.35/7.66 26.35/7.66 ---------------------------------------- 26.35/7.66 26.35/7.66 (3) RootLabelingProof (EQUIVALENT) 26.35/7.66 We used plain root labeling [ROOTLAB] with the following heuristic: 26.35/7.66 LabelAll: All function symbols get labeled 26.35/7.66 26.35/7.66 As Q is empty the root labeling was sound AND complete. 26.35/7.66 26.35/7.66 ---------------------------------------- 26.35/7.66 26.35/7.66 (4) 26.35/7.66 Obligation: 26.35/7.66 Q restricted rewrite system: 26.35/7.66 The TRS R consists of the following rules: 26.35/7.66 26.35/7.66 a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) 26.35/7.66 a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) 26.35/7.66 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) 26.35/7.66 b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) 26.35/7.66 a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) 26.35/7.66 a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) 26.35/7.66 b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) 26.35/7.66 b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) 26.35/7.66 26.35/7.66 Q is empty. 26.35/7.66 26.35/7.66 ---------------------------------------- 26.35/7.66 26.35/7.66 (5) DependencyPairsProof (EQUIVALENT) 26.35/7.66 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 26.35/7.66 ---------------------------------------- 26.35/7.66 26.35/7.66 (6) 26.35/7.66 Obligation: 26.35/7.66 Q DP problem: 26.35/7.66 The TRS P consists of the following rules: 26.35/7.66 26.35/7.66 A_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> A_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) 26.35/7.66 A_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> A_{A_1}(a_{b_1}(b_{a_1}(x1))) 26.35/7.66 A_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> A_{B_1}(b_{a_1}(x1)) 26.35/7.66 A_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> B_{A_1}(x1) 26.35/7.66 A_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> A_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) 26.35/7.66 A_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> A_{A_1}(a_{b_1}(b_{b_1}(x1))) 26.35/7.66 A_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> A_{B_1}(b_{b_1}(x1)) 26.35/7.66 A_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> B_{B_1}(x1)
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