Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432294463
details
property
value
status
complete
benchmark
random-390.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n152.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.31891 seconds
cpu usage
23.4358
user time
22.4113
system time
1.02442
max virtual memory
2.1018032E7
max residence set size
2916260.0
stage attributes
key
value
starexec-result
YES
output
22.96/7.00 YES 22.96/7.01 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 22.96/7.01 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 22.96/7.01 22.96/7.01 22.96/7.01 Termination w.r.t. Q of the given QTRS could be proven: 22.96/7.01 22.96/7.01 (0) QTRS 22.96/7.01 (1) QTRS Reverse [EQUIVALENT, 0 ms] 22.96/7.01 (2) QTRS 22.96/7.01 (3) FlatCCProof [EQUIVALENT, 0 ms] 22.96/7.01 (4) QTRS 22.96/7.01 (5) RootLabelingProof [EQUIVALENT, 0 ms] 22.96/7.01 (6) QTRS 22.96/7.01 (7) DependencyPairsProof [EQUIVALENT, 30 ms] 22.96/7.01 (8) QDP 22.96/7.01 (9) QDPOrderProof [EQUIVALENT, 97 ms] 22.96/7.01 (10) QDP 22.96/7.01 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 22.96/7.01 (12) TRUE 22.96/7.01 22.96/7.01 22.96/7.01 ---------------------------------------- 22.96/7.01 22.96/7.01 (0) 22.96/7.01 Obligation: 22.96/7.01 Q restricted rewrite system: 22.96/7.01 The TRS R consists of the following rules: 22.96/7.01 22.96/7.01 a(a(a(b(x1)))) -> a(b(b(a(x1)))) 22.96/7.01 b(b(b(b(x1)))) -> b(a(b(b(x1)))) 22.96/7.01 a(b(b(a(x1)))) -> b(a(a(a(x1)))) 22.96/7.01 b(a(b(b(x1)))) -> b(b(a(b(x1)))) 22.96/7.01 22.96/7.01 Q is empty. 22.96/7.01 22.96/7.01 ---------------------------------------- 22.96/7.01 22.96/7.01 (1) QTRS Reverse (EQUIVALENT) 22.96/7.01 We applied the QTRS Reverse Processor [REVERSE]. 22.96/7.01 ---------------------------------------- 22.96/7.01 22.96/7.01 (2) 22.96/7.01 Obligation: 22.96/7.01 Q restricted rewrite system: 22.96/7.01 The TRS R consists of the following rules: 22.96/7.01 22.96/7.01 b(a(a(a(x1)))) -> a(b(b(a(x1)))) 22.96/7.01 b(b(b(b(x1)))) -> b(b(a(b(x1)))) 22.96/7.01 a(b(b(a(x1)))) -> a(a(a(b(x1)))) 22.96/7.01 b(b(a(b(x1)))) -> b(a(b(b(x1)))) 22.96/7.01 22.96/7.01 Q is empty. 22.96/7.01 22.96/7.01 ---------------------------------------- 22.96/7.01 22.96/7.01 (3) FlatCCProof (EQUIVALENT) 22.96/7.01 We used flat context closure [ROOTLAB] 22.96/7.01 As Q is empty the flat context closure was sound AND complete. 22.96/7.01 22.96/7.01 ---------------------------------------- 22.96/7.01 22.96/7.01 (4) 22.96/7.01 Obligation: 22.96/7.01 Q restricted rewrite system: 22.96/7.01 The TRS R consists of the following rules: 22.96/7.01 22.96/7.01 b(b(b(b(x1)))) -> b(b(a(b(x1)))) 22.96/7.01 a(b(b(a(x1)))) -> a(a(a(b(x1)))) 22.96/7.01 b(b(a(b(x1)))) -> b(a(b(b(x1)))) 22.96/7.01 b(b(a(a(a(x1))))) -> b(a(b(b(a(x1))))) 22.96/7.01 a(b(a(a(a(x1))))) -> a(a(b(b(a(x1))))) 22.96/7.01 22.96/7.01 Q is empty. 22.96/7.01 22.96/7.01 ---------------------------------------- 22.96/7.01 22.96/7.01 (5) RootLabelingProof (EQUIVALENT) 22.96/7.01 We used plain root labeling [ROOTLAB] with the following heuristic: 22.96/7.01 LabelAll: All function symbols get labeled 22.96/7.01 22.96/7.01 As Q is empty the root labeling was sound AND complete. 22.96/7.01 22.96/7.01 ---------------------------------------- 22.96/7.01 22.96/7.01 (6) 22.96/7.01 Obligation: 22.96/7.01 Q restricted rewrite system: 22.96/7.01 The TRS R consists of the following rules: 22.96/7.01 22.96/7.01 b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) 22.96/7.01 b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) 22.96/7.01 a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) 22.96/7.01 a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) 22.96/7.01 b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) 22.96/7.01 b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 22.96/7.01 b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1))))) 22.96/7.01 b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1))))) 22.96/7.01 a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1))))) 22.96/7.01 a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS_Standard 2019-03-29 03.29