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SRS_Standard 2019-03-29 03.29 pair #432294445
details
property
value
status
complete
benchmark
un17.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n079.star.cs.uiowa.edu
space
Trafo_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
65.6856 seconds
cpu usage
254.65
user time
248.362
system time
6.28754
max virtual memory
4.2238564E7
max residence set size
1.031464E7
stage attributes
key
value
starexec-result
YES
output
253.81/65.47 YES 254.12/65.56 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 254.12/65.56 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 254.12/65.56 254.12/65.56 254.12/65.56 Termination w.r.t. Q of the given QTRS could be proven: 254.12/65.56 254.12/65.56 (0) QTRS 254.12/65.56 (1) QTRS Reverse [EQUIVALENT, 0 ms] 254.12/65.56 (2) QTRS 254.12/65.56 (3) RootLabelingProof [EQUIVALENT, 0 ms] 254.12/65.56 (4) QTRS 254.12/65.56 (5) DependencyPairsProof [EQUIVALENT, 26 ms] 254.12/65.56 (6) QDP 254.12/65.56 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 254.12/65.56 (8) QDP 254.12/65.56 (9) QDPOrderProof [EQUIVALENT, 7456 ms] 254.12/65.56 (10) QDP 254.12/65.56 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 254.12/65.56 (12) TRUE 254.12/65.56 254.12/65.56 254.12/65.56 ---------------------------------------- 254.12/65.56 254.12/65.56 (0) 254.12/65.56 Obligation: 254.12/65.56 Q restricted rewrite system: 254.12/65.56 The TRS R consists of the following rules: 254.12/65.56 254.12/65.56 b(b(b(x1))) -> b(b(a(b(a(b(a(b(x1)))))))) 254.12/65.56 b(a(b(b(x1)))) -> b(a(b(a(b(a(a(b(x1)))))))) 254.12/65.56 b(b(a(b(a(b(a(a(b(x1))))))))) -> b(b(b(b(a(b(x1)))))) 254.12/65.56 254.12/65.56 Q is empty. 254.12/65.56 254.12/65.56 ---------------------------------------- 254.12/65.56 254.12/65.56 (1) QTRS Reverse (EQUIVALENT) 254.12/65.56 We applied the QTRS Reverse Processor [REVERSE]. 254.12/65.56 ---------------------------------------- 254.12/65.56 254.12/65.56 (2) 254.12/65.56 Obligation: 254.12/65.56 Q restricted rewrite system: 254.12/65.56 The TRS R consists of the following rules: 254.12/65.56 254.12/65.56 b(b(b(x1))) -> b(a(b(a(b(a(b(b(x1)))))))) 254.12/65.56 b(b(a(b(x1)))) -> b(a(a(b(a(b(a(b(x1)))))))) 254.12/65.56 b(a(a(b(a(b(a(b(b(x1))))))))) -> b(a(b(b(b(b(x1)))))) 254.12/65.56 254.12/65.56 Q is empty. 254.12/65.56 254.12/65.56 ---------------------------------------- 254.12/65.56 254.12/65.56 (3) RootLabelingProof (EQUIVALENT) 254.12/65.56 We used plain root labeling [ROOTLAB] with the following heuristic: 254.12/65.56 LabelAll: All function symbols get labeled 254.12/65.56 254.12/65.56 As Q is empty the root labeling was sound AND complete. 254.12/65.56 254.12/65.56 ---------------------------------------- 254.12/65.56 254.12/65.56 (4) 254.12/65.56 Obligation: 254.12/65.56 Q restricted rewrite system: 254.12/65.56 The TRS R consists of the following rules: 254.12/65.56 254.12/65.56 b_{b_1}(b_{b_1}(b_{b_1}(x1))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))))))) 254.12/65.56 b_{b_1}(b_{b_1}(b_{a_1}(x1))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))))))) 254.12/65.56 b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))))) 254.12/65.56 b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))))) 254.12/65.56 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))))) 254.12/65.56 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))))))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))))) 254.12/65.56 254.12/65.56 Q is empty. 254.12/65.56 254.12/65.56 ---------------------------------------- 254.12/65.56 254.12/65.56 (5) DependencyPairsProof (EQUIVALENT) 254.12/65.56 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 254.12/65.56 ---------------------------------------- 254.12/65.56 254.12/65.56 (6) 254.12/65.56 Obligation: 254.12/65.56 Q DP problem: 254.12/65.56 The TRS P consists of the following rules: 254.12/65.56 254.12/65.56 B_{B_1}(b_{b_1}(b_{b_1}(x1))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))))))) 254.12/65.56 B_{B_1}(b_{b_1}(b_{b_1}(x1))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))))) 254.12/65.56 B_{B_1}(b_{b_1}(b_{b_1}(x1))) -> B_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) 254.12/65.56 B_{B_1}(b_{b_1}(b_{a_1}(x1))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))))))) 254.12/65.56 B_{B_1}(b_{b_1}(b_{a_1}(x1))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))))) 254.12/65.56 B_{B_1}(b_{b_1}(b_{a_1}(x1))) -> B_{A_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 254.12/65.56 B_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))))) 254.12/65.56 B_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) 254.12/65.56 B_{B_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))))) 254.12/65.56 B_{B_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) 254.12/65.56 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))))) -> B_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))))) 254.12/65.56 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))))) -> B_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) 254.12/65.56 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))))) -> B_{B_1}(b_{b_1}(b_{b_1}(x1)))
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