details

property	value
status	complete
benchmark	un08.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n115.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	8.40661 seconds
cpu usage	28.9803
user time	27.5146
system time	1.46571
max virtual memory	1.2551036E8
max residence set size	3876804.0

stage attributes

key	value
starexec-result	YES

output

28.47/8.26 YES 28.73/8.28 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 28.73/8.28 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 28.73/8.28 28.73/8.28 28.73/8.28 Termination w.r.t. Q of the given QTRS could be proven: 28.73/8.28 28.73/8.28 (0) QTRS 28.73/8.28 (1) QTRS Reverse [EQUIVALENT, 0 ms] 28.73/8.28 (2) QTRS 28.73/8.28 (3) RootLabelingProof [EQUIVALENT, 0 ms] 28.73/8.28 (4) QTRS 28.73/8.28 (5) DependencyPairsProof [EQUIVALENT, 34 ms] 28.73/8.28 (6) QDP 28.73/8.28 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 28.73/8.28 (8) AND 28.73/8.28 (9) QDP 28.73/8.28 (10) QDPOrderProof [EQUIVALENT, 40 ms] 28.73/8.28 (11) QDP 28.73/8.28 (12) QDPOrderProof [EQUIVALENT, 48 ms] 28.73/8.28 (13) QDP 28.73/8.28 (14) PisEmptyProof [EQUIVALENT, 0 ms] 28.73/8.28 (15) YES 28.73/8.28 (16) QDP 28.73/8.28 (17) QDPOrderProof [EQUIVALENT, 92 ms] 28.73/8.28 (18) QDP 28.73/8.28 (19) PisEmptyProof [EQUIVALENT, 0 ms] 28.73/8.28 (20) YES 28.73/8.28 28.73/8.28 28.73/8.28 ---------------------------------------- 28.73/8.28 28.73/8.28 (0) 28.73/8.28 Obligation: 28.73/8.28 Q restricted rewrite system: 28.73/8.28 The TRS R consists of the following rules: 28.73/8.28 28.73/8.28 b(b(a(b(x1)))) -> b(a(b(b(b(b(x1)))))) 28.73/8.28 b(a(b(b(x1)))) -> b(b(b(x1))) 28.73/8.28 b(b(b(x1))) -> b(b(a(a(b(a(b(x1))))))) 28.73/8.28 28.73/8.28 Q is empty. 28.73/8.28 28.73/8.28 ---------------------------------------- 28.73/8.28 28.73/8.28 (1) QTRS Reverse (EQUIVALENT) 28.73/8.28 We applied the QTRS Reverse Processor [REVERSE]. 28.73/8.28 ---------------------------------------- 28.73/8.28 28.73/8.28 (2) 28.73/8.28 Obligation: 28.73/8.28 Q restricted rewrite system: 28.73/8.28 The TRS R consists of the following rules: 28.73/8.28 28.73/8.28 b(a(b(b(x1)))) -> b(b(b(b(a(b(x1)))))) 28.73/8.28 b(b(a(b(x1)))) -> b(b(b(x1))) 28.73/8.28 b(b(b(x1))) -> b(a(b(a(a(b(b(x1))))))) 28.73/8.28 28.73/8.28 Q is empty. 28.73/8.28 28.73/8.28 ---------------------------------------- 28.73/8.28 28.73/8.28 (3) RootLabelingProof (EQUIVALENT) 28.73/8.28 We used plain root labeling [ROOTLAB] with the following heuristic: 28.73/8.28 LabelAll: All function symbols get labeled 28.73/8.28 28.73/8.28 As Q is empty the root labeling was sound AND complete. 28.73/8.28 28.73/8.28 ---------------------------------------- 28.73/8.28 28.73/8.28 (4) 28.73/8.28 Obligation: 28.73/8.28 Q restricted rewrite system: 28.73/8.28 The TRS R consists of the following rules: 28.73/8.28 28.73/8.28 b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))) 28.73/8.28 b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))) 28.73/8.28 b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{b_1}(x1))) 28.73/8.28 b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{a_1}(x1))) 28.73/8.28 b_{b_1}(b_{b_1}(b_{b_1}(x1))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))) 28.73/8.28 b_{b_1}(b_{b_1}(b_{a_1}(x1))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))))) 28.73/8.28 28.73/8.28 Q is empty. 28.73/8.28 28.73/8.28 ---------------------------------------- 28.73/8.28 28.73/8.28 (5) DependencyPairsProof (EQUIVALENT) 28.73/8.28 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 28.73/8.28 ---------------------------------------- 28.73/8.28 28.73/8.28 (6) 28.73/8.28 Obligation: 28.73/8.28 Q DP problem: 28.73/8.28 The TRS P consists of the following rules: 28.73/8.28 28.73/8.28 B_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))) 28.73/8.28 B_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> B_{B_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) 28.73/8.28 B_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> B_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) 28.73/8.28 B_{A_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> B_{A_1}(a_{b_1}(b_{b_1}(x1))) 28.73/8.28 B_{A_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> B_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))) popout

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all output return to SRS_Standard 2019-03-29 03.29