details

property	value
status	complete
benchmark	un15.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n153.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	196.53 seconds
cpu usage	723.184
user time	713.667
system time	9.51638
max virtual memory	8.3820696E7
max residence set size	1.4814452E7

stage attributes

key	value
starexec-result	YES

output

721.60/196.06 YES 722.82/196.39 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 722.82/196.39 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 722.82/196.39 722.82/196.39 722.82/196.39 Termination w.r.t. Q of the given QTRS could be proven: 722.82/196.39 722.82/196.39 (0) QTRS 722.82/196.39 (1) RootLabelingProof [EQUIVALENT, 0 ms] 722.82/196.39 (2) QTRS 722.82/196.39 (3) DependencyPairsProof [EQUIVALENT, 56 ms] 722.82/196.39 (4) QDP 722.82/196.39 (5) DependencyGraphProof [EQUIVALENT, 3 ms] 722.82/196.39 (6) AND 722.82/196.39 (7) QDP 722.82/196.39 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 722.82/196.39 (9) YES 722.82/196.39 (10) QDP 722.82/196.39 (11) QDPOrderProof [EQUIVALENT, 7311 ms] 722.82/196.39 (12) QDP 722.82/196.39 (13) QDPOrderProof [EQUIVALENT, 7579 ms] 722.82/196.39 (14) QDP 722.82/196.39 (15) PisEmptyProof [EQUIVALENT, 0 ms] 722.82/196.39 (16) YES 722.82/196.39 (17) QDP 722.82/196.39 (18) SplitQDPProof [EQUIVALENT, 0 ms] 722.82/196.39 (19) AND 722.82/196.39 (20) QDP 722.82/196.39 (21) SemLabProof [SOUND, 0 ms] 722.82/196.39 (22) QDP 722.82/196.39 (23) DependencyGraphProof [EQUIVALENT, 0 ms] 722.82/196.39 (24) QDP 722.82/196.39 (25) QDPOrderProof [EQUIVALENT, 16 ms] 722.82/196.39 (26) QDP 722.82/196.39 (27) QDPOrderProof [EQUIVALENT, 17 ms] 722.82/196.39 (28) QDP 722.82/196.39 (29) PisEmptyProof [SOUND, 0 ms] 722.82/196.39 (30) TRUE 722.82/196.39 (31) QDP 722.82/196.39 (32) QDPOrderProof [EQUIVALENT, 8630 ms] 722.82/196.39 (33) QDP 722.82/196.39 (34) PisEmptyProof [EQUIVALENT, 0 ms] 722.82/196.39 (35) YES 722.82/196.39 722.82/196.39 722.82/196.39 ---------------------------------------- 722.82/196.39 722.82/196.39 (0) 722.82/196.39 Obligation: 722.82/196.39 Q restricted rewrite system: 722.82/196.39 The TRS R consists of the following rules: 722.82/196.39 722.82/196.39 b(b(a(a(b(x1))))) -> b(a(a(b(b(x1))))) 722.82/196.39 b(a(a(a(b(b(b(x1))))))) -> b(b(b(a(a(a(b(x1))))))) 722.82/196.39 b(a(b(a(a(b(x1)))))) -> b(a(b(b(a(a(a(b(x1)))))))) 722.82/196.39 b(a(a(a(b(a(b(x1))))))) -> b(a(a(b(a(b(x1)))))) 722.82/196.39 722.82/196.39 Q is empty. 722.82/196.39 722.82/196.39 ---------------------------------------- 722.82/196.39 722.82/196.39 (1) RootLabelingProof (EQUIVALENT) 722.82/196.39 We used plain root labeling [ROOTLAB] with the following heuristic: 722.82/196.39 LabelAll: All function symbols get labeled 722.82/196.39 722.82/196.39 As Q is empty the root labeling was sound AND complete. 722.82/196.39 722.82/196.39 ---------------------------------------- 722.82/196.39 722.82/196.39 (2) 722.82/196.39 Obligation: 722.82/196.39 Q restricted rewrite system: 722.82/196.39 The TRS R consists of the following rules: 722.82/196.39 722.82/196.39 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))) 722.82/196.39 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))) 722.82/196.39 b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1))))))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))))) 722.82/196.39 b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1))))))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))))) 722.82/196.39 b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))))))) 722.82/196.39 b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))))))) 722.82/196.39 b_{a_1}(a_{a_1}(a_{a_1}(a_{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_{b_1}(x1)))))) 722.82/196.39 b_{a_1}(a_{a_1}(a_{a_1}(a_{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}(x1)))))) 722.82/196.39 722.82/196.39 Q is empty. 722.82/196.39 722.82/196.39 ---------------------------------------- 722.82/196.39 722.82/196.39 (3) DependencyPairsProof (EQUIVALENT) 722.82/196.39 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 722.82/196.39 ---------------------------------------- 722.82/196.39 722.82/196.39 (4) 722.82/196.39 Obligation: 722.82/196.39 Q DP problem: 722.82/196.39 The TRS P consists of the following rules: 722.82/196.39 722.82/196.39 B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))) 722.82/196.39 B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> B_{B_1}(b_{b_1}(x1)) 722.82/196.39 B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> B_{A_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))) 722.82/196.39 B_{B_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> B_{B_1}(b_{a_1}(x1)) popout

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all output return to SRS_Standard 2019-03-29 03.29