details

property	value
status	complete
benchmark	z080.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n047.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.96934 seconds
cpu usage	19.638
user time	18.8096
system time	0.828325
max virtual memory	3.9772488E7
max residence set size	2431436.0

stage attributes

key	value
starexec-result	YES

output

19.12/5.80 YES 19.12/5.84 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 19.12/5.84 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 19.12/5.84 19.12/5.84 19.12/5.84 Termination w.r.t. Q of the given QTRS could be proven: 19.12/5.84 19.12/5.84 (0) QTRS 19.12/5.84 (1) FlatCCProof [EQUIVALENT, 0 ms] 19.12/5.84 (2) QTRS 19.12/5.84 (3) RootLabelingProof [EQUIVALENT, 0 ms] 19.12/5.84 (4) QTRS 19.12/5.84 (5) QTRSRRRProof [EQUIVALENT, 94 ms] 19.12/5.84 (6) QTRS 19.12/5.84 (7) QTRSRRRProof [EQUIVALENT, 20 ms] 19.12/5.84 (8) QTRS 19.12/5.84 (9) DependencyPairsProof [EQUIVALENT, 42 ms] 19.12/5.84 (10) QDP 19.12/5.84 (11) QDPOrderProof [EQUIVALENT, 266 ms] 19.12/5.84 (12) QDP 19.12/5.84 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 19.12/5.84 (14) TRUE 19.12/5.84 19.12/5.84 19.12/5.84 ---------------------------------------- 19.12/5.84 19.12/5.84 (0) 19.12/5.84 Obligation: 19.12/5.84 Q restricted rewrite system: 19.12/5.84 The TRS R consists of the following rules: 19.12/5.84 19.12/5.84 A(b(x1)) -> b(a(B(A(x1)))) 19.12/5.84 B(a(x1)) -> a(b(A(B(x1)))) 19.12/5.84 A(a(x1)) -> x1 19.12/5.84 B(b(x1)) -> x1 19.12/5.84 19.12/5.84 Q is empty. 19.12/5.84 19.12/5.84 ---------------------------------------- 19.12/5.84 19.12/5.84 (1) FlatCCProof (EQUIVALENT) 19.12/5.84 We used flat context closure [ROOTLAB] 19.12/5.84 As Q is empty the flat context closure was sound AND complete. 19.12/5.84 19.12/5.84 ---------------------------------------- 19.12/5.84 19.12/5.84 (2) 19.12/5.84 Obligation: 19.12/5.84 Q restricted rewrite system: 19.12/5.84 The TRS R consists of the following rules: 19.12/5.84 19.12/5.84 A(A(b(x1))) -> A(b(a(B(A(x1))))) 19.12/5.84 b(A(b(x1))) -> b(b(a(B(A(x1))))) 19.12/5.84 a(A(b(x1))) -> a(b(a(B(A(x1))))) 19.12/5.84 B(A(b(x1))) -> B(b(a(B(A(x1))))) 19.12/5.84 A(B(a(x1))) -> A(a(b(A(B(x1))))) 19.12/5.84 b(B(a(x1))) -> b(a(b(A(B(x1))))) 19.12/5.84 a(B(a(x1))) -> a(a(b(A(B(x1))))) 19.12/5.84 B(B(a(x1))) -> B(a(b(A(B(x1))))) 19.12/5.84 A(A(a(x1))) -> A(x1) 19.12/5.84 b(A(a(x1))) -> b(x1) 19.12/5.84 a(A(a(x1))) -> a(x1) 19.12/5.84 B(A(a(x1))) -> B(x1) 19.12/5.84 A(B(b(x1))) -> A(x1) 19.12/5.84 b(B(b(x1))) -> b(x1) 19.12/5.84 a(B(b(x1))) -> a(x1) 19.12/5.84 B(B(b(x1))) -> B(x1) 19.12/5.84 19.12/5.84 Q is empty. 19.12/5.84 19.12/5.84 ---------------------------------------- 19.12/5.84 19.12/5.84 (3) RootLabelingProof (EQUIVALENT) 19.12/5.84 We used plain root labeling [ROOTLAB] with the following heuristic: 19.12/5.84 LabelAll: All function symbols get labeled 19.12/5.84 19.12/5.84 As Q is empty the root labeling was sound AND complete. 19.12/5.84 19.12/5.84 ---------------------------------------- 19.12/5.84 19.12/5.84 (4) 19.12/5.84 Obligation: 19.12/5.84 Q restricted rewrite system: 19.12/5.84 The TRS R consists of the following rules: 19.12/5.84 19.12/5.84 A_{A_1}(A_{b_1}(b_{A_1}(x1))) -> A_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{A_1}(x1))))) 19.12/5.84 A_{A_1}(A_{b_1}(b_{b_1}(x1))) -> A_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{b_1}(x1))))) 19.12/5.84 A_{A_1}(A_{b_1}(b_{a_1}(x1))) -> A_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{a_1}(x1))))) 19.12/5.84 A_{A_1}(A_{b_1}(b_{B_1}(x1))) -> A_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{B_1}(x1))))) 19.12/5.84 b_{A_1}(A_{b_1}(b_{A_1}(x1))) -> b_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{A_1}(x1))))) 19.12/5.84 b_{A_1}(A_{b_1}(b_{b_1}(x1))) -> b_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{b_1}(x1))))) 19.12/5.84 b_{A_1}(A_{b_1}(b_{a_1}(x1))) -> b_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{a_1}(x1))))) 19.12/5.84 b_{A_1}(A_{b_1}(b_{B_1}(x1))) -> b_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{B_1}(x1))))) 19.12/5.84 a_{A_1}(A_{b_1}(b_{A_1}(x1))) -> a_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{A_1}(x1))))) 19.12/5.84 a_{A_1}(A_{b_1}(b_{b_1}(x1))) -> a_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{b_1}(x1))))) 19.12/5.84 a_{A_1}(A_{b_1}(b_{a_1}(x1))) -> a_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{a_1}(x1))))) 19.12/5.84 a_{A_1}(A_{b_1}(b_{B_1}(x1))) -> a_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{B_1}(x1))))) 19.12/5.84 B_{A_1}(A_{b_1}(b_{A_1}(x1))) -> B_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{A_1}(x1))))) 19.12/5.84 B_{A_1}(A_{b_1}(b_{b_1}(x1))) -> B_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{b_1}(x1))))) 19.12/5.84 B_{A_1}(A_{b_1}(b_{a_1}(x1))) -> B_{b_1}(b_{a_1}(a_{B_1}(B_{A_1}(A_{a_1}(x1))))) popout

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all output return to SRS_Standard 2019-03-29 03.29