details

property	value
status	complete
benchmark	size-12-alpha-3-num-429.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n009.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	10.8847 seconds
cpu usage	26.0397
user time	24.8965
system time	1.14322
max virtual memory	4.0612972E7
max residence set size	3110800.0

stage attributes

key	value
starexec-result	YES

output

24.37/7.14 YES 25.81/7.51 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 25.81/7.51 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 25.81/7.51 25.81/7.51 25.81/7.51 Termination w.r.t. Q of the given QTRS could be proven: 25.81/7.51 25.81/7.51 (0) QTRS 25.81/7.51 (1) QTRS Reverse [EQUIVALENT, 0 ms] 25.81/7.51 (2) QTRS 25.81/7.51 (3) FlatCCProof [EQUIVALENT, 0 ms] 25.81/7.51 (4) QTRS 25.81/7.51 (5) RootLabelingProof [EQUIVALENT, 0 ms] 25.81/7.51 (6) QTRS 25.81/7.51 (7) QTRSRRRProof [EQUIVALENT, 48 ms] 25.81/7.51 (8) QTRS 25.81/7.51 (9) DependencyPairsProof [EQUIVALENT, 0 ms] 25.81/7.51 (10) QDP 25.81/7.51 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 25.81/7.51 (12) QDP 25.81/7.51 (13) QDPOrderProof [EQUIVALENT, 242 ms] 25.81/7.51 (14) QDP 25.81/7.51 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 25.81/7.51 (16) TRUE 25.81/7.51 25.81/7.51 25.81/7.51 ---------------------------------------- 25.81/7.51 25.81/7.51 (0) 25.81/7.51 Obligation: 25.81/7.51 Q restricted rewrite system: 25.81/7.51 The TRS R consists of the following rules: 25.81/7.51 25.81/7.51 a(x1) -> b(b(c(x1))) 25.81/7.51 a(b(x1)) -> x1 25.81/7.51 a(c(b(x1))) -> a(a(a(x1))) 25.81/7.51 25.81/7.51 Q is empty. 25.81/7.51 25.81/7.51 ---------------------------------------- 25.81/7.51 25.81/7.51 (1) QTRS Reverse (EQUIVALENT) 25.81/7.51 We applied the QTRS Reverse Processor [REVERSE]. 25.81/7.51 ---------------------------------------- 25.81/7.51 25.81/7.51 (2) 25.81/7.51 Obligation: 25.81/7.51 Q restricted rewrite system: 25.81/7.52 The TRS R consists of the following rules: 25.81/7.52 25.81/7.52 a(x1) -> c(b(b(x1))) 25.81/7.52 b(a(x1)) -> x1 25.81/7.52 b(c(a(x1))) -> a(a(a(x1))) 25.81/7.52 25.81/7.52 Q is empty. 25.81/7.52 25.81/7.52 ---------------------------------------- 25.81/7.52 25.81/7.52 (3) FlatCCProof (EQUIVALENT) 25.81/7.52 We used flat context closure [ROOTLAB] 25.81/7.52 As Q is empty the flat context closure was sound AND complete. 25.81/7.52 25.81/7.52 ---------------------------------------- 25.81/7.52 25.81/7.52 (4) 25.81/7.52 Obligation: 25.81/7.52 Q restricted rewrite system: 25.81/7.52 The TRS R consists of the following rules: 25.81/7.52 25.81/7.52 a(a(x1)) -> a(c(b(b(x1)))) 25.81/7.52 c(a(x1)) -> c(c(b(b(x1)))) 25.81/7.52 b(a(x1)) -> b(c(b(b(x1)))) 25.81/7.52 a(b(a(x1))) -> a(x1) 25.81/7.52 c(b(a(x1))) -> c(x1) 25.81/7.52 b(b(a(x1))) -> b(x1) 25.81/7.52 a(b(c(a(x1)))) -> a(a(a(a(x1)))) 25.81/7.52 c(b(c(a(x1)))) -> c(a(a(a(x1)))) 25.81/7.52 b(b(c(a(x1)))) -> b(a(a(a(x1)))) 25.81/7.52 25.81/7.52 Q is empty. 25.81/7.52 25.81/7.52 ---------------------------------------- 25.81/7.52 25.81/7.52 (5) RootLabelingProof (EQUIVALENT) 25.81/7.52 We used plain root labeling [ROOTLAB] with the following heuristic: 25.81/7.52 LabelAll: All function symbols get labeled 25.81/7.52 25.81/7.52 As Q is empty the root labeling was sound AND complete. 25.81/7.52 25.81/7.52 ---------------------------------------- 25.81/7.52 25.81/7.52 (6) 25.81/7.52 Obligation: 25.81/7.52 Q restricted rewrite system: 25.81/7.52 The TRS R consists of the following rules: 25.81/7.52 25.81/7.52 a_{a_1}(a_{a_1}(x1)) -> a_{c_1}(c_{b_1}(b_{b_1}(b_{a_1}(x1)))) 25.81/7.52 a_{a_1}(a_{c_1}(x1)) -> a_{c_1}(c_{b_1}(b_{b_1}(b_{c_1}(x1)))) 25.81/7.52 a_{a_1}(a_{b_1}(x1)) -> a_{c_1}(c_{b_1}(b_{b_1}(b_{b_1}(x1)))) 25.81/7.52 c_{a_1}(a_{a_1}(x1)) -> c_{c_1}(c_{b_1}(b_{b_1}(b_{a_1}(x1)))) popout

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all output return to SRS_Standard 2019-03-29 03.29