details

property	value
status	complete
benchmark	random-116.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n055.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.78862 seconds
cpu usage	4.28579
user time	4.09295
system time	0.192841
max virtual memory	1.9142348E7
max residence set size	342888.0

stage attributes

key	value
starexec-result	YES

output

4.12/1.74 YES 4.22/1.75 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 4.22/1.75 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.22/1.75 4.22/1.75 4.22/1.75 Termination of the given RelTRS could be proven: 4.22/1.75 4.22/1.75 (0) RelTRS 4.22/1.75 (1) FlatCCProof [EQUIVALENT, 0 ms] 4.22/1.75 (2) RelTRS 4.22/1.75 (3) RootLabelingProof [EQUIVALENT, 0 ms] 4.22/1.75 (4) RelTRS 4.22/1.75 (5) RelTRSRRRProof [EQUIVALENT, 12 ms] 4.22/1.75 (6) RelTRS 4.22/1.75 (7) RIsEmptyProof [EQUIVALENT, 0 ms] 4.22/1.75 (8) YES 4.22/1.75 4.22/1.75 4.22/1.75 ---------------------------------------- 4.22/1.75 4.22/1.75 (0) 4.22/1.75 Obligation: 4.22/1.75 Relative term rewrite system: 4.22/1.75 The relative TRS consists of the following R rules: 4.22/1.75 4.22/1.75 b(c(a(x1))) -> a(b(a(x1))) 4.22/1.75 a(a(a(x1))) -> c(c(c(x1))) 4.22/1.75 a(a(a(x1))) -> a(b(a(x1))) 4.22/1.75 4.22/1.75 The relative TRS consists of the following S rules: 4.22/1.75 4.22/1.75 c(c(a(x1))) -> c(a(c(x1))) 4.22/1.75 b(a(b(x1))) -> b(c(c(x1))) 4.22/1.75 c(a(b(x1))) -> a(c(b(x1))) 4.22/1.75 4.22/1.75 4.22/1.75 ---------------------------------------- 4.22/1.75 4.22/1.75 (1) FlatCCProof (EQUIVALENT) 4.22/1.75 We used flat context closure [ROOTLAB] 4.22/1.75 4.22/1.75 ---------------------------------------- 4.22/1.75 4.22/1.75 (2) 4.22/1.75 Obligation: 4.22/1.75 Relative term rewrite system: 4.22/1.75 The relative TRS consists of the following R rules: 4.22/1.75 4.22/1.75 a(a(a(x1))) -> a(b(a(x1))) 4.22/1.75 b(b(c(a(x1)))) -> b(a(b(a(x1)))) 4.22/1.75 c(b(c(a(x1)))) -> c(a(b(a(x1)))) 4.22/1.75 a(b(c(a(x1)))) -> a(a(b(a(x1)))) 4.22/1.75 b(a(a(a(x1)))) -> b(c(c(c(x1)))) 4.22/1.75 c(a(a(a(x1)))) -> c(c(c(c(x1)))) 4.22/1.75 a(a(a(a(x1)))) -> a(c(c(c(x1)))) 4.22/1.75 4.22/1.75 The relative TRS consists of the following S rules: 4.22/1.75 4.22/1.75 c(c(a(x1))) -> c(a(c(x1))) 4.22/1.75 b(a(b(x1))) -> b(c(c(x1))) 4.22/1.75 b(c(a(b(x1)))) -> b(a(c(b(x1)))) 4.22/1.75 c(c(a(b(x1)))) -> c(a(c(b(x1)))) 4.22/1.75 a(c(a(b(x1)))) -> a(a(c(b(x1)))) 4.22/1.75 4.22/1.75 4.22/1.75 ---------------------------------------- 4.22/1.75 4.22/1.75 (3) RootLabelingProof (EQUIVALENT) 4.22/1.75 We used plain root labeling [ROOTLAB] with the following heuristic: 4.22/1.75 LabelAll: All function symbols get labeled 4.22/1.75 4.22/1.75 4.22/1.75 ---------------------------------------- 4.22/1.75 4.22/1.75 (4) 4.22/1.75 Obligation: 4.22/1.75 Relative term rewrite system: 4.22/1.75 The relative TRS consists of the following R rules: 4.22/1.75 4.22/1.75 a_{a_1}(a_{a_1}(a_{a_1}(x1))) -> a_{b_1}(b_{a_1}(a_{a_1}(x1))) 4.22/1.75 a_{a_1}(a_{a_1}(a_{b_1}(x1))) -> a_{b_1}(b_{a_1}(a_{b_1}(x1))) 4.22/1.75 a_{a_1}(a_{a_1}(a_{c_1}(x1))) -> a_{b_1}(b_{a_1}(a_{c_1}(x1))) 4.22/1.75 b_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) 4.22/1.75 b_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) 4.22/1.75 b_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{c_1}(x1)))) 4.22/1.75 c_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))) -> c_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) 4.22/1.75 c_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))) -> c_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) 4.22/1.75 c_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))) -> c_{a_1}(a_{b_1}(b_{a_1}(a_{c_1}(x1)))) 4.22/1.75 a_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))) 4.22/1.75 a_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))) 4.22/1.75 a_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{c_1}(x1)))) 4.22/1.75 b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) -> b_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(x1)))) 4.22/1.75 b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) -> b_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1)))) 4.22/1.75 b_{a_1}(a_{a_1}(a_{a_1}(a_{c_1}(x1)))) -> b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1)))) 4.22/1.75 c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) -> c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(x1)))) 4.22/1.75 c_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) -> c_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1)))) 4.22/1.75 c_{a_1}(a_{a_1}(a_{a_1}(a_{c_1}(x1)))) -> c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1)))) 4.22/1.75 a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) -> a_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(x1)))) 4.22/1.75 a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) -> a_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1)))) 4.22/1.75 a_{a_1}(a_{a_1}(a_{a_1}(a_{c_1}(x1)))) -> a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1)))) popout

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all output return to SRS_Relative 2019-03-29 08.12