details

property	value
status	complete
benchmark	random-10.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n165.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.42368 seconds
cpu usage	4.75082
user time	4.53812
system time	0.212699
max virtual memory	1.927342E7
max residence set size	359164.0

stage attributes

key	value
starexec-result	YES

output

4.29/2.33 YES 4.59/2.36 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 4.59/2.36 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.59/2.36 4.59/2.36 4.59/2.36 Termination of the given RelTRS could be proven: 4.59/2.36 4.59/2.36 (0) RelTRS 4.59/2.36 (1) FlatCCProof [EQUIVALENT, 0 ms] 4.59/2.36 (2) RelTRS 4.59/2.36 (3) RootLabelingProof [EQUIVALENT, 0 ms] 4.59/2.36 (4) RelTRS 4.59/2.36 (5) RelTRSRRRProof [EQUIVALENT, 15 ms] 4.59/2.36 (6) RelTRS 4.59/2.36 (7) RIsEmptyProof [EQUIVALENT, 0 ms] 4.59/2.36 (8) YES 4.59/2.36 4.59/2.36 4.59/2.36 ---------------------------------------- 4.59/2.36 4.59/2.36 (0) 4.59/2.36 Obligation: 4.59/2.36 Relative term rewrite system: 4.59/2.36 The relative TRS consists of the following R rules: 4.59/2.36 4.59/2.36 a(c(b(x1))) -> c(c(c(x1))) 4.59/2.36 b(c(c(x1))) -> a(a(b(x1))) 4.59/2.36 4.59/2.36 The relative TRS consists of the following S rules: 4.59/2.36 4.59/2.36 c(a(c(x1))) -> b(a(b(x1))) 4.59/2.36 b(c(a(x1))) -> a(b(c(x1))) 4.59/2.36 c(c(c(x1))) -> c(c(b(x1))) 4.59/2.36 4.59/2.36 4.59/2.36 ---------------------------------------- 4.59/2.36 4.59/2.36 (1) FlatCCProof (EQUIVALENT) 4.59/2.36 We used flat context closure [ROOTLAB] 4.59/2.36 4.59/2.36 ---------------------------------------- 4.59/2.36 4.59/2.36 (2) 4.59/2.36 Obligation: 4.59/2.36 Relative term rewrite system: 4.59/2.36 The relative TRS consists of the following R rules: 4.59/2.36 4.59/2.36 a(a(c(b(x1)))) -> a(c(c(c(x1)))) 4.59/2.36 c(a(c(b(x1)))) -> c(c(c(c(x1)))) 4.59/2.36 b(a(c(b(x1)))) -> b(c(c(c(x1)))) 4.59/2.36 a(b(c(c(x1)))) -> a(a(a(b(x1)))) 4.59/2.36 c(b(c(c(x1)))) -> c(a(a(b(x1)))) 4.59/2.36 b(b(c(c(x1)))) -> b(a(a(b(x1)))) 4.59/2.36 4.59/2.36 The relative TRS consists of the following S rules: 4.59/2.36 4.59/2.36 c(c(c(x1))) -> c(c(b(x1))) 4.59/2.36 a(c(a(c(x1)))) -> a(b(a(b(x1)))) 4.59/2.36 c(c(a(c(x1)))) -> c(b(a(b(x1)))) 4.59/2.36 b(c(a(c(x1)))) -> b(b(a(b(x1)))) 4.59/2.36 a(b(c(a(x1)))) -> a(a(b(c(x1)))) 4.59/2.36 c(b(c(a(x1)))) -> c(a(b(c(x1)))) 4.59/2.36 b(b(c(a(x1)))) -> b(a(b(c(x1)))) 4.59/2.36 4.59/2.36 4.59/2.36 ---------------------------------------- 4.59/2.36 4.59/2.36 (3) RootLabelingProof (EQUIVALENT) 4.59/2.36 We used plain root labeling [ROOTLAB] with the following heuristic: 4.59/2.36 LabelAll: All function symbols get labeled 4.59/2.36 4.59/2.36 4.59/2.36 ---------------------------------------- 4.59/2.36 4.59/2.36 (4) 4.59/2.36 Obligation: 4.59/2.36 Relative term rewrite system: 4.59/2.36 The relative TRS consists of the following R rules: 4.59/2.36 4.59/2.36 a_{a_1}(a_{c_1}(c_{b_1}(b_{a_1}(x1)))) -> a_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(x1)))) 4.59/2.36 a_{a_1}(a_{c_1}(c_{b_1}(b_{c_1}(x1)))) -> a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1)))) 4.59/2.36 a_{a_1}(a_{c_1}(c_{b_1}(b_{b_1}(x1)))) -> a_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1)))) 4.59/2.36 c_{a_1}(a_{c_1}(c_{b_1}(b_{a_1}(x1)))) -> c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(x1)))) 4.59/2.36 c_{a_1}(a_{c_1}(c_{b_1}(b_{c_1}(x1)))) -> c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1)))) 4.59/2.36 c_{a_1}(a_{c_1}(c_{b_1}(b_{b_1}(x1)))) -> c_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1)))) 4.59/2.36 b_{a_1}(a_{c_1}(c_{b_1}(b_{a_1}(x1)))) -> b_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(x1)))) 4.59/2.36 b_{a_1}(a_{c_1}(c_{b_1}(b_{c_1}(x1)))) -> b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1)))) 4.59/2.36 b_{a_1}(a_{c_1}(c_{b_1}(b_{b_1}(x1)))) -> b_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1)))) 4.59/2.36 a_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) 4.59/2.36 a_{b_1}(b_{c_1}(c_{c_1}(c_{c_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{c_1}(x1)))) 4.59/2.36 a_{b_1}(b_{c_1}(c_{c_1}(c_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) 4.59/2.36 c_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(x1)))) -> c_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) 4.59/2.36 c_{b_1}(b_{c_1}(c_{c_1}(c_{c_1}(x1)))) -> c_{a_1}(a_{a_1}(a_{b_1}(b_{c_1}(x1)))) 4.59/2.36 c_{b_1}(b_{c_1}(c_{c_1}(c_{b_1}(x1)))) -> c_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) 4.59/2.36 b_{b_1}(b_{c_1}(c_{c_1}(c_{a_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) 4.59/2.36 b_{b_1}(b_{c_1}(c_{c_1}(c_{c_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{c_1}(x1)))) 4.59/2.36 b_{b_1}(b_{c_1}(c_{c_1}(c_{b_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) 4.59/2.36 4.59/2.36 The relative TRS consists of the following S rules: 4.59/2.36 popout

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all output return to SRS_Relative 2019-03-29 08.12