details

property	value
status	complete
benchmark	random-92.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n155.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	20.574 seconds
cpu usage	77.783
user time	75.4943
system time	2.28869
max virtual memory	3.8849716E7
max residence set size	4721792.0

stage attributes

key	value
starexec-result	YES

output

77.56/20.51 YES 77.56/20.52 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 77.56/20.52 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 77.56/20.52 77.56/20.52 77.56/20.52 Termination of the given RelTRS could be proven: 77.56/20.52 77.56/20.52 (0) RelTRS 77.56/20.52 (1) FlatCCProof [EQUIVALENT, 0 ms] 77.56/20.52 (2) RelTRS 77.56/20.52 (3) RootLabelingProof [EQUIVALENT, 0 ms] 77.56/20.52 (4) RelTRS 77.56/20.52 (5) RelTRSRRRProof [EQUIVALENT, 1892 ms] 77.56/20.52 (6) RelTRS 77.56/20.52 (7) RelTRSRRRProof [EQUIVALENT, 2315 ms] 77.56/20.52 (8) RelTRS 77.56/20.52 (9) RelTRSRRRProof [EQUIVALENT, 1527 ms] 77.56/20.52 (10) RelTRS 77.56/20.52 (11) RelTRSRRRProof [EQUIVALENT, 758 ms] 77.56/20.52 (12) RelTRS 77.56/20.52 (13) RelTRSRRRProof [EQUIVALENT, 3 ms] 77.56/20.52 (14) RelTRS 77.56/20.52 (15) RIsEmptyProof [EQUIVALENT, 0 ms] 77.56/20.52 (16) YES 77.56/20.52 77.56/20.52 77.56/20.52 ---------------------------------------- 77.56/20.52 77.56/20.52 (0) 77.56/20.52 Obligation: 77.56/20.52 Relative term rewrite system: 77.56/20.52 The relative TRS consists of the following R rules: 77.56/20.52 77.56/20.52 c(a(a(x1))) -> c(c(b(x1))) 77.56/20.52 c(a(b(x1))) -> c(b(a(x1))) 77.56/20.52 b(b(a(x1))) -> b(b(c(x1))) 77.56/20.52 b(c(b(x1))) -> a(a(a(x1))) 77.56/20.52 77.56/20.52 The relative TRS consists of the following S rules: 77.56/20.52 77.56/20.52 c(a(a(x1))) -> a(b(a(x1))) 77.56/20.52 a(b(c(x1))) -> a(a(c(x1))) 77.56/20.52 77.56/20.52 77.56/20.52 ---------------------------------------- 77.56/20.52 77.56/20.52 (1) FlatCCProof (EQUIVALENT) 77.56/20.52 We used flat context closure [ROOTLAB] 77.56/20.52 77.56/20.52 ---------------------------------------- 77.56/20.52 77.56/20.52 (2) 77.56/20.52 Obligation: 77.56/20.52 Relative term rewrite system: 77.56/20.52 The relative TRS consists of the following R rules: 77.56/20.52 77.56/20.52 c(a(a(x1))) -> c(c(b(x1))) 77.56/20.52 c(a(b(x1))) -> c(b(a(x1))) 77.56/20.52 b(b(a(x1))) -> b(b(c(x1))) 77.56/20.52 c(b(c(b(x1)))) -> c(a(a(a(x1)))) 77.56/20.52 a(b(c(b(x1)))) -> a(a(a(a(x1)))) 77.56/20.52 b(b(c(b(x1)))) -> b(a(a(a(x1)))) 77.56/20.52 77.56/20.52 The relative TRS consists of the following S rules: 77.56/20.52 77.56/20.52 a(b(c(x1))) -> a(a(c(x1))) 77.56/20.52 c(c(a(a(x1)))) -> c(a(b(a(x1)))) 77.56/20.52 a(c(a(a(x1)))) -> a(a(b(a(x1)))) 77.56/20.52 b(c(a(a(x1)))) -> b(a(b(a(x1)))) 77.56/20.52 77.56/20.52 77.56/20.52 ---------------------------------------- 77.56/20.52 77.56/20.52 (3) RootLabelingProof (EQUIVALENT) 77.56/20.52 We used plain root labeling [ROOTLAB] with the following heuristic: 77.56/20.52 LabelAll: All function symbols get labeled 77.56/20.52 77.56/20.52 77.56/20.52 ---------------------------------------- 77.56/20.52 77.56/20.52 (4) 77.56/20.52 Obligation: 77.56/20.52 Relative term rewrite system: 77.56/20.52 The relative TRS consists of the following R rules: 77.56/20.52 77.56/20.52 c_{a_1}(a_{a_1}(a_{c_1}(x1))) -> c_{c_1}(c_{b_1}(b_{c_1}(x1))) 77.56/20.52 c_{a_1}(a_{a_1}(a_{a_1}(x1))) -> c_{c_1}(c_{b_1}(b_{a_1}(x1))) 77.56/20.52 c_{a_1}(a_{a_1}(a_{b_1}(x1))) -> c_{c_1}(c_{b_1}(b_{b_1}(x1))) 77.56/20.52 c_{a_1}(a_{b_1}(b_{c_1}(x1))) -> c_{b_1}(b_{a_1}(a_{c_1}(x1))) 77.56/20.52 c_{a_1}(a_{b_1}(b_{a_1}(x1))) -> c_{b_1}(b_{a_1}(a_{a_1}(x1))) 77.56/20.52 c_{a_1}(a_{b_1}(b_{b_1}(x1))) -> c_{b_1}(b_{a_1}(a_{b_1}(x1))) 77.56/20.52 b_{b_1}(b_{a_1}(a_{c_1}(x1))) -> b_{b_1}(b_{c_1}(c_{c_1}(x1))) 77.56/20.52 b_{b_1}(b_{a_1}(a_{a_1}(x1))) -> b_{b_1}(b_{c_1}(c_{a_1}(x1))) 77.56/20.52 b_{b_1}(b_{a_1}(a_{b_1}(x1))) -> b_{b_1}(b_{c_1}(c_{b_1}(x1))) 77.56/20.52 c_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(x1)))) -> c_{a_1}(a_{a_1}(a_{a_1}(a_{c_1}(x1)))) 77.56/20.52 c_{b_1}(b_{c_1}(c_{b_1}(b_{a_1}(x1)))) -> c_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) 77.56/20.52 c_{b_1}(b_{c_1}(c_{b_1}(b_{b_1}(x1)))) -> c_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) 77.56/20.52 a_{b_1}(b_{c_1}(c_{b_1}(b_{c_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{c_1}(x1)))) 77.56/20.52 a_{b_1}(b_{c_1}(c_{b_1}(b_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) 77.56/20.52 a_{b_1}(b_{c_1}(c_{b_1}(b_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) popout

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all output return to SRS_Relative 2019-03-29 08.12