details

property	value
status	complete
benchmark	un01.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n159.star.cs.uiowa.edu
space	Mixed_relative_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.62282 seconds
cpu usage	22.0958
user time	20.9964
system time	1.09941
max virtual memory	1.931532E7
max residence set size	2758204.0

stage attributes

key	value
starexec-result	YES

output

21.68/6.53 YES 21.68/6.55 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 21.68/6.55 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.68/6.55 21.68/6.55 21.68/6.55 Termination of the given RelTRS could be proven: 21.68/6.55 21.68/6.55 (0) RelTRS 21.68/6.55 (1) RelTRS Reverse [EQUIVALENT, 0 ms] 21.68/6.55 (2) RelTRS 21.68/6.55 (3) RootLabelingProof [EQUIVALENT, 0 ms] 21.68/6.55 (4) RelTRS 21.68/6.55 (5) RelTRSRRRProof [EQUIVALENT, 955 ms] 21.68/6.55 (6) RelTRS 21.68/6.55 (7) RelTRSRRRProof [EQUIVALENT, 303 ms] 21.68/6.55 (8) RelTRS 21.68/6.55 (9) RIsEmptyProof [EQUIVALENT, 0 ms] 21.68/6.55 (10) YES 21.68/6.55 21.68/6.55 21.68/6.55 ---------------------------------------- 21.68/6.55 21.68/6.55 (0) 21.68/6.55 Obligation: 21.68/6.55 Relative term rewrite system: 21.68/6.55 The relative TRS consists of the following R rules: 21.68/6.55 21.68/6.55 b(b(a(a(b(a(b(x1))))))) -> b(a(b(b(a(b(b(x1))))))) 21.68/6.55 b(b(b(x1))) -> b(b(a(b(b(x1))))) 21.68/6.55 21.68/6.55 The relative TRS consists of the following S rules: 21.68/6.55 21.68/6.55 b(a(b(x1))) -> b(a(b(a(a(b(x1)))))) 21.68/6.55 21.68/6.55 21.68/6.55 ---------------------------------------- 21.68/6.55 21.68/6.55 (1) RelTRS Reverse (EQUIVALENT) 21.68/6.55 We have reversed the following relative TRS [REVERSE]: 21.68/6.55 The set of rules R is 21.68/6.55 b(b(a(a(b(a(b(x1))))))) -> b(a(b(b(a(b(b(x1))))))) 21.68/6.55 b(b(b(x1))) -> b(b(a(b(b(x1))))) 21.68/6.55 21.68/6.55 The set of rules S is 21.68/6.55 b(a(b(x1))) -> b(a(b(a(a(b(x1)))))) 21.68/6.55 21.68/6.55 We have obtained the following relative TRS: 21.68/6.55 The set of rules R is 21.68/6.55 b(a(b(a(a(b(b(x1))))))) -> b(b(a(b(b(a(b(x1))))))) 21.68/6.55 b(b(b(x1))) -> b(b(a(b(b(x1))))) 21.68/6.55 21.68/6.55 The set of rules S is 21.68/6.55 b(a(b(x1))) -> b(a(a(b(a(b(x1)))))) 21.68/6.55 21.68/6.55 21.68/6.55 ---------------------------------------- 21.68/6.55 21.68/6.55 (2) 21.68/6.55 Obligation: 21.68/6.55 Relative term rewrite system: 21.68/6.55 The relative TRS consists of the following R rules: 21.68/6.55 21.68/6.55 b(a(b(a(a(b(b(x1))))))) -> b(b(a(b(b(a(b(x1))))))) 21.68/6.55 b(b(b(x1))) -> b(b(a(b(b(x1))))) 21.68/6.55 21.68/6.55 The relative TRS consists of the following S rules: 21.68/6.55 21.68/6.55 b(a(b(x1))) -> b(a(a(b(a(b(x1)))))) 21.68/6.55 21.68/6.55 21.68/6.55 ---------------------------------------- 21.68/6.55 21.68/6.55 (3) RootLabelingProof (EQUIVALENT) 21.68/6.55 We used plain root labeling [ROOTLAB] with the following heuristic: 21.68/6.55 LabelAll: All function symbols get labeled 21.68/6.55 21.68/6.55 21.68/6.55 ---------------------------------------- 21.68/6.55 21.68/6.55 (4) 21.68/6.55 Obligation: 21.68/6.55 Relative term rewrite system: 21.68/6.55 The relative TRS consists of the following R rules: 21.68/6.55 21.68/6.55 b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))))) 21.68/6.55 b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))))) 21.68/6.55 b_{b_1}(b_{b_1}(b_{b_1}(x1))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1))))) 21.68/6.55 b_{b_1}(b_{b_1}(b_{a_1}(x1))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1))))) 21.68/6.55 21.68/6.55 The relative TRS consists of the following S rules: 21.68/6.55 21.68/6.55 b_{a_1}(a_{b_1}(b_{b_1}(x1))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))) 21.68/6.55 b_{a_1}(a_{b_1}(b_{a_1}(x1))) -> b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))) 21.68/6.55 21.68/6.55 21.68/6.55 ---------------------------------------- 21.68/6.55 21.68/6.55 (5) RelTRSRRRProof (EQUIVALENT) 21.68/6.55 We used the following monotonic ordering for rule removal: 21.68/6.55 Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : popout

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all output return to SRS_Relative 2019-03-29 08.12