details

property	value
status	complete
benchmark	random-436.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n128.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	23.8239 seconds
cpu usage	23.6943
user time	22.9824
system time	0.711884
max virtual memory	1335268.0
max residence set size	227836.0

stage attributes

key	value
starexec-result	YES

output

23.57/23.82 YES 23.57/23.82 23.57/23.82 Problem 1: 23.57/23.82 23.57/23.82 (VAR v_NonEmpty:S x1:S) 23.57/23.82 (RULES 23.57/23.82 a(a(b(a(x1:S)))) -> a(b(b(a(x1:S)))) 23.57/23.82 a(a(b(b(x1:S)))) -> b(b(a(a(x1:S)))) 23.57/23.82 a(b(b(a(x1:S)))) -> a(b(a(b(x1:S)))) 23.57/23.82 ) 23.57/23.82 23.57/23.82 Problem 1: 23.57/23.82 23.57/23.82 Dependency Pairs Processor: 23.57/23.82 -> Pairs: 23.57/23.82 A(a(b(a(x1:S)))) -> A(b(b(a(x1:S)))) 23.57/23.82 A(a(b(b(x1:S)))) -> A(a(x1:S)) 23.57/23.82 A(a(b(b(x1:S)))) -> A(x1:S) 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(a(b(x1:S)))) 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(x1:S)) 23.57/23.82 -> Rules: 23.57/23.82 a(a(b(a(x1:S)))) -> a(b(b(a(x1:S)))) 23.57/23.82 a(a(b(b(x1:S)))) -> b(b(a(a(x1:S)))) 23.57/23.82 a(b(b(a(x1:S)))) -> a(b(a(b(x1:S)))) 23.57/23.82 23.57/23.82 Problem 1: 23.57/23.82 23.57/23.82 SCC Processor: 23.57/23.82 -> Pairs: 23.57/23.82 A(a(b(a(x1:S)))) -> A(b(b(a(x1:S)))) 23.57/23.82 A(a(b(b(x1:S)))) -> A(a(x1:S)) 23.57/23.82 A(a(b(b(x1:S)))) -> A(x1:S) 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(a(b(x1:S)))) 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(x1:S)) 23.57/23.82 -> Rules: 23.57/23.82 a(a(b(a(x1:S)))) -> a(b(b(a(x1:S)))) 23.57/23.82 a(a(b(b(x1:S)))) -> b(b(a(a(x1:S)))) 23.57/23.82 a(b(b(a(x1:S)))) -> a(b(a(b(x1:S)))) 23.57/23.82 ->Strongly Connected Components: 23.57/23.82 ->->Cycle: 23.57/23.82 ->->-> Pairs: 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(a(b(x1:S)))) 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(x1:S)) 23.57/23.82 ->->-> Rules: 23.57/23.82 a(a(b(a(x1:S)))) -> a(b(b(a(x1:S)))) 23.57/23.82 a(a(b(b(x1:S)))) -> b(b(a(a(x1:S)))) 23.57/23.82 a(b(b(a(x1:S)))) -> a(b(a(b(x1:S)))) 23.57/23.82 ->->Cycle: 23.57/23.82 ->->-> Pairs: 23.57/23.82 A(a(b(b(x1:S)))) -> A(a(x1:S)) 23.57/23.82 A(a(b(b(x1:S)))) -> A(x1:S) 23.57/23.82 ->->-> Rules: 23.57/23.82 a(a(b(a(x1:S)))) -> a(b(b(a(x1:S)))) 23.57/23.82 a(a(b(b(x1:S)))) -> b(b(a(a(x1:S)))) 23.57/23.82 a(b(b(a(x1:S)))) -> a(b(a(b(x1:S)))) 23.57/23.82 23.57/23.82 23.57/23.82 The problem is decomposed in 2 subproblems. 23.57/23.82 23.57/23.82 Problem 1.1: 23.57/23.82 23.57/23.82 Reduction Pair Processor: 23.57/23.82 -> Pairs: 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(a(b(x1:S)))) 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(x1:S)) 23.57/23.82 -> Rules: 23.57/23.82 a(a(b(a(x1:S)))) -> a(b(b(a(x1:S)))) 23.57/23.82 a(a(b(b(x1:S)))) -> b(b(a(a(x1:S)))) 23.57/23.82 a(b(b(a(x1:S)))) -> a(b(a(b(x1:S)))) 23.57/23.82 -> Usable rules: 23.57/23.82 a(a(b(a(x1:S)))) -> a(b(b(a(x1:S)))) 23.57/23.82 a(a(b(b(x1:S)))) -> b(b(a(a(x1:S)))) 23.57/23.82 a(b(b(a(x1:S)))) -> a(b(a(b(x1:S)))) 23.57/23.82 ->Interpretation type: 23.57/23.82 Linear 23.57/23.82 ->Coefficients: 23.57/23.82 Natural Numbers 23.57/23.82 ->Dimension: 23.57/23.82 1 23.57/23.82 ->Bound: 23.57/23.82 2 23.57/23.82 ->Interpretation: 23.57/23.82 23.57/23.82 [a](X) = 2.X + 1 23.57/23.82 [b](X) = 2.X + 1 23.57/23.82 [A](X) = 2.X 23.57/23.82 23.57/23.82 Problem 1.1: 23.57/23.82 23.57/23.82 SCC Processor: 23.57/23.82 -> Pairs: 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(a(b(x1:S)))) 23.57/23.82 -> Rules: 23.57/23.82 a(a(b(a(x1:S)))) -> a(b(b(a(x1:S)))) 23.57/23.82 a(a(b(b(x1:S)))) -> b(b(a(a(x1:S)))) 23.57/23.82 a(b(b(a(x1:S)))) -> a(b(a(b(x1:S)))) 23.57/23.82 ->Strongly Connected Components: 23.57/23.82 ->->Cycle: 23.57/23.82 ->->-> Pairs: 23.57/23.82 A(b(b(a(x1:S)))) -> A(b(a(b(x1:S)))) popout

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all output return to SRS_Standard 2019-03-29 03.29