details

property	value
status	complete
benchmark	random-403.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	25.0967 seconds
cpu usage	24.993
user time	24.2076
system time	0.78546
max virtual memory	1113576.0
max residence set size	363620.0

stage attributes

key	value
starexec-result	YES

output

24.97/25.08 YES 24.97/25.08 24.97/25.08 Problem 1: 24.97/25.08 24.97/25.08 (VAR v_NonEmpty:S x1:S) 24.97/25.08 (RULES 24.97/25.08 a(b(b(a(x1:S)))) -> b(a(a(b(x1:S)))) 24.97/25.08 a(b(b(b(x1:S)))) -> a(a(a(b(x1:S)))) 24.97/25.08 b(b(a(a(x1:S)))) -> b(b(b(a(x1:S)))) 24.97/25.08 ) 24.97/25.08 24.97/25.08 Problem 1: 24.97/25.08 24.97/25.08 Dependency Pairs Processor: 24.97/25.08 -> Pairs: 24.97/25.08 A(b(b(a(x1:S)))) -> A(a(b(x1:S))) 24.97/25.08 A(b(b(a(x1:S)))) -> A(b(x1:S)) 24.97/25.08 A(b(b(a(x1:S)))) -> B(a(a(b(x1:S)))) 24.97/25.08 A(b(b(a(x1:S)))) -> B(x1:S) 24.97/25.08 A(b(b(b(x1:S)))) -> A(a(a(b(x1:S)))) 24.97/25.08 A(b(b(b(x1:S)))) -> A(a(b(x1:S))) 24.97/25.08 A(b(b(b(x1:S)))) -> A(b(x1:S)) 24.97/25.08 B(b(a(a(x1:S)))) -> B(a(x1:S)) 24.97/25.08 B(b(a(a(x1:S)))) -> B(b(a(x1:S))) 24.97/25.08 B(b(a(a(x1:S)))) -> B(b(b(a(x1:S)))) 24.97/25.08 -> Rules: 24.97/25.08 a(b(b(a(x1:S)))) -> b(a(a(b(x1:S)))) 24.97/25.08 a(b(b(b(x1:S)))) -> a(a(a(b(x1:S)))) 24.97/25.08 b(b(a(a(x1:S)))) -> b(b(b(a(x1:S)))) 24.97/25.08 24.97/25.08 Problem 1: 24.97/25.08 24.97/25.08 SCC Processor: 24.97/25.08 -> Pairs: 24.97/25.08 A(b(b(a(x1:S)))) -> A(a(b(x1:S))) 24.97/25.08 A(b(b(a(x1:S)))) -> A(b(x1:S)) 24.97/25.08 A(b(b(a(x1:S)))) -> B(a(a(b(x1:S)))) 24.97/25.08 A(b(b(a(x1:S)))) -> B(x1:S) 24.97/25.08 A(b(b(b(x1:S)))) -> A(a(a(b(x1:S)))) 24.97/25.08 A(b(b(b(x1:S)))) -> A(a(b(x1:S))) 24.97/25.08 A(b(b(b(x1:S)))) -> A(b(x1:S)) 24.97/25.08 B(b(a(a(x1:S)))) -> B(a(x1:S)) 24.97/25.08 B(b(a(a(x1:S)))) -> B(b(a(x1:S))) 24.97/25.08 B(b(a(a(x1:S)))) -> B(b(b(a(x1:S)))) 24.97/25.08 -> Rules: 24.97/25.08 a(b(b(a(x1:S)))) -> b(a(a(b(x1:S)))) 24.97/25.08 a(b(b(b(x1:S)))) -> a(a(a(b(x1:S)))) 24.97/25.08 b(b(a(a(x1:S)))) -> b(b(b(a(x1:S)))) 24.97/25.08 ->Strongly Connected Components: 24.97/25.08 ->->Cycle: 24.97/25.08 ->->-> Pairs: 24.97/25.08 B(b(a(a(x1:S)))) -> B(a(x1:S)) 24.97/25.08 B(b(a(a(x1:S)))) -> B(b(a(x1:S))) 24.97/25.08 B(b(a(a(x1:S)))) -> B(b(b(a(x1:S)))) 24.97/25.08 ->->-> Rules: 24.97/25.08 a(b(b(a(x1:S)))) -> b(a(a(b(x1:S)))) 24.97/25.08 a(b(b(b(x1:S)))) -> a(a(a(b(x1:S)))) 24.97/25.08 b(b(a(a(x1:S)))) -> b(b(b(a(x1:S)))) 24.97/25.08 ->->Cycle: 24.97/25.08 ->->-> Pairs: 24.97/25.08 A(b(b(a(x1:S)))) -> A(a(b(x1:S))) 24.97/25.08 A(b(b(a(x1:S)))) -> A(b(x1:S)) 24.97/25.08 A(b(b(b(x1:S)))) -> A(a(a(b(x1:S)))) 24.97/25.08 A(b(b(b(x1:S)))) -> A(a(b(x1:S))) 24.97/25.08 A(b(b(b(x1:S)))) -> A(b(x1:S)) 24.97/25.08 ->->-> Rules: 24.97/25.08 a(b(b(a(x1:S)))) -> b(a(a(b(x1:S)))) 24.97/25.08 a(b(b(b(x1:S)))) -> a(a(a(b(x1:S)))) 24.97/25.08 b(b(a(a(x1:S)))) -> b(b(b(a(x1:S)))) 24.97/25.08 24.97/25.08 24.97/25.08 The problem is decomposed in 2 subproblems. 24.97/25.08 24.97/25.08 Problem 1.1: 24.97/25.08 24.97/25.08 Reduction Pair Processor: 24.97/25.08 -> Pairs: 24.97/25.08 B(b(a(a(x1:S)))) -> B(a(x1:S)) 24.97/25.08 B(b(a(a(x1:S)))) -> B(b(a(x1:S))) 24.97/25.08 B(b(a(a(x1:S)))) -> B(b(b(a(x1:S)))) 24.97/25.08 -> Rules: 24.97/25.08 a(b(b(a(x1:S)))) -> b(a(a(b(x1:S)))) 24.97/25.08 a(b(b(b(x1:S)))) -> a(a(a(b(x1:S)))) 24.97/25.08 b(b(a(a(x1:S)))) -> b(b(b(a(x1:S)))) 24.97/25.08 -> Usable rules: 24.97/25.08 a(b(b(a(x1:S)))) -> b(a(a(b(x1:S)))) 24.97/25.08 a(b(b(b(x1:S)))) -> a(a(a(b(x1:S)))) 24.97/25.08 b(b(a(a(x1:S)))) -> b(b(b(a(x1:S)))) 24.97/25.08 ->Interpretation type: 24.97/25.08 Linear 24.97/25.08 ->Coefficients: 24.97/25.08 Natural Numbers 24.97/25.08 ->Dimension: 24.97/25.08 1 24.97/25.08 ->Bound: 24.97/25.08 2 24.97/25.08 ->Interpretation: 24.97/25.08 24.97/25.08 [a](X) = 2.X + 2 24.97/25.08 [b](X) = 2.X + 2 popout

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all output return to SRS_Standard 2019-03-29 03.29