details

property	value
status	complete
benchmark	2.46.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.069195 seconds
cpu usage	0.076625
user time	0.037939
system time	0.038686
max virtual memory	113188.0
max residence set size	5504.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(a(x:S)) -> B(b(x:S)) A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) -> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) Problem 1: SCC Processor: -> Pairs: A(a(x:S)) -> B(b(x:S)) A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) -> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(x:S)) -> B(b(x:S)) A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) ->->-> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) Problem 1: Reduction Pair Processor: -> Pairs: A(a(x:S)) -> B(b(x:S)) A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) -> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) -> Usable rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 2.X + 1 [b](X) = 2.X [A](X) = 2.X + 2 [B](X) = 2.X + 2 Problem 1: SCC Processor: -> Pairs: A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) -> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(x:S)) -> B(x:S) B(b(a(x:S))) -> A(b(b(x:S))) B(b(a(x:S))) -> B(b(x:S)) B(b(a(x:S))) -> B(x:S) ->->-> Rules: a(a(x:S)) -> b(b(x:S)) b(b(a(x:S))) -> a(b(b(x:S))) Problem 1: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Standard