details

property	value
status	complete
benchmark	jw43.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n173.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	2.43015 seconds
cpu usage	2.3617
user time	2.28799
system time	0.073713
max virtual memory	708636.0
max residence set size	6344.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES f(x:S,f(f(a,a),a)) -> f(f(a,f(a,a)),x:S) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(x:S,f(f(a,a),a)) -> f(f(a,f(a,a)),x:S) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(x:S,f(f(a,a),a)) -> F(f(a,f(a,a)),x:S) -> Rules: f(x:S,f(f(a,a),a)) -> f(f(a,f(a,a)),x:S) Problem 1: SCC Processor: -> Pairs: F(x:S,f(f(a,a),a)) -> F(f(a,f(a,a)),x:S) -> Rules: f(x:S,f(f(a,a),a)) -> f(f(a,f(a,a)),x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(x:S,f(f(a,a),a)) -> F(f(a,f(a,a)),x:S) ->->-> Rules: f(x:S,f(f(a,a),a)) -> f(f(a,f(a,a)),x:S) Problem 1: Reduction Pairs Processor: -> Pairs: F(x:S,f(f(a,a),a)) -> F(f(a,f(a,a)),x:S) -> Rules: f(x:S,f(f(a,a),a)) -> f(f(a,f(a,a)),x:S) -> Usable rules: f(x:S,f(f(a,a),a)) -> f(f(a,f(a,a)),x:S) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 2 ->Bound: 1 ->Interpretation: [f](X1,X2) = [1 1;0 0].X1 + [1 0;0 0].X2 + [0;1] [a] = [1;0] [fSNonEmpty] = 0 [F](X1,X2) = [1 1;1 1].X1 + [1 1;1 1].X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(x:S,f(f(a,a),a)) -> f(f(a,f(a,a)),x:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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

job log

popout

actions

all output return to TRS Standard