details

property	value
status	complete
benchmark	improved_usable2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	AProVE_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.045991 seconds
cpu usage	0.033802
user time	0.012631
system time	0.021171
max virtual memory	113188.0
max residence set size	4728.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES f(a,x:S) -> f(g(x:S),x:S) g(h(x:S)) -> g(x:S) h(g(x:S)) -> h(a) h(h(x:S)) -> x:S ) Problem 1: Dependency Pairs Processor: -> Pairs: F(a,x:S) -> F(g(x:S),x:S) F(a,x:S) -> G(x:S) G(h(x:S)) -> G(x:S) -> Rules: f(a,x:S) -> f(g(x:S),x:S) g(h(x:S)) -> g(x:S) h(g(x:S)) -> h(a) h(h(x:S)) -> x:S Problem 1: SCC Processor: -> Pairs: F(a,x:S) -> F(g(x:S),x:S) F(a,x:S) -> G(x:S) G(h(x:S)) -> G(x:S) -> Rules: f(a,x:S) -> f(g(x:S),x:S) g(h(x:S)) -> g(x:S) h(g(x:S)) -> h(a) h(h(x:S)) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(h(x:S)) -> G(x:S) ->->-> Rules: f(a,x:S) -> f(g(x:S),x:S) g(h(x:S)) -> g(x:S) h(g(x:S)) -> h(a) h(h(x:S)) -> x:S ->->Cycle: ->->-> Pairs: F(a,x:S) -> F(g(x:S),x:S) ->->-> Rules: f(a,x:S) -> f(g(x:S),x:S) g(h(x:S)) -> g(x:S) h(g(x:S)) -> h(a) h(h(x:S)) -> x:S The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: G(h(x:S)) -> G(x:S) -> Rules: f(a,x:S) -> f(g(x:S),x:S) g(h(x:S)) -> g(x:S) h(g(x:S)) -> h(a) h(h(x:S)) -> x:S ->Projection: pi(G) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: f(a,x:S) -> f(g(x:S),x:S) g(h(x:S)) -> g(x:S) h(g(x:S)) -> h(a) h(h(x:S)) -> x:S ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Reduction Pair Processor: -> Pairs: F(a,x:S) -> F(g(x:S),x:S) -> Rules: f(a,x:S) -> f(g(x:S),x:S) g(h(x:S)) -> g(x:S) h(g(x:S)) -> h(a) h(h(x:S)) -> x:S -> Usable rules: g(h(x:S)) -> g(x:S) ->Interpretation type: Linear popout

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

job log

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actions

all output return to TRS Standard