details

property	value
status	complete
benchmark	z007.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0160219 seconds
cpu usage	0.016556
user time	0.009808
system time	0.006748
max virtual memory	113188.0
max residence set size	4180.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x1:S) (RULES a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(a(c(b(x1:S)))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(a(x1:S)) B(a(x1:S)) -> A(a(c(b(x1:S)))) B(a(x1:S)) -> A(c(b(x1:S))) B(a(x1:S)) -> B(x1:S) -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(a(c(b(x1:S)))) Problem 1: SCC Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) A(b(x1:S)) -> B(a(x1:S)) B(a(x1:S)) -> A(a(c(b(x1:S)))) B(a(x1:S)) -> A(c(b(x1:S))) B(a(x1:S)) -> B(x1:S) -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(a(c(b(x1:S)))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: B(a(x1:S)) -> B(x1:S) ->->-> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(a(c(b(x1:S)))) ->->Cycle: ->->-> Pairs: A(b(x1:S)) -> A(x1:S) ->->-> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(a(c(b(x1:S)))) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: B(a(x1:S)) -> B(x1:S) -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(a(c(b(x1:S)))) ->Projection: pi(B) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(a(c(b(x1:S)))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Subterm Processor: -> Pairs: A(b(x1:S)) -> A(x1:S) -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(a(c(b(x1:S)))) ->Projection: pi(A) = 1 Problem 1.2: SCC Processor: -> Pairs: Empty -> Rules: a(b(x1:S)) -> b(a(x1:S)) b(a(x1:S)) -> a(a(c(b(x1:S)))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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