details

property	value
status	complete
benchmark	#3.35.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n180.star.cs.uiowa.edu
space	AG01

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.019313 seconds
cpu usage	0.018906
user time	0.00205
system time	0.016856
max virtual memory	0.0
max residence set size	4224.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(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(s(x:S)) -> G(x:S) G(s(x:S)) -> F(x:S) -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) Problem 1: SCC Processor: -> Pairs: F(s(x:S)) -> G(x:S) G(s(x:S)) -> F(x:S) -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(s(x:S)) -> G(x:S) G(s(x:S)) -> F(x:S) ->->-> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) Problem 1: Subterm Processor: -> Pairs: F(s(x:S)) -> G(x:S) G(s(x:S)) -> F(x:S) -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) ->Projection: pi(F) = 1 pi(G) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(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

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actions

all output return to TRS Standard