details

property	value
status	complete
benchmark	ex5.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	AProVE_10

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.023528 seconds
cpu usage	0.017763
user time	0.004315
system time	0.013448
max virtual memory	0.0
max residence set size	4228.0

stage attributes

key	value
starexec-result	YES

output

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