details

property	value
status	complete
benchmark	#4.22.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n080.star.cs.uiowa.edu
space	Strategy_removed_AG01

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0194308757782 seconds
cpu usage	0.014020265
max memory	1486848.0

stage attributes

key	value
output-size	1893
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x y z) (RULES quot(0,s(y),s(z)) -> 0 quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0,s(z)) -> s(quot(x,s(z),s(z))) ) Problem 1: Innermost Equivalent Processor: -> Rules: quot(0,s(y),s(z)) -> 0 quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0,s(z)) -> s(quot(x,s(z),s(z))) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: QUOT(s(x),s(y),z) -> QUOT(x,y,z) QUOT(x,0,s(z)) -> QUOT(x,s(z),s(z)) -> Rules: quot(0,s(y),s(z)) -> 0 quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0,s(z)) -> s(quot(x,s(z),s(z))) Problem 1: SCC Processor: -> Pairs: QUOT(s(x),s(y),z) -> QUOT(x,y,z) QUOT(x,0,s(z)) -> QUOT(x,s(z),s(z)) -> Rules: quot(0,s(y),s(z)) -> 0 quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0,s(z)) -> s(quot(x,s(z),s(z))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: QUOT(s(x),s(y),z) -> QUOT(x,y,z) QUOT(x,0,s(z)) -> QUOT(x,s(z),s(z)) ->->-> Rules: quot(0,s(y),s(z)) -> 0 quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0,s(z)) -> s(quot(x,s(z),s(z))) Problem 1: Subterm Processor: -> Pairs: QUOT(s(x),s(y),z) -> QUOT(x,y,z) QUOT(x,0,s(z)) -> QUOT(x,s(z),s(z)) -> Rules: quot(0,s(y),s(z)) -> 0 quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0,s(z)) -> s(quot(x,s(z),s(z))) ->Projection: pi(QUOT) = 1 Problem 1: SCC Processor: -> Pairs: QUOT(x,0,s(z)) -> QUOT(x,s(z),s(z)) -> Rules: quot(0,s(y),s(z)) -> 0 quot(s(x),s(y),z) -> quot(x,y,z) quot(x,0,s(z)) -> s(quot(x,s(z),s(z))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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