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	n146.star.cs.uiowa.edu
space	AG01_innermost

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0175869 seconds
cpu usage	0.016884
user time	0.006219
system time	0.010665
max virtual memory	0.0
max residence set size	4248.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) -> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) Problem 1: SCC Processor: -> Pairs: QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) -> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) ->->-> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) Problem 1: Subterm Processor: -> Pairs: QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) -> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) ->Projection: pi(QUOT) = 1 Problem 1: SCC Processor: -> Pairs: QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S)) -> Rules: quot(0,s(y:S),s(z:S)) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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job log

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actions

all output return to TRS Innermost