details

property	value
status	complete
benchmark	2.21.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n192.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.015978 seconds
cpu usage	0.016469
user time	0.008666
system time	0.007803
max virtual memory	113188.0
max residence set size	4240.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES bin(0,s(y:S)) -> 0 bin(s(x:S),s(y:S)) -> +(bin(x:S,s(y:S)),bin(x:S,y:S)) bin(x:S,0) -> s(0) ) Problem 1: Innermost Equivalent Processor: -> Rules: bin(0,s(y:S)) -> 0 bin(s(x:S),s(y:S)) -> +(bin(x:S,s(y:S)),bin(x:S,y:S)) bin(x:S,0) -> s(0) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: BIN(s(x:S),s(y:S)) -> BIN(x:S,s(y:S)) BIN(s(x:S),s(y:S)) -> BIN(x:S,y:S) -> Rules: bin(0,s(y:S)) -> 0 bin(s(x:S),s(y:S)) -> +(bin(x:S,s(y:S)),bin(x:S,y:S)) bin(x:S,0) -> s(0) Problem 1: SCC Processor: -> Pairs: BIN(s(x:S),s(y:S)) -> BIN(x:S,s(y:S)) BIN(s(x:S),s(y:S)) -> BIN(x:S,y:S) -> Rules: bin(0,s(y:S)) -> 0 bin(s(x:S),s(y:S)) -> +(bin(x:S,s(y:S)),bin(x:S,y:S)) bin(x:S,0) -> s(0) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: BIN(s(x:S),s(y:S)) -> BIN(x:S,s(y:S)) BIN(s(x:S),s(y:S)) -> BIN(x:S,y:S) ->->-> Rules: bin(0,s(y:S)) -> 0 bin(s(x:S),s(y:S)) -> +(bin(x:S,s(y:S)),bin(x:S,y:S)) bin(x:S,0) -> s(0) Problem 1: Subterm Processor: -> Pairs: BIN(s(x:S),s(y:S)) -> BIN(x:S,s(y:S)) BIN(s(x:S),s(y:S)) -> BIN(x:S,y:S) -> Rules: bin(0,s(y:S)) -> 0 bin(s(x:S),s(y:S)) -> +(bin(x:S,s(y:S)),bin(x:S,y:S)) bin(x:S,0) -> s(0) ->Projection: pi(BIN) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: bin(0,s(y:S)) -> 0 bin(s(x:S),s(y:S)) -> +(bin(x:S,s(y:S)),bin(x:S,y:S)) bin(x:S,0) -> s(0) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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