details

property	value
status	complete
benchmark	IJCAR_12.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	AProVE_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0494109 seconds
cpu usage	0.040522
user time	0.015524
system time	0.024998
max virtual memory	113188.0
max residence set size	5848.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES div(div(x:S,y:S),z:S) -> div(x:S,times(y:S,z:S)) div(0,y:S) -> 0 div(x:S,y:S) -> quot(x:S,y:S,y:S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> s(plus(x:S,y:S)) plus(x:S,0) -> x:S quot(0,s(y: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(div(x:S,s(z:S))) times(0,y:S) -> 0 times(s(0),y:S) -> y:S times(s(x:S),y:S) -> plus(y:S,times(x:S,y:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: DIV(div(x:S,y:S),z:S) -> DIV(x:S,times(y:S,z:S)) DIV(div(x:S,y:S),z:S) -> TIMES(y:S,z:S) DIV(x:S,y:S) -> QUOT(x:S,y:S,y:S) PLUS(s(x:S),y:S) -> PLUS(x:S,y:S) QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> DIV(x:S,s(z:S)) TIMES(s(x:S),y:S) -> PLUS(y:S,times(x:S,y:S)) TIMES(s(x:S),y:S) -> TIMES(x:S,y:S) -> Rules: div(div(x:S,y:S),z:S) -> div(x:S,times(y:S,z:S)) div(0,y:S) -> 0 div(x:S,y:S) -> quot(x:S,y:S,y:S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> s(plus(x:S,y:S)) plus(x:S,0) -> x:S quot(0,s(y: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(div(x:S,s(z:S))) times(0,y:S) -> 0 times(s(0),y:S) -> y:S times(s(x:S),y:S) -> plus(y:S,times(x:S,y:S)) Problem 1: SCC Processor: -> Pairs: DIV(div(x:S,y:S),z:S) -> DIV(x:S,times(y:S,z:S)) DIV(div(x:S,y:S),z:S) -> TIMES(y:S,z:S) DIV(x:S,y:S) -> QUOT(x:S,y:S,y:S) PLUS(s(x:S),y:S) -> PLUS(x:S,y:S) QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S) QUOT(x:S,0,s(z:S)) -> DIV(x:S,s(z:S)) TIMES(s(x:S),y:S) -> PLUS(y:S,times(x:S,y:S)) TIMES(s(x:S),y:S) -> TIMES(x:S,y:S) -> Rules: div(div(x:S,y:S),z:S) -> div(x:S,times(y:S,z:S)) div(0,y:S) -> 0 div(x:S,y:S) -> quot(x:S,y:S,y:S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> s(plus(x:S,y:S)) plus(x:S,0) -> x:S quot(0,s(y: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(div(x:S,s(z:S))) times(0,y:S) -> 0 times(s(0),y:S) -> y:S times(s(x:S),y:S) -> plus(y:S,times(x:S,y:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(s(x:S),y:S) -> PLUS(x:S,y:S) ->->-> Rules: div(div(x:S,y:S),z:S) -> div(x:S,times(y:S,z:S)) div(0,y:S) -> 0 div(x:S,y:S) -> quot(x:S,y:S,y:S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> s(plus(x:S,y:S)) plus(x:S,0) -> x:S quot(0,s(y: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(div(x:S,s(z:S))) times(0,y:S) -> 0 times(s(0),y:S) -> y:S times(s(x:S),y:S) -> plus(y:S,times(x:S,y:S)) ->->Cycle: ->->-> Pairs: TIMES(s(x:S),y:S) -> TIMES(x:S,y:S) ->->-> Rules: div(div(x:S,y:S),z:S) -> div(x:S,times(y:S,z:S)) div(0,y:S) -> 0 div(x:S,y:S) -> quot(x:S,y:S,y:S) plus(0,y:S) -> y:S plus(s(x:S),y:S) -> s(plus(x:S,y:S)) plus(x:S,0) -> x:S quot(0,s(y:S),z:S) -> 0 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S) popout

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