details

property	value
status	complete
benchmark	IJCAR_18.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n191.star.cs.uiowa.edu
space	AProVE_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.098988 seconds
cpu usage	0.042231
user time	0.024597
system time	0.017634
max virtual memory	113188.0
max residence set size	9248.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: plus(x,0()) -> x 2: plus(0(),y) -> y 3: plus(s(x),y) -> s(plus(x,y)) 4: times(0(),y) -> 0() 5: times(s(0()),y) -> y 6: times(s(x),y) -> plus(y,times(x,y)) 7: div(0(),y) -> 0() 8: div(x,y) -> quot(x,y,y) 9: quot(0(),s(y),z) -> 0() 10: quot(s(x),s(y),z) -> quot(x,y,z) 11: quot(x,0(),s(z)) -> s(div(x,s(z))) 12: div(div(x,y),z) -> div(x,times(y,z)) 13: eq(0(),0()) -> true() 14: eq(s(x),0()) -> false() 15: eq(0(),s(y)) -> false() 16: eq(s(x),s(y)) -> eq(x,y) 17: divides(y,x) -> eq(x,times(div(x,y),y)) 18: prime(s(s(x))) -> pr(s(s(x)),s(x)) 19: pr(x,s(0())) -> true() 20: pr(x,s(s(y))) -> if(divides(s(s(y)),x),x,s(y)) 21: if(true(),x,y) -> false() 22: if(false(),x,y) -> pr(x,y) Number of strict rules: 22 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #times(s(x),y) -> #plus(y,times(x,y)) #2: #times(s(x),y) -> #times(x,y) #3: #quot(x,0(),s(z)) -> #div(x,s(z)) #4: #div(div(x,y),z) -> #div(x,times(y,z)) #5: #div(div(x,y),z) -> #times(y,z) #6: #pr(x,s(s(y))) -> #if(divides(s(s(y)),x),x,s(y)) #7: #pr(x,s(s(y))) -> #divides(s(s(y)),x) #8: #quot(s(x),s(y),z) -> #quot(x,y,z) #9: #if(false(),x,y) -> #pr(x,y) #10: #divides(y,x) -> #eq(x,times(div(x,y),y)) #11: #divides(y,x) -> #times(div(x,y),y) #12: #divides(y,x) -> #div(x,y) #13: #eq(s(x),s(y)) -> #eq(x,y) #14: #plus(s(x),y) -> #plus(x,y) #15: #div(x,y) -> #quot(x,y,y) #16: #prime(s(s(x))) -> #pr(s(s(x)),s(x)) Number of SCCs: 5, DPs: 9 SCC { #2 } POLO(Sum)... succeeded. #div w: 0 s w: x1 + 1 prime w: 0 #plus w: 0 #pr w: 0 eq w: 0 false w: 0 div w: 0 true w: 0 #eq w: 0 #prime w: 0 #times w: x1 0 w: 0 if w: 0 quot w: 0 times w: 0 pr w: 0 #divides w: 0 plus w: 0 #if w: 0 #quot w: 0 divides w: 0 USABLE RULES: { } Removed DPs: #2 Number of SCCs: 4, DPs: 8 SCC { #14 } POLO(Sum)... succeeded. #div w: 0 s w: x1 + 1 prime w: 0 #plus w: x1 #pr w: 0 eq w: 0 false w: 0 div w: 0 true w: 0 #eq w: 0 #prime w: 0 #times w: 0 0 w: 0 if w: 0 quot w: 0 times w: 0 pr w: 0 #divides w: 0 plus w: 0 #if w: 0 #quot w: 0 divides w: 0 USABLE RULES: { } Removed DPs: #14 Number of SCCs: 3, DPs: 7 SCC { #13 } popout

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