details

property	value
status	complete
benchmark	wiehe08.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n173.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.193316 seconds
cpu usage	0.041024
user time	0.0203
system time	0.020724
max virtual memory	113188.0
max residence set size	7228.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: minus(x,0()) -> x 2: minus(s(x),s(y)) -> minus(x,y) 3: quot(0(),s(y)) -> 0() 4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 5: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 6: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 7: plus(zero(),y) -> y 8: plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) 9: id(x) -> x 10: if(true(),x,y) -> x 11: if(false(),x,y) -> y 12: not(x) -> if(x,false(),true()) 13: gt(s(x),zero()) -> true() 14: gt(zero(),y) -> false() 15: gt(s(x),s(y)) -> gt(x,y) Number of strict rules: 15 Direct POLO(bPol) ... failed. Uncurrying gt 1: minus(x,0()) -> x 2: minus(s(x),s(y)) -> minus(x,y) 3: quot(0(),s(y)) -> 0() 4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 5: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 6: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 7: plus(zero(),y) -> y 8: plus(id(x),s(y)) -> s(plus(x,if(gt^1_s(y,y),y,s(y)))) 9: id(x) -> x 10: if(true(),x,y) -> x 11: if(false(),x,y) -> y 12: not(x) -> if(x,false(),true()) 13: gt^1_s(x,zero()) -> true() 14: gt^1_zero(y) -> false() 15: gt^1_s(x,s(y)) -> gt(x,y) 16: gt(zero(),_1) ->= gt^1_zero(_1) 17: gt(s(_1),_2) ->= gt^1_s(_1,_2) Number of strict rules: 15 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #minus(s(x),s(y)) -> #minus(x,y) #2: #plus(s(x),x) -> #plus(if(gt(x,x),id(x),id(x)),s(x)) #3: #plus(s(x),x) -> #if(gt(x,x),id(x),id(x)) #4: #plus(s(x),x) -> #gt(x,x) #5: #plus(s(x),x) -> #id(x) #6: #plus(s(x),x) -> #id(x) #7: #not(x) -> #if(x,false(),true()) #8: #plus(s(x),s(y)) -> #plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) #9: #plus(s(x),s(y)) -> #if(gt(x,y),x,y) #10: #plus(s(x),s(y)) -> #gt(x,y) #11: #plus(s(x),s(y)) -> #if(not(gt(x,y)),id(x),id(y)) #12: #plus(s(x),s(y)) -> #not(gt(x,y)) #13: #plus(s(x),s(y)) -> #gt(x,y) #14: #plus(s(x),s(y)) -> #id(x) #15: #plus(s(x),s(y)) -> #id(y) #16: #gt(s(_1),_2) ->? #gt^1_s(_1,_2) #17: #gt(zero(),_1) ->? #gt^1_zero(_1) #18: #plus(id(x),s(y)) -> #plus(x,if(gt^1_s(y,y),y,s(y))) #19: #plus(id(x),s(y)) -> #if(gt^1_s(y,y),y,s(y)) #20: #plus(id(x),s(y)) -> #gt^1_s(y,y) #21: #gt^1_s(x,s(y)) -> #gt(x,y) #22: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) #23: #quot(s(x),s(y)) -> #minus(x,y) Number of SCCs: 4, DPs: 7 SCC { #1 } POLO(Sum)... succeeded. zero w: 0 s w: x1 + 1 gt w: 0 minus w: 0 #gt^1_zero w: 0 #plus w: 0 false w: 0 #id w: 0 gt^1_zero w: 0 true w: 0 #not w: 0 0 w: 0 if w: 0 quot w: 0 #gt w: 0 #minus w: x2 plus w: 0 gt^1_s w: 0 #if w: 0 id w: 0 #quot w: 0 #gt^1_s w: 0 not w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 3, DPs: 6 SCC { #22 } POLO(Sum)... succeeded. zero w: 0 s w: x1 + 2 gt w: 0 minus w: x1 + 1 #gt^1_zero w: 0 #plus w: 0 popout

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