details

property	value
status	complete
benchmark	t001.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n185.star.cs.uiowa.edu
space	HirokawaMiddeldorp_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0848401 seconds
cpu usage	0.035951
user time	0.018106
system time	0.017845
max virtual memory	113188.0
max residence set size	9276.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: -(x,0()) -> x 2: -(s(x),s(y)) -> -(x,y) 3: *(x,0()) -> 0() 4: *(x,s(y)) -> +(*(x,y),x) 5: if(true(),x,y) -> x 6: if(false(),x,y) -> y 7: odd(0()) -> false() 8: odd(s(0())) -> true() 9: odd(s(s(x))) -> odd(x) 10: half(0()) -> 0() 11: half(s(0())) -> 0() 12: half(s(s(x))) -> s(half(x)) 13: if(true(),x,y) -> true() 14: if(false(),x,y) -> false() 15: pow(x,y) -> f(x,y,s(0())) 16: f(x,0(),z) -> z 17: f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) Number of strict rules: 17 Direct POLO(bPol) ... failed. Uncurrying half odd 1: -(x,0()) -> x 2: -(s(x),s(y)) -> -(x,y) 3: *(x,0()) -> 0() 4: *(x,s(y)) -> +(*(x,y),x) 5: if(true(),x,y) -> x 6: if(false(),x,y) -> y 7: odd^1_0() -> false() 8: odd^1_s(0()) -> true() 9: odd^1_s(s(x)) -> odd(x) 10: half^1_0() -> 0() 11: half^1_s(0()) -> 0() 12: half^1_s(s(x)) -> s(half(x)) 13: if(true(),x,y) -> true() 14: if(false(),x,y) -> false() 15: pow(x,y) -> f(x,y,s(0())) 16: f(x,0(),z) -> z 17: f(x,s(y),z) -> if(odd^1_s(y),f(x,y,*(x,z)),f(*(x,x),half^1_s(y),z)) 18: odd(0()) ->= odd^1_0() 19: odd(s(_1)) ->= odd^1_s(_1) 20: half(0()) ->= half^1_0() 21: half(s(_1)) ->= half^1_s(_1) Number of strict rules: 17 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #-(s(x),s(y)) -> #-(x,y) #2: #odd^1_s(s(x)) -> #odd(x) #3: #half^1_s(s(x)) -> #half(x) #4: #half(0()) ->? #half^1_0() #5: #f(x,s(y),z) -> #if(odd^1_s(y),f(x,y,*(x,z)),f(*(x,x),half^1_s(y),z)) #6: #f(x,s(y),z) -> #odd^1_s(y) #7: #f(x,s(y),z) -> #f(x,y,*(x,z)) #8: #f(x,s(y),z) -> #*(x,z) #9: #f(x,s(y),z) -> #f(*(x,x),half^1_s(y),z) #10: #f(x,s(y),z) -> #*(x,x) #11: #f(x,s(y),z) -> #half^1_s(y) #12: #odd(s(_1)) ->? #odd^1_s(_1) #13: #half(s(_1)) ->? #half^1_s(_1) #14: #pow(x,y) -> #f(x,y,s(0())) #15: #*(x,s(y)) -> #*(x,y) #16: #odd(0()) ->? #odd^1_0() Number of SCCs: 5, DPs: 8 SCC { #15 } POLO(Sum)... succeeded. s w: x1 + 1 pow w: 0 false w: 0 #* w: x2 #half w: 0 #odd^1_0 w: 0 half^1_s w: 0 true w: 0 #pow w: 0 f w: 0 half w: 0 odd^1_0 w: 0 0 w: 0 if w: 0 #half^1_s w: 0 - w: 0 #f w: 0 odd^1_s w: 0 #odd^1_s w: 0 #odd w: 0 half^1_0 w: 0 odd w: 0 #- w: 0 #if w: 0 #half^1_0 w: 0 + w: 0 * w: 0 USABLE RULES: { } Removed DPs: #15 Number of SCCs: 4, DPs: 7 SCC { #1 } POLO(Sum)... succeeded. s w: x1 + 1 pow w: 0 false w: 0 popout

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