details

property	value
status	complete
benchmark	t003.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	HirokawaMiddeldorp_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0550969 seconds
cpu usage	0.031486
user time	0.016931
system time	0.014555
max virtual memory	113188.0
max residence set size	6416.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: -(x,0()) -> x 2: -(s(x),s(y)) -> -(x,y) 3: <=(0(),y) -> true() 4: <=(s(x),0()) -> false() 5: <=(s(x),s(y)) -> <=(x,y) 6: if(true(),x,y) -> x 7: if(false(),x,y) -> y 8: perfectp(0()) -> false() 9: perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) 10: f(0(),y,0(),u) -> true() 11: f(0(),y,s(z),u) -> false() 12: f(s(x),0(),z,u) -> f(x,u,-(z,s(x)),u) 13: f(s(x),s(y),z,u) -> if(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u)) Number of strict rules: 13 Direct POLO(bPol) ... failed. Uncurrying f 1: -(x,0()) -> x 2: -(s(x),s(y)) -> -(x,y) 3: <=(0(),y) -> true() 4: <=(s(x),0()) -> false() 5: <=(s(x),s(y)) -> <=(x,y) 6: if(true(),x,y) -> x 7: if(false(),x,y) -> y 8: perfectp(0()) -> false() 9: perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) 10: f^1_0(y,0(),u) -> true() 11: f^1_0(y,s(z),u) -> false() 12: f^1_s(x,0(),z,u) -> f(x,u,-(z,s(x)),u) 13: f^1_s(x,s(y),z,u) -> if(<=(x,y),f^1_s(x,-(y,x),z,u),f(x,u,z,u)) 14: f(0(),_3,_4,_5) ->= f^1_0(_3,_4,_5) 15: f(s(_1),_4,_5,_6) ->= f^1_s(_1,_4,_5,_6) Number of strict rules: 13 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #-(s(x),s(y)) -> #-(x,y) #2: #f^1_s(x,s(y),z,u) -> #if(<=(x,y),f^1_s(x,-(y,x),z,u),f(x,u,z,u)) #3: #f^1_s(x,s(y),z,u) -> #<=(x,y) #4: #f^1_s(x,s(y),z,u) -> #f^1_s(x,-(y,x),z,u) #5: #f^1_s(x,s(y),z,u) -> #-(y,x) #6: #f^1_s(x,s(y),z,u) -> #f(x,u,z,u) #7: #perfectp(s(x)) -> #f(x,s(0()),s(x),s(x)) #8: #f^1_s(x,0(),z,u) -> #f(x,u,-(z,s(x)),u) #9: #f^1_s(x,0(),z,u) -> #-(z,s(x)) #10: #f(0(),_3,_4,_5) ->? #f^1_0(_3,_4,_5) #11: #<=(s(x),s(y)) -> #<=(x,y) #12: #f(s(_1),_4,_5,_6) ->? #f^1_s(_1,_4,_5,_6) Number of SCCs: 3, DPs: 6 SCC { #11 } POLO(Sum)... succeeded. s w: x1 + 1 <= w: 0 #f^1_s w: 0 #perfectp w: 0 false w: 0 #<= w: x2 true w: 0 f w: 0 0 w: 0 if w: 0 - w: 0 #f w: 0 #f^1_0 w: 0 #- w: 0 #if w: 0 perfectp w: 0 f^1_0 w: 0 f^1_s w: 0 USABLE RULES: { } Removed DPs: #11 Number of SCCs: 2, DPs: 5 SCC { #1 } POLO(Sum)... succeeded. s w: x1 + 1 <= w: 0 #f^1_s w: 0 #perfectp w: 0 false w: 0 #<= w: 0 true w: 0 f w: 0 0 w: 0 if w: 0 - w: 0 #f w: 0 #f^1_0 w: 0 #- w: x2 #if w: 0 perfectp w: 0 f^1_0 w: 0 f^1_s w: 0 USABLE RULES: { } Removed DPs: #1 Number of SCCs: 1, DPs: 4 SCC { #4 #6 #8 #12 } POLO(Sum)... succeeded. s w: x1 + 2 <= w: 0 #f^1_s w: x1 + 1 popout

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actions

all output return to TRS Standard