details

property	value
status	complete
benchmark	perfect.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	Mixed_TRS

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0331181 seconds
cpu usage	0.02068
user time	0.008925
system time	0.011755
max virtual memory	113188.0
max residence set size	5772.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: perfectp(0()) -> false() 2: perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) 3: f(0(),y,0(),u) -> true() 4: f(0(),y,s(z),u) -> false() 5: f(s(x),0(),z,u) -> f(x,u,minus(z,s(x)),u) 6: f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u)) Number of strict rules: 6 Direct POLO(bPol) ... failed. Uncurrying f 1: perfectp(0()) -> false() 2: perfectp(s(x)) -> f(x,s(0()),s(x),s(x)) 3: f^1_0(y,0(),u) -> true() 4: f^1_0(y,s(z),u) -> false() 5: f^1_s(x,0(),z,u) -> f(x,u,minus(z,s(x)),u) 6: f^1_s(x,s(y),z,u) -> if(le(x,y),f^1_s(x,minus(y,x),z,u),f(x,u,z,u)) 7: f(0(),_3,_4,_5) ->= f^1_0(_3,_4,_5) 8: f(s(_1),_4,_5,_6) ->= f^1_s(_1,_4,_5,_6) Number of strict rules: 6 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #perfectp(s(x)) -> #f(x,s(0()),s(x),s(x)) #2: #f^1_s(x,s(y),z,u) -> #f^1_s(x,minus(y,x),z,u) #3: #f^1_s(x,s(y),z,u) -> #f(x,u,z,u) #4: #f(0(),_3,_4,_5) ->? #f^1_0(_3,_4,_5) #5: #f^1_s(x,0(),z,u) -> #f(x,u,minus(z,s(x)),u) #6: #f(s(_1),_4,_5,_6) ->? #f^1_s(_1,_4,_5,_6) Number of SCCs: 1, DPs: 3 SCC { #3 #5 #6 } POLO(Sum)... succeeded. le w: 0 s w: x1 + 3 minus w: 1 #f^1_s w: x1 + x3 + 2 #perfectp w: 0 false w: 0 true w: 0 f w: 0 0 w: 1 if w: 0 #f w: x1 + x3 #f^1_0 w: 0 perfectp w: 0 f^1_0 w: 0 f^1_s w: 0 USABLE RULES: { } Removed DPs: #3 #5 #6 Number of SCCs: 0, DPs: 0 popout

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all output return to TRS Standard