details

property	value
status	complete
benchmark	thiemann35.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0979639 seconds
cpu usage	0.039841
user time	0.0202
system time	0.019641
max virtual memory	113188.0
max residence set size	6728.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: a(a(append(),nil()),ys) -> ys 2: a(a(append(),a(a(cons(),x),xs)),ys) -> a(a(cons(),x),a(a(append(),xs),ys)) 3: a(a(filter(),f),nil()) -> nil() 4: a(a(filter(),f),a(a(cons(),x),xs)) -> a(a(a(if(),a(f,x)),x),a(a(filter(),f),xs)) 5: a(a(le(),0()),y) -> true() 6: a(a(le(),a(s(),x)),0()) -> false() 7: a(a(le(),a(s(),x)),a(s(),y)) -> a(a(le(),x),y) 8: a(a(a(if(),true()),x),xs) -> a(a(cons(),x),xs) 9: a(a(a(if(),false()),x),xs) -> xs 10: a(a(not(),f),b) -> a(not2(),a(f,b)) 11: a(not2(),true()) -> false() 12: a(not2(),false()) -> true() 13: a(qs(),nil()) -> nil() 14: a(qs(),a(a(cons(),x),xs)) -> a(a(append(),a(qs(),a(a(filter(),a(le(),x)),xs))),a(a(cons(),x),a(qs(),a(a(filter(),a(not(),a(le(),x))),xs)))) Number of strict rules: 14 Direct POLO(bPol) ... failed. Uncurrying a 1: a^2_append(nil(),ys) -> ys 2: a^2_append(a^2_cons(x,xs),ys) -> a^2_cons(x,a^2_append(xs,ys)) 3: a^2_filter(f,nil()) -> nil() 4: a^2_filter(f,a^2_cons(x,xs)) -> a^3_if(a(f,x),x,a^2_filter(f,xs)) 5: a^2_le(0(),y) -> true() 6: a^2_le(a^1_s(x),0()) -> false() 7: a^2_le(a^1_s(x),a^1_s(y)) -> a^2_le(x,y) 8: a^3_if(true(),x,xs) -> a^2_cons(x,xs) 9: a^3_if(false(),x,xs) -> xs 10: a^2_not(f,b) -> a^1_not2(a(f,b)) 11: a^1_not2(true()) -> false() 12: a^1_not2(false()) -> true() 13: a^1_qs(nil()) -> nil() 14: a^1_qs(a^2_cons(x,xs)) -> a^2_append(a^1_qs(a^2_filter(a^1_le(x),xs)),a^2_cons(x,a^1_qs(a^2_filter(a^1_not(a^1_le(x)),xs)))) 15: a(qs(),_1) ->= a^1_qs(_1) 16: a(le(),_1) ->= a^1_le(_1) 17: a(a^1_le(_1),_2) ->= a^2_le(_1,_2) 18: a(append(),_1) ->= a^1_append(_1) 19: a(a^1_append(_1),_2) ->= a^2_append(_1,_2) 20: a(if(),_1) ->= a^1_if(_1) 21: a(a^1_if(_1),_2) ->= a^2_if(_1,_2) 22: a(a^2_if(_1,_2),_3) ->= a^3_if(_1,_2,_3) 23: a(cons(),_1) ->= a^1_cons(_1) 24: a(a^1_cons(_1),_2) ->= a^2_cons(_1,_2) 25: a(s(),_1) ->= a^1_s(_1) 26: a(filter(),_1) ->= a^1_filter(_1) 27: a(a^1_filter(_1),_2) ->= a^2_filter(_1,_2) 28: a(not2(),_1) ->= a^1_not2(_1) 29: a(not(),_1) ->= a^1_not(_1) 30: a(a^1_not(_1),_2) ->= a^2_not(_1,_2) Number of strict rules: 14 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #a^2_append(a^2_cons(x,xs),ys) -> #a^2_append(xs,ys) #2: #a^1_qs(a^2_cons(x,xs)) -> #a^2_append(a^1_qs(a^2_filter(a^1_le(x),xs)),a^2_cons(x,a^1_qs(a^2_filter(a^1_not(a^1_le(x)),xs)))) #3: #a^1_qs(a^2_cons(x,xs)) -> #a^1_qs(a^2_filter(a^1_le(x),xs)) #4: #a^1_qs(a^2_cons(x,xs)) -> #a^2_filter(a^1_le(x),xs) #5: #a^1_qs(a^2_cons(x,xs)) -> #a^1_qs(a^2_filter(a^1_not(a^1_le(x)),xs)) #6: #a^1_qs(a^2_cons(x,xs)) -> #a^2_filter(a^1_not(a^1_le(x)),xs) #7: #a(a^1_not(_1),_2) ->? #a^2_not(_1,_2) #8: #a^2_le(a^1_s(x),a^1_s(y)) -> #a^2_le(x,y) #9: #a^2_not(f,b) -> #a^1_not2(a(f,b)) #10: #a^2_not(f,b) -> #a(f,b) #11: #a(not2(),_1) ->? #a^1_not2(_1) #12: #a(a^2_if(_1,_2),_3) ->? #a^3_if(_1,_2,_3) #13: #a(a^1_filter(_1),_2) ->? #a^2_filter(_1,_2) #14: #a(a^1_le(_1),_2) ->? #a^2_le(_1,_2) #15: #a(a^1_append(_1),_2) ->? #a^2_append(_1,_2) #16: #a(qs(),_1) ->? #a^1_qs(_1) #17: #a^2_filter(f,a^2_cons(x,xs)) -> #a^3_if(a(f,x),x,a^2_filter(f,xs)) #18: #a^2_filter(f,a^2_cons(x,xs)) -> #a(f,x) #19: #a^2_filter(f,a^2_cons(x,xs)) -> #a^2_filter(f,xs) Number of SCCs: 3, DPs: 12 SCC { #8 } POLO(Sum)... succeeded. a w: 0 le w: 0 a^1_qs w: 0 s w: 0 a^1_cons w: 0 #a^3_if w: 0 a^1_append w: 0 #a^2_le w: x2 a^1_if w: 0 #a^1_not2 w: 0 a^2_filter w: 0 false w: 0 #a^2_append w: 0 a^3_if w: 0 a^2_le w: 0 a^2_not w: 0 a^1_not w: 0 true w: 0 a^2_append w: 0 a^2_cons w: 0 #a^2_filter w: 0 qs w: 0 a^2_if w: 0 append w: 0 if w: 0 0 w: 0 popout

output may be truncated. 'popout' for the full output.

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all output return to TRS Standard