details

property	value
status	complete
benchmark	Ex7_9.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	Applicative_05

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0857779 seconds
cpu usage	0.041505
user time	0.025812
system time	0.015693
max virtual memory	113188.0
max residence set size	7736.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: app(app(app(if(),true()),xs),ys) -> xs 2: app(app(app(if(),false()),xs),ys) -> ys 3: app(app(sub(),x),0()) -> x 4: app(app(sub(),app(s(),x)),app(s(),y)) -> app(app(sub(),x),y) 5: app(app(gtr(),0()),y) -> false() 6: app(app(gtr(),app(s(),x)),0()) -> true() 7: app(app(gtr(),app(s(),x)),app(s(),y)) -> app(app(gtr(),x),y) 8: app(app(d(),x),0()) -> true() 9: app(app(d(),app(s(),x)),app(s(),y)) -> app(app(app(if(),app(app(gtr(),x),y)),false()),app(app(d(),app(s(),x)),app(app(sub(),y),x))) 10: app(len(),nil()) -> 0() 11: app(len(),app(app(cons(),x),xs)) -> app(s(),app(len(),xs)) 12: app(app(filter(),p),nil()) -> nil() 13: app(app(filter(),p),app(app(cons(),x),xs)) -> app(app(app(if(),app(p,x)),app(app(cons(),x),app(app(filter(),p),xs))),app(app(filter(),p),xs)) Number of strict rules: 13 Direct POLO(bPol) ... failed. Uncurrying app 1: app^3_if(true(),xs,ys) -> xs 2: app^3_if(false(),xs,ys) -> ys 3: app^2_sub(x,0()) -> x 4: app^2_sub(app^1_s(x),app^1_s(y)) -> app^2_sub(x,y) 5: app^2_gtr(0(),y) -> false() 6: app^2_gtr(app^1_s(x),0()) -> true() 7: app^2_gtr(app^1_s(x),app^1_s(y)) -> app^2_gtr(x,y) 8: app^2_d(x,0()) -> true() 9: app^2_d(app^1_s(x),app^1_s(y)) -> app^3_if(app^2_gtr(x,y),false(),app^2_d(app^1_s(x),app^2_sub(y,x))) 10: app^1_len(nil()) -> 0() 11: app^1_len(app^2_cons(x,xs)) -> app^1_s(app^1_len(xs)) 12: app^2_filter(p,nil()) -> nil() 13: app^2_filter(p,app^2_cons(x,xs)) -> app^3_if(app(p,x),app^2_cons(x,app^2_filter(p,xs)),app^2_filter(p,xs)) 14: app(if(),_1) ->= app^1_if(_1) 15: app(app^1_if(_1),_2) ->= app^2_if(_1,_2) 16: app(app^2_if(_1,_2),_3) ->= app^3_if(_1,_2,_3) 17: app(cons(),_1) ->= app^1_cons(_1) 18: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 19: app(d(),_1) ->= app^1_d(_1) 20: app(app^1_d(_1),_2) ->= app^2_d(_1,_2) 21: app(s(),_1) ->= app^1_s(_1) 22: app(filter(),_1) ->= app^1_filter(_1) 23: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2) 24: app(gtr(),_1) ->= app^1_gtr(_1) 25: app(app^1_gtr(_1),_2) ->= app^2_gtr(_1,_2) 26: app(len(),_1) ->= app^1_len(_1) 27: app(sub(),_1) ->= app^1_sub(_1) 28: app(app^1_sub(_1),_2) ->= app^2_sub(_1,_2) Number of strict rules: 13 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_filter(p,app^2_cons(x,xs)) -> #app^3_if(app(p,x),app^2_cons(x,app^2_filter(p,xs)),app^2_filter(p,xs)) #2: #app^2_filter(p,app^2_cons(x,xs)) -> #app(p,x) #3: #app^2_filter(p,app^2_cons(x,xs)) -> #app^2_filter(p,xs) #4: #app^2_filter(p,app^2_cons(x,xs)) -> #app^2_filter(p,xs) #5: #app^2_d(app^1_s(x),app^1_s(y)) -> #app^3_if(app^2_gtr(x,y),false(),app^2_d(app^1_s(x),app^2_sub(y,x))) #6: #app^2_d(app^1_s(x),app^1_s(y)) -> #app^2_gtr(x,y) #7: #app^2_d(app^1_s(x),app^1_s(y)) -> #app^2_d(app^1_s(x),app^2_sub(y,x)) #8: #app^2_d(app^1_s(x),app^1_s(y)) -> #app^2_sub(y,x) #9: #app^1_len(app^2_cons(x,xs)) -> #app^1_len(xs) #10: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2) #11: #app(app^1_gtr(_1),_2) ->? #app^2_gtr(_1,_2) #12: #app(app^1_d(_1),_2) ->? #app^2_d(_1,_2) #13: #app^2_gtr(app^1_s(x),app^1_s(y)) -> #app^2_gtr(x,y) #14: #app(app^1_sub(_1),_2) ->? #app^2_sub(_1,_2) #15: #app(len(),_1) ->? #app^1_len(_1) #16: #app(app^2_if(_1,_2),_3) ->? #app^3_if(_1,_2,_3) #17: #app^2_sub(app^1_s(x),app^1_s(y)) -> #app^2_sub(x,y) Number of SCCs: 5, DPs: 8 SCC { #9 } POLO(Sum)... succeeded. #app^3_if w: 0 d w: 0 s w: 0 app^1_cons w: 0 app^1_sub w: 0 #app^1_len w: x1 #app^2_d w: 0 false w: 0 gtr w: 0 app^2_sub w: 0 sub w: 0 true w: 0 if w: 0 0 w: 0 nil w: 0 app^2_d w: 0 #app w: 0 app^1_filter w: 0 app^2_gtr w: 0 cons w: 0 app^2_if w: 0 app^3_if w: 0 #app^2_gtr w: 0 filter w: 0 #app^2_sub w: 0 app^1_d w: 0 app^2_filter w: 0 app^1_len w: 0 len w: 0 app^2_cons w: x2 + 1 app^1_if w: 0 popout

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

job log

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actions

all output return to TRS Standard