details

property	value
status	complete
benchmark	hydra.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	Applicative_first_order_05

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.122631 seconds
cpu usage	0.046943
user time	0.024726
system time	0.022217
max virtual memory	113188.0
max residence set size	6504.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: app(f(),app(app(cons(),nil()),y)) -> y 2: app(f(),app(app(cons(),app(f(),app(app(cons(),nil()),y))),z)) -> app(app(app(copy(),n()),y),z) 3: app(app(app(copy(),0()),y),z) -> app(f(),z) 4: app(app(app(copy(),app(s(),x)),y),z) -> app(app(app(copy(),x),y),app(app(cons(),app(f(),y)),z)) 5: app(app(map(),fun),nil()) -> nil() 6: app(app(map(),fun),app(app(cons(),x),xs)) -> app(app(cons(),app(fun,x)),app(app(map(),fun),xs)) 7: app(app(filter(),fun),nil()) -> nil() 8: app(app(filter(),fun),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(fun,x)),fun),x),xs) 9: app(app(app(app(filter2(),true()),fun),x),xs) -> app(app(cons(),x),app(app(filter(),fun),xs)) 10: app(app(app(app(filter2(),false()),fun),x),xs) -> app(app(filter(),fun),xs) Number of strict rules: 10 Direct POLO(bPol) ... failed. Uncurrying app 1: app^1_f(app^2_cons(nil(),y)) -> y 2: app^1_f(app^2_cons(app^1_f(app^2_cons(nil(),y)),z)) -> app^3_copy(n(),y,z) 3: app^3_copy(0(),y,z) -> app^1_f(z) 4: app^3_copy(app^1_s(x),y,z) -> app^3_copy(x,y,app^2_cons(app^1_f(y),z)) 5: app^2_map(fun,nil()) -> nil() 6: app^2_map(fun,app^2_cons(x,xs)) -> app^2_cons(app(fun,x),app^2_map(fun,xs)) 7: app^2_filter(fun,nil()) -> nil() 8: app^2_filter(fun,app^2_cons(x,xs)) -> app^4_filter2(app(fun,x),fun,x,xs) 9: app^4_filter2(true(),fun,x,xs) -> app^2_cons(x,app^2_filter(fun,xs)) 10: app^4_filter2(false(),fun,x,xs) -> app^2_filter(fun,xs) 11: app(cons(),_1) ->= app^1_cons(_1) 12: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 13: app(s(),_1) ->= app^1_s(_1) 14: app(filter(),_1) ->= app^1_filter(_1) 15: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2) 16: app(map(),_1) ->= app^1_map(_1) 17: app(app^1_map(_1),_2) ->= app^2_map(_1,_2) 18: app(f(),_1) ->= app^1_f(_1) 19: app(filter2(),_1) ->= app^1_filter2(_1) 20: app(app^1_filter2(_1),_2) ->= app^2_filter2(_1,_2) 21: app(app^2_filter2(_1,_2),_3) ->= app^3_filter2(_1,_2,_3) 22: app(app^3_filter2(_1,_2,_3),_4) ->= app^4_filter2(_1,_2,_3,_4) 23: app(copy(),_1) ->= app^1_copy(_1) 24: app(app^1_copy(_1),_2) ->= app^2_copy(_1,_2) 25: app(app^2_copy(_1,_2),_3) ->= app^3_copy(_1,_2,_3) Number of strict rules: 10 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^1_f(app^2_cons(app^1_f(app^2_cons(nil(),y)),z)) -> #app^3_copy(n(),y,z) #2: #app^2_map(fun,app^2_cons(x,xs)) -> #app(fun,x) #3: #app^2_map(fun,app^2_cons(x,xs)) -> #app^2_map(fun,xs) #4: #app^4_filter2(true(),fun,x,xs) -> #app^2_filter(fun,xs) #5: #app(app^2_copy(_1,_2),_3) ->? #app^3_copy(_1,_2,_3) #6: #app^4_filter2(false(),fun,x,xs) -> #app^2_filter(fun,xs) #7: #app(app^3_filter2(_1,_2,_3),_4) ->? #app^4_filter2(_1,_2,_3,_4) #8: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2) #9: #app^3_copy(0(),y,z) -> #app^1_f(z) #10: #app^2_filter(fun,app^2_cons(x,xs)) -> #app^4_filter2(app(fun,x),fun,x,xs) #11: #app^2_filter(fun,app^2_cons(x,xs)) -> #app(fun,x) #12: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2) #13: #app^3_copy(app^1_s(x),y,z) -> #app^3_copy(x,y,app^2_cons(app^1_f(y),z)) #14: #app^3_copy(app^1_s(x),y,z) -> #app^1_f(y) #15: #app(f(),_1) ->? #app^1_f(_1) Number of SCCs: 2, DPs: 10 SCC { #13 } POLO(Sum)... succeeded. app^1_copy w: 0 #app^3_copy w: x1 + x3 s w: 0 app^1_cons w: 0 app^2_copy w: 0 n w: 1 #app^2_map w: 0 app^2_filter2 w: 0 app^4_filter2 w: 0 false w: 0 #app^1_f w: 0 app^1_filter2 w: 0 true w: 0 f w: 0 filter2 w: 0 0 w: 0 #app^4_filter2 w: 0 nil w: 1 #app w: 0 map w: 0 app^1_filter w: 0 cons w: 0 app^1_f w: x1 + 1 filter w: 0 app^3_filter2 w: 0 app^2_filter w: 0 app^1_map w: 0 app^3_copy w: x1 + x2 + x3 + 11294 app^2_cons w: 11293 app^1_s w: x1 + 11294 copy w: 0 app^2_map w: 0 #app^2_filter w: 0 app w: 0 USABLE RULES: { } Removed DPs: #13 Number of SCCs: 1, DPs: 9 SCC { #2..4 #6..8 #10..12 } POLO(Sum)... succeeded. popout

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job log

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actions

all output return to TRS Standard