details

property	value
status	complete
benchmark	29.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n185.star.cs.uiowa.edu
space	Applicative_first_order_05

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0728421 seconds
cpu usage	0.035763
user time	0.019032
system time	0.016731
max virtual memory	113188.0
max residence set size	6300.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: app(app(ack(),0()),y) -> app(succ(),y) 2: app(app(ack(),app(succ(),x)),y) -> app(app(ack(),x),app(succ(),0())) 3: app(app(ack(),app(succ(),x)),app(succ(),y)) -> app(app(ack(),x),app(app(ack(),app(succ(),x)),y)) 4: app(app(map(),f),nil()) -> nil() 5: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) 6: app(app(filter(),f),nil()) -> nil() 7: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) 8: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) 9: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Number of strict rules: 9 Direct POLO(bPol) ... failed. Uncurrying app 1: app^2_ack(0(),y) -> app^1_succ(y) 2: app^2_ack(app^1_succ(x),y) -> app^2_ack(x,app^1_succ(0())) 3: app^2_ack(app^1_succ(x),app^1_succ(y)) -> app^2_ack(x,app^2_ack(app^1_succ(x),y)) 4: app^2_map(f,nil()) -> nil() 5: app^2_map(f,app^2_cons(x,xs)) -> app^2_cons(app(f,x),app^2_map(f,xs)) 6: app^2_filter(f,nil()) -> nil() 7: app^2_filter(f,app^2_cons(x,xs)) -> app^4_filter2(app(f,x),f,x,xs) 8: app^4_filter2(true(),f,x,xs) -> app^2_cons(x,app^2_filter(f,xs)) 9: app^4_filter2(false(),f,x,xs) -> app^2_filter(f,xs) 10: app(cons(),_1) ->= app^1_cons(_1) 11: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2) 12: app(succ(),_1) ->= app^1_succ(_1) 13: app(filter(),_1) ->= app^1_filter(_1) 14: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2) 15: app(map(),_1) ->= app^1_map(_1) 16: app(app^1_map(_1),_2) ->= app^2_map(_1,_2) 17: app(ack(),_1) ->= app^1_ack(_1) 18: app(app^1_ack(_1),_2) ->= app^2_ack(_1,_2) 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) Number of strict rules: 9 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #app^2_ack(app^1_succ(x),y) -> #app^2_ack(x,app^1_succ(0())) #2: #app^4_filter2(false(),f,x,xs) -> #app^2_filter(f,xs) #3: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2) #4: #app^2_filter(f,app^2_cons(x,xs)) -> #app^4_filter2(app(f,x),f,x,xs) #5: #app^2_filter(f,app^2_cons(x,xs)) -> #app(f,x) #6: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x) #7: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs) #8: #app(app^3_filter2(_1,_2,_3),_4) ->? #app^4_filter2(_1,_2,_3,_4) #9: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2) #10: #app^2_ack(app^1_succ(x),app^1_succ(y)) -> #app^2_ack(x,app^2_ack(app^1_succ(x),y)) #11: #app^2_ack(app^1_succ(x),app^1_succ(y)) -> #app^2_ack(app^1_succ(x),y) #12: #app^4_filter2(true(),f,x,xs) -> #app^2_filter(f,xs) #13: #app(app^1_ack(_1),_2) ->? #app^2_ack(_1,_2) Number of SCCs: 2, DPs: 11 SCC { #1 #10 #11 } POLO(Sum)... succeeded. app^1_ack w: 0 app^1_cons w: 0 #app^2_map w: 0 ack w: 0 app^2_filter2 w: 0 app^4_filter2 w: 0 false w: 0 #app^2_ack w: x1 app^1_filter2 w: 0 true w: 0 filter2 w: 0 0 w: 1 #app^4_filter2 w: 0 succ w: 0 nil w: 0 app^1_succ w: x1 + 1 #app w: 0 map w: 0 app^1_filter w: 0 cons w: 0 filter w: 0 app^3_filter2 w: 0 app^2_filter w: 0 app^1_map w: 0 app^2_cons w: 0 app^2_ack w: x1 + x2 + 2 app^2_map w: 0 #app^2_filter w: 0 app w: 0 USABLE RULES: { } Removed DPs: #1 #10 Number of SCCs: 2, DPs: 9 SCC { #11 } POLO(Sum)... POLO(max)... succeeded. app^1_ack w: 0 app^1_cons w: 0 #app^2_map w: 0 ack w: 0 app^2_filter2 w: 0 app^4_filter2 w: 0 false w: 0 #app^2_ack w: max(x2 + 1) app^1_filter2 w: 0 true w: 0 filter2 w: 0 popout

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job log

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actions

all output return to TRS Standard