details

property	value
status	complete
benchmark	#3.6.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n182.star.cs.uiowa.edu
space	Applicative_first_order_05

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.59618 seconds
cpu usage	4.84082
user time	3.8695
system time	0.971328
max virtual memory	5670652.0
max residence set size	83380.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: app(app(le(),0()),y) -> true() app(app(le(),app(s(),x)),0()) -> false() app(app(le(),app(s(),x)),app(s(),y)) -> app(app(le(),x),y) app(pred(),app(s(),x)) -> x app(app(minus(),x),0()) -> x app(app(minus(),x),app(s(),y)) -> app(pred(),app(app(minus(),x),y)) app(app(gcd(),0()),y) -> y app(app(gcd(),app(s(),x)),0()) -> app(s(),x) app(app(gcd(),app(s(),x)),app(s(),y)) -> app(app(app(if_gcd(),app(app(le(),y),x)),app(s(),x)),app(s(),y)) app(app(app(if_gcd(),true()),app(s(),x)),app(s(),y)) -> app(app(gcd(),app(app(minus(),x),y)),app(s(),y)) app(app(app(if_gcd(),false()),app(s(),x)),app(s(),y)) -> app(app(gcd(),app(app(minus(),y),x)),app(s(),x)) app(app(map(),f),nil()) -> nil() app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) app(app(filter(),f),nil()) -> nil() app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Proof: Extended Uncurrying Processor: application symbol: app symbol table: filter2 ==> filter20/0 filter21/1 filter22/2 filter23/3 filter24/4 filter ==> filter0/0 filter1/1 filter2/2 cons ==> cons0/0 cons1/1 cons2/2 nil ==> nil0/0 map ==> map0/0 map1/1 map2/2 if_gcd ==> if_gcd0/0 if_gcd1/1 if_gcd2/2 if_gcd3/3 gcd ==> gcd0/0 gcd1/1 gcd2/2 minus ==> minus0/0 minus1/1 minus2/2 pred ==> pred0/0 pred1/1 false ==> false0/0 s ==> s0/0 s1/1 true ==> true0/0 0 ==> 00/0 le ==> le0/0 le1/1 le2/2 uncurry-rules: app(le1(x4),x5) -> le2(x4,x5) app(le0(),x4) -> le1(x4) app(s0(),x9) -> s1(x9) app(pred0(),x12) -> pred1(x12) app(minus1(x14),x15) -> minus2(x14,x15) app(minus0(),x14) -> minus1(x14) app(gcd1(x17),x18) -> gcd2(x17,x18) app(gcd0(),x17) -> gcd1(x17) app(if_gcd2(x20,x21),x22) -> if_gcd3(x20,x21,x22) app(if_gcd1(x20),x21) -> if_gcd2(x20,x21) app(if_gcd0(),x20) -> if_gcd1(x20) app(map1(x24),x25) -> map2(x24,x25) app(map0(),x24) -> map1(x24) app(cons1(x28),x29) -> cons2(x28,x29) app(cons0(),x28) -> cons1(x28) app(filter1(x31),x32) -> filter2(x31,x32) app(filter0(),x31) -> filter1(x31) app(filter23(x34,x35,x36),x37) -> filter24(x34,x35,x36,x37) app(filter22(x34,x35),x36) -> filter23(x34,x35,x36) app(filter21(x34),x35) -> filter22(x34,x35) app(filter20(),x34) -> filter21(x34) eta-rules: problem: le2(00(),y) -> true0() le2(s1(x),00()) -> false0() le2(s1(x),s1(y)) -> le2(x,y) pred1(s1(x)) -> x minus2(x,00()) -> x minus2(x,s1(y)) -> pred1(minus2(x,y)) gcd2(00(),y) -> y gcd2(s1(x),00()) -> s1(x) gcd2(s1(x),s1(y)) -> if_gcd3(le2(y,x),s1(x),s1(y)) if_gcd3(true0(),s1(x),s1(y)) -> gcd2(minus2(x,y),s1(y)) if_gcd3(false0(),s1(x),s1(y)) -> gcd2(minus2(y,x),s1(x)) map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) filter2(f,nil0()) -> nil0() filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs) filter24(true0(),f,x,xs) -> cons2(x,filter2(f,xs)) filter24(false0(),f,x,xs) -> filter2(f,xs) app(le1(x4),x5) -> le2(x4,x5) app(le0(),x4) -> le1(x4) app(s0(),x9) -> s1(x9) app(pred0(),x12) -> pred1(x12) app(minus1(x14),x15) -> minus2(x14,x15) app(minus0(),x14) -> minus1(x14) app(gcd1(x17),x18) -> gcd2(x17,x18) app(gcd0(),x17) -> gcd1(x17) app(if_gcd2(x20,x21),x22) -> if_gcd3(x20,x21,x22) app(if_gcd1(x20),x21) -> if_gcd2(x20,x21) app(if_gcd0(),x20) -> if_gcd1(x20) app(map1(x24),x25) -> map2(x24,x25) app(map0(),x24) -> map1(x24) app(cons1(x28),x29) -> cons2(x28,x29) app(cons0(),x28) -> cons1(x28) popout

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all output return to TRS Standard