details

property	value
status	complete
benchmark	11.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n183.star.cs.uiowa.edu
space	Applicative_first_order_05

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.19104 seconds
cpu usage	3.04124
user time	2.71101
system time	0.330228
max virtual memory	1980832.0
max residence set size	94996.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: app(D(),t()) -> 1() app(D(),constant()) -> 0() app(D(),app(app(+(),x),y)) -> app(app(+(),app(D(),x)),app(D(),y)) app(D(),app(app(*(),x),y)) -> app(app(+(),app(app(*(),y),app(D(),x))),app(app(*(),x),app(D(),y))) app(D(),app(app(-(),x),y)) -> app(app(-(),app(D(),x)),app(D(),y)) app(D(),app(minus(),x)) -> app(minus(),app(D(),x)) app(D(),app(app(div(),x),y)) -> app(app(-(),app(app(div(),app(D(),x)),y)),app(app(div(),app(app(*(),x),app(D(),y))), app(app(pow(),y),2()))) app(D(),app(ln(),x)) -> app(app(div(),app(D(),x)),x) app(D(),app(app(pow(),x),y)) -> app(app(+(),app(app(*(),app(app(*(),y),app(app(pow(),x),app(app(-(),y),1())))),app(D(),x))), app(app(*(),app(app(*(),app(app(pow(),x),y)),app(ln(),x))),app(D(),y))) 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: false ==> false0/0 true ==> true0/0 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 ln ==> ln0/0 ln1/1 2 ==> 20/0 pow ==> pow0/0 pow1/1 pow2/2 div ==> div0/0 div1/1 div2/2 minus ==> minus0/0 minus1/1 - ==> -0/0 -1/1 -2/2 * ==> *0/0 *1/1 *2/2 + ==> +0/0 +1/1 +2/2 0 ==> 00/0 constant ==> constant0/0 1 ==> 10/0 t ==> t0/0 D ==> D0/0 D1/1 uncurry-rules: app(D0(),x4) -> D1(x4) app(+1(x10),x11) -> +2(x10,x11) app(+0(),x10) -> +1(x10) app(*1(x13),x14) -> *2(x13,x14) app(*0(),x13) -> *1(x13) app(-1(x16),x17) -> -2(x16,x17) app(-0(),x16) -> -1(x16) app(minus0(),x19) -> minus1(x19) app(div1(x21),x22) -> div2(x21,x22) app(div0(),x21) -> div1(x21) app(pow1(x24),x25) -> pow2(x24,x25) app(pow0(),x24) -> pow1(x24) app(ln0(),x28) -> ln1(x28) app(map1(x30),x31) -> map2(x30,x31) app(map0(),x30) -> map1(x30) app(cons1(x34),x35) -> cons2(x34,x35) app(cons0(),x34) -> cons1(x34) app(filter1(x37),x38) -> filter2(x37,x38) app(filter0(),x37) -> filter1(x37) app(filter23(x40,x41,x42),x43) -> filter24(x40,x41,x42,x43) app(filter22(x40,x41),x42) -> filter23(x40,x41,x42) app(filter21(x40),x41) -> filter22(x40,x41) app(filter20(),x40) -> filter21(x40) eta-rules: problem: D1(t0()) -> 10() D1(constant0()) -> 00() D1(+2(x,y)) -> +2(D1(x),D1(y)) D1(*2(x,y)) -> +2(*2(y,D1(x)),*2(x,D1(y))) D1(-2(x,y)) -> -2(D1(x),D1(y)) D1(minus1(x)) -> minus1(D1(x)) D1(div2(x,y)) -> -2(div2(D1(x),y),div2(*2(x,D1(y)),pow2(y,20()))) D1(ln1(x)) -> div2(D1(x),x) D1(pow2(x,y)) -> +2(*2(*2(y,pow2(x,-2(y,10()))),D1(x)),*2(*2(pow2(x,y),ln1(x)),D1(y))) 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(D0(),x4) -> D1(x4) app(+1(x10),x11) -> +2(x10,x11) app(+0(),x10) -> +1(x10) app(*1(x13),x14) -> *2(x13,x14) app(*0(),x13) -> *1(x13) app(-1(x16),x17) -> -2(x16,x17) app(-0(),x16) -> -1(x16) app(minus0(),x19) -> minus1(x19) app(div1(x21),x22) -> div2(x21,x22) app(div0(),x21) -> div1(x21) popout

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