details

property	value
status	complete
benchmark	#3.22.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	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.21634 seconds
cpu usage	3.45607
user time	2.7376
system time	0.718468
max virtual memory	1765992.0
max residence set size	78024.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: app(app(times(),x),app(app(plus(),y),app(s(),z))) -> app(app(plus(),app(app(times(),x),app(app(plus(),y),app(app(times(),app(s(),z)),0())))), app(app(times(),x),app(s(),z))) app(app(times(),x),0()) -> 0() app(app(times(),x),app(s(),y)) -> app(app(plus(),app(app(times(),x),y)),x) app(app(plus(),x),0()) -> x app(app(plus(),x),app(s(),y)) -> app(s(),app(app(plus(),x),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 0 ==> 00/0 s ==> s0/0 s1/1 plus ==> plus0/0 plus1/1 plus2/2 times ==> times0/0 times1/1 times2/2 uncurry-rules: app(times1(x5),x6) -> times2(x5,x6) app(times0(),x5) -> times1(x5) app(plus1(x8),x9) -> plus2(x8,x9) app(plus0(),x8) -> plus1(x8) app(s0(),x11) -> s1(x11) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) app(cons1(x18),x19) -> cons2(x18,x19) app(cons0(),x18) -> cons1(x18) app(filter1(x21),x22) -> filter2(x21,x22) app(filter0(),x21) -> filter1(x21) app(filter23(x24,x25,x26),x27) -> filter24(x24,x25,x26,x27) app(filter22(x24,x25),x26) -> filter23(x24,x25,x26) app(filter21(x24),x25) -> filter22(x24,x25) app(filter20(),x24) -> filter21(x24) eta-rules: problem: times2(x,plus2(y,s1(z))) -> plus2(times2(x,plus2(y,times2(s1(z),00()))),times2(x,s1(z))) times2(x,00()) -> 00() times2(x,s1(y)) -> plus2(times2(x,y),x) plus2(x,00()) -> x plus2(x,s1(y)) -> s1(plus2(x,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(times1(x5),x6) -> times2(x5,x6) app(times0(),x5) -> times1(x5) app(plus1(x8),x9) -> plus2(x8,x9) app(plus0(),x8) -> plus1(x8) app(s0(),x11) -> s1(x11) app(map1(x14),x15) -> map2(x14,x15) app(map0(),x14) -> map1(x14) app(cons1(x18),x19) -> cons2(x18,x19) app(cons0(),x18) -> cons1(x18) app(filter1(x21),x22) -> filter2(x21,x22) app(filter0(),x21) -> filter1(x21) app(filter23(x24,x25,x26),x27) -> filter24(x24,x25,x26,x27) app(filter22(x24,x25),x26) -> filter23(x24,x25,x26) app(filter21(x24),x25) -> filter22(x24,x25) app(filter20(),x24) -> filter21(x24) DP Processor: DPs: times{2,#}(x,plus2(y,s1(z))) -> times{2,#}(x,s1(z)) times{2,#}(x,plus2(y,s1(z))) -> times{2,#}(s1(z),00()) times{2,#}(x,plus2(y,s1(z))) -> plus{2,#}(y,times2(s1(z),00())) times{2,#}(x,plus2(y,s1(z))) -> times{2,#}(x,plus2(y,times2(s1(z),00()))) times{2,#}(x,plus2(y,s1(z))) -> plus{2,#}(times2(x,plus2(y,times2(s1(z),00()))),times2(x,s1(z))) times{2,#}(x,s1(y)) -> times{2,#}(x,y) times{2,#}(x,s1(y)) -> plus{2,#}(times2(x,y),x) plus{2,#}(x,s1(y)) -> plus{2,#}(x,y) map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) map{2,#}(f,cons2(x,xs)) -> app#(f,x) filter{2,#}(f,cons2(x,xs)) -> app#(f,x) filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs) filter2{4,#}(true0(),f,x,xs) -> filter{2,#}(f,xs) filter2{4,#}(false0(),f,x,xs) -> filter{2,#}(f,xs) app#(times1(x5),x6) -> times{2,#}(x5,x6) app#(plus1(x8),x9) -> plus{2,#}(x8,x9) app#(map1(x14),x15) -> map{2,#}(x14,x15) app#(filter1(x21),x22) -> filter{2,#}(x21,x22) app#(filter23(x24,x25,x26),x27) -> filter2{4,#}(x24,x25,x26,x27) popout

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

job log

popout

actions

all output return to TRS Standard