details

property	value
status	complete
benchmark	021.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	AotoYamada_05

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.581395 seconds
cpu usage	1.20072
user time	0.952165
system time	0.248552
max virtual memory	1658440.0
max residence set size	69148.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: app(app(plus(),0()),y) -> y app(app(plus(),app(s(),x)),y) -> app(s(),app(app(plus(),x),y)) app(app(times(),0()),y) -> 0() app(app(times(),app(s(),x)),y) -> app(app(plus(),app(app(times(),x),y)),y) app(inc(),xs) -> app(app(map(),app(plus(),app(s(),0()))),xs) app(double(),xs) -> app(app(map(),app(times(),app(s(),app(s(),0())))),xs) 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)) Proof: Extended Uncurrying Processor: application symbol: app symbol table: cons ==> cons0/0 cons1/1 cons2/2 nil ==> nil0/0 double ==> double0/0 double1/1 map ==> map0/0 map1/1 map2/2 inc ==> inc0/0 inc1/1 times ==> times0/0 times1/1 times2/2 s ==> s0/0 s1/1 0 ==> 00/0 plus ==> plus0/0 plus1/1 plus2/2 uncurry-rules: app(plus1(x4),x5) -> plus2(x4,x5) app(plus0(),x4) -> plus1(x4) app(s0(),x8) -> s1(x8) app(times1(x10),x11) -> times2(x10,x11) app(times0(),x10) -> times1(x10) app(inc0(),x13) -> inc1(x13) app(map1(x15),x16) -> map2(x15,x16) app(map0(),x15) -> map1(x15) app(double0(),x18) -> double1(x18) app(cons1(x21),x22) -> cons2(x21,x22) app(cons0(),x21) -> cons1(x21) eta-rules: problem: plus2(00(),y) -> y plus2(s1(x),y) -> s1(plus2(x,y)) times2(00(),y) -> 00() times2(s1(x),y) -> plus2(times2(x,y),y) inc1(xs) -> map2(plus1(s1(00())),xs) double1(xs) -> map2(times1(s1(s1(00()))),xs) map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) app(plus1(x4),x5) -> plus2(x4,x5) app(plus0(),x4) -> plus1(x4) app(s0(),x8) -> s1(x8) app(times1(x10),x11) -> times2(x10,x11) app(times0(),x10) -> times1(x10) app(inc0(),x13) -> inc1(x13) app(map1(x15),x16) -> map2(x15,x16) app(map0(),x15) -> map1(x15) app(double0(),x18) -> double1(x18) app(cons1(x21),x22) -> cons2(x21,x22) app(cons0(),x21) -> cons1(x21) DP Processor: DPs: plus{2,#}(s1(x),y) -> plus{2,#}(x,y) times{2,#}(s1(x),y) -> times{2,#}(x,y) times{2,#}(s1(x),y) -> plus{2,#}(times2(x,y),y) inc{1,#}(xs) -> map{2,#}(plus1(s1(00())),xs) double{1,#}(xs) -> map{2,#}(times1(s1(s1(00()))),xs) map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) map{2,#}(f,cons2(x,xs)) -> app#(f,x) app#(plus1(x4),x5) -> plus{2,#}(x4,x5) app#(times1(x10),x11) -> times{2,#}(x10,x11) app#(inc0(),x13) -> inc{1,#}(x13) app#(map1(x15),x16) -> map{2,#}(x15,x16) app#(double0(),x18) -> double{1,#}(x18) TRS: plus2(00(),y) -> y plus2(s1(x),y) -> s1(plus2(x,y)) times2(00(),y) -> 00() times2(s1(x),y) -> plus2(times2(x,y),y) inc1(xs) -> map2(plus1(s1(00())),xs) double1(xs) -> map2(times1(s1(s1(00()))),xs) map2(f,nil0()) -> nil0() map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs)) app(plus1(x4),x5) -> plus2(x4,x5) app(plus0(),x4) -> plus1(x4) app(s0(),x8) -> s1(x8) app(times1(x10),x11) -> times2(x10,x11) app(times0(),x10) -> times1(x10) app(inc0(),x13) -> inc1(x13) app(map1(x15),x16) -> map2(x15,x16) app(map0(),x15) -> map1(x15) app(double0(),x18) -> double1(x18) app(cons1(x21),x22) -> cons2(x21,x22) app(cons0(),x21) -> cons1(x21) TDG Processor: DPs: plus{2,#}(s1(x),y) -> plus{2,#}(x,y) times{2,#}(s1(x),y) -> times{2,#}(x,y) times{2,#}(s1(x),y) -> plus{2,#}(times2(x,y),y) inc{1,#}(xs) -> map{2,#}(plus1(s1(00())),xs) popout

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