details

property	value
status	complete
benchmark	t001.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n181.star.cs.uiowa.edu
space	HirokawaMiddeldorp_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.68649 seconds
cpu usage	5.23225
user time	4.07133
system time	1.16092
max virtual memory	4678368.0
max residence set size	83660.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) *(x,0()) -> 0() *(x,s(y)) -> +(*(x,y),x) if(true(),x,y) -> x if(false(),x,y) -> y odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(true(),x,y) -> true() if(false(),x,y) -> false() pow(x,y) -> f(x,y,s(0())) f(x,0(),z) -> z f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) Proof: DP Processor: DPs: -#(s(x),s(y)) -> -#(x,y) *#(x,s(y)) -> *#(x,y) odd#(s(s(x))) -> odd#(x) half#(s(s(x))) -> half#(x) pow#(x,y) -> f#(x,y,s(0())) f#(x,s(y),z) -> half#(s(y)) f#(x,s(y),z) -> *#(x,x) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) f#(x,s(y),z) -> *#(x,z) f#(x,s(y),z) -> f#(x,y,*(x,z)) f#(x,s(y),z) -> odd#(s(y)) f#(x,s(y),z) -> if#(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) *(x,0()) -> 0() *(x,s(y)) -> +(*(x,y),x) if(true(),x,y) -> x if(false(),x,y) -> y odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(true(),x,y) -> true() if(false(),x,y) -> false() pow(x,y) -> f(x,y,s(0())) f(x,0(),z) -> z f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) TDG Processor: DPs: -#(s(x),s(y)) -> -#(x,y) *#(x,s(y)) -> *#(x,y) odd#(s(s(x))) -> odd#(x) half#(s(s(x))) -> half#(x) pow#(x,y) -> f#(x,y,s(0())) f#(x,s(y),z) -> half#(s(y)) f#(x,s(y),z) -> *#(x,x) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) f#(x,s(y),z) -> *#(x,z) f#(x,s(y),z) -> f#(x,y,*(x,z)) f#(x,s(y),z) -> odd#(s(y)) f#(x,s(y),z) -> if#(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) *(x,0()) -> 0() *(x,s(y)) -> +(*(x,y),x) if(true(),x,y) -> x if(false(),x,y) -> y odd(0()) -> false() odd(s(0())) -> true() odd(s(s(x))) -> odd(x) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(true(),x,y) -> true() if(false(),x,y) -> false() pow(x,y) -> f(x,y,s(0())) f(x,0(),z) -> z f(x,s(y),z) -> if(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) graph: f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> f#(x,s(y),z) -> if#(odd(s(y)),f(x,y,*(x,z)),f(*(x,x),half(s(y)),z)) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> f#(x,s(y),z) -> odd#(s(y)) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> f#(x,s(y),z) -> f#(x,y,*(x,z)) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> f#(x,s(y),z) -> *#(x,z) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> f#(x,s(y),z) -> *#(x,x) f#(x,s(y),z) -> f#(*(x,x),half(s(y)),z) -> popout

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

job log

popout

actions

all output return to TRS Standard