details

property	value
status	complete
benchmark	thiemann16.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	AProVE_07

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	3.11428 seconds
cpu usage	11.0923
user time	9.54608
system time	1.54619
max virtual memory	5839968.0
max residence set size	103784.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: check(0()) -> zero() check(s(0())) -> odd() check(s(s(0()))) -> even() check(s(s(s(x)))) -> check(s(x)) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(x,y) -> timesIter(x,y,0()) timesIter(x,y,z) -> if(check(x),x,y,z,plus(z,y)) p(s(x)) -> x p(0()) -> 0() if(zero(),x,y,z,u) -> z if(odd(),x,y,z,u) -> timesIter(p(x),y,u) if(even(),x,y,z,u) -> plus(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) Proof: DP Processor: DPs: check#(s(s(s(x)))) -> check#(s(x)) half#(s(s(x))) -> half#(x) plus#(s(x),y) -> plus#(x,y) times#(x,y) -> timesIter#(x,y,0()) timesIter#(x,y,z) -> plus#(z,y) timesIter#(x,y,z) -> check#(x) timesIter#(x,y,z) -> if#(check(x),x,y,z,plus(z,y)) if#(odd(),x,y,z,u) -> p#(x) if#(odd(),x,y,z,u) -> timesIter#(p(x),y,u) if#(even(),x,y,z,u) -> half#(s(z)) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(s(z))) if#(even(),x,y,z,u) -> half#(z) if#(even(),x,y,z,u) -> half#(x) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(z)) if#(even(),x,y,z,u) -> plus#(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) TRS: check(0()) -> zero() check(s(0())) -> odd() check(s(s(0()))) -> even() check(s(s(s(x)))) -> check(s(x)) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(x,y) -> timesIter(x,y,0()) timesIter(x,y,z) -> if(check(x),x,y,z,plus(z,y)) p(s(x)) -> x p(0()) -> 0() if(zero(),x,y,z,u) -> z if(odd(),x,y,z,u) -> timesIter(p(x),y,u) if(even(),x,y,z,u) -> plus(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) TDG Processor: DPs: check#(s(s(s(x)))) -> check#(s(x)) half#(s(s(x))) -> half#(x) plus#(s(x),y) -> plus#(x,y) times#(x,y) -> timesIter#(x,y,0()) timesIter#(x,y,z) -> plus#(z,y) timesIter#(x,y,z) -> check#(x) timesIter#(x,y,z) -> if#(check(x),x,y,z,plus(z,y)) if#(odd(),x,y,z,u) -> p#(x) if#(odd(),x,y,z,u) -> timesIter#(p(x),y,u) if#(even(),x,y,z,u) -> half#(s(z)) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(s(z))) if#(even(),x,y,z,u) -> half#(z) if#(even(),x,y,z,u) -> half#(x) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(z)) if#(even(),x,y,z,u) -> plus#(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) TRS: check(0()) -> zero() check(s(0())) -> odd() check(s(s(0()))) -> even() check(s(s(s(x)))) -> check(s(x)) half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) plus(0(),y) -> y plus(s(x),y) -> s(plus(x,y)) times(x,y) -> timesIter(x,y,0()) timesIter(x,y,z) -> if(check(x),x,y,z,plus(z,y)) p(s(x)) -> x p(0()) -> 0() if(zero(),x,y,z,u) -> z if(odd(),x,y,z,u) -> timesIter(p(x),y,u) if(even(),x,y,z,u) -> plus(timesIter(half(x),y,half(z)),timesIter(half(x),y,half(s(z)))) graph: if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(s(z))) -> timesIter#(x,y,z) -> if#(check(x),x,y,z,plus(z,y)) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(s(z))) -> timesIter#(x,y,z) -> check#(x) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(s(z))) -> timesIter#(x,y,z) -> plus#(z,y) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(z)) -> timesIter#(x,y,z) -> if#(check(x),x,y,z,plus(z,y)) if#(even(),x,y,z,u) -> timesIter#(half(x),y,half(z)) -> timesIter#(x,y,z) -> check#(x) popout

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

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