details

property	value
status	complete
benchmark	thiemann10.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.3861 seconds
cpu usage	4.32459
user time	3.44224
system time	0.882351
max virtual memory	5686568.0
max residence set size	74848.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) zero(0()) -> true() zero(s(x)) -> false() conv(x) -> conviter(x,cons(0(),nil())) conviter(x,l) -> if(zero(x),x,l) if(true(),x,l) -> l if(false(),x,l) -> conviter(half(x),cons(lastbit(x),l)) Proof: DP Processor: DPs: half#(s(s(x))) -> half#(x) lastbit#(s(s(x))) -> lastbit#(x) conv#(x) -> conviter#(x,cons(0(),nil())) conviter#(x,l) -> zero#(x) conviter#(x,l) -> if#(zero(x),x,l) if#(false(),x,l) -> lastbit#(x) if#(false(),x,l) -> half#(x) if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) TRS: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) zero(0()) -> true() zero(s(x)) -> false() conv(x) -> conviter(x,cons(0(),nil())) conviter(x,l) -> if(zero(x),x,l) if(true(),x,l) -> l if(false(),x,l) -> conviter(half(x),cons(lastbit(x),l)) TDG Processor: DPs: half#(s(s(x))) -> half#(x) lastbit#(s(s(x))) -> lastbit#(x) conv#(x) -> conviter#(x,cons(0(),nil())) conviter#(x,l) -> zero#(x) conviter#(x,l) -> if#(zero(x),x,l) if#(false(),x,l) -> lastbit#(x) if#(false(),x,l) -> half#(x) if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) TRS: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) zero(0()) -> true() zero(s(x)) -> false() conv(x) -> conviter(x,cons(0(),nil())) conviter(x,l) -> if(zero(x),x,l) if(true(),x,l) -> l if(false(),x,l) -> conviter(half(x),cons(lastbit(x),l)) graph: if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) -> conviter#(x,l) -> if#(zero(x),x,l) if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) -> conviter#(x,l) -> zero#(x) if#(false(),x,l) -> lastbit#(x) -> lastbit#(s(s(x))) -> lastbit#(x) if#(false(),x,l) -> half#(x) -> half#(s(s(x))) -> half#(x) conviter#(x,l) -> if#(zero(x),x,l) -> if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) conviter#(x,l) -> if#(zero(x),x,l) -> if#(false(),x,l) -> half#(x) conviter#(x,l) -> if#(zero(x),x,l) -> if#(false(),x,l) -> lastbit#(x) conv#(x) -> conviter#(x,cons(0(),nil())) -> conviter#(x,l) -> if#(zero(x),x,l) conv#(x) -> conviter#(x,cons(0(),nil())) -> conviter#(x,l) -> zero#(x) lastbit#(s(s(x))) -> lastbit#(x) -> lastbit#(s(s(x))) -> lastbit#(x) half#(s(s(x))) -> half#(x) -> half#(s(s(x))) -> half#(x) SCC Processor: #sccs: 3 #rules: 4 #arcs: 11/64 DPs: if#(false(),x,l) -> conviter#(half(x),cons(lastbit(x),l)) conviter#(x,l) -> if#(zero(x),x,l) TRS: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) zero(0()) -> true() zero(s(x)) -> false() conv(x) -> conviter(x,cons(0(),nil())) conviter(x,l) -> if(zero(x),x,l) popout

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

job log

popout

actions

all output return to TRS Standard