details

property	value
status	complete
benchmark	9.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	Beerendonk_07

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.25815 seconds
cpu usage	3.74374
user time	2.93496
system time	0.808779
max virtual memory	5496940.0
max residence set size	69400.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: cond(true(),x,y,z) -> cond(and(gr(x,z),gr(y,z)),p(x),p(y),z) and(true(),true()) -> true() and(x,false()) -> false() and(false(),x) -> false() gr(0(),0()) -> false() gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) p(0()) -> 0() p(s(x)) -> x Proof: DP Processor: DPs: cond#(true(),x,y,z) -> p#(y) cond#(true(),x,y,z) -> p#(x) cond#(true(),x,y,z) -> gr#(y,z) cond#(true(),x,y,z) -> gr#(x,z) cond#(true(),x,y,z) -> and#(gr(x,z),gr(y,z)) cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) gr#(s(x),s(y)) -> gr#(x,y) TRS: cond(true(),x,y,z) -> cond(and(gr(x,z),gr(y,z)),p(x),p(y),z) and(true(),true()) -> true() and(x,false()) -> false() and(false(),x) -> false() gr(0(),0()) -> false() gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) p(0()) -> 0() p(s(x)) -> x TDG Processor: DPs: cond#(true(),x,y,z) -> p#(y) cond#(true(),x,y,z) -> p#(x) cond#(true(),x,y,z) -> gr#(y,z) cond#(true(),x,y,z) -> gr#(x,z) cond#(true(),x,y,z) -> and#(gr(x,z),gr(y,z)) cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) gr#(s(x),s(y)) -> gr#(x,y) TRS: cond(true(),x,y,z) -> cond(and(gr(x,z),gr(y,z)),p(x),p(y),z) and(true(),true()) -> true() and(x,false()) -> false() and(false(),x) -> false() gr(0(),0()) -> false() gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) p(0()) -> 0() p(s(x)) -> x graph: gr#(s(x),s(y)) -> gr#(x,y) -> gr#(s(x),s(y)) -> gr#(x,y) cond#(true(),x,y,z) -> gr#(y,z) -> gr#(s(x),s(y)) -> gr#(x,y) cond#(true(),x,y,z) -> gr#(x,z) -> gr#(s(x),s(y)) -> gr#(x,y) cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) -> cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) -> cond#(true(),x,y,z) -> and#(gr(x,z),gr(y,z)) cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) -> cond#(true(),x,y,z) -> gr#(x,z) cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) -> cond#(true(),x,y,z) -> gr#(y,z) cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) -> cond#(true(),x,y,z) -> p#(x) cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) -> cond#(true(),x,y,z) -> p#(y) SCC Processor: #sccs: 2 #rules: 2 #arcs: 9/49 DPs: cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) TRS: cond(true(),x,y,z) -> cond(and(gr(x,z),gr(y,z)),p(x),p(y),z) and(true(),true()) -> true() and(x,false()) -> false() and(false(),x) -> false() gr(0(),0()) -> false() gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) p(0()) -> 0() p(s(x)) -> x Usable Rule Processor: DPs: cond#(true(),x,y,z) -> cond#(and(gr(x,z),gr(y,z)),p(x),p(y),z) TRS: p(0()) -> 0() p(s(x)) -> x gr(0(),0()) -> false() gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) and(true(),true()) -> true() popout

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

job log

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actions

all output return to TRS Standard