details

property	value
status	complete
benchmark	wiehe08.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n189.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	3.07911 seconds
cpu usage	10.6372
user time	8.67952
system time	1.95769
max virtual memory	6082080.0
max residence set size	115236.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(zero(),y) -> y plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) id(x) -> x if(true(),x,y) -> x if(false(),x,y) -> y not(x) -> if(x,false(),true()) gt(s(x),zero()) -> true() gt(zero(),y) -> false() gt(s(x),s(y)) -> gt(x,y) Proof: DP Processor: DPs: minus#(s(x),s(y)) -> minus#(x,y) quot#(s(x),s(y)) -> minus#(x,y) quot#(s(x),s(y)) -> quot#(minus(x,y),s(y)) plus#(s(x),s(y)) -> id#(y) plus#(s(x),s(y)) -> id#(x) plus#(s(x),s(y)) -> not#(gt(x,y)) plus#(s(x),s(y)) -> if#(not(gt(x,y)),id(x),id(y)) plus#(s(x),s(y)) -> gt#(x,y) plus#(s(x),s(y)) -> if#(gt(x,y),x,y) plus#(s(x),s(y)) -> plus#(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) plus#(s(x),x) -> id#(x) plus#(s(x),x) -> gt#(x,x) plus#(s(x),x) -> if#(gt(x,x),id(x),id(x)) plus#(s(x),x) -> plus#(if(gt(x,x),id(x),id(x)),s(x)) plus#(id(x),s(y)) -> gt#(s(y),y) plus#(id(x),s(y)) -> if#(gt(s(y),y),y,s(y)) plus#(id(x),s(y)) -> plus#(x,if(gt(s(y),y),y,s(y))) not#(x) -> if#(x,false(),true()) gt#(s(x),s(y)) -> gt#(x,y) TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(zero(),y) -> y plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) id(x) -> x if(true(),x,y) -> x if(false(),x,y) -> y not(x) -> if(x,false(),true()) gt(s(x),zero()) -> true() gt(zero(),y) -> false() gt(s(x),s(y)) -> gt(x,y) TDG Processor: DPs: minus#(s(x),s(y)) -> minus#(x,y) quot#(s(x),s(y)) -> minus#(x,y) quot#(s(x),s(y)) -> quot#(minus(x,y),s(y)) plus#(s(x),s(y)) -> id#(y) plus#(s(x),s(y)) -> id#(x) plus#(s(x),s(y)) -> not#(gt(x,y)) plus#(s(x),s(y)) -> if#(not(gt(x,y)),id(x),id(y)) plus#(s(x),s(y)) -> gt#(x,y) plus#(s(x),s(y)) -> if#(gt(x,y),x,y) plus#(s(x),s(y)) -> plus#(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) plus#(s(x),x) -> id#(x) plus#(s(x),x) -> gt#(x,x) plus#(s(x),x) -> if#(gt(x,x),id(x),id(x)) plus#(s(x),x) -> plus#(if(gt(x,x),id(x),id(x)),s(x)) plus#(id(x),s(y)) -> gt#(s(y),y) plus#(id(x),s(y)) -> if#(gt(s(y),y),y,s(y)) plus#(id(x),s(y)) -> plus#(x,if(gt(s(y),y),y,s(y))) not#(x) -> if#(x,false(),true()) gt#(s(x),s(y)) -> gt#(x,y) TRS: minus(x,0()) -> x minus(s(x),s(y)) -> minus(x,y) quot(0(),s(y)) -> 0() quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) plus(zero(),y) -> y plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) id(x) -> x if(true(),x,y) -> x if(false(),x,y) -> y not(x) -> if(x,false(),true()) gt(s(x),zero()) -> true() gt(zero(),y) -> false() gt(s(x),s(y)) -> gt(x,y) graph: gt#(s(x),s(y)) -> gt#(x,y) -> gt#(s(x),s(y)) -> gt#(x,y) plus#(id(x),s(y)) -> gt#(s(y),y) -> gt#(s(x),s(y)) -> gt#(x,y) plus#(id(x),s(y)) -> plus#(x,if(gt(s(y),y),y,s(y))) -> plus#(id(x),s(y)) -> plus#(x,if(gt(s(y),y),y,s(y))) popout

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

job log

popout

actions

all output return to TRS Standard