details

property	value
status	complete
benchmark	zerolist.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n182.star.cs.uiowa.edu
space	AProVE_09_Inductive

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	10.4229 seconds
cpu usage	39.841
user time	38.1888
system time	1.65222
max virtual memory	5369228.0
max residence set size	158296.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Problem: sub(0(),0()) -> 0() sub(s(x),0()) -> s(x) sub(0(),s(x)) -> 0() sub(s(x),s(y)) -> sub(x,y) zero(nil()) -> zero2(0(),nil()) zero(cons(x,xs)) -> zero2(sub(x,x),cons(x,xs)) zero2(0(),nil()) -> nil() zero2(0(),cons(x,xs)) -> cons(sub(x,x),zero(xs)) zero2(s(y),nil()) -> zero(nil()) zero2(s(y),cons(x,xs)) -> zero(cons(x,xs)) Proof: DP Processor: DPs: sub#(s(x),s(y)) -> sub#(x,y) zero#(nil()) -> zero2#(0(),nil()) zero#(cons(x,xs)) -> sub#(x,x) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(0(),cons(x,xs)) -> zero#(xs) zero2#(0(),cons(x,xs)) -> sub#(x,x) zero2#(s(y),nil()) -> zero#(nil()) zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) TRS: sub(0(),0()) -> 0() sub(s(x),0()) -> s(x) sub(0(),s(x)) -> 0() sub(s(x),s(y)) -> sub(x,y) zero(nil()) -> zero2(0(),nil()) zero(cons(x,xs)) -> zero2(sub(x,x),cons(x,xs)) zero2(0(),nil()) -> nil() zero2(0(),cons(x,xs)) -> cons(sub(x,x),zero(xs)) zero2(s(y),nil()) -> zero(nil()) zero2(s(y),cons(x,xs)) -> zero(cons(x,xs)) EDG Processor: DPs: sub#(s(x),s(y)) -> sub#(x,y) zero#(nil()) -> zero2#(0(),nil()) zero#(cons(x,xs)) -> sub#(x,x) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(0(),cons(x,xs)) -> zero#(xs) zero2#(0(),cons(x,xs)) -> sub#(x,x) zero2#(s(y),nil()) -> zero#(nil()) zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) TRS: sub(0(),0()) -> 0() sub(s(x),0()) -> s(x) sub(0(),s(x)) -> 0() sub(s(x),s(y)) -> sub(x,y) zero(nil()) -> zero2(0(),nil()) zero(cons(x,xs)) -> zero2(sub(x,x),cons(x,xs)) zero2(0(),nil()) -> nil() zero2(0(),cons(x,xs)) -> cons(sub(x,x),zero(xs)) zero2(s(y),nil()) -> zero(nil()) zero2(s(y),cons(x,xs)) -> zero(cons(x,xs)) graph: zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) -> zero#(cons(x,xs)) -> sub#(x,x) zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) -> zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(s(y),nil()) -> zero#(nil()) -> zero#(nil()) -> zero2#(0(),nil()) zero2#(0(),cons(x,xs)) -> zero#(xs) -> zero#(nil()) -> zero2#(0(),nil()) zero2#(0(),cons(x,xs)) -> zero#(xs) -> zero#(cons(x,xs)) -> sub#(x,x) zero2#(0(),cons(x,xs)) -> zero#(xs) -> zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(0(),cons(x,xs)) -> sub#(x,x) -> sub#(s(x),s(y)) -> sub#(x,y) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) -> zero2#(0(),cons(x,xs)) -> zero#(xs) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) -> zero2#(0(),cons(x,xs)) -> sub#(x,x) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) -> zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) zero#(cons(x,xs)) -> sub#(x,x) -> sub#(s(x),s(y)) -> sub#(x,y) sub#(s(x),s(y)) -> sub#(x,y) -> sub#(s(x),s(y)) -> sub#(x,y) SCC Processor: #sccs: 2 #rules: 4 #arcs: 12/64 DPs: zero2#(s(y),cons(x,xs)) -> zero#(cons(x,xs)) zero#(cons(x,xs)) -> zero2#(sub(x,x),cons(x,xs)) zero2#(0(),cons(x,xs)) -> zero#(xs) TRS: sub(0(),0()) -> 0() sub(s(x),0()) -> s(x) sub(0(),s(x)) -> 0() sub(s(x),s(y)) -> sub(x,y) zero(nil()) -> zero2(0(),nil()) zero(cons(x,xs)) -> zero2(sub(x,x),cons(x,xs)) zero2(0(),nil()) -> nil() zero2(0(),cons(x,xs)) -> cons(sub(x,x),zero(xs)) zero2(s(y),nil()) -> zero(nil()) zero2(s(y),cons(x,xs)) -> zero(cons(x,xs)) Subterm Criterion Processor: popout

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

job log

popout

actions

all output return to TRS Standard