details

property	value
status	complete
benchmark	31.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n186.star.cs.uiowa.edu
space	Applicative_first_order_05

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	76.2989 seconds
cpu usage	299.388
user time	295.273
system time	4.1148
max virtual memory	5755356.0
max residence set size	1144696.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: app(app(:(),app(app(:(),x),y)),z) -> app(app(:(),x),app(app(:(),y),z)) app(app(:(),app(app(+(),x),y)),z) -> app(app(+(),app(app(:(),x),z)),app(app(:(),y),z)) app(app(:(),z),app(app(+(),x),app(f,y))) -> app(app(:(),app(app(g(),z),y)),app(app(+(),x),a())) app(app(map(),f),nil()) -> nil() app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) app(app(filter(),f),nil()) -> nil() app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) Proof: DP Processor: DPs: app#(app(:(),app(app(:(),x),y)),z) -> app#(:(),y) app#(app(:(),app(app(:(),x),y)),z) -> app#(app(:(),y),z) app#(app(:(),app(app(:(),x),y)),z) -> app#(app(:(),x),app(app(:(),y),z)) app#(app(:(),app(app(+(),x),y)),z) -> app#(:(),y) app#(app(:(),app(app(+(),x),y)),z) -> app#(app(:(),y),z) app#(app(:(),app(app(+(),x),y)),z) -> app#(:(),x) app#(app(:(),app(app(+(),x),y)),z) -> app#(app(:(),x),z) app#(app(:(),app(app(+(),x),y)),z) -> app#(+(),app(app(:(),x),z)) app#(app(:(),app(app(+(),x),y)),z) -> app#(app(+(),app(app(:(),x),z)),app(app(:(),y),z)) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(app(+(),x),a()) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(g(),z) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(app(g(),z),y) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(:(),app(app(g(),z),y)) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(app(:(),app(app(g(),z),y)),app(app(+(),x),a())) app#(app(map(),f),app(app(cons(),x),xs)) -> app#(app(map(),f),xs) app#(app(map(),f),app(app(cons(),x),xs)) -> app#(f,x) app#(app(map(),f),app(app(cons(),x),xs)) -> app#(cons(),app(f,x)) app#(app(map(),f),app(app(cons(),x),xs)) -> app#(app(cons(),app(f,x)),app(app(map(),f),xs)) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(f,x) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(filter2(),app(f,x)) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(app(filter2(),app(f,x)),f) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(app(app(filter2(),app(f,x)),f),x) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(app(app(app(filter2(),app(f,x)),f),x),xs) app#(app(app(app(filter2(),true()),f),x),xs) -> app#(filter(),f) app#(app(app(app(filter2(),true()),f),x),xs) -> app#(app(filter(),f),xs) app#(app(app(app(filter2(),true()),f),x),xs) -> app#(cons(),x) app#(app(app(app(filter2(),true()),f),x),xs) -> app#(app(cons(),x),app(app(filter(),f),xs)) app#(app(app(app(filter2(),false()),f),x),xs) -> app#(filter(),f) app#(app(app(app(filter2(),false()),f),x),xs) -> app#(app(filter(),f),xs) TRS: app(app(:(),app(app(:(),x),y)),z) -> app(app(:(),x),app(app(:(),y),z)) app(app(:(),app(app(+(),x),y)),z) -> app(app(+(),app(app(:(),x),z)),app(app(:(),y),z)) app(app(:(),z),app(app(+(),x),app(f,y))) -> app(app(:(),app(app(g(),z),y)),app(app(+(),x),a())) app(app(map(),f),nil()) -> nil() app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) app(app(filter(),f),nil()) -> nil() app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) EDG Processor: DPs: app#(app(:(),app(app(:(),x),y)),z) -> app#(:(),y) app#(app(:(),app(app(:(),x),y)),z) -> app#(app(:(),y),z) app#(app(:(),app(app(:(),x),y)),z) -> app#(app(:(),x),app(app(:(),y),z)) app#(app(:(),app(app(+(),x),y)),z) -> app#(:(),y) app#(app(:(),app(app(+(),x),y)),z) -> app#(app(:(),y),z) app#(app(:(),app(app(+(),x),y)),z) -> app#(:(),x) app#(app(:(),app(app(+(),x),y)),z) -> app#(app(:(),x),z) app#(app(:(),app(app(+(),x),y)),z) -> app#(+(),app(app(:(),x),z)) app#(app(:(),app(app(+(),x),y)),z) -> app#(app(+(),app(app(:(),x),z)),app(app(:(),y),z)) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(app(+(),x),a()) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(g(),z) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(app(g(),z),y) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(:(),app(app(g(),z),y)) app#(app(:(),z),app(app(+(),x),app(f,y))) -> app#(app(:(),app(app(g(),z),y)),app(app(+(),x),a())) app#(app(map(),f),app(app(cons(),x),xs)) -> app#(app(map(),f),xs) app#(app(map(),f),app(app(cons(),x),xs)) -> app#(f,x) app#(app(map(),f),app(app(cons(),x),xs)) -> app#(cons(),app(f,x)) app#(app(map(),f),app(app(cons(),x),xs)) -> app#(app(cons(),app(f,x)),app(app(map(),f),xs)) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(f,x) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(filter2(),app(f,x)) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(app(filter2(),app(f,x)),f) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(app(app(filter2(),app(f,x)),f),x) app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(app(app(app(filter2(),app(f,x)),f),x),xs) app#(app(app(app(filter2(),true()),f),x),xs) -> app#(filter(),f) app#(app(app(app(filter2(),true()),f),x),xs) -> app#(app(filter(),f),xs) app#(app(app(app(filter2(),true()),f),x),xs) -> app#(cons(),x) app#(app(app(app(filter2(),true()),f),x),xs) -> app#(app(cons(),x),app(app(filter(),f),xs)) app#(app(app(app(filter2(),false()),f),x),xs) -> app#(filter(),f) app#(app(app(app(filter2(),false()),f),x),xs) -> app#(app(filter(),f),xs) TRS: app(app(:(),app(app(:(),x),y)),z) -> app(app(:(),x),app(app(:(),y),z)) app(app(:(),app(app(+(),x),y)),z) -> app(app(+(),app(app(:(),x),z)),app(app(:(),y),z)) app(app(:(),z),app(app(+(),x),app(f,y))) -> app(app(:(),app(app(g(),z),y)),app(app(+(),x),a())) app(app(map(),f),nil()) -> nil() app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs)) app(app(filter(),f),nil()) -> nil() app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs) app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs)) app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs) graph: app#(app(filter(),f),app(app(cons(),x),xs)) -> app#(f,x) -> popout

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

job log

popout

actions

all output return to TRS Standard