details

property	value
status	complete
benchmark	2.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	Secret_07_TRS

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	4.54483 seconds
cpu usage	16.3653
user time	13.9456
system time	2.41967
max virtual memory	6354336.0
max residence set size	140524.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: h(x,x) -> h(a(),b()) g(g(x,a()),y) -> g(g(a(),y),g(a(),x)) f(g(x,y)) -> g(g(f(f(y)),h(a(),a())),x) h(h(f(f(x)),y),h(z,v)) -> h(h(f(z),f(f(f(y)))),h(v,x)) Proof: DP Processor: DPs: h#(x,x) -> h#(a(),b()) g#(g(x,a()),y) -> g#(a(),x) g#(g(x,a()),y) -> g#(a(),y) g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) f#(g(x,y)) -> h#(a(),a()) f#(g(x,y)) -> f#(y) f#(g(x,y)) -> f#(f(y)) f#(g(x,y)) -> g#(f(f(y)),h(a(),a())) f#(g(x,y)) -> g#(g(f(f(y)),h(a(),a())),x) h#(h(f(f(x)),y),h(z,v)) -> h#(v,x) h#(h(f(f(x)),y),h(z,v)) -> f#(y) h#(h(f(f(x)),y),h(z,v)) -> f#(f(y)) h#(h(f(f(x)),y),h(z,v)) -> f#(f(f(y))) h#(h(f(f(x)),y),h(z,v)) -> f#(z) h#(h(f(f(x)),y),h(z,v)) -> h#(f(z),f(f(f(y)))) h#(h(f(f(x)),y),h(z,v)) -> h#(h(f(z),f(f(f(y)))),h(v,x)) TRS: h(x,x) -> h(a(),b()) g(g(x,a()),y) -> g(g(a(),y),g(a(),x)) f(g(x,y)) -> g(g(f(f(y)),h(a(),a())),x) h(h(f(f(x)),y),h(z,v)) -> h(h(f(z),f(f(f(y)))),h(v,x)) TDG Processor: DPs: h#(x,x) -> h#(a(),b()) g#(g(x,a()),y) -> g#(a(),x) g#(g(x,a()),y) -> g#(a(),y) g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) f#(g(x,y)) -> h#(a(),a()) f#(g(x,y)) -> f#(y) f#(g(x,y)) -> f#(f(y)) f#(g(x,y)) -> g#(f(f(y)),h(a(),a())) f#(g(x,y)) -> g#(g(f(f(y)),h(a(),a())),x) h#(h(f(f(x)),y),h(z,v)) -> h#(v,x) h#(h(f(f(x)),y),h(z,v)) -> f#(y) h#(h(f(f(x)),y),h(z,v)) -> f#(f(y)) h#(h(f(f(x)),y),h(z,v)) -> f#(f(f(y))) h#(h(f(f(x)),y),h(z,v)) -> f#(z) h#(h(f(f(x)),y),h(z,v)) -> h#(f(z),f(f(f(y)))) h#(h(f(f(x)),y),h(z,v)) -> h#(h(f(z),f(f(f(y)))),h(v,x)) TRS: h(x,x) -> h(a(),b()) g(g(x,a()),y) -> g(g(a(),y),g(a(),x)) f(g(x,y)) -> g(g(f(f(y)),h(a(),a())),x) h(h(f(f(x)),y),h(z,v)) -> h(h(f(z),f(f(f(y)))),h(v,x)) graph: f#(g(x,y)) -> f#(f(y)) -> f#(g(x,y)) -> g#(g(f(f(y)),h(a(),a())),x) f#(g(x,y)) -> f#(f(y)) -> f#(g(x,y)) -> g#(f(f(y)),h(a(),a())) f#(g(x,y)) -> f#(f(y)) -> f#(g(x,y)) -> f#(f(y)) f#(g(x,y)) -> f#(f(y)) -> f#(g(x,y)) -> f#(y) f#(g(x,y)) -> f#(f(y)) -> f#(g(x,y)) -> h#(a(),a()) f#(g(x,y)) -> f#(y) -> f#(g(x,y)) -> g#(g(f(f(y)),h(a(),a())),x) f#(g(x,y)) -> f#(y) -> f#(g(x,y)) -> g#(f(f(y)),h(a(),a())) f#(g(x,y)) -> f#(y) -> f#(g(x,y)) -> f#(f(y)) f#(g(x,y)) -> f#(y) -> f#(g(x,y)) -> f#(y) f#(g(x,y)) -> f#(y) -> f#(g(x,y)) -> h#(a(),a()) f#(g(x,y)) -> g#(f(f(y)),h(a(),a())) -> g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) f#(g(x,y)) -> g#(f(f(y)),h(a(),a())) -> g#(g(x,a()),y) -> g#(a(),y) f#(g(x,y)) -> g#(f(f(y)),h(a(),a())) -> g#(g(x,a()),y) -> g#(a(),x) f#(g(x,y)) -> g#(g(f(f(y)),h(a(),a())),x) -> g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) f#(g(x,y)) -> g#(g(f(f(y)),h(a(),a())),x) -> g#(g(x,a()),y) -> g#(a(),y) f#(g(x,y)) -> g#(g(f(f(y)),h(a(),a())),x) -> g#(g(x,a()),y) -> g#(a(),x) f#(g(x,y)) -> h#(a(),a()) -> h#(h(f(f(x)),y),h(z,v)) -> h#(h(f(z),f(f(f(y)))),h(v,x)) f#(g(x,y)) -> h#(a(),a()) -> h#(h(f(f(x)),y),h(z,v)) -> h#(f(z),f(f(f(y)))) f#(g(x,y)) -> h#(a(),a()) -> h#(h(f(f(x)),y),h(z,v)) -> f#(z) f#(g(x,y)) -> h#(a(),a()) -> h#(h(f(f(x)),y),h(z,v)) -> f#(f(f(y))) f#(g(x,y)) -> h#(a(),a()) -> h#(h(f(f(x)),y),h(z,v)) -> f#(f(y)) f#(g(x,y)) -> h#(a(),a()) -> h#(h(f(f(x)),y),h(z,v)) -> f#(y) f#(g(x,y)) -> h#(a(),a()) -> h#(h(f(f(x)),y),h(z,v)) -> h#(v,x) f#(g(x,y)) -> h#(a(),a()) -> h#(x,x) -> h#(a(),b()) g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) -> g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) -> g#(g(x,a()),y) -> g#(a(),y) g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) -> g#(g(x,a()),y) -> g#(a(),x) g#(g(x,a()),y) -> g#(a(),y) -> g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) g#(g(x,a()),y) -> g#(a(),y) -> g#(g(x,a()),y) -> g#(a(),y) g#(g(x,a()),y) -> g#(a(),y) -> g#(g(x,a()),y) -> g#(a(),x) g#(g(x,a()),y) -> g#(a(),x) -> g#(g(x,a()),y) -> g#(g(a(),y),g(a(),x)) popout

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

job log

popout

actions

all output return to TRS Standard