details

property	value
status	complete
benchmark	motivation.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	Mixed_TRS

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.43603 seconds
cpu usage	0.683342
user time	0.533752
system time	0.14959
max virtual memory	96176.0
max residence set size	59628.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: g(h(g(x))) -> g(x) g(g(x)) -> g(h(g(x))) h(h(x)) -> h(f(h(x),x)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [0] [h](x0) = [0 1 1]x0 + [0] [1 0 1] [1], [1 0 0] [1] [g](x0) = [0 0 0]x0 + [0] [0 0 0] [0], [1 0 0] [1 0 1] [0] [f](x0, x1) = [0 0 0]x0 + [1 1 0]x1 + [1] [0 0 0] [0 0 0] [0] orientation: [1 0 0] [2] [1 0 0] [1] g(h(g(x))) = [0 0 0]x + [0] >= [0 0 0]x + [0] = g(x) [0 0 0] [0] [0 0 0] [0] [1 0 0] [2] [1 0 0] [2] g(g(x)) = [0 0 0]x + [0] >= [0 0 0]x + [0] = g(h(g(x))) [0 0 0] [0] [0 0 0] [0] [2 0 2] [1] [2 0 2] [0] h(h(x)) = [1 1 2]x + [1] >= [1 1 0]x + [1] = h(f(h(x),x)) [2 0 2] [2] [2 0 2] [1] problem: g(g(x)) -> g(h(g(x))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [h](x0) = [0 0 0]x0 [0 0 0] , [1 0 1] [0] [g](x0) = [0 0 0]x0 + [0] [0 0 0] [1] orientation: [1 0 1] [1] [1 0 1] [0] g(g(x)) = [0 0 0]x + [0] >= [0 0 0]x + [0] = g(h(g(x))) [0 0 0] [1] [0 0 0] [1] problem: Qed popout

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

job log

popout

actions

all output return to TRS Standard