details

property	value
status	complete
benchmark	4.38.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n192.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.400036 seconds
cpu usage	0.587237
user time	0.441267
system time	0.14597
max virtual memory	96176.0
max residence set size	57984.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: g(f(x,y),z) -> f(x,g(y,z)) g(h(x,y),z) -> g(x,f(y,z)) g(x,h(y,z)) -> h(g(x,y),z) Proof: Matrix Interpretation Processor: dim=1 interpretation: [g](x0, x1) = x0 + 2x1, [f](x0, x1) = 2x0 + x1 + 1, [h](x0, x1) = x0 + 4x1 + 4 orientation: g(f(x,y),z) = 2x + y + 2z + 1 >= 2x + y + 2z + 1 = f(x,g(y,z)) g(h(x,y),z) = x + 4y + 2z + 4 >= x + 4y + 2z + 2 = g(x,f(y,z)) g(x,h(y,z)) = x + 2y + 8z + 8 >= x + 2y + 4z + 4 = h(g(x,y),z) problem: g(f(x,y),z) -> f(x,g(y,z)) Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [1 0 0] [g](x0, x1) = [0 1 1]x0 + [0 0 0]x1 [0 0 0] [1 0 0] , [1 0 0] [0] [f](x0, x1) = [0 0 0]x0 + x1 + [1] [0 0 0] [0] orientation: [1 0 0] [1 1 0] [1 0 0] [1] [1 0 0] [1 1 0] [1 0 0] [0] g(f(x,y),z) = [0 0 0]x + [0 1 1]y + [0 0 0]z + [1] >= [0 0 0]x + [0 1 1]y + [0 0 0]z + [1] = f(x,g(y,z)) [0 0 0] [0 0 0] [1 0 0] [0] [0 0 0] [0 0 0] [1 0 0] [0] problem: Qed popout

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job log

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actions

all output return to TRS Standard