details

property	value
status	complete
benchmark	#3.15_rand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	2.66504 seconds
cpu usage	9.4093
user time	7.18134
system time	2.22797
max virtual memory	6330832.0
max residence set size	68312.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: strict: average(s(x),y) -> average(x,s(y)) average(x,s(s(s(y)))) -> s(average(s(x),y)) average(0(),0()) -> 0() average(0(),s(0())) -> 0() average(0(),s(s(0()))) -> s(0()) weak: rand(x) -> x rand(x) -> rand(s(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [2 0] [2 0] [average](x0, x1) = [2 1]x0 + [0 0]x1, [2 0] [2] [rand](x0) = [0 2]x0 + [0], [s](x0) = x0, [0] [0] = [2] orientation: [2 0] [2 0] [2 0] [2 0] average(s(x),y) = [2 1]x + [0 0]y >= [2 1]x + [0 0]y = average(x,s(y)) [2 0] [2 0] [2 0] [2 0] average(x,s(s(s(y)))) = [2 1]x + [0 0]y >= [2 1]x + [0 0]y = s(average(s(x),y)) [0] [0] average(0(),0()) = [2] >= [2] = 0() [0] [0] average(0(),s(0())) = [2] >= [2] = 0() [0] [0] average(0(),s(s(0()))) = [2] >= [2] = s(0()) [2 0] [2] rand(x) = [0 2]x + [0] >= x = x [2 0] [2] [2 0] [2] rand(x) = [0 2]x + [0] >= [0 2]x + [0] = rand(s(x)) problem: strict: average(s(x),y) -> average(x,s(y)) average(x,s(s(s(y)))) -> s(average(s(x),y)) average(0(),0()) -> 0() average(0(),s(0())) -> 0() average(0(),s(s(0()))) -> s(0()) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [1 3] [1 0] [average](x0, x1) = [2 2]x0 + [0 0]x1, [2 2] [2] [rand](x0) = [0 0]x0 + [2], [s](x0) = x0, [0] [0] = [1] orientation: [1 3] [1 0] [1 3] [1 0] average(s(x),y) = [2 2]x + [0 0]y >= [2 2]x + [0 0]y = average(x,s(y)) [1 3] [1 0] [1 3] [1 0] average(x,s(s(s(y)))) = [2 2]x + [0 0]y >= [2 2]x + [0 0]y = s(average(s(x),y)) [3] [0] average(0(),0()) = [2] >= [1] = 0() [3] [0] average(0(),s(0())) = [2] >= [1] = 0() [3] [0] average(0(),s(s(0()))) = [2] >= [1] = s(0()) [2 2] [2] [2 2] [2] rand(x) = [0 0]x + [2] >= [0 0]x + [2] = rand(s(x)) problem: strict: average(s(x),y) -> average(x,s(y)) average(x,s(s(s(y)))) -> s(average(s(x),y)) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [2 1] [2 1] popout

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job log

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actions

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