details

property	value
status	complete
benchmark	#3.37_rand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	INVY_15

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	1.75063 seconds
cpu usage	5.87725
user time	4.3842
system time	1.49305
max virtual memory	6014104.0
max residence set size	65540.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: strict: not(true()) -> false() not(false()) -> true() evenodd(x,0()) -> not(evenodd(x,s(0()))) evenodd(0(),s(0())) -> false() evenodd(s(x),s(0())) -> evenodd(x,0()) weak: rand(x) -> x rand(x) -> rand(s(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [2 0] [1 1] [0] [evenodd](x0, x1) = [0 0]x0 + [0 0]x1 + [3], [1 0] [0] [not](x0) = [0 0]x0 + [1], [0] [0] = [2], [1 1] [s](x0) = [0 0]x0, [0] [true] = [1], [2 2] [2] [rand](x0) = [0 2]x0 + [1], [0] [false] = [0] orientation: [0] [0] not(true()) = [1] >= [0] = false() [0] [0] not(false()) = [1] >= [1] = true() [2 0] [2] [2 0] [2] evenodd(x,0()) = [0 0]x + [3] >= [0 0]x + [1] = not(evenodd(x,s(0()))) [2] [0] evenodd(0(),s(0())) = [3] >= [0] = false() [2 2] [2] [2 0] [2] evenodd(s(x),s(0())) = [0 0]x + [3] >= [0 0]x + [3] = evenodd(x,0()) [2 2] [2] rand(x) = [0 2]x + [1] >= x = x [2 2] [2] [2 2] [2] rand(x) = [0 2]x + [1] >= [0 0]x + [1] = rand(s(x)) problem: strict: not(true()) -> false() not(false()) -> true() evenodd(x,0()) -> not(evenodd(x,s(0()))) evenodd(s(x),s(0())) -> evenodd(x,0()) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [1 0] [2 0] [evenodd](x0, x1) = [0 0]x0 + [0 0]x1, [1 2] [not](x0) = [0 1]x0, [0] [0] = [0], [1 0] [s](x0) = [0 0]x0, [1] [true] = [1], [1 2] [rand](x0) = [0 1]x0, [0] [false] = [1] orientation: [3] [0] not(true()) = [1] >= [1] = false() [2] [1] not(false()) = [1] >= [1] = true() [1 0] [1 0] evenodd(x,0()) = [0 0]x >= [0 0]x = not(evenodd(x,s(0()))) [1 0] [1 0] popout

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