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TRS Relat 75837 pair #381725046
details
property
value
status
complete
benchmark
#3.54_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
3.87792110443 seconds
cpu usage
14.244168355
max memory
9.59868928E8
stage attributes
key
value
output-size
4092
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: f(g(x)) -> g(f(f(x))) f(h(x)) -> h(g(x)) f'(s(x),y,y) -> f'(y,x,s(x)) weak: rand(x) -> x rand(x) -> rand(s(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [2 0] [1] [rand](x0) = [0 1]x0 + [0], [3 0] [1 0] [2 0] [0] [f'](x0, x1, x2) = [1 0]x0 + [0 0]x1 + [1 0]x2 + [2], [1 0] [s](x0) = [0 0]x0, [2 2] [h](x0) = [0 0]x0, [1 0] [f](x0) = [0 0]x0, [1 0] [g](x0) = [0 0]x0 orientation: [1 0] [1 0] f(g(x)) = [0 0]x >= [0 0]x = g(f(f(x))) [2 2] [2 0] f(h(x)) = [0 0]x >= [0 0]x = h(g(x)) [3 0] [3 0] [0] [3 0] [3 0] [0] f'(s(x),y,y) = [1 0]x + [1 0]y + [2] >= [1 0]x + [1 0]y + [2] = f'(y,x,s(x)) [2 0] [1] rand(x) = [0 1]x + [0] >= x = x [2 0] [1] [2 0] [1] rand(x) = [0 1]x + [0] >= [0 0]x + [0] = rand(s(x)) problem: strict: f(g(x)) -> g(f(f(x))) f(h(x)) -> h(g(x)) f'(s(x),y,y) -> f'(y,x,s(x)) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [2 0] [rand](x0) = [0 0]x0, [2 1] [1 1] [2 0] [f'](x0, x1, x2) = [0 2]x0 + [0 1]x1 + [1 1]x2, [1 0] [0] [s](x0) = [1 1]x0 + [1], [2 2] [2] [h](x0) = [0 0]x0 + [0], [1 0] [f](x0) = [0 0]x0, [1 1] [g](x0) = [0 0]x0 orientation: [1 1] [1 0] f(g(x)) = [0 0]x >= [0 0]x = g(f(f(x))) [2 2] [2] [2 2] [2] f(h(x)) = [0 0]x + [0] >= [0 0]x + [0] = h(g(x)) [3 1] [3 1] [1] [3 1] [2 1] [0] f'(s(x),y,y) = [2 2]x + [1 2]y + [2] >= [2 2]x + [0 2]y + [1] = f'(y,x,s(x)) [2 0] [2 0] rand(x) = [0 0]x >= [0 0]x = rand(s(x)) problem: strict: f(g(x)) -> g(f(f(x))) f(h(x)) -> h(g(x)) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2
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