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TRS Relat 75837 pair #381724971
details
property
value
status
complete
benchmark
#3.29_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n022.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.29555797577 seconds
cpu usage
4.013693988
max memory
5.61647616E8
stage attributes
key
value
output-size
2827
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: 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: [1 1] [1] [rand](x0) = [0 2]x0 + [0], [3 3] [2 2] [1 1] [0] [f](x0, x1, x2) = [0 2]x0 + [0 2]x1 + [0 0]x2 + [2], [s](x0) = x0 orientation: [3 3] [3 3] [0] [3 3] [3 3] [0] f(s(x),y,y) = [0 2]x + [0 2]y + [2] >= [0 2]x + [0 2]y + [2] = f(y,x,s(x)) [1 1] [1] rand(x) = [0 2]x + [0] >= x = x [1 1] [1] [1 1] [1] rand(x) = [0 2]x + [0] >= [0 2]x + [0] = rand(s(x)) problem: strict: f(s(x),y,y) -> f(y,x,s(x)) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=5 interpretation: [1 0 0 0 0] [1] [0 0 0 0 0] [0] [rand](x0) = [0 0 0 0 0]x0 + [0] [1 0 0 0 0] [0] [0 0 0 0 0] [0], [1 1 1 0 1] [1 1 0 0 1] [1 0 1 0 0] [0] [0 0 1 0 1] [0 0 0 0 1] [0 0 1 0 0] [1] [f](x0, x1, x2) = [1 0 0 1 0]x0 + [0 0 0 0 0]x1 + [1 0 0 1 0]x2 + [1] [0 0 1 0 0] [0 0 0 0 0] [0 0 1 0 0] [0] [1 0 1 0 0] [1 0 0 0 0] [0 0 1 0 0] [0], [1 0 0 0 0] [0] [1 1 0 0 0] [0] [s](x0) = [1 0 0 0 1]x0 + [0] [0 1 0 0 0] [0] [0 0 0 0 1] [1] orientation: [3 1 0 0 2] [2 1 1 0 1] [1] [3 1 0 0 2] [1 1 1 0 1] [0] [1 0 0 0 2] [0 0 1 0 1] [2] [1 0 0 0 2] [0 0 1 0 1] [1] f(s(x),y,y) = [1 1 0 0 0]x + [1 0 0 1 0]y + [1] >= [1 1 0 0 0]x + [1 0 0 1 0]y + [1] = f(y,x,s(x)) [1 0 0 0 1] [0 0 1 0 0] [0] [1 0 0 0 1] [0 0 1 0 0] [0] [2 0 0 0 1] [1 0 1 0 0] [0] [2 0 0 0 1] [1 0 1 0 0] [0] [1 0 0 0 0] [1] [1 0 0 0 0] [1] [0 0 0 0 0] [0] [0 0 0 0 0] [0] rand(x) = [0 0 0 0 0]x + [0] >= [0 0 0 0 0]x + [0] = rand(s(x)) [1 0 0 0 0] [0] [1 0 0 0 0] [0] [0 0 0 0 0] [0] [0 0 0 0 0] [0] problem: strict: weak: rand(x) -> rand(s(x)) Qed
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