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TRS Relat 75837 pair #381725070
details
property
value
status
complete
benchmark
#3.49_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
3.6444478035 seconds
cpu usage
13.342566876
max memory
1.033314304E9
stage attributes
key
value
output-size
3978
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(c(s(x),y)) -> f(c(x,s(y))) f(c(s(x),s(y))) -> g(c(x,y)) g(c(x,s(y))) -> g(c(s(x),y)) g(c(s(x),s(y))) -> f(c(x,y)) weak: rand(x) -> x rand(x) -> rand(s(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [2 0] [1] [rand](x0) = [0 2]x0 + [0], [2 1] [g](x0) = [2 0]x0, [2 1] [f](x0) = [2 0]x0, [1 0] [1 1] [0] [c](x0, x1) = [0 2]x0 + [0 0]x1 + [2], [s](x0) = x0 orientation: [2 2] [2 2] [2] [2 2] [2 2] [2] f(c(s(x),y)) = [2 0]x + [2 2]y + [0] >= [2 0]x + [2 2]y + [0] = f(c(x,s(y))) [2 2] [2 2] [2] [2 2] [2 2] [2] f(c(s(x),s(y))) = [2 0]x + [2 2]y + [0] >= [2 0]x + [2 2]y + [0] = g(c(x,y)) [2 2] [2 2] [2] [2 2] [2 2] [2] g(c(x,s(y))) = [2 0]x + [2 2]y + [0] >= [2 0]x + [2 2]y + [0] = g(c(s(x),y)) [2 2] [2 2] [2] [2 2] [2 2] [2] g(c(s(x),s(y))) = [2 0]x + [2 2]y + [0] >= [2 0]x + [2 2]y + [0] = f(c(x,y)) [2 0] [1] rand(x) = [0 2]x + [0] >= x = x [2 0] [1] [2 0] [1] rand(x) = [0 2]x + [0] >= [0 2]x + [0] = rand(s(x)) problem: strict: f(c(s(x),y)) -> f(c(x,s(y))) f(c(s(x),s(y))) -> g(c(x,y)) g(c(x,s(y))) -> g(c(s(x),y)) g(c(s(x),s(y))) -> f(c(x,y)) weak: rand(x) -> rand(s(x)) Matrix Interpretation Processor: dim=2 interpretation: [2 0] [rand](x0) = [0 0]x0, [1 1] [g](x0) = [1 1]x0, [1 1] [f](x0) = [1 1]x0, [2 1] [2 0] [1] [c](x0, x1) = [0 0]x0 + [0 1]x1 + [0], [0] [s](x0) = x0 + [1] orientation: [2 1] [2 1] [2] [2 1] [2 1] [2] f(c(s(x),y)) = [2 1]x + [2 1]y + [2] >= [2 1]x + [2 1]y + [2] = f(c(x,s(y))) [2 1] [2 1] [3] [2 1] [2 1] [1] f(c(s(x),s(y))) = [2 1]x + [2 1]y + [3] >= [2 1]x + [2 1]y + [1] = g(c(x,y)) [2 1] [2 1] [2] [2 1] [2 1] [2] g(c(x,s(y))) = [2 1]x + [2 1]y + [2] >= [2 1]x + [2 1]y + [2] = g(c(s(x),y)) [2 1] [2 1] [3] [2 1] [2 1] [1] g(c(s(x),s(y))) = [2 1]x + [2 1]y + [3] >= [2 1]x + [2 1]y + [1] = f(c(x,y)) [2 0] [2 0] rand(x) = [0 0]x >= [0 0]x = rand(s(x)) problem: strict: f(c(s(x),y)) -> f(c(x,s(y))) g(c(x,s(y))) -> g(c(s(x),y)) weak: rand(x) -> rand(s(x))
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