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TRS Relat 75837 pair #381724822
details
property
value
status
complete
benchmark
rt1-4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n089.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.10334396362 seconds
cpu usage
3.238806584
max memory
5.7071616E8
stage attributes
key
value
output-size
1387
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(el(x),y) -> f(x,el(y)) weak: f(x,y) -> f(l(x),y) f(x,y) -> f(x,r(y)) l(el(x)) -> el(l(x)) el(r(x)) -> r(el(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [r](x0) = x0, [l](x0) = x0, [2 2] [1 0] [f](x0, x1) = [2 0]x0 + [2 0]x1, [0] [el](x0) = x0 + [1] orientation: [2 2] [1 0] [2] [2 2] [1 0] f(el(x),y) = [2 0]x + [2 0]y + [0] >= [2 0]x + [2 0]y = f(x,el(y)) [2 2] [1 0] [2 2] [1 0] f(x,y) = [2 0]x + [2 0]y >= [2 0]x + [2 0]y = f(l(x),y) [2 2] [1 0] [2 2] [1 0] f(x,y) = [2 0]x + [2 0]y >= [2 0]x + [2 0]y = f(x,r(y)) [0] [0] l(el(x)) = x + [1] >= x + [1] = el(l(x)) [0] [0] el(r(x)) = x + [1] >= x + [1] = r(el(x)) problem: strict: weak: f(x,y) -> f(l(x),y) f(x,y) -> f(x,r(y)) l(el(x)) -> el(l(x)) el(r(x)) -> r(el(x)) Qed
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