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TRS Relat 75837 pair #381724940
details
property
value
status
complete
benchmark
rt1-3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n014.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.27303004265 seconds
cpu usage
3.927864968
max memory
7.76368128E8
stage attributes
key
value
output-size
1733
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: t(f(x),g(y),f(z)) -> t(z,g(x),g(y)) t(g(x),g(y),f(z)) -> t(f(y),f(z),x) weak: f(g(x)) -> g(f(x)) g(f(x)) -> f(g(x)) f(f(x)) -> g(g(x)) g(g(x)) -> f(f(x)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [1 0] [1 0] [t](x0, x1, x2) = [1 0]x0 + [1 0]x1 + [1 0]x2, [1 0] [1] [g](x0) = [0 0]x0 + [0], [1 0] [1] [f](x0) = [0 0]x0 + [0] orientation: [1 0] [1 0] [1 0] [3] [1 0] [1 0] [1 0] [2] t(f(x),g(y),f(z)) = [1 0]x + [1 0]y + [1 0]z + [3] >= [1 0]x + [1 0]y + [1 0]z + [2] = t(z,g(x),g(y)) [1 0] [1 0] [1 0] [3] [1 0] [1 0] [1 0] [2] t(g(x),g(y),f(z)) = [1 0]x + [1 0]y + [1 0]z + [3] >= [1 0]x + [1 0]y + [1 0]z + [2] = t(f(y),f(z),x) [1 0] [2] [1 0] [2] f(g(x)) = [0 0]x + [0] >= [0 0]x + [0] = g(f(x)) [1 0] [2] [1 0] [2] g(f(x)) = [0 0]x + [0] >= [0 0]x + [0] = f(g(x)) [1 0] [2] [1 0] [2] f(f(x)) = [0 0]x + [0] >= [0 0]x + [0] = g(g(x)) [1 0] [2] [1 0] [2] g(g(x)) = [0 0]x + [0] >= [0 0]x + [0] = f(f(x)) problem: strict: weak: f(g(x)) -> g(f(x)) g(f(x)) -> f(g(x)) f(f(x)) -> g(g(x)) g(g(x)) -> f(f(x)) Qed
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