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TRS Relative pair #487520675
details
property
value
status
complete
benchmark
rt3-1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.690398931503 seconds
cpu usage
1.697382629
max memory
4.16587776E8
stage attributes
key
value
output-size
1441
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: f(g(x),y,z) -> f(x,y,g(z)) weak: f(x,y,g(z)) -> f(x,g(y),z) f(x,a(),z) -> f(x,g(a()),z) f(x,y,z) -> f(x,y,g(z)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 1] [2 0] [1 0] [f](x0, x1, x2) = [0 1]x0 + [0 0]x1 + [2 0]x2, [1 0] [0] [g](x0) = [0 2]x0 + [2], [0] [a] = [0] orientation: [1 2] [2 0] [1 0] [2] [1 1] [2 0] [1 0] f(g(x),y,z) = [0 2]x + [0 0]y + [2 0]z + [2] >= [0 1]x + [0 0]y + [2 0]z = f(x,y,g(z)) [1 1] [2 0] [1 0] [1 1] [2 0] [1 0] f(x,y,g(z)) = [0 1]x + [0 0]y + [2 0]z >= [0 1]x + [0 0]y + [2 0]z = f(x,g(y),z) [1 1] [1 0] [1 1] [1 0] f(x,a(),z) = [0 1]x + [2 0]z >= [0 1]x + [2 0]z = f(x,g(a()),z) [1 1] [2 0] [1 0] [1 1] [2 0] [1 0] f(x,y,z) = [0 1]x + [0 0]y + [2 0]z >= [0 1]x + [0 0]y + [2 0]z = f(x,y,g(z)) problem: strict: weak: f(x,y,g(z)) -> f(x,g(y),z) f(x,a(),z) -> f(x,g(a()),z) f(x,y,z) -> f(x,y,g(z)) Qed
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