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TRS Relat 75837 pair #381724858
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
n094.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.951854944229 seconds
cpu usage
2.595400692
max memory
4.59493376E8
stage attributes
key
value
output-size
3528
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(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=5 interpretation: [1] [0] [a] = [0] [0] [1], [1 1 1 1 1] [1 0 1 1 1] [1 0 1 1 1] [0 0 0 0 0] [1 0 0 0 1] [0 0 0 0 0] [f](x0, x1, x2) = [0 0 0 0 0]x0 + [0 0 0 0 0]x1 + [0 0 0 0 0]x2 [1 0 0 0 0] [0 0 1 1 1] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] , [1 0 0 0 1] [0] [1 1 1 0 0] [1] [g](x0) = [0 0 0 1 0]x0 + [0] [0 0 1 0 0] [0] [0 0 0 0 0] [0] orientation: [2 1 2 1 1] [1 0 1 1 1] [1 0 1 1 1] [1] [1 1 1 1 1] [1 0 1 1 1] [1 0 1 1 1] [0 0 0 0 0] [1 0 0 0 1] [0 0 0 0 0] [0] [0 0 0 0 0] [1 0 0 0 1] [0 0 0 0 0] f(g(x),y,z) = [0 0 0 0 0]x + [0 0 0 0 0]y + [0 0 0 0 0]z + [0] >= [0 0 0 0 0]x + [0 0 0 0 0]y + [0 0 0 0 0]z = f(x,y,g(z)) [1 0 0 0 1] [0 0 1 1 1] [0 0 0 0 0] [0] [1 0 0 0 0] [0 0 1 1 1] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [1 1 1 1 1] [1 0 1 1 1] [1 0 1 1 1] [1 1 1 1 1] [1 0 1 1 1] [1 0 1 1 1] [0 0 0 0 0] [1 0 0 0 1] [0 0 0 0 0] [0 0 0 0 0] [1 0 0 0 1] [0 0 0 0 0] f(x,y,g(z)) = [0 0 0 0 0]x + [0 0 0 0 0]y + [0 0 0 0 0]z >= [0 0 0 0 0]x + [0 0 0 0 0]y + [0 0 0 0 0]z = f(x,g(y),z) [1 0 0 0 0] [0 0 1 1 1] [0 0 0 0 0] [1 0 0 0 0] [0 0 1 1 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [1 1 1 1 1] [1 0 1 1 1] [2] [1 1 1 1 1] [1 0 1 1 1] [2] [0 0 0 0 0] [0 0 0 0 0] [2] [0 0 0 0 0] [0 0 0 0 0] [2] f(x,a(),z) = [0 0 0 0 0]x + [0 0 0 0 0]z + [0] >= [0 0 0 0 0]x + [0 0 0 0 0]z + [0] = f(x,g(a()),z) [1 0 0 0 0] [0 0 0 0 0] [1] [1 0 0 0 0] [0 0 0 0 0] [0] [0 0 0 0 0] [0 0 0 0 0] [0] [0 0 0 0 0] [0 0 0 0 0] [0] [1 1 1 1 1] [1 0 1 1 1] [1 0 1 1 1] [1 1 1 1 1] [1 0 1 1 1] [1 0 1 1 1] [0 0 0 0 0] [1 0 0 0 1] [0 0 0 0 0] [0 0 0 0 0] [1 0 0 0 1] [0 0 0 0 0] f(x,y,z) = [0 0 0 0 0]x + [0 0 0 0 0]y + [0 0 0 0 0]z >= [0 0 0 0 0]x + [0 0 0 0 0]y + [0 0 0 0 0]z = f(x,y,g(z)) [1 0 0 0 0] [0 0 1 1 1] [0 0 0 0 0] [1 0 0 0 0] [0 0 1 1 1] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] [0 0 0 0 0] 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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