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SRS Relative pair #487520974
details
property
value
status
complete
benchmark
zr09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Mixed_relative_SRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.43594312668 seconds
cpu usage
4.583227149
max memory
8.79570944E8
stage attributes
key
value
output-size
1924
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: strict: a(b(x1)) -> b(a(x1)) d(c(x1)) -> d(a(x1)) weak: a(x1) -> b(c(x1)) b(c(x1)) -> a(c(x1)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [a](x0) = [0 0]x0, [2 1] [0] [d](x0) = [0 1]x0 + [1], [1 0] [b](x0) = [0 0]x0, [1 0] [0] [c](x0) = [0 2]x0 + [2] orientation: [1 0] [1 0] a(b(x1)) = [0 0]x1 >= [0 0]x1 = b(a(x1)) [2 2] [2] [2 0] [0] d(c(x1)) = [0 2]x1 + [3] >= [0 0]x1 + [1] = d(a(x1)) [1 0] [1 0] a(x1) = [0 0]x1 >= [0 0]x1 = b(c(x1)) [1 0] [1 0] b(c(x1)) = [0 0]x1 >= [0 0]x1 = a(c(x1)) problem: strict: a(b(x1)) -> b(a(x1)) weak: a(x1) -> b(c(x1)) b(c(x1)) -> a(c(x1)) String Reversal Processor: strict: b(a(x1)) -> a(b(x1)) weak: a(x1) -> c(b(x1)) c(b(x1)) -> c(a(x1)) Matrix Interpretation Processor: dim=2 interpretation: [1 1] [0] [a](x0) = [0 2]x0 + [2], [1 1] [b](x0) = [0 1]x0, [1 0] [c](x0) = [0 0]x0 orientation: [1 3] [2] [1 2] [0] b(a(x1)) = [0 2]x1 + [2] >= [0 2]x1 + [2] = a(b(x1)) [1 1] [0] [1 1] a(x1) = [0 2]x1 + [2] >= [0 0]x1 = c(b(x1)) [1 1] [1 1] c(b(x1)) = [0 0]x1 >= [0 0]x1 = c(a(x1)) problem: strict: weak: a(x1) -> c(b(x1)) c(b(x1)) -> c(a(x1)) Qed
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