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TRS Stand 20472 pair #381710875
details
property
value
status
complete
benchmark
20.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n004.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.519901990891 seconds
cpu usage
0.892355797
max memory
1.97554176E8
stage attributes
key
value
output-size
1559
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: not(not(x)) -> x not(or(x,y)) -> and(not(not(not(x))),not(not(not(y)))) not(and(x,y)) -> or(not(not(not(x))),not(not(not(y)))) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [1 2] [0] [and](x0, x1) = [0 3]x0 + [0 3]x1 + [1], [1 0] [1 2] [0] [or](x0, x1) = [0 3]x0 + [0 3]x1 + [1], [1 1] [not](x0) = [0 1]x0 orientation: [1 2] not(not(x)) = [0 1]x >= x = x [1 3] [1 5] [1] [1 3] [1 5] [0] not(or(x,y)) = [0 3]x + [0 3]y + [1] >= [0 3]x + [0 3]y + [1] = and(not(not(not(x))),not(not(not(y)))) [1 3] [1 5] [1] [1 3] [1 5] [0] not(and(x,y)) = [0 3]x + [0 3]y + [1] >= [0 3]x + [0 3]y + [1] = or(not(not(not(x))),not(not(not(y)))) problem: not(not(x)) -> x Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [0] [not](x0) = [0 0 1]x0 + [0] [0 1 0] [1] orientation: [1 1 1] [1] not(not(x)) = [0 1 0]x + [1] >= x = x [0 0 1] [1] problem: Qed
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