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TRS Stand 20472 pair #381712921
details
property
value
status
complete
benchmark
lescanne.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n090.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.494667768478 seconds
cpu usage
0.798559329
max memory
1.40218368E8
stage attributes
key
value
output-size
1743
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: div(X,e()) -> i(X) i(div(X,Y)) -> div(Y,X) div(div(X,Y),Z) -> div(Y,div(i(X),Z)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [i](x0) = [0 0 0]x0 [0 0 0] , [1 0 1] [1 0 1] [div](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1] [e] = [0] [0] orientation: [1 0 1] [1] [1 0 1] div(X,e()) = [0 0 0]X + [0] >= [0 0 0]X = i(X) [0 0 0] [0] [0 0 0] [1 0 1] [1 0 1] [1 0 1] [1 0 1] i(div(X,Y)) = [0 0 0]X + [0 0 0]Y >= [0 0 0]X + [0 0 0]Y = div(Y,X) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 0 1] [1 0 1] [1 0 1] [1 0 1] [1 0 1] [1 0 1] div(div(X,Y),Z) = [0 0 0]X + [0 0 0]Y + [0 0 0]Z >= [0 0 0]X + [0 0 0]Y + [0 0 0]Z = div(Y,div(i(X),Z)) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] problem: i(div(X,Y)) -> div(Y,X) div(div(X,Y),Z) -> div(Y,div(i(X),Z)) Matrix Interpretation Processor: dim=1 interpretation: [i](x0) = 2x0, [div](x0, x1) = 2x0 + x1 + 1 orientation: i(div(X,Y)) = 4X + 2Y + 2 >= X + 2Y + 1 = div(Y,X) div(div(X,Y),Z) = 4X + 2Y + Z + 3 >= 4X + 2Y + Z + 2 = div(Y,div(i(X),Z)) problem: Qed
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