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Proofgold Proposition
∀ x0 x1 x2 x3 .
atleastp
(
setsum
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x2
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
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x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
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(
setprod
x0
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setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
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(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
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(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
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x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
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(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x2
)
)
(
setsum
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x0
(
setprod
(
setexp
x1
33cc2..
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(
setexp
x3
50a6b..
)
)
)
(
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(
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x0
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setprod
(
setexp
x1
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x1
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x2
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setprod
x2
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x2
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x1
x3
)
)
(
setsum
(
setprod
x0
x1
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
50a6b..
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
(
setsum
(
setprod
x0
(
setexp
x2
33cc2..
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
(
setexp
x3
33cc2..
)
)
)
(
setsum
(
setprod
x0
(
setprod
x2
x3
)
)
(
setsum
(
setprod
x0
x2
)
(
setsum
(
setprod
x0
(
setexp
x3
50a6b..
)
)
(
setsum
(
setprod
x0
(
setexp
x3
33cc2..
)
)
(
setsum
(
setprod
x0
x3
)
x0
)
)
)
)
)
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6a551..
)
(
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(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
50a6b..
)
(
setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
50a6b..
)
)
)
)
(
setsum
(
setprod
x0
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setprod
(
setexp
x1
50a6b..
)
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setprod
(
setexp
x2
33cc2..
)
(
setexp
x3
33cc2..
)
)
)
)
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x0
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setprod
(
setexp
x1
50a6b..
)
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setprod
(
setexp
x2
33cc2..
)
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)
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)
(
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(
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setprod
(
setexp
x1
50a6b..
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(
setexp
x2
33cc2..
)
)
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(
setsum
(
setprod
x0
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setprod
(
setexp
x1
50a6b..
)
(
setprod
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(
setexp
x3
50a6b..
)
)
)
)
(
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(
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(
setexp
x1
50a6b..
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setprod
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(
setexp
x3
33cc2..
)
)
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)
(
setsum
(
setprod
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setprod
(
setexp
x1
50a6b..
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setprod
x2
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setsum
(
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x0
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setprod
(
setexp
x1
50a6b..
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)
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x1
50a6b..
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setexp
x3
50a6b..
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(
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50a6b..
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setexp
x3
33cc2..
)
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(
setsum
(
setprod
x0
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setprod
(
setexp
x1
50a6b..
)
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(
setprod
x0
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x1
50a6b..
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)
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(
setexp
x1
33cc2..
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(
setexp
x2
50a6b..
)
(
setexp
x3
50a6b..
)
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)
)
(
setsum
(
setprod
x0
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setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
(
setexp
x3
33cc2..
)
)
)
)
(
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(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
50a6b..
)
x3
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setexp
x2
50a6b..
)
)
)
(
setsum
(
setprod
x0
(
setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
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(
setexp
x3
50a6b..
)
)
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(
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(
setprod
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setprod
(
setexp
x1
33cc2..
)
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(
setexp
x2
33cc2..
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(
setexp
x3
33cc2..
)
)
)
)
(
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(
setprod
x0
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setprod
(
setexp
x1
33cc2..
)
(
setprod
(
setexp
x2
33cc2..
)
x3
)
)
)
(
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(
setprod
x0
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(
setexp
x1
33cc2..
)
(
setexp
x2
33cc2..
)
)
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(
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(
setprod
x0
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setprod
(
setexp
x1
33cc2..
)
(
setprod
x2
(
setexp
x3
50a6b..
)
)
)
)
(
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(
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x0
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(
setexp
x1
33cc2..
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(
setprod
x2
(
setexp
x3
33cc2..
)
)
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)
(
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(
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(
setexp
x1
33cc2..
)
(
setprod
x2
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)
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(
setexp
x1
33cc2..
)
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)
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(
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x1
33cc2..
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(
setexp
x3
50a6b..
)
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x0
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(
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x1
33cc2..
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x3
33cc2..
)
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(
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(
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(
setexp
x1
33cc2..
)
x3
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33cc2..
)
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(
setexp
x2
50a6b..
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setexp
x3
50a6b..
)
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)
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(
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x0
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setexp
x2
50a6b..
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(
setexp
x3
33cc2..
)
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)
)
(
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(
setexp
x2
50a6b..
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50a6b..
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x2
33cc2..
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setexp
x3
50a6b..
)
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(
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(
setexp
x2
33cc2..
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setexp
x3
33cc2..
)
)
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(
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setexp
x2
33cc2..
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x0
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33cc2..
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setprod
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x3
50a6b..
)
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setexp
x3
33cc2..
)
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x2
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50a6b..
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x3
50a6b..
)
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(
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x0
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(
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x2
50a6b..
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⟶
False
type
prop
theory
HF
name
-
proof
PUbQq..
Megalodon
-
proofgold address
TMRj7..
creator
3149
PrGxv..
/
8aa36..
owner
3149
PrGxv..
/
8aa36..
term root
fda07..