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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 : ι → ι → ο . ∀ x3 x4 : ι → ι → ι . ∀ x5 : ι → ι → ο . ∀ x6 : ι → ο . ∀ x7 x8 x9 : ι → ι → ι . ∀ x10 : ι → ο . ∀ x11 x12 x13 x14 . ∀ x15 : ι → ι → ι . ∀ x16 : ι → ι . ∀ x17 x18 : ι → ι → ι . ∀ x19 : ι → ο . ∀ x20 x21 . ∀ x22 : ι → ι . ∀ x23 . ∀ x24 : ι → ο . ∀ x25 : ι → ι → ι . ∀ x26 : ι → ι → ι → ι . ∀ x27 x28 x29 x30 x31 x32 : ι → ι → ο . ∀ x33 x34 : ι → ι → ι . ∀ x35 . ∀ x36 : ι → ι → ι . ∀ x37 : ι → ι . ∀ x38 . ∀ x39 : ι → ο . ∀ x40 . ∀ x41 : ι → ο . ∀ x42 . ∀ x43 : ι → ο . ∀ x44 . ∀ x45 : ι → ο . ∀ x46 : ι → ι → ο . ∀ x47 . ∀ x48 : ι → ο . (∀ x49 x50 . x48 x50(x50 = x49False)x48 x49False)(∀ x49 x50 . x0 x49 x50x48 x50False)(∀ x49 . x48 x49(x49 = x47False)False)(∀ x49 x50 x51 . x0 x49 x50x2 x50 (x1 x51)x48 x51False)(∀ x49 x50 x51 . x0 x50 x51x2 x51 (x1 x49)(x2 x50 x49False)False)(∀ x49 . (x3 x47 x49 = x47False)False)(∀ x49 x50 x51 . x0 x50 x51x0 x50 x49x46 x51 x49False)(∀ x49 x50 . (x46 x50 x49False)(x0 (x4 x49 x50) x49False)False)(∀ x49 x50 . (x46 x49 x50False)(x0 (x4 x50 x49) x49False)False)(∀ x49 x50 . x5 x50 x49(x2 x50 (x1 x49)False)False)(∀ x49 x50 . x2 x50 (x1 x49)(x5 x50 x49False)False)(∀ x49 . (x3 x49 x47 = x49False)False)(∀ x49 x50 . x2 x49 x50(x48 x50False)(x0 x49 x50False)False)(∀ x49 x50 x51 . x6 x51(x50 = x49False)x0 (x8 x50 x49) x51(x0 x50 (x7 x51 x49)False)False)(∀ x49 x50 x51 . x6 x51x0 x50 (x7 x51 x49)(x0 (x8 x50 x49) x51False)False)(∀ x49 x50 x51 . x6 x51x0 x49 (x7 x51 x50)x49 = x50False)(∀ x49 x50 . x0 x50 x49(x2 x50 x49False)False)(∀ x49 x50 . x46 x49 x50(x46 x50 x49False)False)(∀ x49 . (x5 x49 x49False)False)(∀ x49 x50 . (x9 x49 x50 = x3 x49 x50False)False)((x45 x44False)False)(x48 x44False)(x43 x42False)((x10 x42False)False)((x6 x42False)False)((x10 x11False)False)((x41 x11False)False)((x6 x11False)False)(x48 x11False)((x10 x12False)False)((x41 x12False)False)((x6 x12False)False)((x41 x40False)False)((x6 x40False)False)((x39 x38False)False)((x10 x38False)False)((x6 x38False)False)((x6 x13False)False)(x48 x13False)((x10 x14False)False)((x6 x14False)False)(∀ x49 x50 x51 x52 . (x6 (x15 (x8 x50 x49) (x8 x52 x51))False)False)(∀ x49 x50 . (x6 (x37 (x8 x50 x49))False)False)(∀ x49 x50 . x6 x50(x6 (x3 x50 x49)False)False)(∀ x49 x50 . x48 x50x6 x50(x48 (x36 x50 x49)False)False)(∀ x49 x50 . x6 x50x48 x49(x48 (x36 x50 x49)False)False)(∀ x49 x50 . (x10 (x37 (x8 x50 x49))False)False)(∀ x49 x50 . x6 x50x10 x50x6 x49x10 x49(x45 (x15 x50 x49)False)False)(∀ x49 . x6 x49x10 x49(x45 (x37 x49)False)False)(∀ x49 . (x2 (x16 x49) x49False)False)((x48 x35False)False)(∀ x49 x50 . (x2 (x9 x49 x50) (x1 x49)False)False)(∀ x49 x50 . x6 x50x0 (x8 (x34 x49 x50) (x33 x49 x50)) x50(x32 x50 x49False)False)(∀ x49 x50 . x6 x50x0 (x8 (x33 x49 x50) (x34 x49 x50)) x50(x32 x50 x49False)False)(∀ x49 x50 . x6 x50x33 x49 x50 = x34 x49 x50(x32 x50 x49False)False)(∀ x49 x50 . x6 x50(x0 (x34 x49 x50) x49False)(x32 x50 x49False)False)(∀ x49 x50 . x6 x50(x0 (x33 x49 x50) x49False)(x32 x50 x49False)False)(∀ x49 x50 x51 x52 . x6 x52x32 x52 x49x0 x51 x49x0 x50 x49(x51 = x50False)(x0 (x8 x51 x50) x52False)(x0 (x8 x50 x51) x52False)False)(∀ x49 x50 . x6 x50x27 x50 x49x31 x50 x49x28 x50 x49x32 x50 x49x30 x50 x49(x29 x50 x49False)False)(∀ x49 x50 . x6 x50x29 x50 x49(x30 x50 x49False)False)(∀ x49 x50 . x6 x50x29 x50 x49(x32 x50 x49False)False)(∀ x49 x50 . x6 x50x29 x50 x49(x28 x50 x49False)False)(∀ x49 x50 . x6 x50x29 x50 x49(x31 x50 x49False)False)(∀ x49 x50 . x6 x50x29 x50 x49(x27 x50 x49False)False)(∀ x49 x50 . (x8 x50 x49 = x15 (x15 x50 x49) (x37 x50)False)False)(∀ x49 x50 x51 . x6 x51x0 x50 (x17 x49 x51)x46 (x7 x51 x50) (x17 x49 x51)(x30 x51 x49False)False)(∀ x49 x50 . x6 x50x17 x49 x50 = x47(x30 x50 x49False)False)(∀ x49 x50 . x6 x50(x5 (x17 x49 x50) x49False)(x30 x50 x49False)False)(∀ x49 x50 x51 . x6 x51x30 x51 x49x5 x50 x49(x50 = x47False)(x46 (x7 x51 (x26 x50 x49 x51)) x50False)False)(∀ x49 x50 x51 . x6 x51x30 x51 x49x5 x50 x49(x50 = x47False)(x0 (x26 x50 x49 x51) x50False)False)((x47 = x35False)False)(∀ x49 x50 . x6 x50(x7 x50 x49 = x9 (x18 x50 x49) (x37 x49)False)False)(∀ x49 x50 . x6 x50x0 (x8 (x25 x49 x50) (x25 x49 x50)) x50(x27 x50 x49False)False)(∀ x49 x50 . x6 x50(x0 (x25 x49 x50) x49False)(x27 x50 x49False)False)(∀ x49 x50 x51 . x6 x51x27 x51 x49x0 x50 x49(x0 (x8 x50 x50) x51False)False)(∀ x49 x50 . x6 x50(x18 x50 x49 = x36 x50 (x37 x49)False)False)(∀ x49 x50 . (x15 x50 x49 = x15 x49 x50False)False)(∀ x49 x50 . x45 x50x2 x49 (x1 x50)(x45 x49False)False)(∀ x49 x50 . x45 x50x2 x49 x50(x10 x49False)False)(∀ x49 x50 . x45 x50x2 x49 x50(x6 x49False)False)(∀ x49 . x48 x49(x45 x49False)False)(∀ x49 . x19 x49x6 x49x10 x49(x43 x49False)False)(∀ x49 . x19 x49x6 x49x10 x49(x10 x49False)False)(∀ x49 . x19 x49x6 x49x10 x49(x6 x49False)False)(∀ x49 . x6 x49x10 x49(x43 x49False)(x10 x49False)False)(∀ x49 . x6 x49x10 x49(x43 x49False)(x6 x49False)False)(∀ x49 . x6 x49x10 x49(x43 x49False)x19 x49False)(∀ x49 . x48 x49x6 x49(x41 x49False)False)(∀ x49 . x48 x49x6 x49(x6 x49False)False)(∀ x49 . x48 x49x6 x49x10 x49(x43 x49False)False)(∀ x49 . x48 x49x6 x49x10 x49(x10 x49False)False)(∀ x49 . x48 x49x6 x49x10 x49(x6 x49False)False)(∀ x49 . x48 x49x6 x49(x24 x49False)False)(∀ x49 . x48 x49x6 x49(x6 x49False)False)(∀ x49 x50 . x6 x50x10 x50x2 x49 (x1 x50)(x10 x49False)False)(∀ x49 x50 . x6 x50x2 x49 (x1 x50)(x6 x49False)False)(∀ x49 . x48 x49x6 x49x10 x49(x39 x49False)False)(∀ x49 . x48 x49x6 x49x10 x49(x10 x49False)False)(∀ x49 . x48 x49x6 x49x10 x49(x6 x49False)False)(∀ x49 . x48 x49(x6 x49False)False)(∀ x49 . x48 x49(x10 x49False)False)(∀ x49 x50 . x0 x49 x50x0 x50 x49False)(∀ x49 . x0 x49 x23x0 (x8 x49 (x22 x49)) x21False)(∀ x49 . x0 x49 x23(x0 (x22 x49) x23False)False)(x23 = x47False)((x5 x23 x20False)False)((x29 x21 x20False)False)((x6 x21False)False)False
type
prop
theory
HotG
name
-
proof
PULzY..
Megalodon
-
proofgold address
TMRtR..
creator
35142 PrPhD../d4138..
owner
35144 PrPhD../6c37f..
term root
7b8e9..