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Proofgold Proposition

∀ x0 x1 x2 x3 : ι → ι → ο . ∀ x4 : ι → ο . ∀ x5 . ∀ x6 : ι → ι → ι . ∀ x7 . ∀ x8 : ι → ι . ∀ x9 . ∀ x10 : ι → ο . ∀ x11 . ∀ x12 : ι → ι . ∀ x13 : ι → ι → ι . ∀ x14 : ι → ι → ι → ο . ∀ x15 : ι → ι → ι . ∀ x16 x17 . ∀ x18 : ι → ι → ι → ι → ι → ι . ∀ x19 : ι → ο . ∀ x20 x21 x22 x23 . ∀ x24 : ι → ι → ι . ∀ x25 x26 : ι → ι → ι → ι → ι . ∀ x27 : ι → ι . ∀ x28 : ι → ι → ι . ∀ x29 x30 x31 . ∀ x32 : ι → ι → ι . ∀ x33 : ι → ι . ∀ x34 . ∀ x35 : ι → ι → ο . ∀ x36 x37 : ι → ι . ∀ x38 : ι → ι → ι . ∀ x39 : ι → ι . ∀ x40 : ι → ο . ∀ x41 . ∀ x42 x43 : ι → ο . ∀ x44 : ι → ι . ∀ x45 : ι → ι → ο . ∀ x46 : ι → ι → ι → ι → ο . ∀ x47 . ∀ x48 : ι → ι → ο . ∀ x49 : ι → ι . ∀ x50 : ι → ι → ι . ∀ x51 : ι → ι → ι → ι . ∀ x52 : ι → ι → ο . ∀ x53 x54 x55 : ι → ο . (∀ x56 x57 . x55 x57(x57 = x56False)x55 x56False)(∀ x56 x57 . x0 x56 x57x55 x57False)(∀ x56 x57 x58 x59 . x54 x59x48 x59 (x49 (x50 x56 x57))x53 x58x54 x58x0 x58 (x51 x56 x57 x59)(x52 x59 x58False)False)(∀ x56 x57 x58 x59 . x54 x59x48 x59 (x49 (x50 x56 x57))x54 x58x48 x58 (x49 (x50 x56 x57))x0 x58 (x51 x56 x57 x59)(x1 x58 x56False)False)(∀ x56 . x55 x56(x56 = x47False)False)(∀ x56 x57 x58 x59 . x54 x59x48 x59 (x49 (x50 x56 x57))x0 x58 (x51 x56 x57 x59)(x48 x58 (x49 (x50 x56 x57))False)False)(∀ x56 x57 x58 x59 . x54 x59x48 x59 (x49 (x50 x56 x57))x0 x58 (x51 x56 x57 x59)(x54 x58False)False)(∀ x56 x57 x58 . x0 x56 x57x48 x57 (x49 x58)x55 x58False)(∀ x56 x57 x58 x59 x60 . x54 x60x48 x60 (x49 (x50 x56 x57))x54 x59x48 x59 (x49 (x50 x56 x57))x53 x58x54 x58x52 x60 x58x46 x56 x57 x59 x60(x52 x59 x58False)False)(∀ x56 x57 x58 . x0 x57 x58x48 x58 (x49 x56)(x48 x57 x56False)False)(∀ x56 x57 . x45 x57 x56(x48 x57 (x49 x56)False)False)(∀ x56 x57 . x48 x57 (x49 x56)(x45 x57 x56False)False)(∀ x56 x57 . x48 x56 x57(x55 x57False)(x0 x56 x57False)False)(∀ x56 x57 . x0 x57 x56(x48 x57 x56False)False)(∀ x56 x57 . x53 x57x54 x57x53 x56x54 x56x52 x57 x56(x52 x56 x57False)False)(∀ x56 . (x45 x56 x56False)False)(∀ x56 x57 x58 . x48 x58 (x49 (x50 x56 x57))(x46 x56 x57 x58 x58False)False)(∀ x56 x57 . x53 x57x54 x57x53 x56x54 x56(x52 x57 x57False)False)(∀ x56 x57 x58 x59 . x48 x59 (x49 (x50 x58 x57))x45 x59 x56(x46 x58 x57 x59 x56False)False)(∀ x56 x57 x58 x59 . x48 x59 (x49 (x50 x58 x57))x46 x58 x57 x59 x56(x45 x59 x56False)False)(∀ x56 . (x54 (x44 x56)False)False)(∀ x56 . (x2 (x44 x56) x56False)False)(∀ x56 . (x43 (x44 x56)False)False)(∀ x56 . (x53 (x44 x56)False)False)((x42 x41False)False)(x55 x41False)(∀ x56 . (x40 x56False)x40 (x39 x56)False)(∀ x56 . (x40 x56False)(x48 (x39 x56) (x49 x56)False)False)(∀ x56 x57 . (x54 (x38 x56 x57)False)False)(∀ x56 x57 . (x3 (x38 x56 x57) x56False)False)(∀ x56 x57 . (x2 (x38 x57 x56) x56False)False)(∀ x56 x57 . (x53 (x38 x56 x57)False)False)(∀ x56 . (x55 x56False)(x40 (x37 x56)False)False)(∀ x56 . (x55 x56False)x55 (x37 x56)False)(∀ x56 . (x55 x56False)(x48 (x37 x56) (x49 x56)False)False)(x4 x5False)((x54 x5False)False)((x53 x5False)False)(∀ x56 . (x55 x56False)(x35 (x36 x56) x56False)False)(∀ x56 . (x55 x56False)(x48 (x36 x56) (x49 x56)False)False)((x54 x34False)False)((x43 x34False)False)((x53 x34False)False)(x55 x34False)(∀ x56 . x35 (x33 x56) x56False)(∀ x56 . (x48 (x33 x56) (x49 x56)False)False)(∀ x56 x57 . (x3 (x32 x56 x57) x56False)False)(∀ x56 x57 . (x2 (x32 x57 x56) x56False)False)(∀ x56 x57 . (x53 (x32 x56 x57)False)False)(∀ x56 x57 . (x55 x57False)(x55 x56False)x55 (x6 x56 x57)False)(∀ x56 x57 . (x55 x57False)(x55 x56False)(x54 (x6 x56 x57)False)False)(∀ x56 x57 . (x55 x57False)(x55 x56False)(x3 (x6 x56 x57) x56False)False)(∀ x56 x57 . (x55 x57False)(x55 x56False)(x2 (x6 x56 x57) x57False)False)(∀ x56 x57 . (x55 x57False)(x55 x56False)(x53 (x6 x56 x57)False)False)(∀ x56 x57 . (x55 x57False)(x55 x56False)(x48 (x6 x56 x57) (x49 (x50 x57 x56))False)False)((x54 x7False)False)((x43 x7False)False)((x53 x7False)False)(x55 x31False)(∀ x56 . (x55 (x8 x56)False)False)(∀ x56 . (x48 (x8 x56) (x49 x56)False)False)((x43 x9False)False)((x53 x9False)False)((x10 x11False)False)((x54 x11False)False)((x53 x11False)False)((x55 x30False)False)(∀ x56 . (x55 x56False)x55 (x12 x56)False)(∀ x56 . (x55 x56False)(x48 (x12 x56) (x49 x56)False)False)(∀ x56 x57 . (x3 (x13 x56 x57) x56False)False)(∀ x56 x57 . (x2 (x13 x57 x56) x56False)False)(∀ x56 x57 . (x53 (x13 x56 x57)False)False)(∀ x56 x57 . (x55 (x13 x56 x57)False)False)(∀ x56 x57 . (x48 (x13 x56 x57) (x49 (x50 x57 x56))False)False)((x53 x29False)False)(x55 x29False)(∀ x56 x57 . (x54 (x28 x56 x57)False)False)(∀ x56 x57 . (x3 (x28 x56 x57) x56False)False)(∀ x56 x57 . (x2 (x28 x57 x56) x56False)False)(∀ x56 x57 . (x53 (x28 x56 x57)False)False)(∀ x56 x57 . (x48 (x28 x56 x57) (x49 (x50 x57 x56))False)False)(∀ x56 x57 . (x14 (x15 x56 x57) x57 x56False)False)(∀ x56 x57 . (x54 (x15 x56 x57)False)False)(∀ x56 x57 . (x3 (x15 x56 x57) x56False)False)(∀ x56 x57 . (x2 (x15 x57 x56) x56False)False)(∀ x56 x57 . (x53 (x15 x56 x57)False)False)(∀ x56 x57 . (x48 (x15 x56 x57) (x49 (x50 x57 x56))False)False)((x54 x16False)False)((x53 x16False)False)(∀ x56 x57 . (x53 (x50 x56 x57)False)False)(∀ x56 x57 x58 . (x55 x58False)x55 x56x54 x57x48 x57 (x49 (x50 x58 x56))(x55 (x51 x58 x56 x57)False)False)((x55 x47False)False)(∀ x56 . x55 (x49 x56)False)(∀ x56 x57 . (x55 x57False)(x55 x56False)x55 (x50 x57 x56)False)(∀ x56 . (x48 (x27 x56) x56False)False)((x55 x17False)False)(∀ x56 x57 x58 x59 . x54 x59x48 x59 (x49 (x50 x56 x57))(x52 x59 (x26 x58 x59 x57 x56)False)(x0 (x25 x58 x59 x57 x56) x58False)(x58 = x51 x56 x57 x59False)False)(∀ x56 x57 x58 x59 . x54 x59x48 x59 (x49 (x50 x56 x57))(x1 (x26 x58 x59 x57 x56) x56False)(x0 (x25 x58 x59 x57 x56) x58False)(x58 = x51 x56 x57 x59False)False)(∀ x56 x57 x58 x59 . x54 x59x48 x59 (x49 (x50 x56 x57))(x26 x58 x59 x57 x56 = x25 x58 x59 x57 x56False)(x0 (x25 x58 x59 x57 x56) x58False)(x58 = x51 x56 x57 x59False)False)(∀ x56 x57 x58 x59 . x54 x59x48 x59 (x49 (x50 x56 x57))(x48 (x26 x58 x59 x57 x56) (x49 (x50 x56 x57))False)(x0 (x25 x58 x59 x57 x56) x58False)(x58 = x51 x56 x57 x59False)False)(∀ x56 x57 x58 x59 . x54 x59x48 x59 (x49 (x50 x56 x57))(x54 (x26 x58 x59 x57 x56)False)(x0 (x25 x58 x59 x57 x56) x58False)(x58 = x51 x56 x57 x59False)False)(∀ x56 x57 x58 x59 x60 . x54 x60x48 x60 (x49 (x50 x56 x57))x0 (x25 x59 x60 x57 x56) x59x54 x58x48 x58 (x49 (x50 x56 x57))x58 = x25 x59 x60 x57 x56x1 x58 x56x52 x60 x58(x59 = x51 x56 x57 x60False)False)(∀ x56 x57 x58 x59 x60 x61 . x54 x61x48 x61 (x49 (x50 x56 x57))x60 = x51 x56 x57 x61x54 x58x48 x58 (x49 (x50 x56 x57))x58 = x59x1 x58 x56x52 x61 x58(x0 x59 x60False)False)(∀ x56 x57 x58 x59 x60 . x54 x60x48 x60 (x49 (x50 x56 x57))x59 = x51 x56 x57 x60x0 x58 x59(x52 x60 (x18 x58 x59 x60 x57 x56)False)False)(∀ x56 x57 x58 x59 x60 . x54 x60x48 x60 (x49 (x50 x56 x57))x59 = x51 x56 x57 x60x0 x58 x59(x1 (x18 x58 x59 x60 x57 x56) x56False)False)(∀ x56 x57 x58 x59 x60 . x54 x60x48 x60 (x49 (x50 x56 x57))x59 = x51 x56 x57 x60x0 x58 x59(x18 x58 x59 x60 x57 x56 = x58False)False)(∀ x56 x57 x58 x59 x60 . x54 x60x48 x60 (x49 (x50 x56 x57))x59 = x51 x56 x57 x60x0 x58 x59(x48 (x18 x58 x59 x60 x57 x56) (x49 (x50 x56 x57))False)False)(∀ x56 x57 x58 x59 x60 . x54 x60x48 x60 (x49 (x50 x56 x57))x59 = x51 x56 x57 x60x0 x58 x59(x54 (x18 x58 x59 x60 x57 x56)False)False)(∀ x56 x57 . x0 (x24 x56 x57) x56(x45 x57 x56False)False)(∀ x56 x57 . (x0 (x24 x56 x57) x57False)(x45 x57 x56False)False)(∀ x56 x57 x58 . x45 x57 x58x0 x56 x57(x0 x56 x58False)False)((x47 = x17False)False)(∀ x56 x57 . x42 x57x48 x56 (x49 x57)(x42 x56False)False)(∀ x56 x57 . x55 x57x53 x56x3 x56 x57(x3 x56 x57False)False)(∀ x56 x57 . x55 x57x53 x56x3 x56 x57(x53 x56False)False)(∀ x56 x57 . x55 x57x53 x56x3 x56 x57(x55 x56False)False)(∀ x56 x57 . x42 x57x48 x56 x57(x54 x56False)False)(∀ x56 x57 . x42 x57x48 x56 x57(x53 x56False)False)(∀ x56 x57 . x55 x57x53 x56x2 x56 x57(x2 x56 x57False)False)(∀ x56 x57 . x55 x57x53 x56x2 x56 x57(x53 x56False)False)(∀ x56 x57 . x55 x57x53 x56x2 x56 x57(x55 x56False)False)(∀ x56 . x55 x56(x42 x56False)False)(∀ x56 x57 x58 . x53 x58x3 x58 x56x48 x57 (x49 x58)(x3 x57 x56False)False)(∀ x56 . x40 x56x53 x56x54 x56(x4 x56False)False)(∀ x56 . x40 x56x53 x56x54 x56(x54 x56False)False)(∀ x56 . x40 x56x53 x56x54 x56(x53 x56False)False)(∀ x56 x57 . x40 x57x48 x56 (x49 x57)(x40 x56False)False)(∀ x56 x57 x58 . x53 x58x2 x58 x56x48 x57 (x49 x58)(x2 x57 x56False)False)(∀ x56 . x53 x56x54 x56(x4 x56False)(x54 x56False)False)(∀ x56 . x53 x56x54 x56(x4 x56False)(x53 x56False)False)(∀ x56 . x53 x56x54 x56(x4 x56False)x40 x56False)(∀ x56 x57 . x55 x57x48 x56 (x49 x57)x35 x56 x57False)(∀ x56 x57 x58 . x55 x58x48 x56 (x49 (x50 x57 x58))(x55 x56False)False)(∀ x56 . x55 x56x53 x56(x43 x56False)False)(∀ x56 . x55 x56x53 x56(x53 x56False)False)(∀ x56 x57 . x48 x57 (x49 (x50 x56 x56))x14 x57 x56 x56(x1 x57 x56False)False)(∀ x56 . x55 x56x53 x56x54 x56(x4 x56False)False)(∀ x56 . x55 x56x53 x56x54 x56(x54 x56False)False)(∀ x56 . x55 x56x53 x56x54 x56(x53 x56False)False)(∀ x56 x57 . (x55 x57False)x48 x56 (x49 x57)x55 x56(x35 x56 x57False)False)(∀ x56 x57 x58 . x55 x58x48 x56 (x49 (x50 x58 x57))(x55 x56False)False)(∀ x56 . x55 x56x53 x56(x19 x56False)False)(∀ x56 . x55 x56x53 x56(x53 x56False)False)(∀ x56 x57 x58 . (x55 x58False)x48 x56 (x49 (x50 x57 x58))x14 x56 x57 x58(x1 x56 x57False)False)(∀ x56 x57 . x53 x57x54 x57x48 x56 (x49 x57)(x54 x56False)False)(∀ x56 x57 . (x55 x57False)x48 x56 (x49 x57)(x35 x56 x57False)x55 x56False)(∀ x56 x57 x58 . x48 x58 (x49 (x50 x56 x57))(x3 x58 x57False)False)(∀ x56 x57 x58 . x48 x58 (x49 (x50 x57 x56))(x2 x58 x57False)False)(∀ x56 x57 . x53 x57x48 x56 (x49 x57)(x53 x56False)False)(∀ x56 x57 x58 . (x55 x58False)x55 x56x48 x57 (x49 (x50 x58 x56))x1 x57 x58False)(∀ x56 x57 x58 . x55 x58x48 x56 (x49 (x50 x58 x57))x14 x56 x58 x57(x1 x56 x58False)False)(∀ x56 . x55 x56x53 x56x54 x56(x10 x56False)False)(∀ x56 . x55 x56x53 x56x54 x56(x54 x56False)False)(∀ x56 . x55 x56x53 x56x54 x56(x53 x56False)False)(∀ x56 x57 . x55 x57x48 x56 (x49 x57)(x55 x56False)False)(∀ x56 x57 x58 . x48 x58 (x49 (x50 x56 x57))(x53 x58False)False)(∀ x56 . x55 x56(x53 x56False)False)(∀ x56 x57 x58 . x55 x58x48 x56 (x49 (x50 x58 x57))(x1 x56 x58False)False)(∀ x56 x57 x58 . x48 x57 (x49 (x50 x58 x56))x1 x57 x58(x14 x57 x58 x56False)False)(∀ x56 . x55 x56(x54 x56False)False)(∀ x56 x57 . x0 x56 x57x0 x57 x56False)(x45 (x51 x20 x21 x23) (x51 x20 x21 x22)False)((x46 x20 x21 x22 x23False)False)((x48 x22 (x49 (x50 x20 x21))False)False)((x54 x22False)False)((x48 x23 (x49 (x50 x20 x21))False)False)((x54 x23False)False)False
type
prop
theory
HotG
name
-
proof
PUJsG..
Megalodon
-
proofgold address
TMG47..
creator
35145 PrPhD../5f705..
owner
35148 PrPhD../d2378..
term root
1ec6a..