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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 x7 : ι → ο . ∀ x8 : ι → ι . ∀ x9 : ι → ο . ∀ x10 : ι → ι → ι . ∀ x11 . ∀ x12 : ι → ο . ∀ x13 x14 : ι → ι . ∀ x15 x16 : ι → ι → ι . ∀ x17 . ∀ x18 x19 : ι → ο . ∀ x20 . ∀ x21 : ι → ι → ο . ∀ x22 x23 x24 x25 x26 . ∀ x27 : ι → ι → ο . ∀ x28 . ∀ x29 : ι → ι . ∀ x30 : ι → ι → ι . ∀ x31 x32 . ∀ x33 : ι → ο . ∀ x34 : ι → ι → ο . ∀ x35 : ι → ι . ∀ x36 . ∀ x37 : ι → ο . ∀ x38 : ι → ι → ο . ∀ x39 : ι → ι → ι . ∀ x40 . ∀ x41 : ι → ο . ∀ x42 : ι → ι → ι → ι . ∀ x43 : ι → ι → ο . ∀ x44 : ι → ο . ∀ x45 : ι → ι . ∀ x46 : ι → ι → ι → ο . ∀ x47 : ι → ι → ι . ∀ x48 : ι → ι → ι → ι → ι . ∀ x49 x50 : ι → ι → ι → ι → ο . ∀ x51 : ι → ι → ο . ∀ x52 : ι → ι → ι → ο . ∀ x53 x54 x55 : ι → ο . ∀ x56 . ∀ x57 : ι → ο . (∀ x58 x59 . x57 x59(x59 = x58False)x57 x58False)(∀ x58 x59 . x0 x58 x59x57 x59False)(∀ x58 . x57 x58(x58 = x56False)False)(∀ x58 x59 x60 . x0 x58 x59x2 x59 (x1 x60)x57 x60False)(∀ x58 x59 x60 x61 x62 . (x55 x62False)x44 x62x54 x62x2 x58 (x45 x62)x2 x61 (x45 x62)x2 x59 (x45 x62)x53 x60x46 x60 (x45 x62) (x45 x62)x52 x60 (x45 x62) (x45 x62)x2 x60 (x1 (x47 (x45 x62) (x45 x62)))x51 x60 x62x48 (x45 x62) (x45 x62) x60 x58 = x58x50 x62 x61 x58 (x48 (x45 x62) (x45 x62) x60 x61)(x49 x62 x58 x61 x59False)(x50 x62 x59 x58 (x48 (x45 x62) (x45 x62) x60 x59)False)False)(∀ x58 x59 x60 . x0 x59 x60x2 x60 (x1 x58)(x2 x59 x58False)False)(∀ x58 x59 . x43 x59 x58(x2 x59 (x1 x58)False)False)(∀ x58 x59 . x2 x59 (x1 x58)(x43 x59 x58False)False)(∀ x58 x59 x60 . (x55 x60False)x44 x60x54 x60x2 x58 (x45 x60)x2 x59 (x45 x60)(x58 = x59False)x49 x60 x58 x59 (x42 x59 x58 x60)False)(∀ x58 x59 x60 . (x55 x60False)x44 x60x54 x60x2 x58 (x45 x60)x2 x59 (x45 x60)(x58 = x59False)(x2 (x42 x59 x58 x60) (x45 x60)False)False)(∀ x58 x59 x60 x61 x62 x63 . (x55 x63False)x44 x63x54 x63x2 x58 (x45 x63)x2 x62 (x45 x63)x2 x59 (x45 x63)x2 x61 (x45 x63)x2 x60 (x45 x63)x49 x63 x58 x62 x59x49 x63 x58 x62 x61x49 x63 x58 x62 x60(x58 = x62False)(x49 x63 x59 x61 x60False)False)(∀ x58 x59 x60 . (x55 x60False)x44 x60x54 x60x2 x58 (x45 x60)x2 x59 (x45 x60)(x49 x60 x58 x59 x58False)False)(∀ x58 x59 x60 . (x55 x60False)x44 x60x54 x60x2 x58 (x45 x60)x2 x59 (x45 x60)(x49 x60 x58 x59 x59False)False)(∀ x58 x59 x60 . (x55 x60False)x44 x60x54 x60x2 x58 (x45 x60)x2 x59 (x45 x60)(x49 x60 x58 x58 x59False)False)(∀ x58 x59 x60 x61 . (x55 x61False)x44 x61x54 x61x2 x58 (x45 x61)x2 x60 (x45 x61)x2 x59 (x45 x61)x49 x61 x58 x60 x59(x49 x61 x59 x60 x58False)False)(∀ x58 x59 x60 x61 . (x55 x61False)x44 x61x54 x61x2 x58 (x45 x61)x2 x60 (x45 x61)x2 x59 (x45 x61)x49 x61 x58 x60 x59(x49 x61 x59 x58 x60False)False)(∀ x58 x59 x60 x61 . (x55 x61False)x44 x61x54 x61x2 x58 (x45 x61)x2 x60 (x45 x61)x2 x59 (x45 x61)x49 x61 x58 x60 x59(x49 x61 x60 x59 x58False)False)(∀ x58 x59 x60 x61 . (x55 x61False)x44 x61x54 x61x2 x58 (x45 x61)x2 x60 (x45 x61)x2 x59 (x45 x61)x49 x61 x58 x60 x59(x49 x61 x60 x58 x59False)False)(∀ x58 x59 x60 x61 . (x55 x61False)x44 x61x54 x61x2 x58 (x45 x61)x2 x60 (x45 x61)x2 x59 (x45 x61)x49 x61 x58 x60 x59(x49 x61 x58 x59 x60False)False)(∀ x58 x59 . x2 x58 x59(x57 x59False)(x0 x58 x59False)False)(∀ x58 x59 . x0 x59 x58(x2 x59 x58False)False)(∀ x58 x59 x60 . (x55 x60False)x44 x60x54 x60x2 x58 (x45 x60)x2 x59 (x45 x60)(x50 x60 x58 x59 x59False)False)(∀ x58 x59 x60 . (x55 x60False)x44 x60x54 x60x2 x58 (x45 x60)x2 x59 (x45 x60)(x50 x60 x58 x58 x59False)False)(x57 x3False)(∀ x58 . (x43 x58 x58False)False)(∀ x58 x59 x60 x61 . (x57 x61False)x53 x58x46 x58 x61 x60x2 x58 (x1 (x47 x61 x60))x2 x59 x61(x48 x61 x60 x58 x59 = x4 x58 x59False)False)((x41 x40False)False)(x57 x40False)(∀ x58 x59 . (x53 (x39 x58 x59)False)False)(∀ x58 x59 . (x5 (x39 x58 x59) x58False)False)(∀ x58 x59 . (x38 (x39 x59 x58) x58False)False)(∀ x58 x59 . (x6 (x39 x58 x59)False)False)(x37 x36False)((x53 x36False)False)((x6 x36False)False)(∀ x58 . (x7 x58False)x9 x58x57 (x8 x58)False)(∀ x58 . (x7 x58False)x9 x58(x2 (x8 x58) (x1 (x45 x58))False)False)(∀ x58 x59 . (x57 x59False)(x57 x58False)x57 (x10 x58 x59)False)(∀ x58 x59 . (x57 x59False)(x57 x58False)(x53 (x10 x58 x59)False)False)(∀ x58 x59 . (x57 x59False)(x57 x58False)(x5 (x10 x58 x59) x58False)False)(∀ x58 x59 . (x57 x59False)(x57 x58False)(x38 (x10 x58 x59) x59False)False)(∀ x58 x59 . (x57 x59False)(x57 x58False)(x6 (x10 x58 x59)False)False)(∀ x58 x59 . (x57 x59False)(x57 x58False)(x2 (x10 x58 x59) (x1 (x47 x59 x58))False)False)(x57 x11False)(∀ x58 . (x52 (x35 x58) x58 x58False)False)(∀ x58 . (x46 (x35 x58) x58 x58False)False)(∀ x58 . (x34 (x35 x58) x58False)False)(∀ x58 . (x53 (x35 x58)False)False)(∀ x58 . (x5 (x35 x58) x58False)False)(∀ x58 . (x38 (x35 x58) x58False)False)(∀ x58 . (x6 (x35 x58)False)False)(∀ x58 . (x2 (x35 x58) (x1 (x47 x58 x58))False)False)((x33 x32False)False)((x53 x32False)False)((x6 x32False)False)(∀ x58 . (x55 x58False)x9 x58x12 (x13 x58)False)(∀ x58 . (x55 x58False)x9 x58(x2 (x13 x58) (x1 (x45 x58))False)False)(∀ x58 . (x7 x58False)x9 x58(x12 (x14 x58)False)False)(∀ x58 . (x7 x58False)x9 x58x57 (x14 x58)False)(∀ x58 . (x7 x58False)x9 x58(x2 (x14 x58) (x1 (x45 x58))False)False)((x57 x31False)False)(∀ x58 x59 . (x5 (x15 x58 x59) x58False)False)(∀ x58 x59 . (x38 (x15 x59 x58) x58False)False)(∀ x58 x59 . (x6 (x15 x58 x59)False)False)(∀ x58 x59 . (x57 (x15 x58 x59)False)False)(∀ x58 x59 . (x2 (x15 x58 x59) (x1 (x47 x59 x58))False)False)(∀ x58 x59 . (x53 (x30 x58 x59)False)False)(∀ x58 x59 . (x5 (x30 x58 x59) x58False)False)(∀ x58 x59 . (x38 (x30 x59 x58) x58False)False)(∀ x58 x59 . (x6 (x30 x58 x59)False)False)(∀ x58 x59 . (x2 (x30 x58 x59) (x1 (x47 x59 x58))False)False)(∀ x58 x59 . (x46 (x16 x58 x59) x59 x58False)False)(∀ x58 x59 . (x53 (x16 x58 x59)False)False)(∀ x58 x59 . (x5 (x16 x58 x59) x58False)False)(∀ x58 x59 . (x38 (x16 x59 x58) x58False)False)(∀ x58 x59 . (x6 (x16 x58 x59)False)False)(∀ x58 x59 . (x2 (x16 x58 x59) (x1 (x47 x59 x58))False)False)((x53 x17False)False)((x6 x17False)False)(∀ x58 . (x18 x58False)x9 x58x19 (x45 x58)False)(∀ x58 . x18 x58x9 x58(x19 (x45 x58)False)False)(∀ x58 . x55 x58x9 x58(x12 (x45 x58)False)False)(∀ x58 . (x55 x58False)x9 x58x12 (x45 x58)False)(∀ x58 . (x7 x58False)x9 x58x57 (x45 x58)False)((x57 x56False)False)(∀ x58 . x7 x58x9 x58(x57 (x45 x58)False)False)(∀ x58 x59 x60 . x41 x60x6 x58x5 x58 x60x53 x58(x53 (x4 x58 x59)False)False)(∀ x58 x59 x60 . x41 x60x6 x58x5 x58 x60x53 x58(x6 (x4 x58 x59)False)False)(∀ x58 . (x2 (x29 x58) x58False)False)((x9 x20False)False)((x54 x28False)False)(∀ x58 . x54 x58(x9 x58False)False)(∀ x58 x59 x60 x61 . (x57 x61False)x53 x58x46 x58 x61 x60x2 x58 (x1 (x47 x61 x60))x2 x59 x61(x2 (x48 x61 x60 x58 x59) x60False)False)(∀ x58 . x9 x58x21 x58 x56(x7 x58False)False)(∀ x58 x59 . x41 x59x2 x58 (x1 x59)(x41 x58False)False)(∀ x58 . x9 x58x7 x58(x21 x58 x56False)False)(∀ x58 x59 x60 . (x57 x60False)(x57 x58False)x2 x59 (x1 (x47 x60 x58))x53 x59x46 x59 x60 x58(x46 x59 x60 x58False)False)(∀ x58 x59 x60 . (x57 x60False)(x57 x58False)x2 x59 (x1 (x47 x60 x58))x53 x59x46 x59 x60 x58x57 x59False)(∀ x58 x59 x60 . (x57 x60False)(x57 x58False)x2 x59 (x1 (x47 x60 x58))x53 x59x46 x59 x60 x58(x53 x59False)False)(∀ x58 x59 . x41 x59x2 x58 x59(x53 x58False)False)(∀ x58 x59 . x41 x59x2 x58 x59(x6 x58False)False)(∀ x58 . x9 x58(x18 x58False)x55 x58False)(∀ x58 . x57 x58(x41 x58False)False)(∀ x58 . x9 x58x55 x58(x18 x58False)False)(∀ x58 x59 x60 . x2 x60 (x1 (x47 x58 x59))x53 x60x33 x60x27 x60 x59(x52 x60 x58 x59False)False)(∀ x58 x59 x60 . x2 x60 (x1 (x47 x58 x59))x53 x60x33 x60x27 x60 x59(x53 x60False)False)(∀ x58 . x12 x58x6 x58x53 x58(x37 x58False)False)(∀ x58 . x12 x58x6 x58x53 x58(x53 x58False)False)(∀ x58 . x12 x58x6 x58x53 x58(x6 x58False)False)(∀ x58 . x9 x58(x18 x58False)x18 x58False)(∀ x58 . x9 x58(x18 x58False)x7 x58False)(∀ x58 x59 x60 . x2 x60 (x1 (x47 x59 x58))x53 x60x52 x60 x59 x58(x27 x60 x58False)False)(∀ x58 x59 x60 . x2 x60 (x1 (x47 x59 x58))x53 x60x52 x60 x59 x58(x33 x60False)False)(∀ x58 x59 x60 . x2 x60 (x1 (x47 x59 x58))x53 x60x52 x60 x59 x58(x53 x60False)False)(∀ x58 . x6 x58x53 x58(x37 x58False)(x53 x58False)False)(∀ x58 . x6 x58x53 x58(x37 x58False)(x6 x58False)False)(∀ x58 . x6 x58x53 x58(x37 x58False)x12 x58False)(∀ x58 . x9 x58x7 x58(x18 x58False)False)(∀ x58 . x9 x58x7 x58(x7 x58False)False)(∀ x58 x59 x60 . x57 x60x2 x58 (x1 (x47 x59 x60))(x57 x58False)False)(∀ x58 x59 . x2 x59 (x1 (x47 x58 x58))x46 x59 x58 x58(x34 x59 x58False)False)(∀ x58 . x57 x58x6 x58x53 x58(x37 x58False)False)(∀ x58 . x57 x58x6 x58x53 x58(x53 x58False)False)(∀ x58 . x57 x58x6 x58x53 x58(x6 x58False)False)(∀ x58 x59 x60 . x57 x60x2 x58 (x1 (x47 x60 x59))(x57 x58False)False)(∀ x58 x59 x60 . (x57 x60False)x2 x58 (x1 (x47 x59 x60))x46 x58 x59 x60(x34 x58 x59False)False)(∀ x58 x59 . x6 x59x53 x59x2 x58 (x1 x59)(x53 x58False)False)(∀ x58 . x9 x58(x55 x58False)x7 x58False)(∀ x58 x59 x60 . x2 x60 (x1 (x47 x58 x59))(x5 x60 x59False)False)(∀ x58 x59 x60 . x2 x60 (x1 (x47 x59 x58))(x38 x60 x59False)False)(∀ x58 x59 x60 . (x57 x60False)x57 x58x2 x59 (x1 (x47 x60 x58))x34 x59 x60False)(∀ x58 x59 x60 . x57 x60x2 x58 (x1 (x47 x60 x59))x46 x58 x60 x59(x34 x58 x60False)False)(∀ x58 . x57 x58x6 x58x53 x58(x33 x58False)False)(∀ x58 . x57 x58x6 x58x53 x58(x53 x58False)False)(∀ x58 . x57 x58x6 x58x53 x58(x6 x58False)False)(∀ x58 . x9 x58x7 x58(x55 x58False)False)(∀ x58 x59 x60 . x2 x60 (x1 (x47 x58 x59))(x6 x60False)False)(∀ x58 x59 x60 . x57 x60x2 x58 (x1 (x47 x60 x59))(x34 x58 x60False)False)(∀ x58 x59 x60 . x2 x59 (x1 (x47 x60 x58))x34 x59 x60(x46 x59 x60 x58False)False)(∀ x58 . x57 x58(x53 x58False)False)(∀ x58 . x9 x58(x55 x58False)x7 x58False)(∀ x58 . x9 x58x21 x58 x3(x55 x58False)False)(∀ x58 . x9 x58x21 x58 x3x7 x58False)(∀ x58 . x9 x58(x7 x58False)x55 x58(x21 x58 x3False)False)(∀ x58 x59 . x0 x58 x59x0 x59 x58False)(x50 x22 x25 x23 (x48 (x45 x22) (x45 x22) x24 x25)False)(x26 = x23False)((x50 x22 x26 x23 (x48 (x45 x22) (x45 x22) x24 x26)False)False)((x48 (x45 x22) (x45 x22) x24 x23 = x23False)False)((x51 x24 x22False)False)((x2 x24 (x1 (x47 (x45 x22) (x45 x22)))False)False)((x52 x24 (x45 x22) (x45 x22)False)False)((x46 x24 (x45 x22) (x45 x22)False)False)((x53 x24False)False)((x2 x25 (x45 x22)False)False)((x2 x26 (x45 x22)False)False)((x2 x23 (x45 x22)False)False)((x54 x22False)False)((x44 x22False)False)(x55 x22False)False
type
prop
theory
HotG
name
-
proof
PUhE5..
Megalodon
-
proofgold address
TMUmB..
creator
35129 PrPhD../de62c..
owner
35137 PrPhD../35f22..
term root
6ad16..