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Proofgold Proposition

∀ x0 : ι → ι . ∀ x1 : ι → ο . ∀ x2 : ι → ι → ο . ∀ x3 . ∀ x4 : ι → ι → ι . ∀ x5 : ι → ο . ∀ x6 : ι → ι . ∀ x7 : ι → ι → ι . ∀ x8 x9 : ι → ο . ∀ x10 x11 x12 x13 . ∀ x14 x15 : ι → ο . ∀ x16 x17 . ∀ x18 : ι → ο . ∀ x19 x20 . ∀ x21 : ι → ο . ∀ x22 . ∀ x23 : ι → ο . ∀ x24 x25 x26 x27 . ∀ x28 : ι → ι . ∀ x29 x30 x31 x32 : ι → ο . ∀ x33 x34 . ∀ x35 x36 x37 : ι → ο . ∀ x38 x39 x40 x41 x42 x43 x44 . ∀ x45 : ι → ο . ∀ x46 . ∀ x47 : ι → ο . ∀ x48 . ∀ x49 : ι → ο . ∀ x50 x51 x52 x53 x54 . ∀ x55 x56 x57 : ι → ο . ∀ x58 . ∀ x59 : ι → ο . ∀ x60 x61 . ∀ x62 : ι → ο . ∀ x63 x64 x65 x66 . ∀ x67 x68 x69 x70 : ι → ο . ∀ x71 . ∀ x72 : ι → ο . ∀ x73 x74 x75 : ι → ι → ι . ∀ x76 : ι → ι . ∀ x77 x78 x79 x80 : ι → ο . ∀ x81 . ∀ x82 : ι → ι → ο . ∀ x83 : ι → ι . ∀ x84 : ι → ι → ο . (∀ x85 . x82 x85 x81(x84 x85 (x83 x85)False)False)(∀ x85 . x82 x85 x81(x84 (x0 (x83 x85)) x85False)False)(∀ x85 x86 . x80 x86x80 x85(x84 x86 x85False)(x79 x85False)(x78 x86False)False)(∀ x85 x86 . x1 x86(x86 = x85False)x1 x85False)(∀ x85 x86 . x80 x86x80 x85(x84 x86 x85False)(x78 x86False)(x79 x85False)False)(∀ x85 x86 . x2 x85 x86x1 x86False)(∀ x85 x86 . x80 x86x80 x85x84 x86 x85(x1 x86False)(x78 x85False)(x79 x86False)False)(∀ x85 . x1 x85(x85 = x3False)False)(∀ x85 x86 . x77 x86x77 x85x84 (x76 x86) x85(x84 (x76 x85) x86False)False)(∀ x85 x86 . x77 x86x77 x85x84 x86 (x76 x85)(x84 x85 (x76 x86)False)False)(∀ x85 x86 . x80 x86x80 x85x84 x86 x85(x1 x85False)(x79 x86False)(x78 x85False)False)(∀ x85 x86 . x80 x86x80 x85x84 x86 x85(x78 x85False)x78 x86False)(∀ x85 x86 . x80 x86x80 x85x84 x86 x85(x79 x86False)x79 x85False)(∀ x85 x86 . x82 x85 x86(x1 x86False)(x2 x85 x86False)False)(∀ x85 x86 . x80 x86x80 x85x84 x86 x85x79 x85(x79 x86False)False)(∀ x85 x86 . x77 x86x77 x85(x76 (x4 x86 x85) = x4 x85 x86False)False)(∀ x85 x86 . x77 x86x77 x85(x76 (x4 x86 x85) = x75 (x76 x86) x85False)False)(∀ x85 x86 . x2 x86 x85(x82 x86 x85False)False)(∀ x85 x86 . x80 x86x80 x85x84 x86 x85x78 x86(x78 x85False)False)(∀ x85 x86 . x5 x86x5 x85(x7 (x6 x86) (x6 x85) = x7 x85 x86False)False)(∀ x85 x86 . x5 x86x5 x85(x74 (x6 x86) (x6 x85) = x6 (x74 x86 x85)False)False)(∀ x85 x86 x87 . x5 x87x5 x85x5 x86(x74 (x74 x87 x85) x86 = x74 x87 (x74 x85 x86)False)False)(∀ x85 x86 . x5 x86x5 x85(x74 x86 (x6 x85) = x7 x86 x85False)False)(∀ x85 x86 . x77 x86x77 x85(x84 x86 x86False)False)(∀ x85 x86 . x82 x86 x81x82 x85 x81(x73 x86 x85 = x4 x86 x85False)False)(∀ x85 . x82 x85 x81(x0 x85 = x76 x85False)False)((x72 x71False)False)(x8 x71False)(x70 x71False)(x1 x71False)((x69 x71False)False)((x9 x10False)False)((x68 x10False)False)(x1 x10False)((x67 x66False)False)(x1 x66False)((x72 x65False)False)(x8 x65False)((x70 x65False)False)((x69 x65False)False)((x72 x64False)False)((x8 x64False)False)(x70 x64False)((x69 x64False)False)((x72 x63False)False)((x8 x63False)False)((x70 x63False)False)((x69 x63False)False)((x62 x61False)False)(x1 x61False)((x72 x60False)False)(x1 x60False)((x69 x60False)False)((x77 x11False)False)((x1 x11False)False)((x80 x12False)False)((x77 x12False)False)((x5 x12False)False)((x1 x12False)False)((x62 x13False)False)((x59 x58False)False)((x70 x58False)False)(x1 x58False)((x14 x58False)False)((x57 x58False)False)((x15 x58False)False)((x56 x58False)False)((x69 x58False)False)((x55 x58False)False)((x79 x16False)False)((x77 x16False)False)((x80 x17False)False)((x79 x17False)False)((x77 x17False)False)((x5 x17False)False)((x18 x19False)False)((x14 x19False)False)(x1 x19False)(x80 x54False)((x79 x54False)False)((x77 x54False)False)((x68 x20False)False)(x1 x20False)((x14 x20False)False)((x78 x53False)False)((x77 x53False)False)((x80 x52False)False)((x78 x52False)False)((x77 x52False)False)((x5 x52False)False)((x5 x51False)False)(x1 x51False)(x1 x50False)((x21 x22False)False)((x49 x48False)False)((x23 x48False)False)((x47 x48False)False)(x1 x48False)((x14 x46False)False)(x1 x46False)((x45 x44False)False)(x80 x24False)((x78 x24False)False)((x77 x24False)False)((x8 x43False)False)((x70 x43False)False)(x1 x43False)((x14 x43False)False)((x57 x43False)False)((x15 x43False)False)((x56 x43False)False)((x69 x43False)False)((x55 x43False)False)((x77 x25False)False)((x80 x42False)False)((x5 x26False)False)((x1 x41False)False)((x49 x27False)False)((x14 x40False)False)(x1 x40False)((x68 x39False)False)(x1 x39False)(∀ x85 . x82 x85 x81(x83 (x83 x85) = x83 x85False)False)(∀ x85 . x5 x85(x6 (x6 x85) = x85False)False)(∀ x85 . x77 x85(x76 (x76 x85) = x85False)False)(∀ x85 . x82 x85 x81(x0 (x0 x85) = x85False)False)(∀ x85 x86 x87 x88 . x80 x88x80 x85x5 x87x5 x86x88 = x87x85 = x86(x4 x88 x85 = x7 x87 x86False)False)(∀ x85 x86 . x80 x86x5 x85x86 = x85(x76 x86 = x6 x85False)False)(∀ x85 x86 x87 x88 . x80 x88x80 x85x5 x87x5 x86x88 = x87x85 = x86(x75 x88 x85 = x74 x87 x86False)False)(∀ x85 x86 . x77 x86(x78 x86False)x77 x85(x78 x85False)x78 (x75 x86 x85)False)(∀ x85 x86 . x77 x86(x78 x86False)x77 x85(x78 x85False)(x77 (x75 x86 x85)False)False)(∀ x85 x86 . (x79 x86False)x80 x86(x79 x85False)x80 x85x79 (x74 x86 x85)False)(∀ x85 x86 . x77 x86(x79 x86False)x77 x85(x79 x85False)x79 (x75 x86 x85)False)(∀ x85 x86 . x77 x86(x79 x86False)x77 x85(x79 x85False)(x77 (x75 x86 x85)False)False)(∀ x85 x86 . x77 x86x79 x86(x80 x86False)x77 x85x78 x85(x80 x85False)(x77 (x75 x86 x85)False)False)(∀ x85 x86 . x77 x86x79 x86(x80 x86False)x77 x85x78 x85(x80 x85False)(x1 (x75 x86 x85)False)False)(∀ x85 x86 . x80 x86x80 x85(x80 (x7 x86 x85)False)False)(∀ x85 x86 . x77 x86x79 x86(x80 x86False)x77 x85x79 x85(x80 x85False)x80 (x75 x86 x85)False)(∀ x85 x86 . x77 x86x79 x86(x80 x86False)x77 x85x79 x85(x80 x85False)(x77 (x75 x86 x85)False)False)(∀ x85 . (x1 x85False)x5 x85(x5 (x6 x85)False)False)(∀ x85 . (x1 x85False)x5 x85x1 (x6 x85)False)(∀ x85 x86 . x77 x86x78 x86(x80 x86False)x77 x85x78 x85(x80 x85False)x80 (x75 x86 x85)False)(∀ x85 x86 . x77 x86x78 x86(x80 x86False)x77 x85x78 x85(x80 x85False)(x77 (x75 x86 x85)False)False)(∀ x85 x86 . x80 x86x80 x85(x80 (x74 x86 x85)False)False)(∀ x85 . x21 x85(x21 (x6 x85)False)False)(∀ x85 . x21 x85(x5 (x6 x85)False)False)(x1 x81False)(∀ x85 x86 . x80 x86x77 x85(x80 x85False)x80 (x75 x86 x85)False)(∀ x85 x86 . x5 x86x5 x85(x5 (x7 x86 x85)False)False)(∀ x85 x86 . x62 x86(x1 x85False)x62 x85x1 (x74 x85 x86)False)(∀ x85 x86 . x45 x86x45 x85(x45 (x7 x86 x85)False)False)(∀ x85 x86 . x80 x86x80 x85(x80 (x4 x86 x85)False)False)(∀ x85 x86 . x80 x86x80 x85(x77 (x4 x86 x85)False)False)(∀ x85 . x80 x85(x80 (x6 x85)False)False)(∀ x85 . x80 x85(x5 (x6 x85)False)False)(∀ x85 x86 . x21 x86x21 x85(x21 (x7 x86 x85)False)False)(∀ x85 x86 . x62 x86(x1 x85False)x62 x85x1 (x74 x86 x85)False)(∀ x85 . x45 x85(x45 (x6 x85)False)False)(∀ x85 . x45 x85(x5 (x6 x85)False)False)(∀ x85 x86 . x80 x86x80 x85(x80 (x75 x86 x85)False)False)(∀ x85 x86 . x80 x86x80 x85(x77 (x75 x86 x85)False)False)(∀ x85 x86 . x5 x86x5 x85(x5 (x74 x86 x85)False)False)(∀ x85 x86 . x21 x86x21 x85(x21 (x74 x86 x85)False)False)((x69 x81False)False)(∀ x85 x86 . x77 x86x79 x86x77 x85(x79 x85False)(x78 (x4 x85 x86)False)False)(∀ x85 x86 . x77 x86x79 x86x77 x85(x79 x85False)(x77 (x4 x85 x86)False)False)(∀ x85 x86 . x77 x86x79 x86x77 x85(x79 x85False)(x79 (x4 x86 x85)False)False)(∀ x85 x86 . x77 x86x79 x86x77 x85(x79 x85False)(x77 (x4 x86 x85)False)False)(∀ x85 x86 . x79 x86x80 x86(x79 x85False)x80 x85(x78 (x7 x85 x86)False)False)(∀ x85 x86 . x77 x86x78 x86x77 x85(x78 x85False)(x79 (x4 x85 x86)False)False)(∀ x85 x86 . x77 x86x78 x86x77 x85(x78 x85False)(x77 (x4 x85 x86)False)False)(∀ x85 x86 . x79 x86x80 x86(x79 x85False)x80 x85(x79 (x7 x86 x85)False)False)(∀ x85 x86 . x77 x86x78 x86x77 x85(x78 x85False)(x78 (x4 x86 x85)False)False)(∀ x85 x86 . x77 x86x78 x86x77 x85(x78 x85False)(x77 (x4 x86 x85)False)False)(∀ x85 x86 . x78 x86x80 x86(x78 x85False)x80 x85(x79 (x7 x85 x86)False)False)(∀ x85 . x80 x85(x80 (x76 x85)False)False)(∀ x85 . x80 x85(x77 (x76 x85)False)False)((x1 x3False)False)(∀ x85 x86 . x62 x86x62 x85(x62 (x74 x86 x85)False)False)(∀ x85 x86 . x45 x86x45 x85(x45 (x74 x86 x85)False)False)(∀ x85 x86 . x77 x86(x79 x86False)x77 x85(x78 x85False)x78 (x4 x85 x86)False)(∀ x85 x86 . x77 x86(x79 x86False)x77 x85(x78 x85False)(x77 (x4 x85 x86)False)False)(∀ x85 x86 . x78 x86x80 x86(x78 x85False)x80 x85(x78 (x7 x86 x85)False)False)(∀ x85 x86 . x77 x86(x79 x86False)x77 x85(x78 x85False)x79 (x4 x86 x85)False)(∀ x85 x86 . x77 x86(x79 x86False)x77 x85(x78 x85False)(x77 (x4 x86 x85)False)False)(∀ x85 x86 . (x79 x86False)x80 x86(x78 x85False)x80 x85x78 (x7 x85 x86)False)(∀ x85 . x77 x85x79 x85(x78 (x76 x85)False)False)(∀ x85 . x77 x85x79 x85(x77 (x76 x85)False)False)(∀ x85 x86 . (x79 x86False)x80 x86(x78 x85False)x80 x85x79 (x7 x86 x85)False)(∀ x85 . x77 x85x78 x85(x79 (x76 x85)False)False)(∀ x85 . x77 x85x78 x85(x77 (x76 x85)False)False)(∀ x85 . (x79 x85False)x80 x85x78 (x6 x85)False)(∀ x85 . (x79 x85False)x80 x85(x5 (x6 x85)False)False)(∀ x85 . x77 x85(x79 x85False)x78 (x76 x85)False)(∀ x85 . x77 x85(x79 x85False)(x77 (x76 x85)False)False)(∀ x85 . (x78 x85False)x80 x85x79 (x6 x85)False)(∀ x85 . (x78 x85False)x80 x85(x5 (x6 x85)False)False)(∀ x85 . x77 x85(x78 x85False)x79 (x76 x85)False)(∀ x85 . x77 x85(x78 x85False)(x77 (x76 x85)False)False)(∀ x85 x86 . x79 x86x80 x86(x78 x85False)x80 x85(x79 (x74 x85 x86)False)False)(∀ x85 x86 . x77 x86x79 x86x77 x85(x78 x85False)(x79 (x75 x85 x86)False)False)(∀ x85 x86 . x77 x86x79 x86x77 x85(x78 x85False)(x77 (x75 x85 x86)False)False)(∀ x85 x86 . x79 x86x80 x86(x78 x85False)x80 x85(x79 (x74 x86 x85)False)False)(∀ x85 x86 . x77 x86x79 x86x77 x85(x78 x85False)(x79 (x75 x86 x85)False)False)(∀ x85 x86 . x77 x86x79 x86x77 x85(x78 x85False)(x77 (x75 x86 x85)False)False)((x72 x81False)False)(∀ x85 x86 . x78 x86x80 x86(x79 x85False)x80 x85(x78 (x74 x85 x86)False)False)(∀ x85 x86 . x77 x86x78 x86x77 x85(x79 x85False)(x78 (x75 x85 x86)False)False)(∀ x85 x86 . x77 x86x78 x86x77 x85(x79 x85False)(x77 (x75 x85 x86)False)False)(∀ x85 x86 . x78 x86x80 x86(x79 x85False)x80 x85(x78 (x74 x86 x85)False)False)(∀ x85 x86 . x77 x86x78 x86x77 x85(x79 x85False)(x78 (x75 x86 x85)False)False)(∀ x85 x86 . x77 x86x78 x86x77 x85(x79 x85False)(x77 (x75 x86 x85)False)False)(∀ x85 x86 . (x78 x86False)x80 x86(x78 x85False)x80 x85x78 (x74 x86 x85)False)(∀ x85 . (x82 (x28 x85) x85False)False)((x1 x38False)False)(∀ x85 . x5 x85(x5 (x6 x85)False)False)(∀ x85 x86 . x82 x86 x81x82 x85 x81(x82 (x73 x86 x85) x81False)False)(∀ x85 x86 . x77 x86x77 x85(x77 (x4 x86 x85)False)False)(∀ x85 . x82 x85 x81(x82 (x83 x85) x81False)False)(∀ x85 . x77 x85(x77 (x76 x85)False)False)(∀ x85 . x82 x85 x81(x82 (x0 x85) x81False)False)(∀ x85 x86 . x77 x86x77 x85(x77 (x75 x86 x85)False)False)(∀ x85 x86 . x77 x86x77 x85(x4 x86 x85 = x75 x86 (x76 x85)False)False)((x3 = x38False)False)(∀ x85 x86 . x77 x86x77 x85(x84 x86 x85False)(x84 x85 x86False)False)(∀ x85 x86 . x5 x86x5 x85(x74 x86 x85 = x74 x85 x86False)False)(∀ x85 x86 . x77 x86x77 x85(x75 x86 x85 = x75 x85 x86False)False)(∀ x85 . x14 x85(x29 x85False)False)(∀ x85 . x14 x85(x14 x85False)False)(∀ x85 . x1 x85(x30 x85False)False)(∀ x85 . x67 x85(x37 x85False)False)(∀ x85 . x57 x85(x1 x85False)x29 x85(x70 x85False)False)(∀ x85 . x57 x85(x1 x85False)x29 x85x1 x85False)(∀ x85 . x57 x85(x1 x85False)x29 x85(x57 x85False)False)(∀ x85 . x77 x85(x78 x85False)(x79 x85False)(x77 x85False)False)(∀ x85 . x77 x85(x78 x85False)(x79 x85False)(x1 x85False)False)(∀ x85 . x1 x85(x67 x85False)False)(∀ x85 . x57 x85(x1 x85False)x31 x85(x8 x85False)False)(∀ x85 . x57 x85(x1 x85False)x31 x85x1 x85False)(∀ x85 . x57 x85(x1 x85False)x31 x85(x57 x85False)False)(∀ x85 . x1 x85x77 x85x79 x85False)(∀ x85 . x1 x85x77 x85x78 x85False)(∀ x85 . x1 x85x77 x85(x77 x85False)False)(∀ x85 . x1 x85(x62 x85False)False)(∀ x85 x86 . x9 x86x82 x85 x86(x68 x85False)False)(∀ x85 . x56 x85x68 x85(x59 x85False)False)(∀ x85 . x56 x85x68 x85(x56 x85False)False)(∀ x85 . (x1 x85False)x77 x85(x78 x85False)(x79 x85False)False)(∀ x85 . (x1 x85False)x77 x85(x78 x85False)(x77 x85False)False)(∀ x85 . x62 x85(x49 x85False)False)(∀ x85 . x1 x85(x9 x85False)False)(∀ x85 . x69 x85x29 x85x31 x85(x59 x85False)False)(∀ x85 . x69 x85x29 x85x31 x85(x69 x85False)False)(∀ x85 . x77 x85x79 x85x78 x85False)(∀ x85 . x77 x85x79 x85(x77 x85False)False)(∀ x85 . x77 x85x79 x85x1 x85False)(∀ x85 x86 . x49 x86x82 x85 x86(x49 x85False)False)(∀ x85 . x56 x85(x55 x85False)False)(∀ x85 . (x68 x85False)x36 x85False)(∀ x85 . x69 x85x59 x85(x31 x85False)False)(∀ x85 . x69 x85x59 x85(x29 x85False)False)(∀ x85 . x69 x85x59 x85(x69 x85False)False)(∀ x85 . (x1 x85False)x77 x85(x79 x85False)(x78 x85False)False)(∀ x85 . (x1 x85False)x77 x85(x79 x85False)(x77 x85False)False)(∀ x85 . x80 x85(x77 x85False)False)(∀ x85 . x1 x85(x32 x85False)False)(∀ x85 . x56 x85(x69 x85False)False)(∀ x85 . x36 x85(x68 x85False)False)(∀ x85 . x14 x85(x1 x85False)(x70 x85False)False)(∀ x85 . x14 x85(x1 x85False)x1 x85False)(∀ x85 . x14 x85(x1 x85False)(x14 x85False)False)(∀ x85 . x77 x85x78 x85x79 x85False)(∀ x85 . x77 x85x78 x85(x77 x85False)False)(∀ x85 . x77 x85x78 x85x1 x85False)(∀ x85 . x80 x85(x5 x85False)False)(∀ x85 . x1 x85(x49 x85False)False)(∀ x85 . x62 x85x79 x85False)(∀ x85 . x62 x85(x62 x85False)False)(∀ x85 . x15 x85(x56 x85False)False)(∀ x85 . x45 x85(x80 x85False)False)(∀ x85 . x77 x85(x78 x85False)(x80 x85False)(x79 x85False)False)(∀ x85 . x77 x85(x78 x85False)(x80 x85False)(x77 x85False)False)(∀ x85 . x69 x85(x1 x85False)x68 x85(x8 x85False)False)(∀ x85 . x69 x85(x1 x85False)x68 x85(x70 x85False)False)(∀ x85 . x69 x85(x1 x85False)x68 x85x1 x85False)(∀ x85 . x69 x85(x1 x85False)x68 x85(x69 x85False)False)(∀ x85 . x62 x85(x77 x85False)False)(∀ x85 . x62 x85(x80 x85False)False)(∀ x85 . x62 x85(x5 x85False)False)(∀ x85 . x45 x85(x21 x85False)False)(∀ x85 . x47 x85x23 x85(x49 x85False)False)(∀ x85 . x57 x85(x15 x85False)False)(∀ x85 . x62 x85(x45 x85False)False)(∀ x85 . x1 x85(x18 x85False)False)(∀ x85 . x77 x85(x79 x85False)(x80 x85False)(x78 x85False)False)(∀ x85 . x77 x85(x79 x85False)(x80 x85False)(x77 x85False)False)(∀ x85 . x82 x85 x81(x77 x85False)False)(∀ x85 . x21 x85(x80 x85False)False)(∀ x85 . x49 x85(x23 x85False)False)(∀ x85 . x49 x85(x47 x85False)False)(∀ x85 . x62 x85(x62 x85False)False)(∀ x85 . x62 x85(x49 x85False)False)(∀ x85 . x14 x85(x57 x85False)False)(∀ x85 . x1 x85(x68 x85False)False)(∀ x85 . x1 x85(x14 x85False)False)(∀ x85 . x69 x85x8 x85x1 x85False)(∀ x85 . x69 x85x8 x85(x69 x85False)False)(∀ x85 x86 . x14 x86x82 x85 x86(x62 x85False)False)(∀ x85 . x69 x85x70 x85x1 x85False)(∀ x85 . x69 x85x70 x85(x69 x85False)False)(∀ x85 x86 . x57 x86x82 x85 x86(x45 x85False)False)(∀ x85 . x69 x85x1 x85(x72 x85False)False)(∀ x85 . x69 x85x1 x85(x69 x85False)False)(∀ x85 x86 . x15 x86x82 x85 x86(x21 x85False)False)(∀ x85 . x69 x85x59 x85(x56 x85False)False)(∀ x85 . x69 x85x59 x85(x69 x85False)False)(∀ x85 x86 . x56 x86x82 x85 x86(x80 x85False)False)(∀ x85 . x14 x85x31 x85(x31 x85False)False)(∀ x85 . x14 x85x31 x85(x68 x85False)False)(∀ x85 . x14 x85x31 x85(x14 x85False)False)(∀ x85 x86 . x69 x86x82 x85 x86(x77 x85False)False)(∀ x85 . x57 x85x59 x85(x68 x85False)False)(∀ x85 . x57 x85x59 x85(x57 x85False)False)(∀ x85 x86 . x55 x86x82 x85 x86(x5 x85False)False)(∀ x85 . x56 x85x8 x85(x31 x85False)False)(∀ x85 . x56 x85x8 x85(x56 x85False)False)(∀ x85 . x56 x85x70 x85(x29 x85False)False)(∀ x85 . x56 x85x70 x85(x56 x85False)False)(∀ x85 x86 . x67 x86x82 x85 x86(x35 x85False)False)(∀ x85 x86 . x2 x85 x86x2 x86 x85False)(x84 (x73 x33 x34) (x83 (x73 x34 x33))False)((x82 x33 x81False)False)((x82 x34 x81False)False)False
type
prop
theory
HotG
name
-
proof
PUcAB..
Megalodon
-
proofgold address
TMShq..
creator
35124 PrPhD../694dc..
owner
35125 PrPhD../cfb37..
term root
50a44..