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Proofgold Proposition

∀ x0 x1 : ι → ο . ∀ x2 . ∀ x3 : ι → ι → ι . ∀ x4 . ∀ x5 : ι → ο . ∀ x6 . ∀ x7 : ι → ο . ∀ x8 : ι → ι → ι . ∀ x9 . ∀ x10 x11 : ι → ι → ο . ∀ x12 x13 x14 x15 . ∀ x16 x17 x18 : ι → ο . ∀ x19 . ∀ x20 : ι → ο . ∀ x21 x22 x23 . ∀ x24 : ι → ι → ο . ∀ x25 x26 . ∀ x27 x28 : ι → ι . ∀ x29 : ι → ι → ο . ∀ x30 : ι → ο . ∀ x31 x32 . ∀ x33 : ι → ο . ∀ x34 : ι → ι . ∀ x35 : ι → ι → ι . ∀ x36 : ι → ο . ∀ x37 . ∀ x38 x39 : ι → ι → ι . ∀ x40 x41 . ∀ x42 : ι → ο . ∀ x43 x44 x45 . ∀ x46 : ι → ι → ο . ∀ x47 : ι → ι . ∀ x48 : ι → ο . ∀ x49 x50 . ∀ x51 x52 : ι → ι . ∀ x53 . ∀ x54 : ι → ι → ι → ο . ∀ x55 . ∀ x56 : ι → ι → ι . ∀ x57 . ∀ x58 x59 : ι → ι → ι → ι . ∀ x60 : ι → ι → ι → ο . ∀ x61 x62 : ι → ι → ο . ∀ x63 : ι → ι . ∀ x64 . ∀ x65 : ι → ι . ∀ x66 : ι → ο . ∀ x67 : ι → ι → ο . ∀ x68 x69 : ι → ο . ∀ x70 : ι → ι → ο . ∀ x71 : ι → ο . (∀ x72 x73 . x71 x73x71 x72(x70 x73 x72False)(x69 x72False)(x68 x73False)False)(∀ x72 x73 . x0 x73(x73 = x72False)x0 x72False)(∀ x72 x73 . x71 x73x71 x72(x70 x73 x72False)(x68 x73False)(x69 x72False)False)(∀ x72 x73 . x1 x73x1 x72(x70 x72 x73False)(x70 (x3 x73 x2) x72False)False)(∀ x72 x73 . x67 x72 x73x0 x73False)(∀ x72 x73 . x71 x73x71 x72x70 x73 x72(x0 x73False)(x68 x72False)(x69 x73False)False)(∀ x72 . x66 x72x70 (x65 x72) x64False)(∀ x72 . x0 x72(x72 = x4False)False)(∀ x72 x73 x74 . x67 x72 x73x62 x73 (x63 x74)x0 x74False)(∀ x72 x73 . x71 x73x71 x72x70 x73 x72(x0 x72False)(x69 x73False)(x68 x72False)False)(∀ x72 x73 x74 . x67 x73 x74x62 x74 (x63 x72)(x62 x73 x72False)False)(∀ x72 x73 . x71 x73x71 x72x70 x73 x72(x68 x72False)x68 x73False)(∀ x72 x73 . x61 x73 x72(x62 x73 (x63 x72)False)False)(∀ x72 x73 . x62 x73 (x63 x72)(x61 x73 x72False)False)(∀ x72 x73 . x71 x73x71 x72x70 x73 x72(x69 x73False)x69 x72False)(∀ x72 x73 x74 . x5 x74x5 x72x5 x73x70 x74 x72x70 x72 x73(x70 x74 x73False)False)(∀ x72 x73 . x62 x72 x73(x0 x73False)(x67 x72 x73False)False)(∀ x72 x73 . x71 x73x71 x72x70 x73 x72x69 x72(x69 x73False)False)(∀ x72 x73 x74 . x66 x74x66 x72x70 x2 x72x66 x73x60 x72 x73 x74(x73 = x58 x72 x74 (x59 x74 x72 x73)False)False)(∀ x72 x73 . x67 x73 x72(x62 x73 x72False)False)(∀ x72 x73 . x71 x73x71 x72x70 x73 x72x68 x73(x68 x72False)False)(∀ x72 . x66 x72x70 x6 x72x70 (x65 x72) x6False)((x62 x4 x57False)False)(∀ x72 . x7 x72(x8 x72 x64 = x72False)False)(∀ x72 x73 . x71 x73x66 x72x70 x2 x73x70 x2 x72(x70 x73 (x56 x73 x72)False)False)(∀ x72 x73 x74 . x7 x74x7 x72x7 x73(x8 (x8 x74 x72) x73 = x8 x74 (x8 x72 x73)False)False)((x62 x6 x55False)False)((x62 x6 x9False)False)((x54 x6 x55 x9False)False)((x68 x6False)False)(x0 x6False)((x62 x2 x55False)False)((x62 x2 x9False)False)((x54 x2 x55 x9False)False)((x68 x2False)False)(x0 x2False)((x62 x53 x55False)False)((x62 x53 x9False)False)((x54 x53 x55 x9False)False)((x0 x53False)False)((x8 x6 x53 = x6False)False)((x8 x2 x2 = x6False)False)((x8 x2 x53 = x2False)False)((x8 x53 x6 = x6False)False)((x8 x53 x2 = x2False)False)((x8 x53 x53 = x53False)False)((x70 x6 x6False)False)(x70 x6 x2False)(x70 x6 x53False)((x70 x2 x6False)False)((x70 x2 x2False)False)(x70 x2 x53False)((x70 x53 x6False)False)((x70 x53 x2False)False)((x70 x53 x53False)False)(∀ x72 x73 . x5 x73x5 x72(x70 x73 x73False)False)(∀ x72 . (x61 x72 x72False)False)(∀ x72 x73 x74 . (x0 x74False)(x0 x72False)x62 x72 (x63 x74)x62 x73 x72(x54 x73 x74 x72False)False)(∀ x72 x73 x74 . (x0 x74False)(x0 x72False)x62 x72 (x63 x74)x54 x73 x74 x72(x62 x73 x72False)False)(∀ x72 x73 . x11 x73 x72(x10 x73 x72False)False)(∀ x72 x73 . x10 x73 x72(x11 x73 x72False)False)((x64 = x4False)False)((x9 = x57False)False)(∀ x72 x73 . x71 x73x62 x72 x55(x3 x73 x72 = x8 x73 x72False)False)(∀ x72 . x66 x72(x51 x72 = x52 x72False)False)((x66 x12False)False)(x0 x12False)((x5 x13False)False)((x0 x13False)False)((x71 x14False)False)((x5 x14False)False)((x7 x14False)False)((x0 x14False)False)((x66 x15False)False)((x69 x50False)False)((x5 x50False)False)((x71 x49False)False)((x69 x49False)False)((x5 x49False)False)((x7 x49False)False)(∀ x72 . (x48 (x47 x72)False)False)(∀ x72 . (x16 (x47 x72)False)False)(∀ x72 . (x46 (x47 x72) x72False)False)(∀ x72 . (x17 (x47 x72)False)False)((x68 x45False)False)((x5 x45False)False)((x71 x44False)False)((x68 x44False)False)((x5 x44False)False)((x7 x44False)False)(x0 x43False)((x18 x19False)False)((x42 x19False)False)((x20 x19False)False)(x0 x19False)((x18 x21False)False)(x0 x21False)((x62 x21 (x63 x55)False)False)((x1 x41False)False)((x5 x22False)False)((x71 x40False)False)((x0 x23False)False)(∀ x72 x73 . (x46 (x39 x72 x73) x72False)False)(∀ x72 x73 . (x24 (x39 x73 x72) x72False)False)(∀ x72 x73 . (x17 (x39 x72 x73)False)False)(∀ x72 x73 . (x0 (x39 x72 x73)False)False)(∀ x72 x73 . (x62 (x39 x72 x73) (x63 (x38 x73 x72))False)False)((x18 x25False)False)((x1 x37False)False)((x71 x37False)False)((x7 x37False)False)((x5 x37False)False)((x62 x37 x55False)False)(∀ x72 x73 . (x69 x73False)x71 x73(x69 x72False)x71 x72x69 (x8 x73 x72)False)(x36 x55False)((x18 x57False)False)(x0 x57False)(x36 x26False)(∀ x72 x73 . x71 x73x71 x72(x71 (x8 x73 x72)False)False)(x0 x26False)(∀ x72 x73 . x66 x73x66 x72(x66 (x56 x73 x72)False)False)(∀ x72 x73 . x66 x73(x0 x72False)x66 x72x0 (x8 x72 x73)False)(∀ x72 x73 . x7 x73x66 x72(x7 (x56 x73 x72)False)False)(∀ x72 x73 . x66 x73(x0 x72False)x66 x72x0 (x8 x73 x72)False)(∀ x72 x73 . x71 x73x66 x72(x71 (x56 x73 x72)False)False)((x0 x4False)False)(x0 x55False)(∀ x72 x73 . x66 x73x66 x72(x66 (x8 x73 x72)False)False)(∀ x72 x73 . x1 x73x1 x72(x1 (x8 x73 x72)False)False)(∀ x72 x73 . x69 x73x71 x73(x68 x72False)x71 x72(x69 (x8 x72 x73)False)False)(∀ x72 x73 . x69 x73x71 x73(x68 x72False)x71 x72(x69 (x8 x73 x72)False)False)(∀ x72 x73 . x68 x73x71 x73(x69 x72False)x71 x72(x68 (x8 x72 x73)False)False)(∀ x72 x73 . x68 x73x71 x73(x69 x72False)x71 x72(x68 (x8 x73 x72)False)False)(∀ x72 x73 . (x68 x73False)x71 x73(x68 x72False)x71 x72x68 (x8 x73 x72)False)(∀ x72 x73 . (x0 x73False)(x0 x72False)x62 x72 (x63 x73)(x54 (x35 x72 x73) x73 x72False)False)(∀ x72 . (x10 (x27 x72) x72False)False)(∀ x72 . (x62 (x34 x72) x72False)False)(∀ x72 . (x11 (x28 x72) x72False)False)(∀ x72 x73 x74 . (x0 x74False)(x0 x72False)x62 x72 (x63 x74)x54 x73 x74 x72(x62 x73 x74False)False)(∀ x72 x73 . x10 x73 x72(x62 x73 (x63 (x38 x9 x72))False)False)(∀ x72 x73 . x10 x73 x72(x33 x73False)False)(∀ x72 x73 . x10 x73 x72(x16 x73False)False)(∀ x72 x73 . x11 x73 x72(x33 x73False)False)(∀ x72 x73 . x11 x73 x72(x16 x73False)False)(∀ x72 x73 . x11 x73 x72(x17 x73False)False)(∀ x72 x73 x74 . x66 x74x66 x72x29 x73 x74x11 x73 (x51 x72)(x1 (x58 x74 x72 x73)False)False)((x54 x64 x55 x9False)False)((x62 x9 (x63 x55)False)False)(∀ x72 x73 . x71 x73x62 x72 x55(x62 (x3 x73 x72) x55False)False)(∀ x72 . x66 x72(x62 (x51 x72) (x63 x26)False)False)(∀ x72 . x66 x72x0 (x51 x72)False)(∀ x72 . x66 x72(x62 (x65 x72) x9False)False)(∀ x72 x73 x74 . x66 x74x66 x72x66 x73(x10 (x59 x74 x72 x73) (x51 x74)False)False)(∀ x72 x73 x74 . x66 x74x66 x72x66 x73(x29 (x59 x74 x72 x73) x72False)False)(∀ x72 x73 x74 . x66 x74x66 x72x66 x73(x70 (x56 (x65 x73) x74) x72False)(x60 x74 x72 x73False)False)(∀ x72 x73 x74 . x66 x74x66 x72x66 x73x60 x74 x72 x73x70 (x56 (x65 x73) x74) x72False)(∀ x72 x73 . x5 x73x5 x72(x70 x73 x72False)(x70 x72 x73False)False)(∀ x72 x73 . x71 x73x62 x72 x55(x3 x73 x72 = x3 x72 x73False)False)(∀ x72 x73 . x7 x73x7 x72(x8 x73 x72 = x8 x72 x73False)False)(∀ x72 . x0 x72(x30 x72False)False)(∀ x72 . x5 x72(x68 x72False)(x69 x72False)(x5 x72False)False)(∀ x72 . x5 x72(x68 x72False)(x69 x72False)(x0 x72False)False)(∀ x72 . x62 x72 x57(x66 x72False)False)(∀ x72 . x0 x72x5 x72x69 x72False)(∀ x72 . x0 x72x5 x72x68 x72False)(∀ x72 . x0 x72x5 x72(x5 x72False)False)(∀ x72 . x0 x72(x66 x72False)False)(∀ x72 . (x0 x72False)x5 x72(x68 x72False)(x69 x72False)False)(∀ x72 . (x0 x72False)x5 x72(x68 x72False)(x5 x72False)False)(∀ x72 . x66 x72(x18 x72False)False)(∀ x72 . x5 x72x69 x72x68 x72False)(∀ x72 . x5 x72x69 x72(x5 x72False)False)(∀ x72 . x5 x72x69 x72x0 x72False)(∀ x72 x73 . x18 x73x62 x72 x73(x18 x72False)False)(∀ x72 . (x0 x72False)x5 x72(x69 x72False)(x68 x72False)False)(∀ x72 . (x0 x72False)x5 x72(x69 x72False)(x5 x72False)False)(∀ x72 . x71 x72(x5 x72False)False)(∀ x72 x73 x74 . x0 x74x62 x72 (x63 (x38 x73 x74))(x0 x72False)False)(∀ x72 . x0 x72(x48 x72False)False)(∀ x72 . x5 x72x68 x72x69 x72False)(∀ x72 . x5 x72x68 x72(x5 x72False)False)(∀ x72 . x5 x72x68 x72x0 x72False)(∀ x72 . x71 x72(x7 x72False)False)(∀ x72 x73 x74 . x0 x74x62 x72 (x63 (x38 x74 x73))(x0 x72False)False)(∀ x72 . x0 x72(x18 x72False)False)(∀ x72 . x66 x72x69 x72False)(∀ x72 . x66 x72(x66 x72False)False)(∀ x72 . x1 x72(x71 x72False)False)(∀ x72 . x66 x72(x5 x72False)False)(∀ x72 . x66 x72(x71 x72False)False)(∀ x72 x73 x74 . x62 x74 (x63 (x38 x72 x73))(x46 x74 x73False)False)(∀ x72 x73 x74 . x62 x74 (x63 (x38 x73 x72))(x24 x74 x73False)False)(∀ x72 . x20 x72x42 x72(x18 x72False)False)(∀ x72 . x62 x72 x9x69 x72False)(∀ x72 . x66 x72(x1 x72False)False)(∀ x72 . x62 x72 x55(x71 x72False)False)(∀ x72 x73 x74 . x62 x74 (x63 (x38 x72 x73))(x17 x74False)False)(∀ x72 . x18 x72(x42 x72False)False)(∀ x72 . x18 x72(x20 x72False)False)(∀ x72 . x66 x72(x66 x72False)False)(∀ x72 . x66 x72(x18 x72False)False)(∀ x72 . x62 x72 x26(x1 x72False)False)(∀ x72 x73 . x30 x73x62 x72 (x63 x73)(x30 x72False)False)(∀ x72 x73 . x67 x72 x73x67 x73 x72False)(x58 x31 x32 (x59 x32 x31 x2) = x2False)((x70 x6 x32False)False)((x70 x2 x31False)False)((x66 x32False)False)((x66 x31False)False)False
type
prop
theory
HotG
name
-
proof
PUTyN..
Megalodon
-
proofgold address
TMWiu..
creator
35146 PrPhD../77070..
owner
35148 PrPhD../7a9dc..
term root
31435..