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Proofgold Address

address
PUgWeN3ZaBZufyx5E5mEkX6rgmhrYtNhrnn
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0
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conjpub
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current assets
76cd1../ac5c8.. bday: 35122 doc published by PrPhD..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Theorem 55d5f.. : ∀ x0 : ι → ι → ι . ∀ x1 : ι → ι → ο . ∀ x2 : ι → ι . ∀ x3 : ι → ι → ο . ∀ x4 : ι → ι → ι . ∀ x5 . ∀ x6 : ι → ι → ι . ∀ x7 . ∀ x8 : ι → ο . ∀ x9 x10 : ι → ι . ∀ x11 : ι → ο . ∀ x12 x13 x14 x15 x16 x17 . ∀ x18 : ι → ο . ∀ x19 : ι → ι . ∀ x20 x21 x22 x23 : ι → ο . ∀ x24 x25 . ∀ x26 x27 x28 : ι → ο . ∀ x29 : ι → ι → ι . ∀ x30 : ι → ο . ∀ x31 x32 x33 x34 x35 . ∀ x36 : ι → ο . ∀ x37 x38 . ∀ x39 : ι → ο . ∀ x40 x41 . ∀ x42 : ι → ο . ∀ x43 : ι → ι . ∀ x44 : ι → ο . ∀ x45 . ∀ x46 : ι → ι → ι → ο . ∀ x47 . ∀ x48 : ι → ι . ∀ x49 x50 . ∀ x51 : ι → ι → ο . ∀ x52 . ∀ x53 : ι → ο . ∀ x54 : ι → ι → ι . ∀ x55 : ι → ι . ∀ x56 x57 : ι → ι → ι . ∀ x58 : ι → ι . ∀ x59 : ι → ο . (∀ x60 x61 . x59 x61x59 x60(x55 (x54 x61 x60) = x56 (x57 (x58 x61) (x55 x60)) (x57 (x58 x60) (x55 x61))False)False)(∀ x60 x61 . x59 x61x59 x60(x58 (x54 x61 x60) = x0 (x57 (x58 x61) (x58 x60)) (x57 (x55 x61) (x55 x60))False)False)(∀ x60 x61 . x53 x61(x61 = x60False)x53 x60False)(∀ x60 x61 . x1 x60 x61x53 x61False)(∀ x60 . x53 x60(x60 = x52False)False)(∀ x60 x61 x62 . x1 x60 x61x3 x61 (x2 x62)x53 x62False)(∀ x60 x61 x62 . x1 x61 x62x3 x62 (x2 x60)(x3 x61 x60False)False)(∀ x60 . x59 x60(x4 x60 x5 = x60False)False)(∀ x60 x61 . x51 x61 x60(x3 x61 (x2 x60)False)False)(∀ x60 x61 . x3 x61 (x2 x60)(x51 x61 x60False)False)(∀ x60 . x59 x60(x54 x50 x60 = x60False)False)(∀ x60 x61 . x3 x60 x61(x53 x61False)(x1 x60 x61False)False)(∀ x60 . x59 x60(x54 x60 x5 = x5False)False)(∀ x60 x61 . x1 x61 x60(x3 x61 x60False)False)((x3 x52 x49False)False)(∀ x60 . x59 x60(x6 x60 x5 = x60False)False)(∀ x60 x61 . x59 x61x59 x60(x4 (x48 x61) (x48 x60) = x4 x60 x61False)False)(∀ x60 x61 . x59 x61x59 x60(x6 (x48 x61) (x48 x60) = x48 (x6 x61 x60)False)False)(∀ x60 x61 x62 . x59 x62x59 x60x59 x61(x54 (x54 x62 x60) x61 = x54 x62 (x54 x60 x61)False)False)(∀ x60 x61 x62 . x59 x62x59 x60x59 x61(x6 (x6 x62 x60) x61 = x6 x62 (x6 x60 x61)False)False)(∀ x60 x61 x62 . x59 x62x59 x60x59 x61(x54 (x6 x62 x60) x61 = x6 (x54 x62 x61) (x54 x60 x61)False)False)(∀ x60 . x59 x60(x54 x60 (x48 x50) = x48 x60False)False)((x3 x50 x47False)False)((x3 x50 x7False)False)((x46 x50 x47 x7False)False)((x8 x50False)False)(x53 x50False)(∀ x60 x61 . x59 x61x59 x60(x6 x61 (x48 x60) = x4 x61 x60False)False)((x3 x45 x47False)False)((x3 x45 x7False)False)((x46 x45 x47 x7False)False)((x53 x45False)False)((x48 (x48 x50) = x50False)False)((x48 x50 = x48 x50False)False)((x48 x45 = x45False)False)((x54 x50 x50 = x50False)False)((x54 x50 x45 = x45False)False)((x54 x45 x50 = x45False)False)((x54 x45 x45 = x45False)False)((x4 (x48 x50) (x48 x50) = x45False)False)((x4 (x48 x50) x45 = x48 x50False)False)((x4 x50 x50 = x45False)False)((x4 x50 x45 = x50False)False)((x4 x45 (x48 x50) = x50False)False)((x4 x45 x50 = x48 x50False)False)((x4 x45 x45 = x45False)False)((x6 (x48 x50) x50 = x45False)False)((x6 (x48 x50) x45 = x48 x50False)False)((x6 x50 (x48 x50) = x45False)False)((x6 x50 x45 = x50False)False)((x6 x45 (x48 x50) = x48 x50False)False)((x6 x45 x50 = x50False)False)((x6 x45 x45 = x45False)False)(∀ x60 . (x51 x60 x60False)False)(∀ x60 x61 x62 . (x53 x62False)(x53 x60False)x3 x60 (x2 x62)x3 x61 x60(x46 x61 x62 x60False)False)(∀ x60 x61 x62 . (x53 x62False)(x53 x60False)x3 x60 (x2 x62)x46 x61 x62 x60(x3 x61 x60False)False)(∀ x60 x61 . x3 x61 x47x44 x60(x0 x61 x60 = x4 x61 x60False)False)(∀ x60 x61 . x3 x61 x47x44 x60(x57 x61 x60 = x54 x61 x60False)False)(∀ x60 x61 . x3 x61 x47x44 x60(x56 x61 x60 = x6 x61 x60False)False)((x5 = x52False)False)((x7 = x49False)False)(∀ x60 . x59 x60(x55 x60 = x9 x60False)False)(∀ x60 . x59 x60(x58 x60 = x43 x60False)False)(∀ x60 . x3 x60 x47(x10 x60 = x48 x60False)False)((x42 x41False)False)((x53 x41False)False)((x44 x40False)False)((x42 x40False)False)((x59 x40False)False)((x53 x40False)False)((x39 x38False)False)((x42 x38False)False)((x44 x37False)False)((x39 x37False)False)((x42 x37False)False)((x59 x37False)False)((x36 x35False)False)((x11 x35False)False)(x53 x35False)((x8 x12False)False)((x42 x12False)False)((x44 x13False)False)((x8 x13False)False)((x42 x13False)False)((x59 x13False)False)((x59 x14False)False)(x53 x14False)(x53 x15False)((x11 x34False)False)(x53 x34False)((x42 x33False)False)((x44 x16False)False)((x59 x32False)False)((x53 x17False)False)((x11 x31False)False)(x53 x31False)(∀ x60 . x59 x60(x48 (x48 x60) = x60False)False)(∀ x60 . x3 x60 x47(x10 (x10 x60) = x60False)False)(∀ x60 x61 . (x39 x61False)x44 x61(x39 x60False)x44 x60x39 (x6 x61 x60)False)(∀ x60 x61 . (x53 x61False)x59 x61(x53 x60False)x59 x60x53 (x54 x61 x60)False)(x30 x47False)(∀ x60 x61 . x44 x61x44 x60(x44 (x4 x61 x60)False)False)(∀ x60 x61 . x44 x61x44 x60(x44 (x54 x61 x60)False)False)(∀ x60 . (x53 x60False)x59 x60(x59 (x48 x60)False)False)(∀ x60 . (x53 x60False)x59 x60x53 (x48 x60)False)((x11 x49False)False)(∀ x60 x61 . x44 x61x44 x60(x44 (x6 x61 x60)False)False)((x36 x49False)False)((x36 x47False)False)(∀ x60 x61 . x59 x61x59 x60(x59 (x4 x61 x60)False)False)(∀ x60 . x44 x60(x44 (x48 x60)False)False)(∀ x60 . x44 x60(x59 (x48 x60)False)False)(∀ x60 x61 . x59 x61x59 x60(x59 (x54 x61 x60)False)False)((x18 x47False)False)(∀ x60 x61 . x59 x61x59 x60(x59 (x6 x61 x60)False)False)(∀ x60 . x59 x60(x44 (x9 x60)False)False)(∀ x60 x61 . (x39 x61False)x44 x61(x39 x60False)x44 x60x39 (x54 x61 x60)False)(∀ x60 x61 . (x8 x61False)x44 x61(x8 x60False)x44 x60x39 (x54 x61 x60)False)(∀ x60 x61 . (x8 x61False)x44 x61(x39 x60False)x44 x60x8 (x54 x60 x61)False)(∀ x60 x61 . (x8 x61False)x44 x61(x39 x60False)x44 x60x8 (x54 x61 x60)False)(∀ x60 x61 . x39 x61x44 x61(x39 x60False)x44 x60(x8 (x4 x60 x61)False)False)(∀ x60 x61 . x39 x61x44 x61(x39 x60False)x44 x60(x39 (x4 x61 x60)False)False)(∀ x60 x61 . x8 x61x44 x61(x8 x60False)x44 x60(x39 (x4 x60 x61)False)False)((x53 x52False)False)(x53 x47False)(∀ x60 . x59 x60(x44 (x43 x60)False)False)(∀ x60 x61 . x8 x61x44 x61(x8 x60False)x44 x60(x8 (x4 x61 x60)False)False)(∀ x60 x61 . (x39 x61False)x44 x61(x8 x60False)x44 x60x8 (x4 x60 x61)False)(∀ x60 x61 . (x39 x61False)x44 x61(x8 x60False)x44 x60x39 (x4 x61 x60)False)(∀ x60 . (x39 x60False)x44 x60x8 (x48 x60)False)(∀ x60 . (x39 x60False)x44 x60(x59 (x48 x60)False)False)(∀ x60 . (x8 x60False)x44 x60x39 (x48 x60)False)(∀ x60 . (x8 x60False)x44 x60(x59 (x48 x60)False)False)(∀ x60 x61 . x39 x61x44 x61(x8 x60False)x44 x60(x39 (x6 x60 x61)False)False)(∀ x60 x61 . x39 x61x44 x61(x8 x60False)x44 x60(x39 (x6 x61 x60)False)False)(∀ x60 x61 . x8 x61x44 x61(x39 x60False)x44 x60(x8 (x6 x60 x61)False)False)(∀ x60 x61 . x8 x61x44 x61(x39 x60False)x44 x60(x8 (x6 x61 x60)False)False)(∀ x60 x61 . (x8 x61False)x44 x61(x8 x60False)x44 x60x8 (x6 x61 x60)False)(∀ x60 x61 . (x53 x61False)(x53 x60False)x3 x60 (x2 x61)(x46 (x29 x60 x61) x61 x60False)False)(∀ x60 . (x3 (x19 x60) x60False)False)(∀ x60 x61 x62 . (x53 x62False)(x53 x60False)x3 x60 (x2 x62)x46 x61 x62 x60(x3 x61 x62False)False)(∀ x60 x61 . x3 x61 x47x44 x60(x3 (x0 x61 x60) x47False)False)(∀ x60 x61 . x3 x61 x47x44 x60(x3 (x57 x61 x60) x47False)False)(∀ x60 x61 . x3 x61 x47x44 x60(x3 (x56 x61 x60) x47False)False)((x46 x5 x47 x7False)False)((x3 x7 (x2 x47)False)False)(∀ x60 . x59 x60(x59 (x48 x60)False)False)(∀ x60 . x59 x60(x3 (x55 x60) x47False)False)(∀ x60 . x59 x60(x3 (x58 x60) x47False)False)(∀ x60 . x3 x60 x47(x3 (x10 x60) x47False)False)(∀ x60 x61 . x3 x61 x47x44 x60(x57 x61 x60 = x57 x60 x61False)False)(∀ x60 x61 . x3 x61 x47x44 x60(x56 x61 x60 = x56 x60 x61False)False)(∀ x60 x61 . x59 x61x59 x60(x54 x61 x60 = x54 x60 x61False)False)(∀ x60 x61 . x59 x61x59 x60(x6 x61 x60 = x6 x60 x61False)False)(∀ x60 . x42 x60(x8 x60False)(x39 x60False)(x42 x60False)False)(∀ x60 . x42 x60(x8 x60False)(x39 x60False)(x53 x60False)False)(∀ x60 . x3 x60 (x2 x47)(x18 x60False)False)(∀ x60 . x53 x60x42 x60x39 x60False)(∀ x60 . x53 x60x42 x60x8 x60False)(∀ x60 . x53 x60x42 x60(x42 x60False)False)(∀ x60 . (x53 x60False)x42 x60(x8 x60False)(x39 x60False)False)(∀ x60 . (x53 x60False)x42 x60(x8 x60False)(x42 x60False)False)(∀ x60 . x42 x60x39 x60x8 x60False)(∀ x60 . x42 x60x39 x60(x42 x60False)False)(∀ x60 . x42 x60x39 x60x53 x60False)(∀ x60 . x18 x60(x20 x60False)False)(∀ x60 . (x53 x60False)x42 x60(x39 x60False)(x8 x60False)False)(∀ x60 . (x53 x60False)x42 x60(x39 x60False)(x42 x60False)False)(∀ x60 . x44 x60(x42 x60False)False)(∀ x60 . x18 x60(x21 x60False)False)(∀ x60 . x42 x60x8 x60x39 x60False)(∀ x60 . x42 x60x8 x60(x42 x60False)False)(∀ x60 . x42 x60x8 x60x53 x60False)(∀ x60 . x44 x60(x59 x60False)False)(∀ x60 . x28 x60(x18 x60False)False)(∀ x60 . x22 x60(x42 x60False)False)(∀ x60 . x22 x60(x44 x60False)False)(∀ x60 . x22 x60(x59 x60False)False)(∀ x60 . x27 x60(x28 x60False)False)(∀ x60 . x53 x60(x36 x60False)False)(∀ x60 . x3 x60 x7(x11 x60False)False)(∀ x60 x61 . x11 x61x3 x60 (x2 x61)(x11 x60False)False)(∀ x60 x61 . x27 x61x3 x60 (x2 x61)(x27 x60False)False)(∀ x60 x61 . x28 x61x3 x60 (x2 x61)(x28 x60False)False)(∀ x60 x61 . x18 x61x3 x60 (x2 x61)(x18 x60False)False)(∀ x60 x61 . x21 x61x3 x60 (x2 x61)(x21 x60False)False)(∀ x60 . x3 x60 x47(x44 x60False)False)(∀ x60 . x3 x60 x47(x59 x60False)False)(∀ x60 . x11 x60(x27 x60False)False)(∀ x60 x61 . x20 x61x3 x60 (x2 x61)(x20 x60False)False)(∀ x60 . x53 x60(x11 x60False)False)(∀ x60 x61 . x11 x61x3 x60 x61(x22 x60False)False)(∀ x60 x61 . x27 x61x3 x60 x61(x26 x60False)False)(∀ x60 x61 . x28 x61x3 x60 x61(x23 x60False)False)(∀ x60 x61 . x18 x61x3 x60 x61(x44 x60False)False)(∀ x60 x61 . x21 x61x3 x60 x61(x42 x60False)False)(∀ x60 x61 . x20 x61x3 x60 x61(x59 x60False)False)(∀ x60 . x3 x60 (x2 x7)(x11 x60False)False)(∀ x60 x61 . x1 x60 x61x1 x61 x60False)(x58 (x54 x25 x24) = x10 (x57 (x55 x25) (x55 x24))x55 (x54 x25 x24) = x5False)((x58 x24 = x5False)False)((x58 x25 = x5False)False)((x59 x24False)False)((x59 x25False)False)False (proof)

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