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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 x3 : ι → ι → ο . ∀ x4 x5 : ι → ο . ∀ x6 : ι → ι . ∀ x7 : ι → ι → ι → ο . ∀ x8 : ι → ι → ι . ∀ x9 : ι → ι → ι → ι → ι → ο . ∀ x10 : ι → ι → ι . ∀ x11 : ι → ι → ι → ι → ι . ∀ x12 : ι → ι → ι . ∀ x13 : ι → ι → ο . ∀ x14 : ι → ι → ι → ο . ∀ x15 x16 : ι → ο . ∀ x17 : ι → ι → ι → ι → ο . ∀ x18 : ι → ο . ∀ x19 . ∀ x20 : ι → ι → ι . ∀ x21 : ι → ι → ο . ∀ x22 : ι → ο . ∀ x23 . ∀ x24 : ι → ι . ∀ x25 : ι → ι → ο . ∀ x26 : ι → ο . ∀ x27 x28 . ∀ x29 : ι → ι → ι . ∀ x30 : ι → ι . ∀ x31 . ∀ x32 : ι → ι → ο . ∀ x33 x34 x35 x36 x37 . ∀ x38 : ι → ι → ο . ∀ x39 . ∀ x40 x41 : ι → ο . ∀ x42 . ∀ x43 x44 : ι → ι → ι . ∀ x45 x46 : ι → ι . ∀ x47 : ι → ο . ∀ x48 . ∀ x49 : ι → ι → ι . ∀ x50 : ι → ο . ∀ x51 : ι → ι . ∀ x52 x53 : ι → ο . ∀ x54 : ι → ι → ο . ∀ x55 : ι → ι → ι . ∀ x56 x57 . ∀ x58 : ι → ο . (∀ x59 x60 . x58 x60(x60 = x59False)x58 x59False)(∀ x59 x60 . x0 x59 x60x58 x60False)(∀ x59 . x58 x59(x59 = x57False)False)(∀ x59 x60 x61 . x0 x59 x60x2 x60 (x1 x61)x58 x61False)(∀ x59 x60 x61 . x0 x60 x61x2 x61 (x1 x59)(x2 x60 x59False)False)(∀ x59 x60 . x3 x60 x59(x2 x60 (x1 x59)False)False)(∀ x59 x60 . x2 x60 (x1 x59)(x3 x60 x59False)False)(∀ x59 x60 . (x4 x60False)x16 x60x5 x60x15 x59x7 x59 (x6 x60) (x6 x60)x14 x59 (x6 x60) (x6 x60)x2 x59 (x1 (x8 (x6 x60) (x6 x60)))x9 x60 (x10 x59 x60) (x12 x59 x60) (x11 (x6 x60) (x6 x60) x59 (x10 x59 x60)) (x11 (x6 x60) (x6 x60) x59 (x12 x59 x60))(x13 x59 x60False)False)(∀ x59 x60 . (x4 x60False)x16 x60x5 x60x15 x59x7 x59 (x6 x60) (x6 x60)x14 x59 (x6 x60) (x6 x60)x2 x59 (x1 (x8 (x6 x60) (x6 x60)))(x2 (x12 x59 x60) (x6 x60)False)(x13 x59 x60False)False)(∀ x59 x60 . (x4 x60False)x16 x60x5 x60x15 x59x7 x59 (x6 x60) (x6 x60)x14 x59 (x6 x60) (x6 x60)x2 x59 (x1 (x8 (x6 x60) (x6 x60)))(x2 (x10 x59 x60) (x6 x60)False)(x13 x59 x60False)False)(∀ x59 x60 x61 x62 . (x4 x62False)x16 x62x5 x62x15 x59x7 x59 (x6 x62) (x6 x62)x14 x59 (x6 x62) (x6 x62)x2 x59 (x1 (x8 (x6 x62) (x6 x62)))x13 x59 x62x2 x61 (x6 x62)x2 x60 (x6 x62)(x9 x62 x61 x60 (x11 (x6 x62) (x6 x62) x59 x61) (x11 (x6 x62) (x6 x62) x59 x60)False)False)(∀ x59 x60 x61 x62 x63 x64 . (x4 x64False)x16 x64x5 x64x2 x59 (x6 x64)x2 x63 (x6 x64)x2 x60 (x6 x64)x2 x62 (x6 x64)x2 x61 (x6 x64)x17 x64 x59 x63 x60x17 x64 x59 x63 x62x17 x64 x59 x63 x61(x59 = x63False)(x17 x64 x60 x62 x61False)False)(∀ x59 x60 x61 . (x4 x61False)x16 x61x5 x61x2 x59 (x6 x61)x2 x60 (x6 x61)(x17 x61 x59 x60 x59False)False)(∀ x59 x60 x61 . (x4 x61False)x16 x61x5 x61x2 x59 (x6 x61)x2 x60 (x6 x61)(x17 x61 x59 x60 x60False)False)(∀ x59 x60 x61 . (x4 x61False)x16 x61x5 x61x2 x59 (x6 x61)x2 x60 (x6 x61)(x17 x61 x59 x59 x60False)False)(∀ x59 x60 x61 x62 . (x4 x62False)x16 x62x5 x62x2 x59 (x6 x62)x2 x61 (x6 x62)x2 x60 (x6 x62)x17 x62 x59 x61 x60(x17 x62 x60 x61 x59False)False)(∀ x59 x60 x61 x62 . (x4 x62False)x16 x62x5 x62x2 x59 (x6 x62)x2 x61 (x6 x62)x2 x60 (x6 x62)x17 x62 x59 x61 x60(x17 x62 x60 x59 x61False)False)(∀ x59 x60 x61 x62 . (x4 x62False)x16 x62x5 x62x2 x59 (x6 x62)x2 x61 (x6 x62)x2 x60 (x6 x62)x17 x62 x59 x61 x60(x17 x62 x61 x60 x59False)False)(∀ x59 x60 x61 x62 . (x4 x62False)x16 x62x5 x62x2 x59 (x6 x62)x2 x61 (x6 x62)x2 x60 (x6 x62)x17 x62 x59 x61 x60(x17 x62 x61 x59 x60False)False)(∀ x59 x60 x61 x62 . (x4 x62False)x16 x62x5 x62x2 x59 (x6 x62)x2 x61 (x6 x62)x2 x60 (x6 x62)x17 x62 x59 x61 x60(x17 x62 x59 x60 x61False)False)(∀ x59 x60 . x2 x59 x60(x58 x60False)(x0 x59 x60False)False)(∀ x59 x60 . x0 x60 x59(x2 x60 x59False)False)(x58 x56False)(∀ x59 . (x3 x59 x59False)False)(∀ x59 x60 x61 x62 . (x58 x62False)x15 x59x7 x59 x62 x61x2 x59 (x1 (x8 x62 x61))x2 x60 x62(x11 x62 x61 x59 x60 = x55 x59 x60False)False)((x18 x19False)False)(x58 x19False)(∀ x59 x60 . (x15 (x20 x59 x60)False)False)(∀ x59 x60 . (x54 (x20 x59 x60) x59False)False)(∀ x59 x60 . (x21 (x20 x60 x59) x59False)False)(∀ x59 x60 . (x53 (x20 x59 x60)False)False)(x22 x23False)((x15 x23False)False)((x53 x23False)False)(∀ x59 . (x52 x59False)x50 x59x58 (x51 x59)False)(∀ x59 . (x52 x59False)x50 x59(x2 (x51 x59) (x1 (x6 x59))False)False)(∀ x59 x60 . (x58 x60False)(x58 x59False)x58 (x49 x59 x60)False)(∀ x59 x60 . (x58 x60False)(x58 x59False)(x15 (x49 x59 x60)False)False)(∀ x59 x60 . (x58 x60False)(x58 x59False)(x54 (x49 x59 x60) x59False)False)(∀ x59 x60 . (x58 x60False)(x58 x59False)(x21 (x49 x59 x60) x60False)False)(∀ x59 x60 . (x58 x60False)(x58 x59False)(x53 (x49 x59 x60)False)False)(∀ x59 x60 . (x58 x60False)(x58 x59False)(x2 (x49 x59 x60) (x1 (x8 x60 x59))False)False)(x58 x48False)(∀ x59 . (x14 (x24 x59) x59 x59False)False)(∀ x59 . (x7 (x24 x59) x59 x59False)False)(∀ x59 . (x25 (x24 x59) x59False)False)(∀ x59 . (x15 (x24 x59)False)False)(∀ x59 . (x54 (x24 x59) x59False)False)(∀ x59 . (x21 (x24 x59) x59False)False)(∀ x59 . (x53 (x24 x59)False)False)(∀ x59 . (x2 (x24 x59) (x1 (x8 x59 x59))False)False)((x26 x27False)False)((x15 x27False)False)((x53 x27False)False)(∀ x59 . (x4 x59False)x50 x59x47 (x46 x59)False)(∀ x59 . (x4 x59False)x50 x59(x2 (x46 x59) (x1 (x6 x59))False)False)(∀ x59 . (x52 x59False)x50 x59(x47 (x45 x59)False)False)(∀ x59 . (x52 x59False)x50 x59x58 (x45 x59)False)(∀ x59 . (x52 x59False)x50 x59(x2 (x45 x59) (x1 (x6 x59))False)False)((x58 x28False)False)(∀ x59 x60 . (x54 (x44 x59 x60) x59False)False)(∀ x59 x60 . (x21 (x44 x60 x59) x59False)False)(∀ x59 x60 . (x53 (x44 x59 x60)False)False)(∀ x59 x60 . (x58 (x44 x59 x60)False)False)(∀ x59 x60 . (x2 (x44 x59 x60) (x1 (x8 x60 x59))False)False)(∀ x59 x60 . (x15 (x29 x59 x60)False)False)(∀ x59 x60 . (x54 (x29 x59 x60) x59False)False)(∀ x59 x60 . (x21 (x29 x60 x59) x59False)False)(∀ x59 x60 . (x53 (x29 x59 x60)False)False)(∀ x59 x60 . (x2 (x29 x59 x60) (x1 (x8 x60 x59))False)False)(∀ x59 x60 . (x7 (x43 x59 x60) x60 x59False)False)(∀ x59 x60 . (x15 (x43 x59 x60)False)False)(∀ x59 x60 . (x54 (x43 x59 x60) x59False)False)(∀ x59 x60 . (x21 (x43 x60 x59) x59False)False)(∀ x59 x60 . (x53 (x43 x59 x60)False)False)(∀ x59 x60 . (x2 (x43 x59 x60) (x1 (x8 x60 x59))False)False)((x15 x42False)False)((x53 x42False)False)(∀ x59 . (x41 x59False)x50 x59x40 (x6 x59)False)(∀ x59 . x41 x59x50 x59(x40 (x6 x59)False)False)(∀ x59 . x4 x59x50 x59(x47 (x6 x59)False)False)(∀ x59 . (x4 x59False)x50 x59x47 (x6 x59)False)(∀ x59 . (x52 x59False)x50 x59x58 (x6 x59)False)((x58 x57False)False)(∀ x59 . x52 x59x50 x59(x58 (x6 x59)False)False)(∀ x59 x60 x61 . x18 x61x53 x59x54 x59 x61x15 x59(x15 (x55 x59 x60)False)False)(∀ x59 x60 x61 . x18 x61x53 x59x54 x59 x61x15 x59(x53 (x55 x59 x60)False)False)(∀ x59 . (x2 (x30 x59) x59False)False)((x50 x39False)False)((x5 x31False)False)(∀ x59 . x5 x59(x50 x59False)False)(∀ x59 x60 x61 x62 . (x58 x62False)x15 x59x7 x59 x62 x61x2 x59 (x1 (x8 x62 x61))x2 x60 x62(x2 (x11 x62 x61 x59 x60) x61False)False)(∀ x59 x60 x61 x62 . (x52 x62False)x5 x62x2 x61 (x6 x62)x2 x59 (x6 x62)x2 x60 (x6 x62)x9 x62 x61 x59 x61 x60(x17 x62 x61 x59 x60False)False)(∀ x59 x60 x61 x62 . (x52 x62False)x5 x62x2 x61 (x6 x62)x2 x59 (x6 x62)x2 x60 (x6 x62)x17 x62 x61 x59 x60(x9 x62 x61 x59 x61 x60False)False)(∀ x59 . x50 x59x38 x59 x57(x52 x59False)False)(∀ x59 x60 . x18 x60x2 x59 (x1 x60)(x18 x59False)False)(∀ x59 . x50 x59x52 x59(x38 x59 x57False)False)(∀ x59 x60 x61 . (x58 x61False)(x58 x59False)x2 x60 (x1 (x8 x61 x59))x15 x60x7 x60 x61 x59(x7 x60 x61 x59False)False)(∀ x59 x60 x61 . (x58 x61False)(x58 x59False)x2 x60 (x1 (x8 x61 x59))x15 x60x7 x60 x61 x59x58 x60False)(∀ x59 x60 x61 . (x58 x61False)(x58 x59False)x2 x60 (x1 (x8 x61 x59))x15 x60x7 x60 x61 x59(x15 x60False)False)(∀ x59 x60 . x18 x60x2 x59 x60(x15 x59False)False)(∀ x59 x60 . x18 x60x2 x59 x60(x53 x59False)False)(∀ x59 . x50 x59(x41 x59False)x4 x59False)(∀ x59 . x58 x59(x18 x59False)False)(∀ x59 . x50 x59x4 x59(x41 x59False)False)(∀ x59 x60 x61 . x2 x61 (x1 (x8 x59 x60))x15 x61x26 x61x32 x61 x60(x14 x61 x59 x60False)False)(∀ x59 x60 x61 . x2 x61 (x1 (x8 x59 x60))x15 x61x26 x61x32 x61 x60(x15 x61False)False)(∀ x59 . x47 x59x53 x59x15 x59(x22 x59False)False)(∀ x59 . x47 x59x53 x59x15 x59(x15 x59False)False)(∀ x59 . x47 x59x53 x59x15 x59(x53 x59False)False)(∀ x59 . x50 x59(x41 x59False)x41 x59False)(∀ x59 . x50 x59(x41 x59False)x52 x59False)(∀ x59 x60 x61 . x2 x61 (x1 (x8 x60 x59))x15 x61x14 x61 x60 x59(x32 x61 x59False)False)(∀ x59 x60 x61 . x2 x61 (x1 (x8 x60 x59))x15 x61x14 x61 x60 x59(x26 x61False)False)(∀ x59 x60 x61 . x2 x61 (x1 (x8 x60 x59))x15 x61x14 x61 x60 x59(x15 x61False)False)(∀ x59 . x53 x59x15 x59(x22 x59False)(x15 x59False)False)(∀ x59 . x53 x59x15 x59(x22 x59False)(x53 x59False)False)(∀ x59 . x53 x59x15 x59(x22 x59False)x47 x59False)(∀ x59 . x50 x59x52 x59(x41 x59False)False)(∀ x59 . x50 x59x52 x59(x52 x59False)False)(∀ x59 x60 x61 . x58 x61x2 x59 (x1 (x8 x60 x61))(x58 x59False)False)(∀ x59 x60 . x2 x60 (x1 (x8 x59 x59))x7 x60 x59 x59(x25 x60 x59False)False)(∀ x59 . x58 x59x53 x59x15 x59(x22 x59False)False)(∀ x59 . x58 x59x53 x59x15 x59(x15 x59False)False)(∀ x59 . x58 x59x53 x59x15 x59(x53 x59False)False)(∀ x59 x60 x61 . x58 x61x2 x59 (x1 (x8 x61 x60))(x58 x59False)False)(∀ x59 x60 x61 . (x58 x61False)x2 x59 (x1 (x8 x60 x61))x7 x59 x60 x61(x25 x59 x60False)False)(∀ x59 x60 . x53 x60x15 x60x2 x59 (x1 x60)(x15 x59False)False)(∀ x59 . x50 x59(x4 x59False)x52 x59False)(∀ x59 x60 x61 . x2 x61 (x1 (x8 x59 x60))(x54 x61 x60False)False)(∀ x59 x60 x61 . x2 x61 (x1 (x8 x60 x59))(x21 x61 x60False)False)(∀ x59 x60 x61 . (x58 x61False)x58 x59x2 x60 (x1 (x8 x61 x59))x25 x60 x61False)(∀ x59 x60 x61 . x58 x61x2 x59 (x1 (x8 x61 x60))x7 x59 x61 x60(x25 x59 x61False)False)(∀ x59 . x58 x59x53 x59x15 x59(x26 x59False)False)(∀ x59 . x58 x59x53 x59x15 x59(x15 x59False)False)(∀ x59 . x58 x59x53 x59x15 x59(x53 x59False)False)(∀ x59 . x50 x59x52 x59(x4 x59False)False)(∀ x59 x60 x61 . x2 x61 (x1 (x8 x59 x60))(x53 x61False)False)(∀ x59 x60 x61 . x58 x61x2 x59 (x1 (x8 x61 x60))(x25 x59 x61False)False)(∀ x59 x60 x61 . x2 x60 (x1 (x8 x61 x59))x25 x60 x61(x7 x60 x61 x59False)False)(∀ x59 . x58 x59(x15 x59False)False)(∀ x59 . x50 x59(x4 x59False)x52 x59False)(∀ x59 . x50 x59x38 x59 x56(x4 x59False)False)(∀ x59 . x50 x59x38 x59 x56x52 x59False)(∀ x59 . x50 x59(x52 x59False)x4 x59(x38 x59 x56False)False)(∀ x59 x60 . x0 x59 x60x0 x60 x59False)(x11 (x6 x36) (x6 x36) x37 x35 = x35False)(x17 x36 x34 x33 x35False)((x11 (x6 x36) (x6 x36) x37 x33 = x33False)False)((x11 (x6 x36) (x6 x36) x37 x34 = x34False)False)((x13 x37 x36False)False)((x2 x37 (x1 (x8 (x6 x36) (x6 x36)))False)False)((x14 x37 (x6 x36) (x6 x36)False)False)((x7 x37 (x6 x36) (x6 x36)False)False)((x15 x37False)False)((x2 x35 (x6 x36)False)False)((x2 x33 (x6 x36)False)False)((x2 x34 (x6 x36)False)False)((x5 x36False)False)((x16 x36False)False)(x4 x36False)False
type
prop
theory
HotG
name
-
proof
PUZNP..
Megalodon
-
proofgold address
TMdbY..
creator
35136 PrPhD../b009d..
owner
35140 PrPhD../d7fd7..
term root
bccdb..