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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 : ι → ι → ο . ∀ x3 x4 x5 x6 : ι → ο . ∀ x7 : ι → ι . ∀ x8 : ι → ι → ι → ι . ∀ x9 : ι → ι → ι . ∀ x10 : ι → ι . ∀ x11 : ι → ι → ι . ∀ x12 x13 : ι → ο . ∀ x14 : ι → ι → ι . ∀ x15 x16 . ∀ x17 : ι → ι → ι → ο . ∀ x18 : ι → ο . ∀ x19 . ∀ x20 : ι → ο . ∀ x21 x22 x23 . ∀ x24 : ι → ο . ∀ x25 x26 x27 . ∀ x28 x29 : ι → ι → ι . ∀ x30 : ι → ι → ο . ∀ x31 : ι → ο . ∀ x32 : ι → ι . ∀ x33 x34 x35 . ∀ x36 : ι → ο . ∀ x37 . ∀ x38 : ι → ι → ι . ∀ x39 : ι → ο . ∀ x40 x41 x42 x43 . ∀ x44 x45 : ι → ο . ∀ x46 x47 x48 . ∀ x49 : ι → ι . ∀ x50 : ι → ο . ∀ x51 x52 : ι → ι . ∀ x53 : ι → ο . ∀ x54 : ι → ι . ∀ x55 : ι → ι → ο . ∀ x56 . ∀ x57 x58 : ι → ο . ∀ x59 x60 . ∀ x61 : ι → ι → ο . ∀ x62 . ∀ x63 : ι → ο . (∀ x64 x65 . x63 x65(x65 = x64False)x63 x64False)(∀ x64 x65 . x0 x64 x65x63 x65False)(∀ x64 . x63 x64(x64 = x62False)False)(∀ x64 x65 x66 . x0 x64 x65x2 x65 (x1 x66)x63 x66False)(∀ x64 x65 x66 . x0 x65 x66x2 x66 (x1 x64)(x2 x65 x64False)False)(∀ x64 x65 x66 . x3 x66x3 x64x4 x66(x66 = x62False)x5 x65x13 x65x6 x65x12 x65x7 x65 = x66x9 x65 (x8 x65 x64 x66) = x11 x64 (x8 x65 x64 x66)(x11 x64 x66 = x10 x65False)False)(∀ x64 x65 x66 . x3 x66x3 x64x4 x66(x66 = x62False)x5 x65x13 x65x6 x65x12 x65x7 x65 = x66(x0 (x8 x65 x64 x66) x66False)(x11 x64 x66 = x10 x65False)False)(∀ x64 x65 x66 . x3 x66x3 x64x4 x66(x66 = x62False)x5 x65x13 x65x6 x65x12 x65x7 x65 = x66(x3 (x8 x65 x64 x66)False)(x11 x64 x66 = x10 x65False)False)(∀ x64 x65 . x61 x65 x64(x2 x65 (x1 x64)False)False)(∀ x64 x65 . x2 x65 (x1 x64)(x61 x65 x64False)False)(∀ x64 x65 . x2 x64 x65(x63 x65False)(x0 x64 x65False)False)(∀ x64 x65 . x13 x65x6 x65x13 x64x6 x64x7 x65 = x7 x64x9 x65 (x14 x64 x65) = x9 x64 (x14 x64 x65)(x65 = x64False)False)(∀ x64 x65 . x13 x65x6 x65x13 x64x6 x64x7 x65 = x7 x64(x0 (x14 x64 x65) (x7 x65)False)(x65 = x64False)False)(∀ x64 x65 . x0 x65 x64(x2 x65 x64False)False)((x2 x62 x60False)False)((x2 x16 x15False)False)((x2 x16 x59False)False)((x17 x16 x15 x59False)False)((x58 x16False)False)(x63 x16False)(∀ x64 . (x61 x64 x64False)False)(∀ x64 x65 x66 . (x63 x66False)(x63 x64False)x2 x64 (x1 x66)x2 x65 x64(x17 x65 x66 x64False)False)(∀ x64 x65 x66 . (x63 x66False)(x63 x64False)x2 x64 (x1 x66)x17 x65 x66 x64(x2 x65 x64False)False)((x59 = x60False)False)((x57 x56False)False)(x63 x56False)(∀ x64 . (x63 x64False)(x55 (x54 x64) x16False)False)(∀ x64 . (x63 x64False)(x2 (x54 x64) (x1 x64)False)False)(∀ x64 . x53 x64(x55 (x52 x64) x64False)False)(∀ x64 . x53 x64(x6 (x52 x64)False)False)(∀ x64 . x53 x64(x13 (x52 x64)False)False)((x18 x19False)False)(x63 x19False)(x20 x21False)((x6 x21False)False)((x13 x21False)False)(∀ x64 . x53 x64(x55 (x51 x64) x64False)False)((x18 x22False)False)(∀ x64 . (x50 x64False)x50 (x49 x64)False)(∀ x64 . (x50 x64False)(x2 (x49 x64) (x1 x64)False)False)(x50 x48False)(x63 x23False)((x12 x47False)False)((x6 x47False)False)((x13 x47False)False)((x5 x47False)False)((x3 x46False)False)((x24 x46False)False)((x45 x46False)False)(x63 x46False)((x44 x43False)False)((x6 x43False)False)((x13 x43False)False)((x53 x25False)False)((x50 x25False)False)((x3 x25False)False)((x24 x25False)False)((x45 x25False)False)((x63 x42False)False)((x4 x26False)False)((x3 x26False)False)((x24 x26False)False)((x45 x26False)False)((x3 x27False)False)((x6 x41False)False)((x13 x41False)False)((x53 x40False)False)(∀ x64 x65 . x3 x65x3 x64(x64 = x62False)x4 x64(x30 (x29 x64 x65) (x28 x64 x65)False)False)(∀ x64 x65 . x3 x65x3 x64(x64 = x62False)x4 x64(x3 (x29 x64 x65)False)False)(∀ x64 x65 x66 . x3 x66x3 x64(x64 = x62False)x4 x64x3 x65x0 x65 x64(x9 (x28 x64 x66) x65 = x11 x66 x65False)False)(∀ x64 x65 . x3 x65x3 x64(x64 = x62False)x4 x64(x7 (x28 x64 x65) = x64False)False)(∀ x64 x65 . x3 x65x3 x64(x64 = x62False)x4 x64(x12 (x28 x64 x65)False)False)(∀ x64 x65 . x3 x65x3 x64(x64 = x62False)x4 x64(x6 (x28 x64 x65)False)False)(∀ x64 x65 . x3 x65x3 x64(x64 = x62False)x4 x64(x5 (x28 x64 x65)False)False)(∀ x64 x65 . x3 x65x3 x64(x64 = x62False)x4 x64(x13 (x28 x64 x65)False)False)(∀ x64 . (x50 x64False)x50 (x1 x64)False)(x50 x60False)((x3 x60False)False)(x63 x60False)((x31 x60False)False)(∀ x64 . x13 x64x6 x64x5 x64(x3 (x7 x64)False)False)((x53 x60False)False)(∀ x64 x65 . x5 x65x13 x65x6 x65x12 x65x3 x64(x3 (x9 x65 x64)False)False)((x63 x62False)False)(∀ x64 . (x39 x64False)x13 x64x6 x64x39 (x7 x64)False)(∀ x64 x65 . x53 x65x13 x64x6 x64x55 x64 x65(x55 (x7 x64) x65False)False)(∀ x64 x65 . (x63 x65False)(x63 x64False)x2 x64 (x1 x65)(x17 (x38 x64 x65) x65 x64False)False)(∀ x64 . (x2 (x32 x64) x64False)False)((x63 x37False)False)(∀ x64 x65 x66 . (x63 x66False)(x63 x64False)x2 x64 (x1 x66)x17 x65 x66 x64(x2 x65 x66False)False)(∀ x64 . x5 x64x13 x64x6 x64x12 x64(x3 (x10 x64)False)False)((x2 x59 (x1 x15)False)False)(∀ x64 x65 . x3 x65x3 x64(x3 (x11 x65 x64)False)False)((x62 = x37False)False)(∀ x64 x65 x66 . x5 x66x13 x66x6 x66x12 x66x3 x65x30 x65 x66x3 x64x30 x64 x66(x64 = x10 x66False)False)(∀ x64 x65 x66 . x5 x66x13 x66x6 x66x12 x66x3 x65x30 x65 x66x3 x64x64 = x10 x66(x30 x64 x66False)False)(∀ x64 . x63 x64(x36 x64False)False)(∀ x64 x65 . x57 x65x2 x64 (x1 x65)(x57 x64False)False)(∀ x64 . x55 x64 x16(x39 x64False)False)(∀ x64 . x55 x64 x16x63 x64False)(∀ x64 . x2 x64 x60(x18 x64False)False)(∀ x64 x65 . x57 x65x2 x64 x65(x6 x64False)False)(∀ x64 x65 . x57 x65x2 x64 x65(x13 x64False)False)(∀ x64 . x63 x64(x55 x64 x62False)False)(∀ x64 . x63 x64(x18 x64False)False)(∀ x64 . x63 x64(x57 x64False)False)(∀ x64 . x55 x64 x62(x63 x64False)False)(∀ x64 . x18 x64(x3 x64False)False)(∀ x64 . x39 x64x13 x64x6 x64(x20 x64False)False)(∀ x64 . x39 x64x13 x64x6 x64(x6 x64False)False)(∀ x64 . x39 x64x13 x64x6 x64(x13 x64False)False)(∀ x64 . x3 x64x50 x64(x18 x64False)False)(∀ x64 x65 . x3 x65x2 x64 x65(x3 x64False)False)(∀ x64 . x13 x64x6 x64(x20 x64False)(x6 x64False)False)(∀ x64 . x13 x64x6 x64(x20 x64False)(x13 x64False)False)(∀ x64 . x13 x64x6 x64(x20 x64False)x39 x64False)(∀ x64 . x18 x64(x50 x64False)False)(∀ x64 . x63 x64(x5 x64False)False)(∀ x64 . x63 x64x13 x64x6 x64(x20 x64False)False)(∀ x64 . x63 x64x13 x64x6 x64(x6 x64False)False)(∀ x64 . x63 x64x13 x64x6 x64(x13 x64False)False)(∀ x64 . x2 x64 x60(x50 x64False)False)(∀ x64 . x63 x64(x3 x64False)False)(∀ x64 x65 . x13 x65x6 x65x2 x64 (x1 x65)(x6 x64False)False)(∀ x64 . x18 x64(x53 x64False)False)(∀ x64 x65 . x3 x65x2 x64 x65(x3 x64False)False)(∀ x64 . x45 x64x24 x64(x3 x64False)False)(∀ x64 . x63 x64x13 x64x6 x64(x44 x64False)False)(∀ x64 . x63 x64x13 x64x6 x64(x6 x64False)False)(∀ x64 . x63 x64x13 x64x6 x64(x13 x64False)False)(∀ x64 . x63 x64(x53 x64False)False)(∀ x64 . x3 x64(x24 x64False)False)(∀ x64 . x3 x64(x45 x64False)False)(∀ x64 . x63 x64(x6 x64False)False)(∀ x64 . x53 x64(x3 x64False)False)(∀ x64 x65 . x36 x65x2 x64 (x1 x65)(x36 x64False)False)(∀ x64 . (x63 x64False)x39 x64(x55 x64 x16False)False)(∀ x64 x65 . x0 x64 x65x0 x65 x64False)(x30 (x11 x33 x34) x35False)(∀ x64 . x3 x64x0 x64 x34(x9 x35 x64 = x11 x33 x64False)False)((x7 x35 = x34False)False)((x12 x35False)False)((x6 x35False)False)((x5 x35False)False)((x13 x35False)False)(x34 = x62False)((x4 x34False)False)((x3 x33False)False)((x3 x34False)False)False
type
prop
theory
HotG
name
-
proof
PUWC6..
Megalodon
-
proofgold address
TMEq4..
creator
35130 PrPhD../b6726..
owner
35137 PrPhD../9ab3b..
term root
e24d2..