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Proofgold Proposition

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 x3 : ι → ι → ο . ∀ x4 x5 . ∀ x6 : ι → ο . ∀ x7 . ∀ x8 : ι → ο . ∀ x9 . ∀ x10 x11 : ι → ο . ∀ x12 . ∀ x13 : ι → ο . ∀ x14 : ι → ι . ∀ x15 : ι → ο . ∀ x16 . ∀ x17 x18 : ι → ο . ∀ x19 . ∀ x20 : ι → ο . ∀ x21 x22 x23 x24 . ∀ x25 x26 : ι → ι → ι . ∀ x27 x28 x29 x30 x31 : ι → ο . ∀ x32 . ∀ x33 x34 x35 : ι → ο . ∀ x36 : ι → ι → ι → ι . ∀ x37 : ι → ο . ∀ x38 : ι → ι → ι . ∀ x39 x40 : ι → ι . ∀ x41 . ∀ x42 : ι → ι . ∀ x43 : ι → ο . ∀ x44 . ∀ x45 : ι → ι . ∀ x46 : ι → ι → ο . ∀ x47 : ι → ο . ∀ x48 . ∀ x49 : ι → ι → ο . ∀ x50 : ι → ι . ∀ x51 : ι → ο . ∀ x52 x53 : ι → ι . ∀ x54 : ι → ο . ∀ x55 . ∀ x56 : ι → ο . ∀ x57 . ∀ x58 : ι → ο . ∀ x59 . ∀ x60 : ι → ο . (∀ x61 x62 . x60 x62(x62 = x61False)x60 x61False)(∀ x61 x62 . x0 x61 x62x60 x62False)(∀ x61 . x60 x61(x61 = x59False)False)(∀ x61 x62 x63 . x0 x61 x62x2 x62 (x1 x63)x60 x63False)(∀ x61 x62 x63 . x0 x62 x63x2 x63 (x1 x61)(x2 x62 x61False)False)(∀ x61 x62 . x3 x62 x61(x2 x62 (x1 x61)False)False)(∀ x61 x62 . x2 x62 (x1 x61)(x3 x62 x61False)False)(∀ x61 x62 . x2 x61 x62(x60 x62False)(x0 x61 x62False)False)(∀ x61 x62 . x0 x62 x61(x2 x62 x61False)False)((x2 x59 x4False)False)(∀ x61 . (x3 x61 x61False)False)((x5 = x4False)False)((x58 x57False)False)(x60 x57False)((x56 x55False)False)(x60 x55False)(∀ x61 . (x54 x61False)x54 (x53 x61)False)(∀ x61 . (x54 x61False)(x2 (x53 x61) (x1 x61)False)False)(∀ x61 . (x60 x61False)(x54 (x52 x61)False)False)(∀ x61 . (x60 x61False)x60 (x52 x61)False)(∀ x61 . (x60 x61False)(x2 (x52 x61) (x1 x61)False)False)((x6 x7False)False)(x60 x7False)(x8 x9False)((x51 x9False)False)((x10 x9False)False)(∀ x61 . (x60 x61False)(x49 (x50 x61) x61False)False)(∀ x61 . (x60 x61False)(x2 (x50 x61) (x1 x61)False)False)((x6 x48False)False)((x11 x12False)False)((x47 x12False)False)((x13 x12False)False)(x60 x12False)((x51 x12False)False)((x46 x12 x5False)False)((x10 x12False)False)(∀ x61 . x49 (x45 x61) x61False)(∀ x61 . (x2 (x45 x61) (x1 x61)False)False)((x11 x44False)False)((x51 x44False)False)((x10 x44False)False)(∀ x61 . (x60 (x14 x61)False)False)(∀ x61 . (x2 (x14 x61) (x1 x61)False)False)((x15 x16False)False)((x43 x16False)False)((x17 x16False)False)(x60 x16False)((x18 x19False)False)((x51 x19False)False)((x10 x19False)False)(∀ x61 . (x60 x61False)x60 (x42 x61)False)(∀ x61 . (x60 x61False)(x2 (x42 x61) (x1 x61)False)False)((x15 x41False)False)((x20 x21False)False)(x60 x21False)((x51 x22False)False)((x10 x22False)False)((x15 x4False)False)(x60 x4False)((x56 x23False)False)(∀ x61 . x60 (x1 x61)False)((x20 x23False)False)(∀ x61 . (x2 (x40 x61) x61False)False)((x2 x5 (x1 x24)False)False)(∀ x61 . x2 x61 (x1 x23)(x2 (x39 x61) (x1 x23)False)False)(∀ x61 x62 . x0 (x25 x61 x62) x61(x3 x62 x61False)False)(∀ x61 x62 . (x0 (x25 x61 x62) x62False)(x3 x62 x61False)False)(∀ x61 x62 x63 . x3 x62 x63x0 x61 x62(x0 x61 x63False)False)(∀ x61 x62 x63 . x2 x63 (x1 x23)x2 x61 (x1 x23)x2 x62 (x1 x23)x37 x62x3 x63 x62(x0 (x38 x61 x63) x62False)(x0 (x38 x61 x63) x61False)(x61 = x39 x63False)False)(∀ x61 x62 . x2 x62 (x1 x23)x2 x61 (x1 x23)x0 (x38 x61 x62) x61x0 (x38 x61 x62) (x26 x61 x62)(x61 = x39 x62False)False)(∀ x61 x62 . x2 x62 (x1 x23)x2 x61 (x1 x23)x0 (x38 x61 x62) x61(x3 x62 (x26 x61 x62)False)(x61 = x39 x62False)False)(∀ x61 x62 . x2 x62 (x1 x23)x2 x61 (x1 x23)x0 (x38 x61 x62) x61(x37 (x26 x61 x62)False)(x61 = x39 x62False)False)(∀ x61 x62 . x2 x62 (x1 x23)x2 x61 (x1 x23)x0 (x38 x61 x62) x61(x2 (x26 x61 x62) (x1 x23)False)(x61 = x39 x62False)False)(∀ x61 x62 . x2 x62 (x1 x23)x2 x61 (x1 x23)(x2 (x38 x61 x62) x23False)(x61 = x39 x62False)False)(∀ x61 x62 x63 . x2 x63 (x1 x23)x2 x61 (x1 x23)x61 = x39 x63x2 x62 x23x0 x62 (x36 x62 x61 x63)(x0 x62 x61False)False)(∀ x61 x62 x63 . x2 x63 (x1 x23)x2 x61 (x1 x23)x61 = x39 x63x2 x62 x23(x3 x63 (x36 x62 x61 x63)False)(x0 x62 x61False)False)(∀ x61 x62 x63 . x2 x63 (x1 x23)x2 x61 (x1 x23)x61 = x39 x63x2 x62 x23(x37 (x36 x62 x61 x63)False)(x0 x62 x61False)False)(∀ x61 x62 x63 . x2 x63 (x1 x23)x2 x61 (x1 x23)x61 = x39 x63x2 x62 x23(x2 (x36 x62 x61 x63) (x1 x23)False)(x0 x62 x61False)False)(∀ x61 x62 x63 x64 . x2 x64 (x1 x23)x2 x61 (x1 x23)x61 = x39 x64x2 x62 x23x0 x62 x61x2 x63 (x1 x23)x37 x63x3 x64 x63(x0 x62 x63False)False)(∀ x61 . x60 x61(x27 x61False)False)(∀ x61 x62 . x56 x62x2 x61 (x1 x62)(x56 x61False)False)(∀ x61 . x58 x61(x56 x61False)False)(∀ x61 . x2 x61 x4(x6 x61False)False)(∀ x61 x62 . x56 x62x2 x61 x62(x51 x61False)False)(∀ x61 x62 . x56 x62x2 x61 x62(x10 x61False)False)(∀ x61 . x60 x61(x58 x61False)False)(∀ x61 . x60 x61(x6 x61False)False)(∀ x61 . x60 x61(x56 x61False)False)(∀ x61 . x10 x61x51 x61x11 x61(x11 x61False)False)(∀ x61 . x10 x61x51 x61x11 x61(x51 x61False)False)(∀ x61 . x10 x61x51 x61x11 x61(x46 x61 x5False)False)(∀ x61 . x10 x61x51 x61x11 x61(x10 x61False)False)(∀ x61 . x6 x61(x15 x61False)False)(∀ x61 . x54 x61x10 x61x51 x61(x8 x61False)False)(∀ x61 . x54 x61x10 x61x51 x61(x51 x61False)False)(∀ x61 . x54 x61x10 x61x51 x61(x10 x61False)False)(∀ x61 . x10 x61x51 x61x47 x61(x11 x61False)False)(∀ x61 . x10 x61x51 x61x47 x61(x51 x61False)False)(∀ x61 . x10 x61x51 x61x47 x61(x10 x61False)False)(∀ x61 x62 . x54 x62x2 x61 (x1 x62)(x54 x61False)False)(∀ x61 x62 . x15 x62x2 x61 x62(x15 x61False)False)(∀ x61 . x10 x61x51 x61(x8 x61False)(x51 x61False)False)(∀ x61 . x10 x61x51 x61(x8 x61False)(x10 x61False)False)(∀ x61 . x10 x61x51 x61(x8 x61False)x54 x61False)(∀ x61 . x10 x61x51 x61x47 x61(x47 x61False)False)(∀ x61 . x10 x61x51 x61x47 x61(x51 x61False)False)(∀ x61 . x10 x61x51 x61x47 x61(x46 x61 x5False)False)(∀ x61 . x10 x61x51 x61x47 x61(x10 x61False)False)(∀ x61 x62 . x60 x62x2 x61 (x1 x62)x49 x61 x62False)(∀ x61 . x60 x61(x28 x61False)False)(∀ x61 . x60 x61x10 x61x51 x61(x8 x61False)False)(∀ x61 . x60 x61x10 x61x51 x61(x51 x61False)False)(∀ x61 . x60 x61x10 x61x51 x61(x10 x61False)False)(∀ x61 . x10 x61x60 x61(x47 x61False)False)(∀ x61 . x10 x61x60 x61(x10 x61False)False)(∀ x61 x62 . (x60 x62False)x2 x61 (x1 x62)x60 x61(x49 x61 x62False)False)(∀ x61 . x60 x61(x15 x61False)False)(∀ x61 . x2 x61 x23(x47 x61False)False)(∀ x61 x62 . x10 x62x51 x62x2 x61 (x1 x62)(x51 x61False)False)(∀ x61 x62 . (x60 x62False)x2 x61 (x1 x62)(x49 x61 x62False)x60 x61False)(∀ x61 . x17 x61x43 x61(x15 x61False)False)(∀ x61 . x60 x61x10 x61x51 x61(x18 x61False)False)(∀ x61 . x60 x61x10 x61x51 x61(x51 x61False)False)(∀ x61 . x60 x61x10 x61x51 x61(x10 x61False)False)(∀ x61 . x10 x61x51 x61x47 x61(x13 x61False)False)(∀ x61 . x10 x61x51 x61x47 x61(x51 x61False)False)(∀ x61 . x10 x61x51 x61x47 x61(x10 x61False)False)(∀ x61 x62 . x60 x62x2 x61 (x1 x62)(x60 x61False)False)(∀ x61 . x15 x61(x43 x61False)False)(∀ x61 . x15 x61(x17 x61False)False)(∀ x61 . x20 x61(x35 x61False)False)(∀ x61 . x20 x61(x29 x61False)False)(∀ x61 . x20 x61(x34 x61False)False)(∀ x61 . x20 x61(x30 x61False)False)(∀ x61 . x20 x61(x33 x61False)False)(∀ x61 . x20 x61(x31 x61False)False)(∀ x61 . x20 x61x60 x61False)(∀ x61 . x60 x61(x51 x61False)False)(∀ x61 . x10 x61x60 x61(x47 x61False)False)(∀ x61 . x10 x61x60 x61(x10 x61False)False)(∀ x61 x62 . x58 x62x2 x61 (x1 x62)(x58 x61False)False)(∀ x61 x62 . x27 x62x2 x61 (x1 x62)(x27 x61False)False)(∀ x61 x62 . x58 x62x2 x61 x62(x47 x61False)False)(∀ x61 x62 . x0 x61 x62x0 x62 x61False)(x3 x32 (x39 x32)False)((x2 x32 (x1 x23)False)False)False
type
prop
theory
HotG
name
-
proof
PUU34..
Megalodon
-
proofgold address
TMNtp..
creator
35148 PrPhD../76012..
owner
35160 PrPhD../77311..
term root
40038..