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Proofgold Proposition

∀ x0 : ι → ι → ι . ∀ x1 : ι → ι . ∀ x2 : ι → ι → ο . ∀ x3 x4 x5 . ∀ x6 : ι → ο . ∀ x7 x8 x9 x10 : ι → ι . ∀ x11 : ι → ι → ο . ∀ x12 : ι → ι . ∀ x13 : ι → ο . ∀ x14 : ι → ι . ∀ x15 . ∀ x16 x17 : ι → ο . ∀ x18 . ∀ x19 : ι → ι → ο . ∀ x20 : ι → ι . ∀ x21 : ι → ι → ι . ∀ x22 x23 : ι → ο . ∀ x24 . ∀ x25 : ι → ι . ∀ x26 x27 . ∀ x28 : ι → ο . ∀ x29 x30 : ι → ι . ∀ x31 : ι → ι → ι → ι . ∀ x32 : ι → ι → ο . ∀ x33 x34 : ι → ο . ∀ x35 : ι → ι → ι → ι → ι . ∀ x36 : ι → ι → ι . ∀ x37 : ι → ι → ι → ι . ∀ x38 x39 . ∀ x40 : ι → ι → ι . ∀ x41 : ι → ι → ο . ∀ x42 : ι → ι → ι → ι . ∀ x43 : ι → ι . ∀ x44 x45 x46 x47 . ∀ x48 x49 x50 : ι → ι . ∀ x51 : ι → ο . ∀ x52 x53 . ∀ x54 : ι → ο . ∀ x55 : ι → ι . ∀ x56 . ∀ x57 : ι → ο . ∀ x58 : ι → ι . ∀ x59 : ι → ο . ∀ x60 : ι → ι → ο . ∀ x61 : ι → ι . ∀ x62 x63 : ι → ο . ∀ x64 . ∀ x65 : ι → ι → ι → ο . ∀ x66 . ∀ x67 : ι → ι → ο . ∀ x68 : ι → ι . ∀ x69 : ι → ι → ο . ∀ x70 : ι → ο . (∀ x71 x72 . x70 x72(x72 = x71False)x70 x71False)(∀ x71 x72 . (x2 (x1 x71) (x0 x71 x72)False)False)(∀ x71 x72 . x69 x71 x72x70 x72False)(∀ x71 . x70 x71(x71 = x3False)False)(∀ x71 x72 x73 . x69 x71 x72x67 x72 (x68 x73)x70 x73False)(∀ x71 x72 x73 . x69 x72 x73x67 x73 (x68 x71)(x67 x72 x71False)False)(∀ x71 x72 . x2 x72 x71(x67 x72 (x68 x71)False)False)(∀ x71 x72 . x67 x72 (x68 x71)(x2 x72 x71False)False)(∀ x71 x72 . x67 x71 x72(x70 x72False)(x69 x71 x72False)False)(∀ x71 x72 . x69 x72 x71(x67 x72 x71False)False)(x70 x66False)(∀ x71 . (x2 x71 x71False)False)(∀ x71 x72 x73 . (x70 x73False)(x70 x71False)x67 x71 (x68 x73)x67 x72 x71(x65 x72 x73 x71False)False)(∀ x71 x72 x73 . (x70 x73False)(x70 x71False)x67 x71 (x68 x73)x65 x72 x73 x71(x67 x72 x71False)False)((x64 = x3False)False)((x4 = x5False)False)(∀ x71 . (x63 x71False)x59 x71x62 x71(x60 (x61 x71) x71False)False)(∀ x71 . (x63 x71False)x59 x71x62 x71x70 (x61 x71)False)(∀ x71 . (x63 x71False)x59 x71x62 x71(x67 (x61 x71) (x68 (x58 x71))False)False)(∀ x71 . (x6 x71False)x6 (x7 x71)False)(∀ x71 . (x6 x71False)(x67 (x7 x71) (x68 x71)False)False)(∀ x71 . x59 x71x62 x71(x60 (x8 x71) x71False)False)(∀ x71 . x59 x71x62 x71(x67 (x8 x71) (x68 (x58 x71))False)False)(∀ x71 . (x70 x71False)(x6 (x9 x71)False)False)(∀ x71 . (x70 x71False)x70 (x9 x71)False)(∀ x71 . (x70 x71False)(x67 (x9 x71) (x68 x71)False)False)((x57 x56False)False)(∀ x71 . (x70 x71False)(x11 (x10 x71) x71False)False)(∀ x71 . (x70 x71False)(x67 (x10 x71) (x68 x71)False)False)(∀ x71 . (x63 x71False)x13 x71x70 (x12 x71)False)(∀ x71 . (x63 x71False)x13 x71(x67 (x12 x71) (x68 (x58 x71))False)False)(∀ x71 . x11 (x14 x71) x71False)(∀ x71 . (x67 (x14 x71) (x68 x71)False)False)(x70 x15False)(∀ x71 . (x70 (x55 x71)False)False)(∀ x71 . (x67 (x55 x71) (x68 x71)False)False)((x54 x53False)False)((x16 x53False)False)((x59 x52False)False)((x17 x52False)False)(x63 x52False)((x62 x52False)False)(∀ x71 . (x51 x71False)x13 x71x6 (x50 x71)False)(∀ x71 . (x51 x71False)x13 x71(x67 (x50 x71) (x68 (x58 x71))False)False)(∀ x71 . (x63 x71False)x13 x71(x6 (x49 x71)False)False)(∀ x71 . (x63 x71False)x13 x71x70 (x49 x71)False)(∀ x71 . (x63 x71False)x13 x71(x67 (x49 x71) (x68 (x58 x71))False)False)((x70 x18False)False)(∀ x71 . (x70 x71False)x70 (x48 x71)False)(∀ x71 . (x70 x71False)(x67 (x48 x71) (x68 x71)False)False)((x16 x47False)False)(x70 x47False)((x17 x46False)False)((x62 x46False)False)((x59 x45False)False)((x17 x45False)False)((x63 x45False)False)((x62 x45False)False)((x17 x44False)False)((x63 x44False)False)((x62 x44False)False)(∀ x71 . x59 x71x62 x71(x19 (x20 x71) x71False)False)(∀ x71 . x59 x71x62 x71(x67 (x20 x71) (x68 (x58 x71))False)False)(∀ x71 x72 x73 x74 . x67 x73 (x68 (x68 x74))x21 x74 x73 = x21 x72 x71(x73 = x71False)False)(∀ x71 x72 x73 x74 . x67 x73 (x68 (x68 x74))x21 x74 x73 = x21 x71 x72(x74 = x71False)False)(∀ x71 . (x22 x71False)x13 x71x23 (x58 x71)False)(∀ x71 x72 . (x70 x72False)x67 x71 (x68 (x68 x72))(x17 (x21 x72 x71)False)False)(∀ x71 x72 . (x70 x72False)x67 x71 (x68 (x68 x72))x63 (x21 x72 x71)False)(∀ x71 . x22 x71x13 x71(x23 (x58 x71)False)False)(∀ x71 . x51 x71x13 x71(x6 (x58 x71)False)False)(∀ x71 . (x63 x71False)x62 x71(x17 (x21 (x58 x71) (x43 x71))False)False)(∀ x71 . (x63 x71False)x62 x71x63 (x21 (x58 x71) (x43 x71))False)(∀ x71 . (x51 x71False)x13 x71x6 (x58 x71)False)(∀ x71 . x59 x71x62 x71(x59 (x21 (x58 x71) (x43 x71))False)False)(∀ x71 . x59 x71x62 x71(x17 (x21 (x58 x71) (x43 x71))False)False)((x59 x24False)False)((x17 x24False)False)(x63 x24False)(∀ x71 x72 . x70 (x0 x71 x72)False)(∀ x71 . x70 (x1 x71)False)(∀ x71 x72 x73 . x70 (x42 x73 x72 x71)False)(∀ x71 . (x63 x71False)x13 x71x70 (x58 x71)False)(∀ x71 x72 . (x63 x72False)x59 x72x62 x72x67 x71 (x58 x72)(x41 (x1 x71) x72False)False)((x70 x3False)False)(∀ x71 . x70 (x68 x71)False)(∀ x71 . x63 x71x13 x71(x70 (x58 x71)False)False)(∀ x71 . x59 x71x62 x71x70 (x43 x71)False)((x57 x5False)False)(∀ x71 x72 . (x70 x72False)(x70 x71False)x67 x71 (x68 x72)(x65 (x40 x71 x72) x72 x71False)False)(∀ x71 . (x67 (x25 x71) x71False)False)((x13 x39False)False)((x62 x26False)False)(∀ x71 . x62 x71(x67 (x43 x71) (x68 (x68 (x58 x71)))False)False)((x70 x27False)False)(∀ x71 x72 x73 . (x70 x73False)(x70 x71False)x67 x71 (x68 x73)x65 x72 x73 x71(x67 x72 x73False)False)(∀ x71 . x62 x71(x13 x71False)False)((x62 x24False)False)((x17 x24False)False)((x65 x64 x38 x4False)False)((x67 x4 (x68 x38)False)False)(∀ x71 x72 . x67 x72 (x68 (x68 x71))(x62 (x21 x71 x72)False)False)(∀ x71 x72 . x67 x72 (x68 (x68 x71))(x17 (x21 x71 x72)False)False)(∀ x71 . x17 x71x62 x71x58 x71 = x0 x64 x66x43 x71 = x42 x3 (x1 x66) (x0 x64 x66)(x71 = x24False)False)(∀ x71 . x17 x71x62 x71x71 = x24(x43 x71 = x42 x3 (x1 x66) (x0 x64 x66)False)False)(∀ x71 . x17 x71x62 x71x71 = x24(x58 x71 = x0 x64 x66False)False)(∀ x71 x72 . x62 x72x67 x71 (x68 (x58 x72))x19 x71 x72x69 (x30 x72) x71(x69 (x29 x72) x71False)(x28 x72False)False)(∀ x71 x72 . x62 x72x67 x71 (x68 (x58 x72))x19 x71 x72x69 (x29 x72) x71(x69 (x30 x72) x71False)(x28 x72False)False)(∀ x71 . x62 x71x29 x71 = x30 x71(x28 x71False)False)(∀ x71 . x62 x71(x67 (x30 x71) (x58 x71)False)(x28 x71False)False)(∀ x71 . x62 x71(x67 (x29 x71) (x58 x71)False)(x28 x71False)False)(∀ x71 . x62 x71x63 x71(x28 x71False)False)(∀ x71 x72 x73 . x62 x73x28 x73(x63 x73False)x67 x71 (x58 x73)x67 x72 (x58 x73)(x71 = x72False)x69 x72 (x31 x72 x71 x73)x69 x71 (x31 x72 x71 x73)False)(∀ x71 x72 x73 . x62 x73x28 x73(x63 x73False)x67 x71 (x58 x73)x67 x72 (x58 x73)(x71 = x72False)x69 x72 (x31 x72 x71 x73)(x69 x72 (x31 x72 x71 x73)False)False)(∀ x71 x72 x73 . x62 x73x28 x73(x63 x73False)x67 x71 (x58 x73)x67 x72 (x58 x73)(x71 = x72False)(x69 x71 (x31 x72 x71 x73)False)x69 x71 (x31 x72 x71 x73)False)(∀ x71 x72 x73 . x62 x73x28 x73(x63 x73False)x67 x71 (x58 x73)x67 x72 (x58 x73)(x71 = x72False)(x69 x71 (x31 x72 x71 x73)False)(x69 x72 (x31 x72 x71 x73)False)False)(∀ x71 x72 x73 . x62 x73x28 x73(x63 x73False)x67 x71 (x58 x73)x67 x72 (x58 x73)(x71 = x72False)(x19 (x31 x72 x71 x73) x73False)False)(∀ x71 x72 x73 . x62 x73x28 x73(x63 x73False)x67 x71 (x58 x73)x67 x72 (x58 x73)(x71 = x72False)(x67 (x31 x72 x71 x73) (x68 (x58 x73))False)False)((x3 = x27False)False)(∀ x71 x72 x73 . (x37 x71 x72 x73 = x73False)(x37 x71 x72 x73 = x72False)(x69 (x37 x71 x72 x73) x71False)(x71 = x0 x73 x72False)False)(∀ x71 x72 x73 . x69 (x37 x71 x72 x73) x71x37 x71 x72 x73 = x72(x71 = x0 x73 x72False)False)(∀ x71 x72 x73 . x69 (x37 x71 x72 x73) x71x37 x71 x72 x73 = x73(x71 = x0 x73 x72False)False)(∀ x71 x72 x73 x74 . x73 = x0 x71 x72x74 = x72(x69 x74 x73False)False)(∀ x71 x72 x73 x74 . x73 = x0 x72 x71x74 = x72(x69 x74 x73False)False)(∀ x71 x72 x73 x74 . x74 = x0 x72 x73x69 x71 x74(x71 = x72False)(x71 = x73False)False)(∀ x71 x72 . x62 x72x67 x71 (x68 (x58 x72))x69 x71 (x43 x72)(x19 x71 x72False)False)(∀ x71 x72 . x62 x72x67 x71 (x68 (x58 x72))x19 x71 x72(x69 x71 (x43 x72)False)False)(∀ x71 x72 . (x36 x72 x71 = x71False)(x69 (x36 x72 x71) x72False)(x72 = x1 x71False)False)(∀ x71 x72 . x69 (x36 x72 x71) x72x36 x72 x71 = x71(x72 = x1 x71False)False)(∀ x71 x72 x73 . x72 = x1 x73x71 = x73(x69 x71 x72False)False)(∀ x71 x72 x73 . x72 = x1 x73x69 x71 x72(x71 = x73False)False)(∀ x71 x72 x73 x74 . (x35 x71 x74 x73 x72 = x72False)(x35 x71 x74 x73 x72 = x73False)(x35 x71 x74 x73 x72 = x74False)(x69 (x35 x71 x74 x73 x72) x71False)(x71 = x42 x72 x73 x74False)False)(∀ x71 x72 x73 x74 . x69 (x35 x71 x74 x73 x72) x71x35 x71 x74 x73 x72 = x74(x71 = x42 x72 x73 x74False)False)(∀ x71 x72 x73 x74 . x69 (x35 x71 x74 x73 x72) x71x35 x71 x74 x73 x72 = x73(x71 = x42 x72 x73 x74False)False)(∀ x71 x72 x73 x74 . x69 (x35 x71 x74 x73 x72) x71x35 x71 x74 x73 x72 = x72(x71 = x42 x72 x73 x74False)False)(∀ x71 x72 x73 x74 x75 . x74 = x42 x71 x72 x73x75 = x73(x69 x75 x74False)False)(∀ x71 x72 x73 x74 x75 . x74 = x42 x71 x73 x72x75 = x73(x69 x75 x74False)False)(∀ x71 x72 x73 x74 x75 . x74 = x42 x73 x71 x72x75 = x73(x69 x75 x74False)False)(∀ x71 x72 x73 x74 x75 . x75 = x42 x74 x73 x72x69 x71 x75(x71 = x74False)(x71 = x73False)(x71 = x72False)False)(∀ x71 x72 . (x0 x72 x71 = x0 x71 x72False)False)(∀ x71 . x13 x71x32 x71 x3(x63 x71False)False)(∀ x71 . x62 x71x63 x71(x28 x71False)False)(∀ x71 . x13 x71x63 x71(x32 x71 x3False)False)(∀ x71 . x13 x71(x22 x71False)x51 x71False)(∀ x71 x72 . x33 x72x67 x71 (x68 x72)(x33 x71False)False)(∀ x71 . x13 x71x51 x71(x22 x71False)False)(∀ x71 . x23 x71(x33 x71False)False)(∀ x71 x72 . x6 x72x67 x71 (x68 x72)(x6 x71False)False)(∀ x71 . x13 x71(x22 x71False)x22 x71False)(∀ x71 . x13 x71(x22 x71False)x63 x71False)(∀ x71 . (x23 x71False)x33 x71(x57 x71False)False)(∀ x71 x72 . x70 x72x67 x71 (x68 x72)x11 x71 x72False)(∀ x71 . x13 x71x63 x71(x22 x71False)False)(∀ x71 . x13 x71x63 x71(x63 x71False)False)(∀ x71 . x70 x71x16 x71(x54 x71False)False)(∀ x71 . x70 x71x16 x71(x16 x71False)False)(∀ x71 . x57 x71(x33 x71False)False)(∀ x71 . x57 x71x23 x71False)(∀ x71 x72 . (x70 x72False)x67 x71 (x68 x72)x70 x71(x11 x71 x72False)False)(∀ x71 . x70 x71x16 x71(x34 x71False)False)(∀ x71 . x70 x71x16 x71(x16 x71False)False)(∀ x71 x72 . (x70 x72False)x67 x71 (x68 x72)(x11 x71 x72False)x70 x71False)(∀ x71 . x13 x71(x51 x71False)x63 x71False)(∀ x71 x72 . x16 x72x67 x71 (x68 x72)(x16 x71False)False)(∀ x71 x72 . x59 x72x62 x72x67 x71 (x68 (x58 x72))x70 x71(x60 x71 x72False)False)(∀ x71 x72 . x22 x72x13 x72x67 x71 (x68 (x58 x72))(x23 x71False)False)(∀ x71 x72 . x70 x72x67 x71 (x68 x72)(x70 x71False)False)(∀ x71 . x13 x71x63 x71(x51 x71False)False)(∀ x71 . x70 x71(x16 x71False)False)(∀ x71 . x13 x71(x51 x71False)x63 x71False)(∀ x71 . x13 x71x32 x71 x66(x51 x71False)False)(∀ x71 . x13 x71x32 x71 x66x63 x71False)(∀ x71 . x13 x71(x63 x71False)x51 x71(x32 x71 x66False)False)(∀ x71 x72 . x69 x71 x72x69 x72 x71False)(∀ x71 . x62 x71x17 x71(x71 = x21 (x58 x71) (x43 x71)False)False)(x28 x24False)False
type
prop
theory
HotG
name
-
proof
PUcCq..
Megalodon
-
proofgold address
TMYBG..
creator
35118 PrPhD../e4736..
owner
35120 PrPhD../4b16a..
term root
4745d..