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Proofgold Proposition

∀ x0 : ι → ι → ι . ∀ x1 x2 . ∀ x3 : ι → ι → ο . ∀ x4 : ι → ι . ∀ x5 : ι → ι → ο . ∀ x6 x7 : ι → ι → ι . ∀ x8 x9 . ∀ x10 : ι → ι → ι → ο . ∀ x11 . ∀ x12 : ι → ο . ∀ x13 : ι → ι . ∀ x14 : ι → ο . ∀ x15 x16 . ∀ x17 : ι → ο . ∀ x18 x19 . ∀ x20 : ι → ο . ∀ x21 x22 x23 x24 . ∀ x25 : ι → ι → ο . ∀ x26 : ι → ι → ι . ∀ x27 : ι → ο . ∀ x28 : ι → ι → ι . ∀ x29 : ι → ι . ∀ x30 : ι → ι → ι . ∀ x31 x32 x33 : ι → ο . ∀ x34 . ∀ x35 x36 x37 : ι → ο . ∀ x38 : ι → ι → ι → ο . ∀ x39 : ι → ι → ι . ∀ x40 : ι → ο . ∀ x41 : ι → ι → ι . ∀ x42 x43 : ι → ο . ∀ x44 . ∀ x45 : ι → ο . ∀ x46 . ∀ x47 : ι → ι → ο . ∀ x48 x49 x50 x51 x52 x53 . ∀ x54 : ι → ο . ∀ x55 : ι → ι . ∀ x56 . ∀ x57 : ι → ο . ∀ x58 . ∀ x59 : ι → ι . ∀ x60 . ∀ x61 : ι → ι → ο . ∀ x62 x63 . ∀ x64 : ι → ο . ∀ x65 : ι → ι → ι . ∀ x66 : ι → ι . ∀ x67 x68 : ι → ι → ι . ∀ x69 : ι → ι . ∀ x70 : ι → ο . (∀ x71 x72 . x70 x72x70 x71(x66 (x65 x72 x71) = x67 (x68 (x69 x72) (x66 x71)) (x68 (x69 x71) (x66 x72))False)False)(∀ x71 x72 . x70 x72x70 x71(x69 (x65 x72 x71) = x0 (x68 (x69 x72) (x69 x71)) (x68 (x66 x72) (x66 x71))False)False)(∀ x71 x72 . x64 x72(x72 = x71False)x64 x71False)((x66 x1 = x2False)False)((x69 x1 = x63False)False)(∀ x71 x72 . x3 x71 x72x64 x72False)(∀ x71 . x64 x71(x71 = x62False)False)(∀ x71 x72 x73 . x3 x71 x72x5 x72 (x4 x73)x64 x73False)(∀ x71 x72 x73 . x3 x72 x73x5 x73 (x4 x71)(x5 x72 x71False)False)(∀ x71 . x70 x71(x6 x71 x63 = x71False)False)(∀ x71 x72 . x61 x72 x71(x5 x72 (x4 x71)False)False)(∀ x71 x72 . x5 x72 (x4 x71)(x61 x72 x71False)False)(∀ x71 . x70 x71(x65 x2 x71 = x71False)False)(∀ x71 x72 . x5 x71 x72(x64 x72False)(x3 x71 x72False)False)(∀ x71 . x70 x71(x65 x71 x63 = x63False)False)(∀ x71 x72 . x3 x72 x71(x5 x72 x71False)False)((x5 x62 x60False)False)(∀ x71 . x70 x71(x7 x71 x63 = x71False)False)(∀ x71 x72 . x70 x72x70 x71(x6 (x59 x72) (x59 x71) = x6 x71 x72False)False)(∀ x71 x72 . x70 x72x70 x71(x7 (x59 x72) (x59 x71) = x59 (x7 x72 x71)False)False)(∀ x71 x72 x73 . x70 x73x70 x71x70 x72(x65 (x65 x73 x71) x72 = x65 x73 (x65 x71 x72)False)False)(∀ x71 x72 x73 . x70 x73x70 x71x70 x72(x7 (x7 x73 x71) x72 = x7 x73 (x7 x71 x72)False)False)(∀ x71 x72 x73 . x70 x73x70 x71x70 x72(x65 (x7 x73 x71) x72 = x7 (x65 x73 x72) (x65 x71 x72)False)False)((x5 x9 x8False)False)((x5 x9 x58False)False)((x10 x9 x8 x58False)False)((x57 x9False)False)(x64 x9False)(∀ x71 . x70 x71(x65 x71 (x59 x2) = x59 x71False)False)((x5 x2 x8False)False)((x5 x2 x58False)False)((x10 x2 x8 x58False)False)((x57 x2False)False)(x64 x2False)(∀ x71 x72 . x70 x72x70 x71(x7 x72 (x59 x71) = x6 x72 x71False)False)((x5 x11 x8False)False)((x5 x11 x58False)False)((x10 x11 x8 x58False)False)((x64 x11False)False)((x59 (x59 x9) = x9False)False)((x59 (x59 x2) = x2False)False)((x59 x9 = x59 x9False)False)((x59 x2 = x59 x2False)False)((x59 x11 = x11False)False)((x59 (x7 (x65 (x59 x9) x56) (x59 x9)) = x7 (x65 x9 x56) x9False)False)((x59 (x7 (x65 (x59 x9) x56) (x59 x2)) = x7 (x65 x9 x56) x2False)False)((x59 (x7 (x65 (x59 x9) x56) x9) = x7 (x65 x9 x56) (x59 x9)False)False)((x59 (x7 (x65 (x59 x9) x56) x2) = x7 (x65 x9 x56) (x59 x2)False)False)((x59 (x65 (x59 x9) x56) = x65 x9 x56False)False)((x59 (x7 (x65 (x59 x2) x56) (x59 x2)) = x7 x56 x2False)False)((x59 (x7 (x65 (x59 x2) x56) x2) = x7 x56 (x59 x2)False)False)((x59 (x65 (x59 x2) x56) = x56False)False)((x59 (x7 (x65 x9 x56) (x59 x9)) = x7 (x65 (x59 x9) x56) x9False)False)((x59 (x7 (x65 x9 x56) x9) = x7 (x65 (x59 x9) x56) (x59 x9)False)False)((x59 (x7 (x65 x9 x56) x2) = x7 (x65 (x59 x9) x56) (x59 x2)False)False)((x59 (x65 x9 x56) = x65 (x59 x9) x56False)False)((x59 (x7 x56 (x59 x2)) = x7 (x65 (x59 x2) x56) x2False)False)((x59 (x7 x56 x2) = x7 (x65 (x59 x2) x56) (x59 x2)False)False)((x59 x56 = x65 (x59 x2) x56False)False)((x65 (x59 x9) x2 = x59 x9False)False)((x65 (x59 x9) x11 = x11False)False)((x65 (x59 x9) (x65 (x59 x2) x56) = x65 x9 x56False)False)((x65 (x59 x9) x56 = x65 (x59 x9) x56False)False)((x65 x9 x2 = x9False)False)((x65 x9 x11 = x11False)False)((x65 x9 (x65 (x59 x2) x56) = x65 (x59 x9) x56False)False)((x65 x9 x56 = x65 x9 x56False)False)((x65 x2 (x59 x9) = x59 x9False)False)((x65 x2 x9 = x9False)False)((x65 x2 x2 = x2False)False)((x65 x2 x11 = x11False)False)((x65 x2 (x7 (x65 (x59 x2) x56) x2) = x7 (x65 (x59 x2) x56) x2False)False)((x65 x2 (x65 (x59 x2) x56) = x65 (x59 x2) x56False)False)((x65 x2 (x65 x9 x56) = x65 x9 x56False)False)((x65 x2 x56 = x56False)False)((x65 x11 (x59 x9) = x11False)False)((x65 x11 x9 = x11False)False)((x65 x11 x2 = x11False)False)((x65 x11 x11 = x11False)False)((x65 x11 x56 = x11False)False)((x65 (x65 (x59 x9) x56) x2 = x65 (x59 x9) x56False)False)((x65 (x65 (x59 x9) x56) (x65 (x59 x2) x56) = x59 x9False)False)((x65 (x65 (x59 x9) x56) x56 = x9False)False)((x65 (x7 (x65 (x59 x2) x56) (x59 x2)) x2 = x7 (x65 (x59 x2) x56) (x59 x2)False)False)((x65 (x7 (x65 (x59 x2) x56) (x59 x2)) (x65 (x59 x2) x56) = x7 x56 (x59 x2)False)False)((x65 (x7 (x65 (x59 x2) x56) (x59 x2)) x56 = x7 (x65 (x59 x2) x56) x2False)False)((x65 (x7 (x65 (x59 x2) x56) x9) x2 = x7 (x65 (x59 x2) x56) x9False)False)((x65 (x7 (x65 (x59 x2) x56) x9) (x65 (x59 x2) x56) = x7 (x65 (x59 x9) x56) (x59 x2)False)False)((x65 (x7 (x65 (x59 x2) x56) x9) x56 = x7 (x65 x9 x56) x2False)False)((x65 (x7 (x65 (x59 x2) x56) x2) (x59 x9) = x7 (x65 x9 x56) (x59 x9)False)False)((x65 (x7 (x65 (x59 x2) x56) x2) x9 = x7 (x65 (x59 x9) x56) x9False)False)((x65 (x7 (x65 (x59 x2) x56) x2) x2 = x7 (x65 (x59 x2) x56) x2False)False)((x65 (x7 (x65 (x59 x2) x56) x2) (x65 (x59 x2) x56) = x7 (x65 (x59 x2) x56) (x59 x2)False)False)((x65 (x7 (x65 (x59 x2) x56) x2) x56 = x7 x56 x2False)False)((x65 (x65 (x59 x2) x56) (x59 x9) = x65 x9 x56False)False)((x65 (x65 (x59 x2) x56) x9 = x65 (x59 x9) x56False)False)((x65 (x65 (x59 x2) x56) x2 = x65 (x59 x2) x56False)False)((x65 (x65 (x59 x2) x56) (x65 (x59 x9) x56) = x59 x9False)False)((x65 (x65 (x59 x2) x56) (x65 (x59 x2) x56) = x59 x2False)False)((x65 (x65 (x59 x2) x56) (x65 x9 x56) = x9False)False)((x65 (x65 (x59 x2) x56) x56 = x2False)False)((x65 (x7 (x65 x9 x56) (x59 x9)) x2 = x7 (x65 x9 x56) (x59 x9)False)False)((x65 (x65 x9 x56) x2 = x65 x9 x56False)False)((x65 (x65 x9 x56) x56 = x59 x9False)False)((x65 (x7 x56 (x59 x2)) (x59 x9) = x7 (x65 (x59 x9) x56) x9False)False)((x65 (x7 x56 (x59 x2)) x9 = x7 (x65 x9 x56) (x59 x9)False)False)((x65 (x7 x56 (x59 x2)) x2 = x7 x56 (x59 x2)False)False)((x65 (x7 x56 (x59 x2)) (x65 (x59 x9) x56) = x7 (x65 x9 x56) x9False)False)((x65 (x7 x56 (x59 x2)) (x65 (x59 x2) x56) = x7 x56 x2False)False)((x65 (x7 x56 (x59 x2)) (x65 x9 x56) = x7 (x65 (x59 x9) x56) (x59 x9)False)False)((x65 (x7 x56 (x59 x2)) x56 = x7 (x65 (x59 x2) x56) (x59 x2)False)False)((x65 (x7 x56 x9) x2 = x7 x56 x9False)False)((x65 (x7 x56 x9) (x65 (x59 x2) x56) = x7 (x65 (x59 x9) x56) x2False)False)((x65 (x7 x56 x9) x56 = x7 (x65 x9 x56) (x59 x2)False)False)((x65 (x7 x56 x2) x2 = x7 x56 x2False)False)((x65 (x7 x56 x2) (x65 (x59 x2) x56) = x7 (x65 (x59 x2) x56) x2False)False)((x65 (x7 x56 x2) x56 = x7 x56 (x59 x2)False)False)((x65 x56 (x59 x9) = x65 (x59 x9) x56False)False)((x65 x56 x9 = x65 x9 x56False)False)((x65 x56 x2 = x56False)False)((x65 x56 x11 = x11False)False)((x65 x56 (x65 (x59 x9) x56) = x9False)False)((x65 x56 (x7 (x65 (x59 x2) x56) x2) = x7 x56 x2False)False)((x65 x56 (x65 (x59 x2) x56) = x2False)False)((x65 x56 (x65 x9 x56) = x59 x9False)False)((x65 x56 x56 = x59 x2False)False)((x6 (x59 x9) (x59 x9) = x11False)False)((x6 (x59 x9) (x59 x2) = x59 x2False)False)((x6 (x59 x9) x11 = x59 x9False)False)((x6 (x59 x9) (x65 (x59 x9) x56) = x7 (x65 x9 x56) (x59 x9)False)False)((x6 (x59 x9) (x65 (x59 x2) x56) = x7 x56 (x59 x9)False)False)((x6 (x59 x9) (x65 x9 x56) = x7 (x65 (x59 x9) x56) (x59 x9)False)False)((x6 (x59 x9) x56 = x7 (x65 (x59 x2) x56) (x59 x9)False)False)((x6 (x59 x2) (x59 x9) = x2False)False)((x6 (x59 x2) (x59 x2) = x11False)False)((x6 (x59 x2) x2 = x59 x9False)False)((x6 (x59 x2) x11 = x59 x2False)False)((x6 (x59 x2) (x65 (x59 x9) x56) = x7 (x65 x9 x56) (x59 x2)False)False)((x6 (x59 x2) (x7 (x65 (x59 x2) x56) (x59 x2)) = x56False)False)((x6 (x59 x2) (x65 (x59 x2) x56) = x7 x56 (x59 x2)False)False)((x6 (x59 x2) (x7 (x65 x9 x56) (x59 x2)) = x65 (x59 x9) x56False)False)((x6 (x59 x2) (x65 x9 x56) = x7 (x65 (x59 x9) x56) (x59 x2)False)False)((x6 (x59 x2) (x7 x56 (x59 x2)) = x65 (x59 x2) x56False)False)((x6 (x59 x2) x56 = x7 (x65 (x59 x2) x56) (x59 x2)False)False)((x6 x9 x9 = x11False)False)((x6 x9 x2 = x2False)False)((x6 x9 x11 = x9False)False)((x6 x9 (x65 (x59 x9) x56) = x7 (x65 x9 x56) x9False)False)((x6 x9 (x7 (x65 (x59 x2) x56) x2) = x7 x56 x2False)False)((x6 x9 (x65 (x59 x2) x56) = x7 x56 x9False)False)((x6 x9 (x65 x9 x56) = x7 (x65 (x59 x9) x56) x9False)False)((x6 x9 (x7 x56 x2) = x7 (x65 (x59 x2) x56) x2False)False)((x6 x9 x56 = x7 (x65 (x59 x2) x56) x9False)False)((x6 x2 (x59 x2) = x9False)False)((x6 x2 x9 = x59 x2False)False)((x6 x2 x2 = x11False)False)((x6 x2 x11 = x2False)False)((x6 x2 (x65 (x59 x9) x56) = x7 (x65 x9 x56) x2False)False)((x6 x2 (x7 (x65 (x59 x2) x56) x2) = x56False)False)((x6 x2 (x65 (x59 x2) x56) = x7 x56 x2False)False)((x6 x2 (x7 (x65 x9 x56) x2) = x65 (x59 x9) x56False)False)((x6 x2 (x65 x9 x56) = x7 (x65 (x59 x9) x56) x2False)False)((x6 x2 (x7 x56 x2) = x65 (x59 x2) x56False)False)((x6 x2 x56 = x7 (x65 (x59 x2) x56) x2False)False)((x6 x11 (x59 x9) = x9False)False)((x6 x11 (x59 x2) = x2False)False)((x6 x11 x9 = x59 x9False)False)((x6 x11 x2 = x59 x2False)False)((x6 x11 x11 = x11False)False)((x6 x11 (x65 (x59 x2) x56) = x56False)False)((x6 x11 x56 = x65 (x59 x2) x56False)False)((x6 (x7 (x65 (x59 x9) x56) (x59 x2)) (x59 x2) = x65 (x59 x9) x56False)False)((x6 (x7 (x65 (x59 x9) x56) x9) (x7 (x65 (x59 x9) x56) x9) = x11False)False)((x6 (x7 (x65 (x59 x9) x56) x2) (x59 x2) = x7 (x65 (x59 x9) x56) x9False)False)((x6 (x65 (x59 x9) x56) (x59 x9) = x7 (x65 (x59 x9) x56) x9False)False)((x6 (x65 (x59 x9) x56) (x59 x2) = x7 (x65 (x59 x9) x56) x2False)False)((x6 (x65 (x59 x9) x56) x9 = x7 (x65 (x59 x9) x56) (x59 x9)False)False)((x6 (x65 (x59 x9) x56) (x65 (x59 x9) x56) = x11False)False)((x6 (x65 (x59 x9) x56) (x65 (x59 x2) x56) = x65 (x59 x2) x56False)False)((x6 (x7 (x65 (x59 x2) x56) (x59 x2)) (x59 x2) = x65 (x59 x2) x56False)False)((x6 (x7 (x65 (x59 x2) x56) (x59 x2)) (x7 (x65 (x59 x2) x56) (x59 x2)) = x11False)False)((x6 (x7 (x65 (x59 x2) x56) (x59 x2)) (x65 (x59 x2) x56) = x59 x2False)False)((x6 (x7 (x65 (x59 x2) x56) (x59 x2)) x56 = x7 (x65 (x59 x9) x56) (x59 x2)False)False)((x6 (x7 (x65 (x59 x2) x56) x9) (x7 (x65 (x59 x2) x56) x9) = x11False)False)((x6 (x7 (x65 (x59 x2) x56) x2) (x59 x2) = x7 (x65 (x59 x2) x56) x9False)False)((x6 (x7 (x65 (x59 x2) x56) x2) x2 = x65 (x59 x2) x56False)False)((x6 (x7 (x65 (x59 x2) x56) x2) x11 = x7 (x65 (x59 x2) x56) x2False)False)((x6 (x7 (x65 (x59 x2) x56) x2) (x7 (x65 (x59 x2) x56) x2) = x11False)False)((x6 (x7 (x65 (x59 x2) x56) x2) (x65 (x59 x2) x56) = x2False)False)((x6 (x7 (x65 (x59 x2) x56) x2) (x7 x56 x2) = x65 (x59 x9) x56False)False)((x6 (x7 (x65 (x59 x2) x56) x2) x56 = x7 (x65 (x59 x9) x56) x2False)False)((x6 (x65 (x59 x2) x56) (x59 x2) = x7 (x65 (x59 x2) x56) x2False)False)((x6 (x65 (x59 x2) x56) x9 = x7 (x65 (x59 x2) x56) (x59 x9)False)False)((x6 (x65 (x59 x2) x56) x2 = x7 (x65 (x59 x2) x56) (x59 x2)False)False)((x6 (x65 (x59 x2) x56) (x65 (x59 x9) x56) = x56False)False)((x6 (x65 (x59 x2) x56) (x7 (x65 (x59 x2) x56) x2) = x59 x2False)False)((x6 (x65 (x59 x2) x56) (x65 (x59 x2) x56) = x11False)False)((x6 (x65 (x59 x2) x56) x56 = x65 (x59 x9) x56False)False)((x6 (x7 (x65 x9 x56) (x59 x9)) (x7 (x65 x9 x56) (x59 x9)) = x11False)False)((x6 (x7 (x65 x9 x56) (x59 x9)) (x65 x9 x56) = x59 x9False)False)((x6 (x65 x9 x56) x9 = x7 (x65 x9 x56) (x59 x9)False)False)((x6 (x65 x9 x56) x2 = x7 (x65 x9 x56) (x59 x2)False)False)((x6 (x65 x9 x56) (x7 (x65 x9 x56) (x59 x9)) = x9False)False)((x6 (x65 x9 x56) (x65 x9 x56) = x11False)False)((x6 (x65 x9 x56) x56 = x56False)False)((x6 (x7 x56 (x59 x2)) (x59 x2) = x56False)False)((x6 (x7 x56 (x59 x2)) (x65 (x59 x2) x56) = x7 (x65 x9 x56) (x59 x2)False)False)((x6 (x7 x56 (x59 x2)) (x7 x56 (x59 x2)) = x11False)False)((x6 (x7 x56 (x59 x2)) x56 = x59 x2False)False)((x6 (x7 x56 x9) (x7 x56 x9) = x11False)False)((x6 (x7 x56 x2) (x59 x2) = x7 x56 x9False)False)((x6 (x7 x56 x2) x2 = x56False)False)((x6 (x7 x56 x2) x11 = x7 x56 x2False)False)((x6 (x7 x56 x2) (x65 (x59 x2) x56) = x7 (x65 x9 x56) x2False)False)((x6 (x7 x56 x2) (x7 x56 x2) = x11False)False)((x6 (x7 x56 x2) x56 = x2False)False)((x6 x56 (x59 x2) = x7 x56 x2False)False)((x6 x56 x9 = x7 x56 (x59 x9)False)False)((x6 x56 x2 = x7 x56 (x59 x2)False)False)((x6 x56 x11 = x56False)False)((x6 x56 (x65 (x59 x2) x56) = x65 x9 x56False)False)((x6 x56 (x65 x9 x56) = x65 (x59 x2) x56False)False)((x6 x56 (x7 x56 (x59 x2)) = x2False)False)((x6 x56 (x7 x56 x2) = x59 x2False)False)((x6 x56 x56 = x11False)False)((x7 (x59 x9) x9 = x11False)False)((x7 (x59 x9) x2 = x59 x2False)False)((x7 (x59 x2) (x59 x2) = x59 x9False)False)((x7 (x59 x2) x9 = x2False)False)((x7 (x59 x2) x2 = x11False)False)((x7 (x59 x2) x11 = x59 x2False)False)((x7 x9 (x59 x9) = x11False)False)((x7 x9 (x59 x2) = x2False)False)((x7 x9 x11 = x9False)False)((x7 x2 (x59 x9) = x59 x2False)False)((x7 x2 (x59 x2) = x11False)False)((x7 x2 x2 = x9False)False)((x7 x2 x11 = x2False)False)((x7 x2 (x65 (x59 x2) x56) = x7 (x65 (x59 x2) x56) x2False)False)((x7 x2 x56 = x7 x56 x2False)False)((x7 x11 (x59 x9) = x59 x9False)False)((x7 x11 (x59 x2) = x59 x2False)False)((x7 x11 x9 = x9False)False)((x7 x11 x2 = x2False)False)((x7 x11 x11 = x11False)False)((x7 x11 (x65 (x59 x2) x56) = x65 (x59 x2) x56False)False)((x7 x11 x56 = x56False)False)((x7 (x65 (x59 x9) x56) (x65 x9 x56) = x11False)False)((x7 (x65 (x59 x9) x56) x56 = x65 (x59 x2) x56False)False)((x7 (x65 (x59 x2) x56) x2 = x7 (x65 (x59 x2) x56) x2False)False)((x7 (x65 (x59 x2) x56) (x65 (x59 x2) x56) = x65 (x59 x9) x56False)False)((x7 (x65 (x59 x2) x56) (x65 x9 x56) = x56False)False)((x7 (x65 (x59 x2) x56) x56 = x11False)False)((x7 (x65 x9 x56) (x65 (x59 x9) x56) = x11False)False)((x7 (x65 x9 x56) (x65 (x59 x2) x56) = x56False)False)((x7 x56 x2 = x7 x56 x2False)False)((x7 x56 x11 = x56False)False)((x7 x56 (x65 (x59 x9) x56) = x65 (x59 x2) x56False)False)((x7 x56 (x65 (x59 x2) x56) = x11False)False)((x7 x56 x56 = x65 x9 x56False)False)(∀ x71 . (x61 x71 x71False)False)(∀ x71 x72 x73 . (x64 x73False)(x64 x71False)x5 x71 (x4 x73)x5 x72 x71(x10 x72 x73 x71False)False)(∀ x71 x72 x73 . (x64 x73False)(x64 x71False)x5 x71 (x4 x73)x10 x72 x73 x71(x5 x72 x71False)False)(∀ x71 x72 . x5 x72 x8x12 x71(x0 x72 x71 = x6 x72 x71False)False)(∀ x71 x72 . x5 x72 x8x12 x71(x68 x72 x71 = x65 x72 x71False)False)(∀ x71 x72 . x5 x72 x8x12 x71(x67 x72 x71 = x7 x72 x71False)False)((x1 = x56False)False)((x63 = x62False)False)((x58 = x60False)False)(∀ x71 . x70 x71(x66 x71 = x13 x71False)False)(∀ x71 . x70 x71(x69 x71 = x55 x71False)False)((x14 x15False)False)((x64 x15False)False)((x12 x16False)False)((x14 x16False)False)((x70 x16False)False)((x64 x16False)False)((x17 x18False)False)((x14 x18False)False)((x12 x19False)False)((x17 x19False)False)((x14 x19False)False)((x70 x19False)False)((x20 x21False)False)((x54 x21False)False)(x64 x21False)((x57 x53False)False)((x14 x53False)False)((x12 x52False)False)((x57 x52False)False)((x14 x52False)False)((x70 x52False)False)((x70 x51False)False)(x64 x51False)(x64 x50False)((x54 x22False)False)(x64 x22False)((x14 x23False)False)((x12 x49False)False)((x70 x24False)False)((x64 x48False)False)(∀ x71 x72 . (x25 (x26 x71 x72) x71False)False)(∀ x71 x72 . (x47 (x26 x72 x71) x71False)False)(∀ x71 x72 . (x27 (x26 x71 x72)False)False)(∀ x71 x72 . (x64 (x26 x71 x72)False)False)(∀ x71 x72 . (x5 (x26 x71 x72) (x4 (x28 x72 x71))False)False)((x54 x46False)False)(x64 x46False)(∀ x71 . x70 x71(x59 (x59 x71) = x71False)False)(∀ x71 x72 . (x17 x72False)x12 x72(x17 x71False)x12 x71x17 (x7 x72 x71)False)(x45 x44False)(∀ x71 x72 . (x64 x72False)x70 x72(x64 x71False)x70 x71x64 (x65 x72 x71)False)(x45 x8False)(∀ x71 x72 . x12 x72x12 x71(x12 (x6 x72 x71)False)False)(∀ x71 x72 . x12 x72x12 x71(x12 (x65 x72 x71)False)False)(∀ x71 . (x64 x71False)x70 x71(x70 (x59 x71)False)False)(∀ x71 . (x64 x71False)x70 x71x64 (x59 x71)False)((x54 x60False)False)(∀ x71 x72 . x12 x72x12 x71(x12 (x7 x72 x71)False)False)((x20 x60False)False)((x20 x8False)False)((x20 x44False)False)(∀ x71 x72 . x70 x72x70 x71(x70 (x6 x72 x71)False)False)(∀ x71 . x12 x71(x12 (x59 x71)False)False)(∀ x71 . x12 x71(x70 (x59 x71)False)False)(∀ x71 x72 . x70 x72x70 x71(x70 (x65 x72 x71)False)False)((x43 x8False)False)(∀ x71 x72 . x70 x72x70 x71(x70 (x7 x72 x71)False)False)(x64 x44False)(∀ x71 . x70 x71(x12 (x13 x71)False)False)(∀ x71 x72 . (x17 x72False)x12 x72(x17 x71False)x12 x71x17 (x65 x72 x71)False)(∀ x71 x72 . (x57 x72False)x12 x72(x57 x71False)x12 x71x17 (x65 x72 x71)False)(∀ x71 x72 . (x57 x72False)x12 x72(x17 x71False)x12 x71x57 (x65 x71 x72)False)(∀ x71 x72 . (x57 x72False)x12 x72(x17 x71False)x12 x71x57 (x65 x72 x71)False)(∀ x71 x72 . x17 x72x12 x72(x17 x71False)x12 x71(x57 (x6 x71 x72)False)False)(∀ x71 x72 . x17 x72x12 x72(x17 x71False)x12 x71(x17 (x6 x72 x71)False)False)(∀ x71 x72 . x57 x72x12 x72(x57 x71False)x12 x71(x17 (x6 x71 x72)False)False)((x70 x56False)False)((x64 x62False)False)(x64 x8False)((x42 x44False)False)(∀ x71 . x70 x71(x12 (x55 x71)False)False)(∀ x71 x72 . x57 x72x12 x72(x57 x71False)x12 x71(x57 (x6 x72 x71)False)False)(∀ x71 x72 . (x17 x72False)x12 x72(x57 x71False)x12 x71x57 (x6 x71 x72)False)(∀ x71 x72 . (x17 x72False)x12 x72(x57 x71False)x12 x71x17 (x6 x72 x71)False)(∀ x71 . (x17 x71False)x12 x71x57 (x59 x71)False)(∀ x71 . (x17 x71False)x12 x71(x70 (x59 x71)False)False)(∀ x71 . (x57 x71False)x12 x71x17 (x59 x71)False)(∀ x71 . (x57 x71False)x12 x71(x70 (x59 x71)False)False)(∀ x71 x72 . x17 x72x12 x72(x57 x71False)x12 x71(x17 (x7 x71 x72)False)False)(∀ x71 x72 . x17 x72x12 x72(x57 x71False)x12 x71(x17 (x7 x72 x71)False)False)(∀ x71 x72 . x57 x72x12 x72(x17 x71False)x12 x71(x57 (x7 x71 x72)False)False)(∀ x71 x72 . x57 x72x12 x72(x17 x71False)x12 x71(x57 (x7 x72 x71)False)False)(∀ x71 x72 . (x57 x72False)x12 x72(x57 x71False)x12 x71x57 (x7 x72 x71)False)(∀ x71 x72 . (x64 x72False)(x64 x71False)x5 x71 (x4 x72)(x10 (x41 x71 x72) x72 x71False)False)(∀ x71 . (x5 (x29 x71) x71False)False)(∀ x71 x72 x73 . (x64 x73False)(x64 x71False)x5 x71 (x4 x73)x10 x72 x73 x71(x5 x72 x73False)False)(∀ x71 x72 . x5 x72 x8x12 x71(x5 (x0 x72 x71) x8False)False)(∀ x71 x72 . x5 x72 x8x12 x71(x5 (x68 x72 x71) x8False)False)(∀ x71 x72 . x5 x72 x8x12 x71(x5 (x67 x72 x71) x8False)False)((x5 x1 x44False)False)((x10 x63 x8 x58False)False)((x5 x58 (x4 x8)False)False)(∀ x71 . x70 x71(x70 (x59 x71)False)False)(∀ x71 . x70 x71(x5 (x66 x71) x8False)False)(∀ x71 . x70 x71(x5 (x69 x71) x8False)False)(∀ x71 x72 x73 . x70 x73(x3 x73 x8False)x40 x72x38 x72 x9 x8x5 x72 (x4 (x28 x9 x8))x73 = x72x71 = x39 x72 x2(x71 = x13 x73False)False)(∀ x71 x72 . x70 x72(x3 x72 x8False)x71 = x13 x72(x71 = x39 (x30 x71 x72) x2False)False)(∀ x71 x72 . x70 x72(x3 x72 x8False)x71 = x13 x72(x72 = x30 x71 x72False)False)(∀ x71 x72 . x70 x72(x3 x72 x8False)x71 = x13 x72(x5 (x30 x71 x72) (x4 (x28 x9 x8))False)False)(∀ x71 x72 . x70 x72(x3 x72 x8False)x71 = x13 x72(x38 (x30 x71 x72) x9 x8False)False)(∀ x71 x72 . x70 x72(x3 x72 x8False)x71 = x13 x72(x40 (x30 x71 x72)False)False)(∀ x71 x72 . x70 x72x3 x72 x8x71 = x63(x71 = x13 x72False)False)(∀ x71 x72 . x70 x72x3 x72 x8x71 = x13 x72(x71 = x63False)False)(∀ x71 . x3 x71 x8(x12 x71False)False)(∀ x71 . x12 x71(x3 x71 x8False)False)(∀ x71 x72 . x5 x72 x8x12 x71(x68 x72 x71 = x68 x71 x72False)False)(∀ x71 x72 . x5 x72 x8x12 x71(x67 x72 x71 = x67 x71 x72False)False)(∀ x71 x72 . x70 x72x70 x71(x65 x72 x71 = x65 x71 x72False)False)(∀ x71 x72 . x70 x72x70 x71(x7 x72 x71 = x7 x71 x72False)False)(∀ x71 . x14 x71(x57 x71False)(x17 x71False)(x14 x71False)False)(∀ x71 . x14 x71(x57 x71False)(x17 x71False)(x64 x71False)False)(∀ x71 . x5 x71 (x4 x8)(x43 x71False)False)(∀ x71 . x64 x71x14 x71x17 x71False)(∀ x71 . x64 x71x14 x71x57 x71False)(∀ x71 . x64 x71x14 x71(x14 x71False)False)(∀ x71 . (x64 x71False)x14 x71(x57 x71False)(x17 x71False)False)(∀ x71 . (x64 x71False)x14 x71(x57 x71False)(x14 x71False)False)(∀ x71 . x5 x71 (x4 x44)(x42 x71False)False)(∀ x71 . x14 x71x17 x71x57 x71False)(∀ x71 . x14 x71x17 x71(x14 x71False)False)(∀ x71 . x14 x71x17 x71x64 x71False)(∀ x71 . x43 x71(x42 x71False)False)(∀ x71 . (x64 x71False)x14 x71(x17 x71False)(x57 x71False)False)(∀ x71 . (x64 x71False)x14 x71(x17 x71False)(x14 x71False)False)(∀ x71 . x12 x71(x14 x71False)False)(∀ x71 x72 x73 . x64 x73x5 x71 (x4 (x28 x72 x73))(x64 x71False)False)(∀ x71 . x43 x71(x31 x71False)False)(∀ x71 . x14 x71x57 x71x17 x71False)(∀ x71 . x14 x71x57 x71(x14 x71False)False)(∀ x71 . x14 x71x57 x71x64 x71False)(∀ x71 . x12 x71(x70 x71False)False)(∀ x71 . x5 x71 x44(x70 x71False)False)(∀ x71 x72 x73 . x64 x73x5 x71 (x4 (x28 x73 x72))(x64 x71False)False)(∀ x71 . x37 x71(x43 x71False)False)(∀ x71 . x32 x71(x14 x71False)False)(∀ x71 . x32 x71(x12 x71False)False)(∀ x71 . x32 x71(x70 x71False)False)(∀ x71 x72 x73 . x5 x73 (x4 (x28 x71 x72))(x25 x73 x72False)False)(∀ x71 x72 x73 . x5 x73 (x4 (x28 x72 x71))(x47 x73 x72False)False)(∀ x71 . x36 x71(x37 x71False)False)(∀ x71 . x64 x71(x20 x71False)False)(∀ x71 . x5 x71 x58(x54 x71False)False)(∀ x71 x72 . x54 x72x5 x71 (x4 x72)(x54 x71False)False)(∀ x71 x72 . x36 x72x5 x71 (x4 x72)(x36 x71False)False)(∀ x71 x72 . x37 x72x5 x71 (x4 x72)(x37 x71False)False)(∀ x71 x72 . x43 x72x5 x71 (x4 x72)(x43 x71False)False)(∀ x71 x72 . x31 x72x5 x71 (x4 x72)(x31 x71False)False)(∀ x71 . x5 x71 x8(x12 x71False)False)(∀ x71 . x5 x71 x8(x70 x71False)False)(∀ x71 x72 x73 . x5 x73 (x4 (x28 x71 x72))(x27 x73False)False)(∀ x71 . x54 x71(x36 x71False)False)(∀ x71 x72 . x42 x72x5 x71 (x4 x72)(x42 x71False)False)(∀ x71 . x64 x71(x54 x71False)False)(∀ x71 x72 . x54 x72x5 x71 x72(x32 x71False)False)(∀ x71 x72 . x36 x72x5 x71 x72(x33 x71False)False)(∀ x71 x72 . x37 x72x5 x71 x72(x35 x71False)False)(∀ x71 x72 . x43 x72x5 x71 x72(x12 x71False)False)(∀ x71 x72 . x31 x72x5 x71 x72(x14 x71False)False)(∀ x71 x72 . x42 x72x5 x71 x72(x70 x71False)False)(∀ x71 . x5 x71 (x4 x58)(x54 x71False)False)(∀ x71 x72 . x3 x71 x72x3 x72 x71False)(x69 (x65 x34 x1) = x63False)((x12 x34False)False)False
type
prop
theory
HotG
name
-
proof
PUZRD..
Megalodon
-
proofgold address
TMGxU..
creator
35129 PrPhD../7479a..
owner
35137 PrPhD../7ffd1..
term root
82672..