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Proofgold Term Root Disambiguation

∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 x3 : ι → ι → ο . ∀ x4 : ι → ι → ι . ∀ x5 . ∀ x6 x7 x8 x9 : ι → ο . ∀ x10 : ι → ι → ι → ο . ∀ x11 : ι → ι → ι → ι → ο . ∀ x12 x13 x14 x15 : ι → ο . ∀ x16 x17 : ι → ι → ι . ∀ x18 : ι → ι . ∀ x19 : ι → ο . ∀ x20 . ∀ x21 : ι → ο . ∀ x22 : ι → ι → ο . ∀ x23 : ι → ι → ι . ∀ x24 : ι → ο . ∀ x25 : ι → ι → ι → ι → ι . ∀ x26 x27 : ι → ο . ∀ x28 : ι → ι → ι → ι . ∀ x29 : ι → ι . ∀ x30 : ι → ι → ι → ι → ο . ∀ x31 : ι → ι → ι → ι . ∀ x32 x33 . ∀ x34 : ι → ι → ι → ι → ι . ∀ x35 : ι → ι → ι → ι → ι → ι → ι . ∀ x36 x37 x38 x39 x40 x41 . ∀ x42 : ι → ο . ∀ x43 x44 : ι → ι → ο . ∀ x45 : ι → ι → ι → ι → ι . ∀ x46 : ι → ι → ι → ι . ∀ x47 x48 x49 . ∀ x50 : ι → ι → ι → ι → ι . ∀ x51 : ι → ι → ι → ι → ι → ο . ∀ x52 : ι → ι → ι . ∀ x53 : ι → ι → ι → ι . ∀ x54 : ι → ι → ι . ∀ x55 : ι → ι → ο . ∀ x56 x57 : ι → ι . ∀ x58 x59 : ι → ο . ∀ x60 . ∀ x61 : ι → ο . ∀ x62 : ι → ι . ∀ x63 : ι → ο . ∀ x64 : ι → ι → ι . ∀ x65 : ι → ι → ι → ι → ι . ∀ x66 : ι → ι → ι . ∀ x67 : ι → ι → ι → ο . ∀ x68 x69 : ι → ι → ι . ∀ x70 : ι → ι . ∀ x71 : ι → ο . ∀ x72 . ∀ x73 : ι → ο . (∀ x74 x75 . x73 x75(x75 = x74False)x73 x74False)(∀ x74 x75 . x0 x74 x75x73 x75False)(∀ x74 . x73 x74(x74 = x72False)False)(∀ x74 x75 x76 . x0 x74 x75x2 x75 (x1 x76)x73 x76False)(∀ x74 x75 x76 . x0 x75 x76x2 x76 (x1 x74)(x2 x75 x74False)False)(∀ x74 x75 . x3 x75 x74(x2 x75 (x1 x74)False)False)(∀ x74 x75 . x2 x75 (x1 x74)(x3 x75 x74False)False)(∀ x74 x75 x76 . x0 x75 x76x0 x74 x76x0 x74 (x4 x76 x75)False)(∀ x74 x75 . x0 x75 x74(x0 (x4 x74 x75) x74False)False)(∀ x74 x75 . x2 x74 x75(x73 x75False)(x0 x74 x75False)False)(∀ x74 x75 . x0 x75 x74(x2 x75 x74False)False)(x73 x5False)(∀ x74 . (x3 x74 x74False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77(x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76x10 x75 x77 x76x10 x74 x77 x76(x11 x77 x76 x75 x75False)False)(∀ x74 x75 . (x6 x75False)(x15 x75False)x71 x75x2 x74 (x70 x75)(x68 x75 x74 = x69 x75 x74False)False)(∀ x74 x75 . (x6 x75False)(x15 x75False)x71 x75x2 x74 (x70 x75)(x17 x75 x74 = x16 x75 x74False)False)(∀ x74 x75 x76 x77 . (x73 x77False)x63 x74x67 x74 x77 x76x2 x74 (x1 (x66 x77 x76))x2 x75 x77(x65 x77 x76 x74 x75 = x64 x74 x75False)False)(∀ x74 . (x6 x74False)x19 x74x73 (x18 x74)False)(∀ x74 . (x6 x74False)x19 x74(x2 (x18 x74) (x1 (x62 x74))False)False)(x15 x20False)(x6 x20False)((x12 x20False)False)(x61 x60False)((x21 x60False)False)(∀ x74 . (x59 x74False)x19 x74x58 (x57 x74)False)(∀ x74 . (x59 x74False)x19 x74(x2 (x57 x74) (x1 (x62 x74))False)False)(∀ x74 . (x6 x74False)x19 x74(x58 (x56 x74)False)False)(∀ x74 . (x6 x74False)x19 x74x73 (x56 x74)False)(∀ x74 . (x6 x74False)x19 x74(x2 (x56 x74) (x1 (x62 x74))False)False)(∀ x74 x75 . (x22 (x23 x74 x75) x74False)False)(∀ x74 x75 . (x55 (x23 x75 x74) x74False)False)(∀ x74 x75 . (x24 (x23 x74 x75)False)False)(∀ x74 x75 . (x73 (x23 x74 x75)False)False)(∀ x74 x75 . (x2 (x23 x74 x75) (x1 (x66 x75 x74))False)False)(∀ x74 x75 . (x67 (x54 x74 x75) x75 x74False)False)(∀ x74 x75 . (x63 (x54 x74 x75)False)False)(∀ x74 x75 . (x22 (x54 x74 x75) x74False)False)(∀ x74 x75 . (x55 (x54 x75 x74) x74False)False)(∀ x74 x75 . (x24 (x54 x74 x75)False)False)(∀ x74 x75 . (x2 (x54 x74 x75) (x1 (x66 x75 x74))False)False)(∀ x74 x75 x76 x77 x78 . (x6 x78False)(x15 x78False)x12 x78x2 x74 (x62 x78)x2 x77 (x62 x78)x2 x75 (x70 x78)x76 = x75x17 x78 x75 = x74x68 x78 x75 = x77(x0 x76 (x53 x78 x74 x77)False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x12 x77x2 x74 (x62 x77)x2 x76 (x62 x77)x0 x75 (x53 x77 x74 x76)(x68 x77 (x25 x76 x74 x77 x75) = x76False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x12 x77x2 x74 (x62 x77)x2 x76 (x62 x77)x0 x75 (x53 x77 x74 x76)(x17 x77 (x25 x76 x74 x77 x75) = x74False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x12 x77x2 x74 (x62 x77)x2 x76 (x62 x77)x0 x75 (x53 x77 x74 x76)(x75 = x25 x76 x74 x77 x75False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x12 x77x2 x74 (x62 x77)x2 x76 (x62 x77)x0 x75 (x53 x77 x74 x76)(x2 (x25 x76 x74 x77 x75) (x70 x77)False)False)(∀ x74 . (x26 x74False)x19 x74x27 (x62 x74)False)(∀ x74 . x26 x74x19 x74(x27 (x62 x74)False)False)(∀ x74 . x59 x74x19 x74(x58 (x62 x74)False)False)(∀ x74 . (x59 x74False)x19 x74x58 (x62 x74)False)(∀ x74 x75 . (x6 x75False)(x15 x75False)x13 x75x12 x75x2 x74 (x62 x75)x73 (x28 x75 x74 x74)False)(∀ x74 . (x6 x74False)x19 x74x73 (x62 x74)False)(∀ x74 . (x61 x74False)x21 x74x58 (x70 x74)False)(∀ x74 . x61 x74x21 x74(x58 (x70 x74)False)False)(∀ x74 . x6 x74x19 x74(x73 (x62 x74)False)False)(∀ x74 . (x15 x74False)x21 x74x73 (x70 x74)False)(∀ x74 . x15 x74x21 x74(x73 (x70 x74)False)False)(∀ x74 x75 . (x6 x75False)(x15 x75False)x7 x75x14 x75x8 x75x13 x75x9 x75x12 x75(x6 x74False)(x15 x74False)x7 x74x14 x74x8 x74x13 x74x9 x74x12 x74(x10 (x52 x74 x75) x75 x74False)False)(∀ x74 . (x2 (x29 x74) x74False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77(x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76x10 x75 x77 x76x10 x74 x77 x76(x51 (x50 x74 x75 x76 x77) x77 x76 x75 x74False)False)(∀ x74 x75 x76 . (x6 x76False)(x15 x76False)x12 x76x2 x74 (x62 x76)x2 x75 (x62 x76)(x30 (x31 x75 x74 x76) x76 x74 x75False)False)((x21 x49False)False)((x19 x32False)False)((x71 x48False)False)((x12 x33False)False)((x73 x47False)False)(∀ x74 x75 x76 . (x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76(x6 x75False)(x15 x75False)x7 x75x14 x75x8 x75x13 x75x9 x75x12 x75x10 x74 x76 x75(x2 x74 (x1 (x66 (x70 x76) (x70 x75)))False)False)(∀ x74 x75 x76 . (x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76(x6 x75False)(x15 x75False)x7 x75x14 x75x8 x75x13 x75x9 x75x12 x75x10 x74 x76 x75(x67 x74 (x70 x76) (x70 x75)False)False)(∀ x74 x75 x76 . (x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76(x6 x75False)(x15 x75False)x7 x75x14 x75x8 x75x13 x75x9 x75x12 x75x10 x74 x76 x75(x63 x74False)False)(∀ x74 x75 x76 x77 x78 . (x6 x78False)(x15 x78False)x7 x78x14 x78x8 x78x13 x78x9 x78x12 x78(x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77x10 x76 x78 x77x10 x74 x78 x77x51 x75 x78 x77 x76 x74(x2 x75 (x1 (x66 (x62 x78) (x70 x77)))False)False)(∀ x74 x75 x76 x77 x78 . (x6 x78False)(x15 x78False)x7 x78x14 x78x8 x78x13 x78x9 x78x12 x78(x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77x10 x76 x78 x77x10 x74 x78 x77x51 x75 x78 x77 x76 x74(x67 x75 (x62 x78) (x70 x77)False)False)(∀ x74 x75 x76 x77 x78 . (x6 x78False)(x15 x78False)x7 x78x14 x78x8 x78x13 x78x9 x78x12 x78(x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77x10 x76 x78 x77x10 x74 x78 x77x51 x75 x78 x77 x76 x74(x63 x75False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x12 x77x2 x74 (x62 x77)x2 x76 (x62 x77)x30 x75 x77 x74 x76(x2 x75 (x70 x77)False)False)(∀ x74 . x21 x74(x19 x74False)False)(∀ x74 . x71 x74(x21 x74False)False)(∀ x74 . x12 x74(x71 x74False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77(x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76x10 x75 x77 x76x2 x74 (x62 x77)(x2 (x34 x77 x76 x75 x74) (x62 x76)False)False)(∀ x74 x75 x76 . (x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76(x6 x75False)(x15 x75False)x7 x75x14 x75x8 x75x13 x75x9 x75x12 x75x63 x74x67 x74 (x70 x76) (x70 x75)x2 x74 (x1 (x66 (x70 x76) (x70 x75)))(x2 (x46 x76 x75 x74) (x1 (x66 (x62 x76) (x62 x75)))False)False)(∀ x74 x75 x76 . (x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76(x6 x75False)(x15 x75False)x7 x75x14 x75x8 x75x13 x75x9 x75x12 x75x63 x74x67 x74 (x70 x76) (x70 x75)x2 x74 (x1 (x66 (x70 x76) (x70 x75)))(x67 (x46 x76 x75 x74) (x62 x76) (x62 x75)False)False)(∀ x74 x75 x76 . (x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76(x6 x75False)(x15 x75False)x7 x75x14 x75x8 x75x13 x75x9 x75x12 x75x63 x74x67 x74 (x70 x76) (x70 x75)x2 x74 (x1 (x66 (x70 x76) (x70 x75)))(x63 (x46 x76 x75 x74)False)False)(∀ x74 x75 x76 x77 x78 x79 . (x6 x79False)(x15 x79False)x7 x79x14 x79x8 x79x13 x79x9 x79x12 x79(x6 x78False)(x15 x78False)x7 x78x14 x78x8 x78x13 x78x9 x78x12 x78x10 x77 x79 x78x10 x74 x79 x78x51 x76 x79 x78 x77 x74x2 x75 (x62 x79)(x30 (x35 x79 x78 x77 x74 x76 x75) x78 (x34 x79 x78 x77 x75) (x34 x79 x78 x74 x75)False)False)(∀ x74 x75 . (x6 x75False)(x15 x75False)x71 x75x2 x74 (x70 x75)(x2 (x68 x75 x74) (x62 x75)False)False)(∀ x74 x75 . (x6 x75False)(x15 x75False)x71 x75x2 x74 (x70 x75)(x2 (x17 x75 x74) (x62 x75)False)False)(∀ x74 x75 x76 x77 . (x73 x77False)x63 x74x67 x74 x77 x76x2 x74 (x1 (x66 x77 x76))x2 x75 x77(x2 (x65 x77 x76 x74 x75) x76False)False)(∀ x74 x75 . x71 x75x2 x74 (x70 x75)(x2 (x69 x75 x74) (x62 x75)False)False)(∀ x74 x75 x76 . (x6 x76False)(x15 x76False)x12 x76x2 x74 (x62 x76)x2 x75 (x62 x76)(x2 (x28 x76 x74 x75) (x1 (x70 x76))False)False)(∀ x74 x75 . x71 x75x2 x74 (x70 x75)(x2 (x16 x75 x74) (x62 x75)False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x12 x77x2 x74 (x62 x77)x2 x76 (x62 x77)(x28 x77 x74 x76 = x72False)x2 x75 (x70 x77)x0 x75 (x28 x77 x74 x76)(x30 x75 x77 x74 x76False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x12 x77x2 x74 (x62 x77)x2 x76 (x62 x77)(x28 x77 x74 x76 = x72False)x2 x75 (x70 x77)x30 x75 x77 x74 x76(x0 x75 (x28 x77 x74 x76)False)False)(∀ x74 x75 x76 . (x6 x76False)(x15 x76False)x12 x76x2 x74 (x62 x76)x2 x75 (x62 x76)(x28 x76 x74 x75 = x53 x76 x74 x75False)False)((x72 = x47False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77(x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76x10 x75 x77 x76x10 x74 x77 x76(x28 x76 (x34 x77 x76 x75 (x45 x74 x75 x76 x77)) (x34 x77 x76 x74 (x45 x74 x75 x76 x77)) = x72False)(x11 x77 x76 x75 x74False)False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77(x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76x10 x75 x77 x76x10 x74 x77 x76(x2 (x45 x74 x75 x76 x77) (x62 x77)False)(x11 x77 x76 x75 x74False)False)(∀ x74 x75 x76 x77 x78 . (x6 x78False)(x15 x78False)x7 x78x14 x78x8 x78x13 x78x9 x78x12 x78(x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77x10 x76 x78 x77x10 x74 x78 x77x11 x78 x77 x76 x74x2 x75 (x62 x78)x28 x77 (x34 x78 x77 x76 x75) (x34 x78 x77 x74 x75) = x72False)(∀ x74 x75 x76 x77 . (x6 x77False)(x15 x77False)x7 x77x14 x77x8 x77x13 x77x9 x77x12 x77(x6 x76False)(x15 x76False)x7 x76x14 x76x8 x76x13 x76x9 x76x12 x76x10 x75 x77 x76x2 x74 (x62 x77)(x34 x77 x76 x75 x74 = x65 (x62 x77) (x62 x76) (x46 x77 x76 x75) x74False)False)(∀ x74 . x19 x74x44 x74 x72(x6 x74False)False)(∀ x74 . x19 x74x6 x74(x44 x74 x72False)False)(∀ x74 x75 x76 . (x73 x76False)(x73 x74False)x2 x75 (x1 (x66 x76 x74))x63 x75x67 x75 x76 x74(x67 x75 x76 x74False)False)(∀ x74 x75 x76 . (x73 x76False)(x73 x74False)x2 x75 (x1 (x66 x76 x74))x63 x75x67 x75 x76 x74x73 x75False)(∀ x74 x75 x76 . (x73 x76False)(x73 x74False)x2 x75 (x1 (x66 x76 x74))x63 x75x67 x75 x76 x74(x63 x75False)False)(∀ x74 . x19 x74(x26 x74False)x59 x74False)(∀ x74 . x19 x74x59 x74(x26 x74False)False)(∀ x74 . x19 x74(x26 x74False)x26 x74False)(∀ x74 . x19 x74(x26 x74False)x6 x74False)(∀ x74 . x19 x74x6 x74(x26 x74False)False)(∀ x74 . x19 x74x6 x74(x6 x74False)False)(∀ x74 x75 x76 . x73 x76x2 x74 (x1 (x66 x75 x76))(x73 x74False)False)(∀ x74 x75 . x2 x75 (x1 (x66 x74 x74))x67 x75 x74 x74(x43 x75 x74False)False)(∀ x74 x75 x76 . x73 x76x2 x74 (x1 (x66 x76 x75))(x73 x74False)False)(∀ x74 x75 x76 . (x73 x76False)x2 x74 (x1 (x66 x75 x76))x67 x74 x75 x76(x43 x74 x75False)False)(∀ x74 . x19 x74(x59 x74False)x6 x74False)(∀ x74 x75 x76 . x2 x76 (x1 (x66 x74 x75))(x22 x76 x75False)False)(∀ x74 x75 x76 . x2 x76 (x1 (x66 x75 x74))(x55 x76 x75False)False)(∀ x74 x75 x76 . x73 x76x2 x74 (x1 (x66 x76 x75))x67 x74 x76 x75(x43 x74 x76False)False)(∀ x74 . x12 x74(x6 x74False)(x15 x74False)x61 x74(x9 x74False)False)(∀ x74 . x12 x74(x6 x74False)(x15 x74False)x61 x74(x8 x74False)False)(∀ x74 . x12 x74(x6 x74False)(x15 x74False)x61 x74x15 x74False)(∀ x74 . x12 x74(x6 x74False)(x15 x74False)x61 x74x6 x74False)(∀ x74 . x19 x74x6 x74(x59 x74False)False)(∀ x74 x75 x76 . x2 x76 (x1 (x66 x74 x75))(x24 x76False)False)(∀ x74 x75 x76 . x2 x75 (x1 (x66 x76 x74))x43 x75 x76(x67 x75 x76 x74False)False)(∀ x74 . x12 x74(x6 x74False)x59 x74(x15 x74False)(x13 x74False)False)(∀ x74 . x12 x74(x6 x74False)x59 x74(x15 x74False)(x14 x74False)False)(∀ x74 . x12 x74(x6 x74False)x59 x74(x15 x74False)x15 x74False)(∀ x74 . x12 x74(x6 x74False)x59 x74(x15 x74False)x6 x74False)(∀ x74 . x19 x74(x59 x74False)x6 x74False)(∀ x74 . x21 x74x15 x74(x61 x74False)False)(∀ x74 . x21 x74(x15 x74False)x42 x74x6 x74False)(∀ x74 . x21 x74x6 x74x42 x74(x15 x74False)False)(∀ x74 . x21 x74x15 x74(x42 x74False)False)(∀ x74 . x21 x74(x6 x74False)(x42 x74False)False)(∀ x74 . x19 x74x44 x74 x5(x59 x74False)False)(∀ x74 . x19 x74x44 x74 x5x6 x74False)(∀ x74 . x19 x74(x6 x74False)x59 x74(x44 x74 x5False)False)(∀ x74 x75 . x0 x74 x75x0 x75 x74False)(x0 (x35 x37 x41 x40 x39 x36 x38) (x28 x41 (x34 x37 x41 x40 x38) (x34 x37 x41 x39 x38))False)((x2 x38 (x62 x37)False)False)((x51 x36 x37 x41 x40 x39False)False)((x11 x37 x41 x40 x39False)False)((x10 x39 x37 x41False)False)((x10 x40 x37 x41False)False)((x12 x41False)False)((x9 x41False)False)((x13 x41False)False)((x8 x41False)False)((x14 x41False)False)((x7 x41False)False)(x15 x41False)(x6 x41False)((x12 x37False)False)((x9 x37False)False)((x13 x37False)False)((x8 x37False)False)((x14 x37False)False)((x7 x37False)False)(x15 x37False)(x6 x37False)False
as obj
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as prop
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theory
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address
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