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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 : ι → ι . ∀ x6 : ι → ι → ο . ∀ x7 : ι → ο . ∀ x8 : ι → ι . ∀ x9 : ι → ο . ∀ x10 : ι → ι . ∀ x11 : ι → ι → ο . ∀ x12 : ι → ι → ι . ∀ x13 : ι → ο . ∀ x14 : ι → ι . ∀ x15 : ι → ο . ∀ x16 . ∀ x17 : ι → ι → ο . ∀ x18 : ι → ι . ∀ x19 x20 : ι → ο . ∀ x21 : ι → ι → ι . ∀ x22 x23 . ∀ x24 : ι → ο . ∀ x25 . ∀ x26 : ι → ο . ∀ x27 : ι → ι . ∀ x28 : ι → ι → ι . ∀ x29 x30 : ι → ο . ∀ x31 : ι → ι . ∀ x32 x33 : ι → ο . ∀ x34 : ι → ι . ∀ x35 x36 . ∀ x37 : ι → ι → ι → ι . ∀ x38 : ι → ι → ο . ∀ x39 x40 x41 x42 x43 x44 : ι → ο . ∀ x45 x46 x47 . ∀ x48 : ι → ο . ∀ x49 : ι → ι → ι . ∀ x50 x51 x52 . ∀ x53 x54 : ι → ο . ∀ x55 : ι → ι . ∀ x56 x57 x58 : ι → ο . ∀ x59 : ι → ι → ι → ι . ∀ x60 : ι → ο . ∀ x61 : ι → ι → ι . ∀ x62 x63 x64 : ι → ι . ∀ x65 x66 x67 : ι → ο . ∀ x68 . ∀ x69 : ι → ι → ο . ∀ x70 : ι → ι . ∀ x71 : ι → ο . ∀ x72 : ι → ι → ο . ∀ x73 x74 x75 : ι → ι . ∀ x76 : ι → ο . ∀ x77 x78 . ∀ x79 : ι → ο . (∀ x80 x81 . x79 x81(x81 = x80False)x79 x80False)(∀ x80 x81 . x0 x80 x81x79 x81False)(∀ x80 . x79 x80(x80 = x78False)False)(∀ x80 x81 x82 . x0 x80 x81x2 x81 (x1 x82)x79 x82False)(∀ x80 x81 x82 . x0 x81 x82x2 x82 (x1 x80)(x2 x81 x80False)False)(∀ x80 x81 . x3 x81 x80(x2 x81 (x1 x80)False)False)(∀ x80 x81 . x2 x81 (x1 x80)(x3 x81 x80False)False)(∀ x80 x81 . x2 x80 x81(x79 x81False)(x0 x80 x81False)False)(∀ x80 x81 . x0 x81 x80(x2 x81 x80False)False)(∀ x80 . (x4 x80 x78 = x80False)False)(x79 x77False)(∀ x80 . (x3 x80 x80False)False)(∀ x80 . (x76 x80False)x76 (x75 x80)False)(∀ x80 . (x76 x80False)(x2 (x75 x80) (x1 x80)False)False)(∀ x80 . (x79 x80False)(x76 (x74 x80)False)False)(∀ x80 . (x79 x80False)x79 (x74 x80)False)(∀ x80 . (x79 x80False)(x2 (x74 x80) (x1 x80)False)False)(∀ x80 . (x79 x80False)(x6 (x5 x80) x80False)False)(∀ x80 . (x79 x80False)(x2 (x5 x80) (x1 x80)False)False)(∀ x80 . (x7 x80False)x9 x80x79 (x8 x80)False)(∀ x80 . (x7 x80False)x9 x80(x2 (x8 x80) (x1 (x73 x80))False)False)(∀ x80 . x6 (x10 x80) x80False)(∀ x80 . (x2 (x10 x80) (x1 x80)False)False)(∀ x80 x81 . (x11 (x12 x80 x81) x80False)False)(∀ x80 x81 . (x72 (x12 x81 x80) x80False)False)(∀ x80 x81 . (x13 (x12 x80 x81)False)False)(∀ x80 . x71 x80(x69 (x70 x80) x80False)False)(∀ x80 . x71 x80(x2 (x70 x80) (x1 (x73 x80))False)False)(x79 x68False)(∀ x80 . (x79 (x14 x80)False)False)(∀ x80 . (x2 (x14 x80) (x1 x80)False)False)((x15 x16False)False)((x13 x16False)False)(∀ x80 . (x17 (x18 x80) x80False)False)(∀ x80 . (x67 (x18 x80)False)False)(∀ x80 . (x19 (x18 x80)False)False)(∀ x80 . (x66 (x18 x80)False)False)(∀ x80 . (x20 (x18 x80)False)False)(∀ x80 . (x11 (x18 x80) x80False)False)(∀ x80 . (x72 (x18 x80) x80False)False)(∀ x80 . (x13 (x18 x80)False)False)(∀ x80 . (x2 (x18 x80) (x1 (x21 x80 x80))False)False)(∀ x80 . (x65 x80False)x9 x80x76 (x64 x80)False)(∀ x80 . (x65 x80False)x9 x80(x2 (x64 x80) (x1 (x73 x80))False)False)(∀ x80 . (x7 x80False)x9 x80(x76 (x63 x80)False)False)(∀ x80 . (x7 x80False)x9 x80x79 (x63 x80)False)(∀ x80 . (x7 x80False)x9 x80(x2 (x63 x80) (x1 (x73 x80))False)False)((x79 x22False)False)(∀ x80 . (x79 x80False)x79 (x62 x80)False)(∀ x80 . (x79 x80False)(x2 (x62 x80) (x1 x80)False)False)(∀ x80 x81 . (x11 (x61 x80 x81) x80False)False)(∀ x80 x81 . (x72 (x61 x81 x80) x80False)False)(∀ x80 x81 . (x13 (x61 x80 x81)False)False)(∀ x80 x81 . (x79 (x61 x80 x81)False)False)(∀ x80 x81 . (x2 (x61 x80 x81) (x1 (x21 x81 x80))False)False)((x13 x23False)False)(x79 x23False)((x24 x25False)False)((x60 x25False)False)(∀ x80 . (x4 x80 x80 = x80False)False)(∀ x80 x81 x82 x83 x84 x85 . x2 x84 (x1 (x21 x85 x85))x2 x80 (x1 (x21 x85 x85))x59 x85 x84 x80 = x59 x82 x81 x83(x80 = x83False)False)(∀ x80 x81 x82 x83 x84 x85 . x2 x84 (x1 (x21 x85 x85))x2 x80 (x1 (x21 x85 x85))x59 x85 x84 x80 = x59 x82 x83 x81(x84 = x83False)False)(∀ x80 x81 x82 x83 x84 x85 . x2 x84 (x1 (x21 x85 x85))x2 x80 (x1 (x21 x85 x85))x59 x85 x84 x80 = x59 x83 x82 x81(x85 = x83False)False)(∀ x80 . (x26 x80False)x71 x80x79 (x27 x80)False)(∀ x80 . (x58 x80False)x9 x80x57 (x73 x80)False)(∀ x80 . x58 x80x9 x80(x57 (x73 x80)False)False)(∀ x80 . x65 x80x9 x80(x76 (x73 x80)False)False)(∀ x80 . (x65 x80False)x9 x80x76 (x73 x80)False)(∀ x80 x81 . x13 x81x56 x81x13 x80x56 x80(x56 (x4 x81 x80)False)False)(∀ x80 x81 . (x13 (x21 x80 x81)False)False)(∀ x80 x81 . (x79 x81False)x79 (x4 x80 x81)False)(∀ x80 x81 . x60 x81(x24 (x28 x81 x80)False)False)(∀ x80 x81 . x60 x81x7 (x28 x81 x80)False)(∀ x80 x81 . (x79 x81False)x79 (x4 x81 x80)False)(∀ x80 x81 x82 . x13 x82x11 x82 x80x13 x81x11 x81 x80(x11 (x4 x82 x81) x80False)False)(∀ x80 x81 . x13 x81x20 x81x13 x80x20 x80(x20 (x4 x81 x80)False)False)(∀ x80 x81 . x13 x81x13 x80(x13 (x4 x81 x80)False)False)(∀ x80 x81 x82 x83 . x66 x83x2 x83 (x1 (x21 x80 x80))x66 x82x2 x82 (x1 (x21 x81 x81))(x66 (x4 x83 x82)False)False)(∀ x80 . x79 (x55 x80)False)(∀ x80 . (x7 x80False)x9 x80x79 (x73 x80)False)(∀ x80 x81 x82 x83 . x20 x83x2 x83 (x1 (x21 x80 x80))x20 x82x2 x82 (x1 (x21 x81 x81))(x20 (x4 x83 x82)False)False)(∀ x80 . x29 x80x71 x80(x17 (x27 x80) (x73 x80)False)False)((x79 x78False)False)(∀ x80 . x79 (x1 x80)False)(∀ x80 . x7 x80x9 x80(x79 (x73 x80)False)False)(∀ x80 x81 x82 . x13 x82x72 x82 x80x13 x81x72 x81 x80(x72 (x4 x82 x81) x80False)False)(∀ x80 x81 x82 x83 . x17 x82 x83x2 x82 (x1 (x21 x83 x83))x17 x80 x81x2 x80 (x1 (x21 x81 x81))(x17 (x4 x82 x80) (x4 x83 x81)False)False)(∀ x80 . x30 x80x32 x80(x66 (x31 x80)False)False)(∀ x80 . x54 x80x32 x80(x56 (x31 x80)False)False)(∀ x80 . x33 x80x32 x80(x20 (x31 x80)False)False)(∀ x80 . x53 x80x32 x80(x17 (x31 x80) (x73 x80)False)False)(∀ x80 x81 . (x79 x81False)(x79 x80False)x79 (x21 x81 x80)False)(∀ x80 x81 . x13 x81x66 x81x13 x80x66 x80(x66 (x4 x81 x80)False)False)(∀ x80 . (x2 (x34 x80) x80False)False)((x60 x52False)False)((x9 x35False)False)((x32 x51False)False)((x71 x36False)False)(∀ x80 . x32 x80(x2 (x31 x80) (x1 (x21 (x73 x80) (x73 x80)))False)False)(∀ x80 . x71 x80(x2 (x27 x80) (x1 (x21 (x73 x80) (x73 x80)))False)False)((x79 x50False)False)(∀ x80 . x60 x80(x32 x80False)False)(∀ x80 . x60 x80(x71 x80False)False)(∀ x80 . x32 x80(x9 x80False)False)(∀ x80 . x71 x80(x9 x80False)False)(∀ x80 x81 . x60 x81(x60 (x28 x81 x80)False)False)(∀ x80 x81 . x60 x81(x24 (x28 x81 x80)False)False)(∀ x80 x81 x82 . x2 x81 (x1 (x21 x82 x82))x2 x80 (x1 (x21 x82 x82))(x60 (x59 x82 x81 x80)False)False)(∀ x80 x81 x82 . x2 x81 (x1 (x21 x82 x82))x2 x80 (x1 (x21 x82 x82))(x24 (x59 x82 x81 x80)False)False)(∀ x80 x81 x82 . (x0 (x37 x80 x81 x82) x82False)(x0 (x37 x80 x81 x82) x81False)(x0 (x37 x80 x81 x82) x80False)(x80 = x4 x82 x81False)False)(∀ x80 x81 x82 . x0 (x37 x80 x81 x82) x80x0 (x37 x80 x81 x82) x81(x80 = x4 x82 x81False)False)(∀ x80 x81 x82 . x0 (x37 x80 x81 x82) x80x0 (x37 x80 x81 x82) x82(x80 = x4 x82 x81False)False)(∀ x80 x81 x82 x83 . x82 = x4 x80 x81x0 x83 x81(x0 x83 x82False)False)(∀ x80 x81 x82 x83 . x82 = x4 x81 x80x0 x83 x81(x0 x83 x82False)False)(∀ x80 x81 x82 x83 . x83 = x4 x81 x82x0 x80 x83(x0 x80 x81False)(x0 x80 x82False)False)(∀ x80 x81 x82 . x60 x82x24 x80x60 x80x73 x80 = x4 (x55 x81) (x73 x82)x27 x80 = x4 (x21 (x55 x81) (x73 x80)) (x27 x82)x31 x80 = x4 (x4 (x21 (x55 x81) (x73 x80)) (x21 (x73 x80) (x55 x81))) (x31 x82)(x80 = x28 x82 x81False)False)(∀ x80 x81 x82 . x60 x82x24 x80x60 x80x80 = x28 x82 x81(x31 x80 = x4 (x4 (x21 (x55 x81) (x73 x80)) (x21 (x73 x80) (x55 x81))) (x31 x82)False)False)(∀ x80 x81 x82 . x60 x82x24 x80x60 x80x80 = x28 x82 x81(x27 x80 = x4 (x21 (x55 x81) (x73 x80)) (x27 x82)False)False)(∀ x80 x81 x82 . x60 x82x24 x80x60 x80x80 = x28 x82 x81(x73 x80 = x4 (x55 x81) (x73 x82)False)False)((x78 = x50False)False)(∀ x80 x81 . (x49 x81 x80 = x80False)(x0 (x49 x81 x80) x81False)(x81 = x55 x80False)False)(∀ x80 x81 . x0 (x49 x81 x80) x81x49 x81 x80 = x80(x81 = x55 x80False)False)(∀ x80 x81 x82 . x81 = x55 x82x80 = x82(x0 x80 x81False)False)(∀ x80 x81 x82 . x81 = x55 x82x0 x80 x81(x80 = x82False)False)(∀ x80 x81 . (x4 x81 x80 = x4 x80 x81False)False)(∀ x80 . x9 x80x38 x80 x78(x7 x80False)False)(∀ x80 . x9 x80x7 x80(x38 x80 x78False)False)(∀ x80 x81 . x79 x81x13 x80x11 x80 x81(x11 x80 x81False)False)(∀ x80 x81 . x79 x81x13 x80x11 x80 x81(x13 x80False)False)(∀ x80 x81 . x79 x81x13 x80x11 x80 x81(x79 x80False)False)(∀ x80 . x9 x80(x58 x80False)x65 x80False)(∀ x80 x81 . x79 x81x13 x80x72 x80 x81(x72 x80 x81False)False)(∀ x80 x81 . x79 x81x13 x80x72 x80 x81(x13 x80False)False)(∀ x80 x81 . x79 x81x13 x80x72 x80 x81(x79 x80False)False)(∀ x80 . x9 x80x65 x80(x58 x80False)False)(∀ x80 x81 x82 . x13 x82x11 x82 x80x2 x81 (x1 x82)(x11 x81 x80False)False)(∀ x80 x81 . x76 x81x2 x80 (x1 x81)(x76 x80False)False)(∀ x80 . x9 x80(x58 x80False)x58 x80False)(∀ x80 . x9 x80(x58 x80False)x7 x80False)(∀ x80 . x13 x80x39 x80(x40 x80False)False)(∀ x80 . x13 x80x39 x80(x20 x80False)False)(∀ x80 . x13 x80x39 x80(x13 x80False)False)(∀ x80 x81 x82 . x13 x82x72 x82 x80x2 x81 (x1 x82)(x72 x81 x80False)False)(∀ x80 . x13 x80x79 x80(x41 x80False)False)(∀ x80 . x13 x80x79 x80(x48 x80False)False)(∀ x80 . x13 x80x79 x80(x42 x80False)False)(∀ x80 . x13 x80x79 x80(x13 x80False)False)(∀ x80 x81 . x79 x81x2 x80 (x1 x81)x6 x80 x81False)(∀ x80 . x9 x80x7 x80(x58 x80False)False)(∀ x80 . x9 x80x7 x80(x7 x80False)False)(∀ x80 x81 x82 . x79 x82x2 x80 (x1 (x21 x81 x82))(x79 x80False)False)(∀ x80 . x13 x80x43 x80(x19 x80False)False)(∀ x80 . x13 x80x43 x80(x56 x80False)False)(∀ x80 . x13 x80x43 x80(x13 x80False)False)(∀ x80 . x79 x80x13 x80(x15 x80False)False)(∀ x80 . x79 x80x13 x80(x13 x80False)False)(∀ x80 . x32 x80x7 x80(x30 x80False)False)(∀ x80 . x32 x80x7 x80(x54 x80False)False)(∀ x80 . x32 x80x7 x80(x33 x80False)False)(∀ x80 x81 . (x79 x81False)x2 x80 (x1 x81)x79 x80(x6 x80 x81False)False)(∀ x80 x81 x82 . x79 x82x2 x80 (x1 (x21 x82 x81))(x79 x80False)False)(∀ x80 . x13 x80x56 x80x67 x80(x43 x80False)False)(∀ x80 . x13 x80x56 x80x67 x80(x13 x80False)False)(∀ x80 . x79 x80x13 x80(x44 x80False)False)(∀ x80 . x79 x80x13 x80(x13 x80False)False)(∀ x80 . x32 x80x33 x80(x53 x80False)False)(∀ x80 . x13 x80x66 x80x67 x80(x20 x80False)False)(∀ x80 . x13 x80x66 x80x67 x80(x13 x80False)False)(∀ x80 . x71 x80(x26 x80False)x7 x80False)(∀ x80 x81 . (x79 x81False)x2 x80 (x1 x81)(x6 x80 x81False)x79 x80False)(∀ x80 . x9 x80(x65 x80False)x7 x80False)(∀ x80 x81 x82 . x2 x82 (x1 (x21 x80 x81))(x11 x82 x81False)False)(∀ x80 x81 x82 . x2 x82 (x1 (x21 x81 x80))(x72 x82 x81False)False)(∀ x80 . x13 x80x66 x80x67 x80(x20 x80False)False)(∀ x80 . x13 x80x66 x80x67 x80(x13 x80False)False)(∀ x80 x81 . x13 x81x2 x80 (x1 x81)(x13 x80False)False)(∀ x80 x81 x82 . (x79 x82False)x79 x80x2 x81 (x1 (x21 x82 x80))x17 x81 x82False)(∀ x80 x81 . x71 x81x2 x80 (x1 (x73 x81))x79 x80(x69 x80 x81False)False)(∀ x80 . x71 x80x7 x80(x26 x80False)False)(∀ x80 . x13 x80x79 x80(x67 x80False)False)(∀ x80 . x13 x80x79 x80(x39 x80False)False)(∀ x80 . x13 x80x79 x80(x40 x80False)False)(∀ x80 . x13 x80x79 x80(x43 x80False)False)(∀ x80 . x13 x80x79 x80(x19 x80False)False)(∀ x80 . x13 x80x79 x80(x66 x80False)False)(∀ x80 . x13 x80x79 x80(x56 x80False)False)(∀ x80 . x13 x80x79 x80(x20 x80False)False)(∀ x80 . x13 x80x79 x80(x13 x80False)False)(∀ x80 x81 . x79 x81x2 x80 (x1 x81)(x79 x80False)False)(∀ x80 . x9 x80x7 x80(x65 x80False)False)(∀ x80 x81 x82 . x2 x82 (x1 (x21 x80 x81))(x13 x82False)False)(∀ x80 . x79 x80x13 x80(x67 x80False)False)(∀ x80 . x79 x80x13 x80(x39 x80False)False)(∀ x80 . x79 x80x13 x80(x40 x80False)False)(∀ x80 . x79 x80x13 x80(x43 x80False)False)(∀ x80 . x79 x80x13 x80(x19 x80False)False)(∀ x80 . x79 x80x13 x80(x66 x80False)False)(∀ x80 . x79 x80x13 x80(x56 x80False)False)(∀ x80 . x79 x80x13 x80(x20 x80False)False)(∀ x80 . x79 x80x13 x80(x13 x80False)False)(∀ x80 . x79 x80(x13 x80False)False)(∀ x80 . x71 x80x7 x80(x29 x80False)False)(∀ x80 x81 x82 . x79 x82x2 x80 (x1 (x21 x82 x81))(x17 x80 x82False)False)(∀ x80 . x9 x80(x65 x80False)x7 x80False)(∀ x80 . x9 x80x38 x80 x77(x65 x80False)False)(∀ x80 . x9 x80x38 x80 x77x7 x80False)(∀ x80 . x9 x80(x7 x80False)x65 x80(x38 x80 x77False)False)(∀ x80 x81 . x0 x80 x81x0 x81 x80False)(∀ x80 . x60 x80x24 x80(x80 = x59 (x73 x80) (x27 x80) (x31 x80)False)False)(x0 x45 (x73 x46)False)(x45 = x47False)((x2 x45 (x73 (x28 x46 x47))False)False)((x60 x46False)False)False
as obj
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as prop
5819e..
theory
HotG
stx
18324..
address
TMKsy..