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Proofgold Signed Transaction

vin
PrNUD../970a6..
PUNyY../b5e72..
vout
PrNUD../591b6.. 0.03 bars
TMdx1../7019f.. ownership of 9e379.. as prop with payaddr PrPhD.. rights free controlledby PrPhD.. upto 0
TMVk1../b2ce2.. ownership of fde12.. as prop with payaddr PrPhD.. rights free controlledby PrPhD.. upto 0
PUaQ3../7381b.. doc published by PrPhD..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Theorem 9e379.. : ∀ x0 : ι → ι → ο . ∀ x1 : ι → ι . ∀ x2 x3 : ι → ι → ο . ∀ x4 : ι → ο . ∀ x5 : ι → ι → ο . ∀ x6 x7 : ι → ι . ∀ x8 : ι → ο . ∀ x9 : ι → ι . ∀ x10 : ι → ι → ο . ∀ x11 : ι → ο . ∀ x12 x13 . ∀ x14 : ι → ι → ο . ∀ x15 : ι → ι . ∀ x16 . ∀ x17 : ι → ο . ∀ x18 . ∀ x19 : ι → ο . ∀ x20 : ι → ι . ∀ x21 x22 . ∀ x23 : ι → ι → ι . ∀ x24 : ι → ι → ι → ι → ι . ∀ x25 : ι → ι → ο . ∀ x26 x27 x28 x29 : ι → ο . ∀ x30 x31 . ∀ x32 x33 : ι → ο . ∀ x34 : ι → ι → ο . ∀ x35 x36 x37 : ι → ο . ∀ x38 : ι → ι → ι . ∀ x39 : ι → ι → ι → ο . ∀ x40 x41 x42 : ι → ι → ι . ∀ x43 : ι → ι → ο . ∀ x44 x45 : ι → ι . ∀ x46 . ∀ x47 : ι → ι . ∀ x48 x49 : ι → ο . ∀ x50 : ι → ι . ∀ x51 : ι → ο . ∀ x52 x53 x54 : ι → ι → ι . ∀ x55 x56 : ι → ι . ∀ x57 x58 : ι → ο . ∀ x59 . ∀ x60 x61 : ι → ο . ∀ x62 : ι → ι → ο . ∀ x63 : ι → ι . ∀ x64 : ι → ο . ∀ x65 . ∀ x66 : ι → ο . ∀ x67 : ι → ι → ο . ∀ x68 : ι → ι → ι . ∀ x69 : ι → ο . ∀ x70 . ∀ x71 : ι → ο . ∀ x72 . ∀ x73 : ι → ι → ο . ∀ x74 : ι → ο . ∀ x75 : ι → ι → ο . ∀ x76 : ι → ι . ∀ x77 : ι → ο . ∀ 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 . (x77 x82False)x74 x82(x77 x81False)x75 x81 x82x2 x80 (x76 x81)(x2 x80 (x76 x82)False)False)(∀ x80 x81 x82 . x0 x81 x82x2 x82 (x1 x80)(x2 x81 x80False)False)(∀ x80 x81 . x73 x81 x80(x2 x81 (x1 x80)False)False)(∀ x80 x81 . x2 x81 (x1 x80)(x73 x81 x80False)False)(∀ x80 x81 . x2 x80 x81(x79 x81False)(x0 x80 x81False)False)(∀ x80 x81 . x0 x81 x80(x2 x81 x80False)False)(x79 x72False)(∀ x80 . (x73 x80 x80False)False)((x71 x70False)False)(x79 x70False)(∀ x80 x81 . (x69 (x68 x80 x81)False)False)(∀ x80 x81 . (x3 (x68 x80 x81) x80False)False)(∀ x80 x81 . (x67 (x68 x81 x80) x80False)False)(∀ x80 x81 . (x4 (x68 x80 x81)False)False)(x66 x65False)((x69 x65False)False)((x4 x65False)False)(∀ x80 . (x77 x80False)x74 x80(x5 (x6 x80) x80False)False)(∀ x80 . (x77 x80False)x74 x80(x64 (x6 x80)False)False)(∀ x80 . (x77 x80False)x74 x80x77 (x6 x80)False)(∀ x80 . (x77 x80False)x74 x80(x75 (x6 x80) x80False)False)(∀ x80 . (x77 x80False)x8 x80x79 (x7 x80)False)(∀ x80 . (x77 x80False)x8 x80(x2 (x7 x80) (x1 (x76 x80))False)False)(∀ x80 . x74 x80(x5 (x9 x80) x80False)False)(∀ x80 . x74 x80(x64 (x9 x80)False)False)(∀ x80 . x74 x80(x75 (x9 x80) x80False)False)(∀ x80 . (x77 x80False)x61 x80x74 x80(x62 (x63 x80) x80False)False)(∀ x80 . (x77 x80False)x61 x80x74 x80(x10 (x63 x80) x80False)False)(∀ x80 . (x77 x80False)x61 x80x74 x80(x60 (x63 x80)False)False)(∀ x80 . (x77 x80False)x61 x80x74 x80x79 (x63 x80)False)(∀ x80 . (x77 x80False)x61 x80x74 x80(x2 (x63 x80) (x1 (x76 x80))False)False)((x11 x12False)False)((x69 x12False)False)((x4 x12False)False)(x79 x59False)((x66 x59False)False)((x69 x59False)False)((x4 x59False)False)(∀ x80 . (x58 x80False)x8 x80x57 (x56 x80)False)(∀ x80 . (x58 x80False)x8 x80(x2 (x56 x80) (x1 (x76 x80))False)False)(∀ x80 . (x77 x80False)x8 x80(x57 (x55 x80)False)False)(∀ x80 . (x77 x80False)x8 x80x79 (x55 x80)False)(∀ x80 . (x77 x80False)x8 x80(x2 (x55 x80) (x1 (x76 x80))False)False)((x61 x13False)False)((x64 x13False)False)((x14 x13 x72False)False)((x74 x13False)False)(∀ x80 . x74 x80(x62 (x15 x80) x80False)False)(∀ x80 . x74 x80(x10 (x15 x80) x80False)False)(∀ x80 . x74 x80(x2 (x15 x80) (x1 (x76 x80))False)False)(∀ x80 x81 . (x3 (x54 x80 x81) x80False)False)(∀ x80 x81 . (x67 (x54 x81 x80) x80False)False)(∀ x80 x81 . (x4 (x54 x80 x81)False)False)(∀ x80 x81 . (x79 (x54 x80 x81)False)False)(∀ x80 x81 . (x2 (x54 x80 x81) (x1 (x53 x81 x80))False)False)((x69 x16False)False)((x4 x16False)False)((x17 x18False)False)((x69 x18False)False)((x4 x18False)False)(∀ x80 x81 x82 x83 . x2 x82 (x1 (x53 x83 x83))x52 x83 x82 = x52 x81 x80(x82 = x80False)False)(∀ x80 x81 x82 x83 . x2 x82 (x1 (x53 x83 x83))x52 x83 x82 = x52 x80 x81(x83 = x80False)False)(∀ x80 . (x51 x80False)x8 x80x60 (x76 x80)False)(∀ x80 . x51 x80x8 x80(x60 (x76 x80)False)False)(∀ x80 . x74 x80(x49 (x50 x80)False)False)(∀ x80 . x74 x80(x64 (x50 x80)False)False)(∀ x80 . x74 x80x77 (x50 x80)False)(∀ x80 . x58 x80x8 x80(x57 (x76 x80)False)False)(∀ x80 . x74 x80(x48 (x50 x80)False)False)(∀ x80 . x74 x80(x19 (x50 x80)False)False)(∀ x80 . x74 x80(x61 (x50 x80)False)False)(∀ x80 . x74 x80(x64 (x50 x80)False)False)(∀ x80 . x74 x80x77 (x50 x80)False)(∀ x80 . (x58 x80False)x8 x80x57 (x76 x80)False)(∀ x80 . (x77 x80False)x8 x80x79 (x76 x80)False)(∀ x80 . x77 x80x8 x80(x79 (x76 x80)False)False)(∀ x80 . x74 x80(x75 (x47 x80) x80False)False)(∀ x80 . (x2 (x20 x80) x80False)False)((x8 x46False)False)((x74 x21False)False)(∀ x80 . x74 x80(x2 (x45 x80) (x1 (x53 (x76 x80) (x76 x80)))False)False)((x79 x22False)False)(∀ x80 x81 . x74 x81x75 x80 x81(x74 x80False)False)(∀ x80 . x74 x80(x8 x80False)False)(∀ x80 . (x77 x80False)x74 x80(x75 (x44 x80) (x50 x80)False)False)(∀ x80 . (x77 x80False)x74 x80(x5 (x44 x80) (x50 x80)False)False)(∀ x80 . (x77 x80False)x74 x80(x64 (x44 x80)False)False)(∀ x80 . (x77 x80False)x74 x80x77 (x44 x80)False)(∀ x80 . x74 x80(x74 (x50 x80)False)False)(∀ x80 . x74 x80(x64 (x50 x80)False)False)(∀ x80 . x74 x80x77 (x50 x80)False)(∀ x80 x81 . x2 x81 (x1 (x53 x80 x80))(x74 (x52 x80 x81)False)False)(∀ x80 x81 . x2 x81 (x1 (x53 x80 x80))(x64 (x52 x80 x81)False)False)(∀ x80 x81 . (x77 x81False)x74 x81(x77 x80False)x64 x80x5 x80 (x50 x81)x75 x80 (x50 x81)(x5 (x23 x80 x81) x81False)(x2 (x23 x80 x81) (x76 x80)False)(x80 = x44 x81False)False)(∀ x80 x81 . (x77 x81False)x74 x81(x77 x80False)x64 x80x5 x80 (x50 x81)x75 x80 (x50 x81)(x43 (x23 x80 x81) x81False)(x2 (x23 x80 x81) (x76 x80)False)(x80 = x44 x81False)False)(∀ x80 x81 . (x77 x81False)x74 x81(x77 x80False)x64 x80x5 x80 (x50 x81)x75 x80 (x50 x81)x2 (x23 x80 x81) (x76 x80)x43 (x23 x80 x81) x81x5 (x23 x80 x81) x81(x80 = x44 x81False)False)(∀ x80 x81 . (x77 x81False)x74 x81(x77 x80False)x64 x80x5 x80 (x50 x81)x75 x80 (x50 x81)(x75 (x23 x80 x81) x81False)(x80 = x44 x81False)False)(∀ x80 x81 . (x77 x81False)x74 x81(x77 x80False)x64 x80x5 x80 (x50 x81)x75 x80 (x50 x81)(x64 (x23 x80 x81)False)(x80 = x44 x81False)False)(∀ x80 x81 x82 . (x77 x82False)x74 x82(x77 x81False)x64 x81x5 x81 (x50 x82)x75 x81 (x50 x82)x81 = x44 x82x64 x80x75 x80 x82x43 x80 x82x5 x80 x82(x2 x80 (x76 x81)False)False)(∀ x80 x81 x82 . (x77 x82False)x74 x82(x77 x81False)x64 x81x5 x81 (x50 x82)x75 x81 (x50 x82)x81 = x44 x82x64 x80x75 x80 x82x2 x80 (x76 x81)(x5 x80 x82False)False)(∀ x80 x81 x82 . (x77 x82False)x74 x82(x77 x81False)x64 x81x5 x81 (x50 x82)x75 x81 (x50 x82)x81 = x44 x82x64 x80x75 x80 x82x2 x80 (x76 x81)(x43 x80 x82False)False)((x78 = x22False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x75 (x42 x80 x81) x81False)(x2 (x42 x80 x81) (x76 x80)False)(x75 (x41 x80 x81) (x40 x80 x81)False)(x39 x80 (x41 x80 x81) (x38 x80 x81)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x75 (x42 x80 x81) x81False)(x2 (x42 x80 x81) (x76 x80)False)(x38 x80 x81 = x40 x80 x81False)(x39 x80 (x41 x80 x81) (x38 x80 x81)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x75 (x42 x80 x81) x81False)(x2 (x42 x80 x81) (x76 x80)False)(x74 (x40 x80 x81)False)(x39 x80 (x41 x80 x81) (x38 x80 x81)False)(x80 = x50 x81False)False)(∀ x80 x81 x82 . x74 x82(x77 x80False)x64 x80x74 x80(x75 (x42 x80 x82) x82False)(x2 (x42 x80 x82) (x76 x80)False)x39 x80 (x41 x80 x82) (x38 x80 x82)x74 x81x38 x80 x82 = x81x75 (x41 x80 x82) x81(x80 = x50 x82False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x75 (x42 x80 x81) x81False)(x2 (x42 x80 x81) (x76 x80)False)(x2 (x38 x80 x81) (x76 x80)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x75 (x42 x80 x81) x81False)(x2 (x42 x80 x81) (x76 x80)False)(x2 (x41 x80 x81) (x76 x80)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x64 (x42 x80 x81)False)(x2 (x42 x80 x81) (x76 x80)False)(x75 (x41 x80 x81) (x40 x80 x81)False)(x39 x80 (x41 x80 x81) (x38 x80 x81)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x64 (x42 x80 x81)False)(x2 (x42 x80 x81) (x76 x80)False)(x38 x80 x81 = x40 x80 x81False)(x39 x80 (x41 x80 x81) (x38 x80 x81)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x64 (x42 x80 x81)False)(x2 (x42 x80 x81) (x76 x80)False)(x74 (x40 x80 x81)False)(x39 x80 (x41 x80 x81) (x38 x80 x81)False)(x80 = x50 x81False)False)(∀ x80 x81 x82 . x74 x82(x77 x80False)x64 x80x74 x80(x64 (x42 x80 x82)False)(x2 (x42 x80 x82) (x76 x80)False)x39 x80 (x41 x80 x82) (x38 x80 x82)x74 x81x38 x80 x82 = x81x75 (x41 x80 x82) x81(x80 = x50 x82False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x64 (x42 x80 x81)False)(x2 (x42 x80 x81) (x76 x80)False)(x2 (x38 x80 x81) (x76 x80)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80(x64 (x42 x80 x81)False)(x2 (x42 x80 x81) (x76 x80)False)(x2 (x41 x80 x81) (x76 x80)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80x2 (x42 x80 x81) (x76 x80)x64 (x42 x80 x81)x75 (x42 x80 x81) x81(x75 (x41 x80 x81) (x40 x80 x81)False)(x39 x80 (x41 x80 x81) (x38 x80 x81)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80x2 (x42 x80 x81) (x76 x80)x64 (x42 x80 x81)x75 (x42 x80 x81) x81(x38 x80 x81 = x40 x80 x81False)(x39 x80 (x41 x80 x81) (x38 x80 x81)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80x2 (x42 x80 x81) (x76 x80)x64 (x42 x80 x81)x75 (x42 x80 x81) x81(x74 (x40 x80 x81)False)(x39 x80 (x41 x80 x81) (x38 x80 x81)False)(x80 = x50 x81False)False)(∀ x80 x81 x82 . x74 x82(x77 x80False)x64 x80x74 x80x2 (x42 x80 x82) (x76 x80)x64 (x42 x80 x82)x75 (x42 x80 x82) x82x39 x80 (x41 x80 x82) (x38 x80 x82)x74 x81x38 x80 x82 = x81x75 (x41 x80 x82) x81(x80 = x50 x82False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80x2 (x42 x80 x81) (x76 x80)x64 (x42 x80 x81)x75 (x42 x80 x81) x81(x2 (x38 x80 x81) (x76 x80)False)(x80 = x50 x81False)False)(∀ x80 x81 . x74 x81(x77 x80False)x64 x80x74 x80x2 (x42 x80 x81) (x76 x80)x64 (x42 x80 x81)x75 (x42 x80 x81) x81(x2 (x41 x80 x81) (x76 x80)False)(x80 = x50 x81False)False)(∀ x80 x81 x82 x83 x84 . x74 x84(x77 x80False)x64 x80x74 x80x80 = x50 x84x2 x81 (x76 x80)x2 x83 (x76 x80)x74 x82x83 = x82x75 x81 x82(x39 x80 x81 x83False)False)(∀ x80 x81 x82 x83 . x74 x83(x77 x80False)x64 x80x74 x80x80 = x50 x83x2 x81 (x76 x80)x2 x82 (x76 x80)x39 x80 x81 x82(x75 x81 (x24 x82 x81 x80 x83)False)False)(∀ x80 x81 x82 x83 . x74 x83(x77 x80False)x64 x80x74 x80x80 = x50 x83x2 x81 (x76 x80)x2 x82 (x76 x80)x39 x80 x81 x82(x82 = x24 x82 x81 x80 x83False)False)(∀ x80 x81 x82 x83 . x74 x83(x77 x80False)x64 x80x74 x80x80 = x50 x83x2 x81 (x76 x80)x2 x82 (x76 x80)x39 x80 x81 x82(x74 (x24 x82 x81 x80 x83)False)False)(∀ x80 x81 x82 . x74 x82(x77 x80False)x64 x80x74 x80x80 = x50 x82x64 x81x75 x81 x82(x2 x81 (x76 x80)False)False)(∀ x80 x81 x82 . x74 x82(x77 x80False)x64 x80x74 x80x80 = x50 x82x2 x81 (x76 x80)(x75 x81 x82False)False)(∀ x80 x81 x82 . x74 x82(x77 x80False)x64 x80x74 x80x80 = x50 x82x2 x81 (x76 x80)(x64 x81False)False)(∀ x80 x81 . (x77 x81False)x74 x81x75 x80 x81x43 x80 x81(x25 x80 x81False)False)(∀ x80 . x8 x80x14 x80 x78(x77 x80False)False)(∀ x80 x81 . x71 x81x2 x80 (x1 x81)(x71 x80False)False)(∀ x80 x81 . x48 x81x74 x81x75 x80 x81x5 x80 x81(x5 x80 x81False)False)(∀ x80 x81 . x48 x81x74 x81x75 x80 x81x5 x80 x81(x48 x80False)False)(∀ x80 . x8 x80x77 x80(x14 x80 x78False)False)(∀ x80 x81 . x71 x81x2 x80 x81(x69 x80False)False)(∀ x80 x81 . x71 x81x2 x80 x81(x4 x80False)False)(∀ x80 x81 . x19 x81x74 x81x75 x80 x81x5 x80 x81(x5 x80 x81False)False)(∀ x80 x81 . x19 x81x74 x81x75 x80 x81x5 x80 x81(x19 x80False)False)(∀ x80 . x8 x80(x51 x80False)x58 x80False)(∀ x80 . x79 x80(x71 x80False)False)(∀ x80 x81 . x61 x81x74 x81x75 x80 x81x5 x80 x81(x5 x80 x81False)False)(∀ x80 x81 . x61 x81x74 x81x75 x80 x81x5 x80 x81(x61 x80False)False)(∀ x80 . x74 x80(x77 x80False)x58 x80x61 x80(x26 x80False)False)(∀ x80 . x74 x80(x77 x80False)x58 x80x61 x80(x61 x80False)False)(∀ x80 . x74 x80(x77 x80False)x58 x80x61 x80x77 x80False)(∀ x80 . x8 x80x58 x80(x51 x80False)False)(∀ x80 . x57 x80x4 x80x69 x80(x66 x80False)False)(∀ x80 . x57 x80x4 x80x69 x80(x69 x80False)False)(∀ x80 . x57 x80x4 x80x69 x80(x4 x80False)False)(∀ x80 . x74 x80x35 x80x36 x80(x37 x80False)False)(∀ x80 . x8 x80(x51 x80False)x51 x80False)(∀ x80 . x8 x80(x51 x80False)x77 x80False)(∀ x80 . x4 x80x69 x80(x66 x80False)(x69 x80False)False)(∀ x80 . x4 x80x69 x80(x66 x80False)(x4 x80False)False)(∀ x80 . x4 x80x69 x80(x66 x80False)x57 x80False)(∀ x80 . x74 x80x37 x80(x36 x80False)False)(∀ x80 . x74 x80x37 x80(x35 x80False)False)(∀ x80 . x8 x80x77 x80(x51 x80False)False)(∀ x80 . x8 x80x77 x80(x77 x80False)False)(∀ x80 x81 x82 . x79 x82x2 x80 (x1 (x53 x81 x82))(x79 x80False)False)(∀ x80 . x79 x80x4 x80x69 x80(x66 x80False)False)(∀ x80 . x79 x80x4 x80x69 x80(x69 x80False)False)(∀ x80 . x79 x80x4 x80x69 x80(x4 x80False)False)(∀ x80 . x74 x80(x77 x80False)x49 x80(x37 x80False)False)(∀ x80 . x74 x80(x77 x80False)x49 x80x77 x80False)(∀ x80 x81 x82 . x79 x82x2 x80 (x1 (x53 x82 x81))(x79 x80False)False)(∀ x80 x81 . x4 x81x69 x81x2 x80 (x1 x81)(x69 x80False)False)(∀ x80 . x4 x80x69 x80x79 x80(x17 x80False)False)(∀ x80 . x4 x80x69 x80x79 x80(x69 x80False)False)(∀ x80 . x4 x80x69 x80x79 x80(x4 x80False)False)(∀ x80 . x74 x80x14 x80 x72x61 x80(x49 x80False)False)(∀ x80 . x74 x80x14 x80 x72x61 x80(x48 x80False)False)(∀ x80 . x74 x80x14 x80 x72x61 x80(x19 x80False)False)(∀ x80 . x74 x80x14 x80 x72x61 x80(x61 x80False)False)(∀ x80 . x74 x80x14 x80 x72x61 x80(x14 x80 x72False)False)(∀ x80 x81 . (x77 x81False)x74 x81x75 x80 x81x43 x80 x81(x34 x80 x81False)False)(∀ x80 x81 . x61 x81x19 x81x48 x81x28 x81x27 x81x49 x81x74 x81x75 x80 x81x43 x80 x81x77 x80False)(∀ x80 . x8 x80(x58 x80False)x77 x80False)(∀ x80 x81 x82 . x2 x82 (x1 (x53 x80 x81))(x3 x82 x81False)False)(∀ x80 x81 x82 . x2 x82 (x1 (x53 x81 x80))(x67 x82 x81False)False)(∀ x80 . x74 x80x27 x80x77 x80False)(∀ x80 . x79 x80x4 x80x69 x80(x11 x80False)False)(∀ x80 . x79 x80x4 x80x69 x80(x69 x80False)False)(∀ x80 . x79 x80x4 x80x69 x80(x4 x80False)False)(∀ x80 . x4 x80x69 x80x17 x80(x29 x80False)False)(∀ x80 . x4 x80x69 x80x17 x80(x69 x80False)False)(∀ x80 . x4 x80x69 x80x17 x80(x4 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x36 x80x33 x80x32 x80(x49 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x36 x80x33 x80x32 x80(x48 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x36 x80x33 x80x32 x80(x19 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x36 x80x33 x80x32 x80(x61 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x36 x80x33 x80x32 x80x77 x80False)(∀ x80 . x74 x80(x77 x80False)x49 x80(x27 x80False)False)(∀ x80 . x74 x80(x77 x80False)x49 x80(x28 x80False)False)(∀ x80 . x74 x80(x77 x80False)x49 x80x77 x80False)(∀ x80 x81 . x74 x81x2 x80 (x1 (x76 x81))x79 x80(x62 x80 x81False)False)(∀ x80 x81 . x74 x81x2 x80 (x1 (x76 x81))x79 x80(x10 x80 x81False)False)(∀ x80 . x8 x80x77 x80(x58 x80False)False)(∀ x80 x81 x82 . x2 x82 (x1 (x53 x80 x81))(x4 x82False)False)(∀ x80 . x74 x80x28 x80x77 x80False)(∀ x80 . x79 x80(x69 x80False)False)(∀ x80 x81 . x71 x81x4 x80x3 x80 x81x69 x80(x17 x80False)False)(∀ x80 x81 . x71 x81x4 x80x3 x80 x81x69 x80(x69 x80False)False)(∀ x80 x81 . x71 x81x4 x80x3 x80 x81x69 x80(x4 x80False)False)(∀ x80 . x8 x80(x58 x80False)x77 x80False)(∀ x80 . x74 x80(x77 x80False)x61 x80x48 x80x36 x80x32 x80(x36 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x48 x80x36 x80x32 x80(x28 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x48 x80x36 x80x32 x80(x48 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x48 x80x36 x80x32 x80(x61 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x48 x80x36 x80x32 x80x77 x80False)(∀ x80 . x74 x80(x77 x80False)x61 x80x48 x80x32 x80(x27 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x48 x80x32 x80(x48 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x48 x80x32 x80(x61 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x48 x80x32 x80x77 x80False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x28 x80x35 x80x33 x80(x49 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x28 x80x35 x80x33 x80(x48 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x28 x80x35 x80x33 x80(x19 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x28 x80x35 x80x33 x80(x61 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x19 x80x48 x80x28 x80x35 x80x33 x80x77 x80False)(∀ x80 . x74 x80(x77 x80False)x61 x80x32 x80(x35 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x32 x80(x61 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x32 x80x77 x80False)(∀ x80 x81 . x19 x81x48 x81x27 x81x74 x81x75 x80 x81(x77 x80False)x5 x80 x81x25 x80 x81(x25 x80 x81False)False)(∀ x80 x81 . x19 x81x48 x81x27 x81x74 x81x75 x80 x81(x77 x80False)x5 x80 x81x25 x80 x81(x5 x80 x81False)False)(∀ x80 x81 . x19 x81x48 x81x27 x81x74 x81x75 x80 x81(x77 x80False)x5 x80 x81x25 x80 x81(x27 x80False)False)(∀ x80 x81 . x19 x81x48 x81x27 x81x74 x81x75 x80 x81(x77 x80False)x5 x80 x81x25 x80 x81x77 x80False)(∀ x80 . x74 x80(x77 x80False)x61 x80x49 x80(x32 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x49 x80(x33 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x49 x80(x61 x80False)False)(∀ x80 . x74 x80(x77 x80False)x61 x80x49 x80x77 x80False)(∀ x80 . x8 x80x14 x80 x72(x58 x80False)False)(∀ x80 . x8 x80x14 x80 x72x77 x80False)(∀ x80 . x74 x80x61 x80x28 x80x33 x80(x36 x80False)False)(∀ x80 . x74 x80x61 x80x28 x80x33 x80(x28 x80False)False)(∀ x80 . x74 x80x61 x80x28 x80x33 x80(x61 x80False)False)(∀ x80 . x8 x80(x77 x80False)x58 x80(x14 x80 x72False)False)(∀ x80 x81 . x0 x80 x81x0 x81 x80False)(∀ x80 . x74 x80x64 x80(x80 = x52 (x76 x80) (x45 x80)False)False)((x75 x30 x31False)(x2 x30 (x76 (x44 x31))False)False)((x43 x30 x31False)(x2 x30 (x76 (x44 x31))False)False)((x5 x30 x31False)(x2 x30 (x76 (x44 x31))False)False)((x64 x30False)(x2 x30 (x76 (x44 x31))False)False)(x2 x30 (x76 (x44 x31))x64 x30x5 x30 x31x43 x30 x31x75 x30 x31False)((x74 x31False)False)(x77 x31False)False (proof)