Search for blocks/addresses/...

Proofgold Signed Transaction

vin
PrPhD../09bb3..
PUZzJ../732aa..
vout
PrPhD../f6ed0.. 102.58 bars
TMdfa../d14d8.. ownership of c1dc4.. as prop with payaddr PrPhD.. rights free controlledby PrPhD.. upto 0
TMc3S../019c6.. ownership of 71dfa.. as prop with payaddr PrPhD.. rights free controlledby PrPhD.. upto 0
PUVcx../a6960.. doc published by PrPhD..
Definition FalseFalse := ∀ x0 : ο . x0
Definition notnot := λ x0 : ο . x0False
Theorem c1dc4.. : ∀ x0 : ι → ι → ο . ∀ x1 x2 x3 x4 : ι → ο . ∀ x5 : ι → ι → ι → ο . ∀ x6 : ι → ι → ι → ι . ∀ x7 : ι → ι . ∀ x8 : ι → ι → ι . ∀ x9 : ι → ι → ι → ι → ι . ∀ x10 : ι → ι → ο . ∀ x11 : ι → ι . ∀ x12 x13 x14 x15 : ι → ο . ∀ x16 : ι → ι → ο . ∀ x17 : ι → ι → ι → ι → ι . ∀ x18 : ι → ι . ∀ x19 : ι → ο . ∀ x20 . ∀ x21 : ι → ο . ∀ x22 . ∀ x23 : ι → ι → ο . ∀ x24 : ι → ι → ι . ∀ x25 . ∀ x26 : ι → ι → ι → ι → ι → ι . ∀ x27 : ι → ι → ι . ∀ x28 : ι → ι → ι → ι → ο . ∀ x29 : ι → ι → ι → ι . ∀ x30 x31 . ∀ x32 : ι → ι . ∀ x33 : ι → ι → ι . ∀ x34 x35 : ι → ι → ο . ∀ x36 x37 x38 x39 . ∀ x40 : ι → ι → ι → ι → ι . ∀ x41 : ι → ι → ι . ∀ x42 . ∀ x43 x44 : ι → ι . ∀ x45 . ∀ x46 : ι → ο . ∀ x47 . ∀ x48 : ι → ι . ∀ x49 x50 x51 : ι → ο . ∀ x52 : ι → ι → ι . ∀ x53 : ι → ι → ο . ∀ x54 x55 : ι → ι . ∀ x56 x57 : ι → ο . ∀ x58 . ∀ x59 : ι → ο . ∀ x60 . ∀ x61 : ι → ο . ∀ x62 . ∀ x63 : ι → ο . ∀ x64 : ι → ι . ∀ x65 : ι → ο . ∀ x66 x67 : ι → ι → ι . ∀ x68 : ι → ι → ι → ο . ∀ x69 . ∀ x70 : ι → ι → ι . ∀ x71 : ι → ι . ∀ x72 : ι → ι → ι . ∀ x73 : ι → ι → ι → ι . ∀ x74 : ι → ι . ∀ x75 . ∀ x76 : ι → ο . (∀ x77 x78 . x76 x78(x78 = x77False)x76 x77False)(∀ x77 x78 . x0 x77 x78x76 x78False)(∀ x77 . x76 x77(x77 = x75False)False)(∀ x77 x78 x79 x80 . (x1 x80False)(x15 x80False)x2 x80x14 x80x3 x80x13 x80x4 x80x12 x80(x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79x5 x78 x80 x79x10 x77 (x11 x80)(x9 (x7 x80) (x7 x79) x78 (x8 x80 x77) = x8 x79 (x9 (x11 x80) (x11 x79) (x6 x80 x79 x78) x77)False)False)(∀ x77 x78 x79 . x0 x77 x78x10 x78 (x74 x79)x76 x79False)(∀ x77 x78 x79 . x0 x78 x79x10 x79 (x74 x77)(x10 x78 x77False)False)(∀ x77 x78 x79 x80 . (x1 x80False)(x15 x80False)x2 x80x14 x80x3 x80x13 x80x4 x80x12 x80(x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79x5 x78 x80 x79x10 x77 (x11 (x71 x80))(x9 (x11 (x71 x80)) (x11 x79) (x6 (x71 x80) x79 (x73 x80 x79 x78)) x77 = x9 (x11 x80) (x11 x79) (x6 x80 x79 x78) (x72 x80 x77)False)False)(∀ x77 x78 . x16 x78 x77(x10 x78 (x74 x77)False)False)(∀ x77 x78 . x10 x78 (x74 x77)(x16 x78 x77False)False)(∀ x77 x78 . x10 x77 x78(x76 x78False)(x0 x77 x78False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x10 x77 (x11 (x71 x78))(x70 x78 (x8 (x71 x78) x77) = x8 x78 (x72 x78 x77)False)False)(∀ x77 x78 . x0 x78 x77(x10 x78 x77False)False)(x76 x69False)(∀ x77 . (x16 x77 x77False)False)(∀ x77 x78 x79 x80 . (x76 x80False)x65 x77x68 x77 x80 x79x10 x77 (x74 (x67 x80 x79))x10 x78 x80(x9 x80 x79 x77 x78 = x66 x77 x78False)False)(∀ x77 x78 x79 x80 . (x76 x80False)(x76 x77False)(x76 x79False)x65 x78x10 x78 (x74 (x67 (x67 x80 x77) x79))(x17 x80 x77 x79 x78 = x18 x78False)False)(∀ x77 . (x1 x77False)x63 x77x76 (x64 x77)False)(∀ x77 . (x1 x77False)x63 x77(x10 (x64 x77) (x74 (x11 x77))False)False)((x4 x62False)False)((x13 x62False)False)((x3 x62False)False)((x14 x62False)False)((x2 x62False)False)((x19 x62False)False)((x61 x62False)False)(x15 x62False)(x1 x62False)((x12 x62False)False)(x76 x60False)(x15 x20False)(x1 x20False)((x12 x20False)False)(x59 x58False)((x21 x58False)False)(∀ x77 . (x57 x77False)x63 x77x56 (x55 x77)False)(∀ x77 . (x57 x77False)x63 x77(x10 (x55 x77) (x74 (x11 x77))False)False)(∀ x77 . (x1 x77False)x63 x77(x56 (x54 x77)False)False)(∀ x77 . (x1 x77False)x63 x77x76 (x54 x77)False)(∀ x77 . (x1 x77False)x63 x77(x10 (x54 x77) (x74 (x11 x77))False)False)((x76 x22False)False)(∀ x77 x78 . (x53 (x52 x77 x78) x77False)False)(∀ x77 x78 . (x23 (x52 x78 x77) x77False)False)(∀ x77 x78 . (x51 (x52 x77 x78)False)False)(∀ x77 x78 . (x76 (x52 x77 x78)False)False)(∀ x77 x78 . (x10 (x52 x77 x78) (x74 (x67 x78 x77))False)False)(∀ x77 x78 . (x68 (x24 x77 x78) x78 x77False)False)(∀ x77 x78 . (x65 (x24 x77 x78)False)False)(∀ x77 x78 . (x53 (x24 x77 x78) x77False)False)(∀ x77 x78 . (x23 (x24 x78 x77) x77False)False)(∀ x77 x78 . (x51 (x24 x77 x78)False)False)(∀ x77 x78 . (x10 (x24 x77 x78) (x74 (x67 x78 x77))False)False)((x19 x25False)False)((x12 x25False)False)(∀ x77 x78 x79 x80 x81 x82 x83 x84 x85 x86 . x65 x86x68 x86 x77 x78x10 x86 (x74 (x67 x77 x78))x65 x79x68 x79 x77 x78x10 x79 (x74 (x67 x77 x78))x65 x85x10 x85 (x74 (x67 (x67 x77 x77) x77))x26 x78 x77 x86 x79 x85 = x26 x83 x80 x82 x81 x84(x85 = x84False)False)(∀ x77 x78 x79 x80 x81 x82 x83 x84 x85 x86 . x65 x86x68 x86 x77 x78x10 x86 (x74 (x67 x77 x78))x65 x79x68 x79 x77 x78x10 x79 (x74 (x67 x77 x78))x65 x85x10 x85 (x74 (x67 (x67 x77 x77) x77))x26 x78 x77 x86 x79 x85 = x26 x83 x80 x82 x84 x81(x79 = x84False)False)(∀ x77 x78 x79 x80 x81 x82 x83 x84 x85 x86 . x65 x86x68 x86 x77 x78x10 x86 (x74 (x67 x77 x78))x65 x79x68 x79 x77 x78x10 x79 (x74 (x67 x77 x78))x65 x85x10 x85 (x74 (x67 (x67 x77 x77) x77))x26 x78 x77 x86 x79 x85 = x26 x83 x80 x84 x82 x81(x86 = x84False)False)(∀ x77 x78 x79 x80 x81 x82 x83 x84 x85 x86 . x65 x86x68 x86 x77 x78x10 x86 (x74 (x67 x77 x78))x65 x79x68 x79 x77 x78x10 x79 (x74 (x67 x77 x78))x65 x85x10 x85 (x74 (x67 (x67 x77 x77) x77))x26 x78 x77 x86 x79 x85 = x26 x83 x84 x82 x81 x80(x77 = x84False)False)(∀ x77 x78 x79 x80 x81 x82 x83 x84 x85 x86 . x65 x86x68 x86 x77 x78x10 x86 (x74 (x67 x77 x78))x65 x79x68 x79 x77 x78x10 x79 (x74 (x67 x77 x78))x65 x85x10 x85 (x74 (x67 (x67 x77 x77) x77))x26 x78 x77 x86 x79 x85 = x26 x84 x80 x83 x82 x81(x78 = x84False)False)(∀ x77 . (x50 x77False)x63 x77x49 (x11 x77)False)(∀ x77 . x50 x77x63 x77(x49 (x11 x77)False)False)(∀ x77 . x57 x77x63 x77(x56 (x11 x77)False)False)(∀ x77 . (x57 x77False)x63 x77x56 (x11 x77)False)(∀ x77 . (x1 x77False)x63 x77x76 (x11 x77)False)(∀ x77 . (x59 x77False)x21 x77x56 (x7 x77)False)(∀ x77 . x59 x77x21 x77(x56 (x7 x77)False)False)((x76 x75False)False)(∀ x77 . x1 x77x63 x77(x76 (x11 x77)False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x4 (x71 x77)False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x13 (x71 x77)False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x3 (x71 x77)False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x14 (x71 x77)False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x2 (x71 x77)False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x19 (x71 x77)False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77x15 (x71 x77)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77x1 (x71 x77)False)(∀ x77 . (x15 x77False)x21 x77x76 (x7 x77)False)(∀ x77 . x15 x77x21 x77(x76 (x7 x77)False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78(x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x5 (x27 x77 x78) x78 x77False)False)(∀ x77 . (x10 (x48 x77) x77False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x12 x79x10 x77 (x11 x79)x10 x78 (x11 x79)(x28 (x29 x78 x77 x79) x79 x77 x78False)False)((x21 x47False)False)((x63 x30False)False)((x46 x45False)False)((x12 x31False)False)(∀ x77 . x46 x77(x10 (x44 x77) (x74 (x67 (x7 x77) (x11 x77)))False)False)(∀ x77 . x46 x77(x68 (x44 x77) (x7 x77) (x11 x77)False)False)(∀ x77 . x46 x77(x65 (x44 x77)False)False)(∀ x77 . x46 x77(x10 (x32 x77) (x74 (x67 (x7 x77) (x11 x77)))False)False)(∀ x77 . x46 x77(x68 (x32 x77) (x7 x77) (x11 x77)False)False)(∀ x77 . x46 x77(x65 (x32 x77)False)False)(∀ x77 . x12 x77(x10 (x43 x77) (x74 (x67 (x67 (x7 x77) (x7 x77)) (x7 x77)))False)False)(∀ x77 . x12 x77(x65 (x43 x77)False)False)((x76 x42False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79(x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x5 x77 x79 x78(x10 x77 (x74 (x67 (x7 x79) (x7 x78)))False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79(x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x5 x77 x79 x78(x68 x77 (x7 x79) (x7 x78)False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79(x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x5 x77 x79 x78(x65 x77False)False)(∀ x77 x78 x79 x80 . (x1 x80False)(x15 x80False)x12 x80x10 x77 (x11 x80)x10 x79 (x11 x80)x28 x78 x80 x77 x79(x10 x78 (x7 x80)False)False)(∀ x77 . x21 x77(x63 x77False)False)(∀ x77 . x46 x77(x21 x77False)False)(∀ x77 . x12 x77(x46 x77False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79(x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x65 x77x68 x77 (x7 x79) (x7 x78)x10 x77 (x74 (x67 (x7 x79) (x7 x78)))(x10 (x6 x79 x78 x77) (x74 (x67 (x11 x79) (x11 x78)))False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79(x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x65 x77x68 x77 (x7 x79) (x7 x78)x10 x77 (x74 (x67 (x7 x79) (x7 x78)))(x68 (x6 x79 x78 x77) (x11 x79) (x11 x78)False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79(x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x65 x77x68 x77 (x7 x79) (x7 x78)x10 x77 (x74 (x67 (x7 x79) (x7 x78)))(x65 (x6 x79 x78 x77)False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x10 x77 (x7 (x71 x78))(x10 (x70 x78 x77) (x7 x78)False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x10 x77 (x7 x78)(x10 (x41 x78 x77) (x7 (x71 x78))False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x10 x77 (x11 (x71 x78))(x10 (x72 x78 x77) (x11 x78)False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x13 x78x4 x78x12 x78x10 x77 (x11 x78)(x28 (x8 x78 x77) x78 x77 x77False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x10 x77 (x11 x78)(x10 (x33 x78 x77) (x11 (x71 x78))False)False)(∀ x77 x78 x79 x80 . (x76 x80False)x65 x77x68 x77 x80 x79x10 x77 (x74 (x67 x80 x79))x10 x78 x80(x10 (x9 x80 x79 x77 x78) x79False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x12 (x71 x77)False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x19 (x71 x77)False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77x15 (x71 x77)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77x1 (x71 x77)False)(∀ x77 . x51 x77x65 x77(x65 (x18 x77)False)False)(∀ x77 . x51 x77x65 x77(x51 (x18 x77)False)False)(∀ x77 x78 x79 x80 . (x76 x80False)(x76 x77False)(x76 x79False)x65 x78x10 x78 (x74 (x67 (x67 x80 x77) x79))(x10 (x17 x80 x77 x79 x78) (x74 (x67 (x67 x77 x80) x79))False)False)(∀ x77 x78 x79 x80 . (x76 x80False)(x76 x77False)(x76 x79False)x65 x78x10 x78 (x74 (x67 (x67 x80 x77) x79))(x65 (x17 x80 x77 x79 x78)False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79(x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x65 x77x68 x77 (x7 x79) (x7 x78)x10 x77 (x74 (x67 (x7 x79) (x7 x78)))(x10 (x73 x79 x78 x77) (x74 (x67 (x7 (x71 x79)) (x7 x78)))False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79(x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x65 x77x68 x77 (x7 x79) (x7 x78)x10 x77 (x74 (x67 (x7 x79) (x7 x78)))(x68 (x73 x79 x78 x77) (x7 (x71 x79)) (x7 x78)False)False)(∀ x77 x78 x79 . (x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79(x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x65 x77x68 x77 (x7 x79) (x7 x78)x10 x77 (x74 (x67 (x7 x79) (x7 x78)))(x65 (x73 x79 x78 x77)False)False)(∀ x77 x78 x79 x80 x81 . x65 x81x68 x81 x77 x78x10 x81 (x74 (x67 x77 x78))x65 x79x68 x79 x77 x78x10 x79 (x74 (x67 x77 x78))x65 x80x10 x80 (x74 (x67 (x67 x77 x77) x77))(x12 (x26 x78 x77 x81 x79 x80)False)False)(∀ x77 x78 x79 x80 x81 . x65 x81x68 x81 x77 x78x10 x81 (x74 (x67 x77 x78))x65 x79x68 x79 x77 x78x10 x79 (x74 (x67 x77 x78))x65 x80x10 x80 (x74 (x67 (x67 x77 x77) x77))(x19 (x26 x78 x77 x81 x79 x80)False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x10 x77 (x7 (x71 x78))(x70 x78 x77 = x41 (x71 x78) x77False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x10 x77 (x7 x78)(x41 x78 x77 = x77False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x10 x77 (x11 (x71 x78))(x72 x78 x77 = x33 (x71 x78) x77False)False)((x75 = x42False)False)(∀ x77 x78 . (x1 x78False)(x15 x78False)x2 x78x14 x78x3 x78x13 x78x4 x78x12 x78x10 x77 (x11 x78)(x33 x78 x77 = x77False)False)(∀ x77 . (x1 x77False)(x15 x77False)x2 x77x14 x77x3 x77x13 x77x4 x77x12 x77(x71 x77 = x26 (x11 x77) (x7 x77) (x44 x77) (x32 x77) (x17 (x7 x77) (x7 x77) (x7 x77) (x43 x77))False)False)(∀ x77 x78 x79 x80 . (x1 x80False)(x15 x80False)x2 x80x14 x80x3 x80x13 x80x4 x80x12 x80(x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79x65 x78x68 x78 (x7 x80) (x7 x79)x10 x78 (x74 (x67 (x7 x80) (x7 x79)))x65 x77x68 x77 (x7 (x71 x80)) (x7 x79)x10 x77 (x74 (x67 (x7 (x71 x80)) (x7 x79)))x9 (x7 (x71 x80)) (x7 x79) x77 (x40 x77 x78 x79 x80) = x9 (x7 x80) (x7 x79) x78 (x70 x80 (x40 x77 x78 x79 x80))(x77 = x73 x80 x79 x78False)False)(∀ x77 x78 x79 x80 . (x1 x80False)(x15 x80False)x2 x80x14 x80x3 x80x13 x80x4 x80x12 x80(x1 x79False)(x15 x79False)x2 x79x14 x79x3 x79x13 x79x4 x79x12 x79x65 x78x68 x78 (x7 x80) (x7 x79)x10 x78 (x74 (x67 (x7 x80) (x7 x79)))x65 x77x68 x77 (x7 (x71 x80)) (x7 x79)x10 x77 (x74 (x67 (x7 (x71 x80)) (x7 x79)))(x10 (x40 x77 x78 x79 x80) (x7 (x71 x80))False)(x77 = x73 x80 x79 x78False)False)(∀ x77 x78 x79 x80 x81 . (x1 x81False)(x15 x81False)x2 x81x14 x81x3 x81x13 x81x4 x81x12 x81(x1 x80False)(x15 x80False)x2 x80x14 x80x3 x80x13 x80x4 x80x12 x80x65 x79x68 x79 (x7 x81) (x7 x80)x10 x79 (x74 (x67 (x7 x81) (x7 x80)))x65 x77x68 x77 (x7 (x71 x81)) (x7 x80)x10 x77 (x74 (x67 (x7 (x71 x81)) (x7 x80)))x77 = x73 x81 x80 x79x10 x78 (x7 (x71 x81))(x9 (x7 (x71 x81)) (x7 x80) x77 x78 = x9 (x7 x81) (x7 x80) x79 (x70 x81 x78)False)False)(∀ x77 . x63 x77x34 x77 x75(x1 x77False)False)(∀ x77 . x63 x77x1 x77(x34 x77 x75False)False)(∀ x77 x78 x79 . (x76 x79False)(x76 x77False)x10 x78 (x74 (x67 x79 x77))x65 x78x68 x78 x79 x77(x68 x78 x79 x77False)False)(∀ x77 x78 x79 . (x76 x79False)(x76 x77False)x10 x78 (x74 (x67 x79 x77))x65 x78x68 x78 x79 x77x76 x78False)(∀ x77 x78 x79 . (x76 x79False)(x76 x77False)x10 x78 (x74 (x67 x79 x77))x65 x78x68 x78 x79 x77(x65 x78False)False)(∀ x77 . x63 x77(x50 x77False)x57 x77False)(∀ x77 . x63 x77x57 x77(x50 x77False)False)(∀ x77 . x63 x77(x50 x77False)x50 x77False)(∀ x77 . x63 x77(x50 x77False)x1 x77False)(∀ x77 . x63 x77x1 x77(x50 x77False)False)(∀ x77 . x63 x77x1 x77(x1 x77False)False)(∀ x77 x78 x79 . x76 x79x10 x77 (x74 (x67 x78 x79))(x76 x77False)False)(∀ x77 x78 . x10 x78 (x74 (x67 x77 x77))x68 x78 x77 x77(x35 x78 x77False)False)(∀ x77 x78 x79 . x76 x79x10 x77 (x74 (x67 x79 x78))(x76 x77False)False)(∀ x77 x78 x79 . (x76 x79False)x10 x77 (x74 (x67 x78 x79))x68 x77 x78 x79(x35 x77 x78False)False)(∀ x77 . x63 x77(x57 x77False)x1 x77False)(∀ x77 x78 x79 . x10 x79 (x74 (x67 x77 x78))(x53 x79 x78False)False)(∀ x77 x78 x79 . x10 x79 (x74 (x67 x78 x77))(x23 x79 x78False)False)(∀ x77 x78 x79 . x76 x79x10 x77 (x74 (x67 x79 x78))x68 x77 x79 x78(x35 x77 x79False)False)(∀ x77 . x12 x77(x1 x77False)(x15 x77False)x59 x77(x4 x77False)False)(∀ x77 . x12 x77(x1 x77False)(x15 x77False)x59 x77(x3 x77False)False)(∀ x77 . x12 x77(x1 x77False)(x15 x77False)x59 x77x15 x77False)(∀ x77 . x12 x77(x1 x77False)(x15 x77False)x59 x77x1 x77False)(∀ x77 . x63 x77x1 x77(x57 x77False)False)(∀ x77 x78 x79 . x10 x79 (x74 (x67 x77 x78))(x51 x79False)False)(∀ x77 x78 x79 . x10 x78 (x74 (x67 x79 x77))x35 x78 x79(x68 x78 x79 x77False)False)(∀ x77 . x12 x77(x1 x77False)x57 x77(x15 x77False)(x13 x77False)False)(∀ x77 . x12 x77(x1 x77False)x57 x77(x15 x77False)(x14 x77False)False)(∀ x77 . x12 x77(x1 x77False)x57 x77(x15 x77False)x15 x77False)(∀ x77 . x12 x77(x1 x77False)x57 x77(x15 x77False)x1 x77False)(∀ x77 . x63 x77(x57 x77False)x1 x77False)(∀ x77 . x21 x77x15 x77(x59 x77False)False)(∀ x77 . x21 x77(x15 x77False)x61 x77x1 x77False)(∀ x77 . x21 x77x1 x77x61 x77(x15 x77False)False)(∀ x77 . x21 x77x15 x77(x61 x77False)False)(∀ x77 . x21 x77(x1 x77False)(x61 x77False)False)(∀ x77 . x63 x77x34 x77 x69(x57 x77False)False)(∀ x77 . x63 x77x34 x77 x69x1 x77False)(∀ x77 . x63 x77(x1 x77False)x57 x77(x34 x77 x69False)False)(∀ x77 x78 . x0 x77 x78x0 x78 x77False)(∀ x77 . x12 x77x19 x77(x77 = x26 (x11 x77) (x7 x77) (x32 x77) (x44 x77) (x43 x77)False)False)(x9 (x7 (x71 x39)) (x7 x36) (x73 x39 x36 x37) (x8 (x71 x39) x38) = x8 x36 (x9 (x11 (x71 x39)) (x11 x36) (x6 (x71 x39) x36 (x73 x39 x36 x37)) x38)False)((x10 x38 (x11 (x71 x39))False)False)((x5 x37 x39 x36False)False)((x12 x36False)False)((x4 x36False)False)((x13 x36False)False)((x3 x36False)False)((x14 x36False)False)((x2 x36False)False)(x15 x36False)(x1 x36False)((x12 x39False)False)((x4 x39False)False)((x13 x39False)False)((x3 x39False)False)((x14 x39False)False)((x2 x39False)False)(x15 x39False)(x1 x39False)False (proof)