| ∀ x0 x1 x2 : ι → ι → ο . ∀ x3 x4 x5 x6 x7 . ∀ x8 x9 : ι → ι . ∀ x10 x11 x12 : ι → ι → ι . ∀ x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 : ι → ο . (∀ x24 . iff (x19 x24) (and (x13 x24) (not (x14 x24)))) ⟶ (∀ x24 . iff (x23 x24) (and (x17 x24) (not (x18 x24)))) ⟶ (∀ x24 x25 . x1 x24 x25 ⟶ x1 x25 x24 ⟶ x24 = x25) ⟶ (∀ x24 . iff (x0 x24 x4) (x24 = x3)) ⟶ (∀ x24 x25 x26 . iff (x0 x26 (x12 x24 x25)) (and (x0 x26 x24) (not (x0 x26 x25)))) ⟶ (∀ x24 . x0 x24 x6 ⟶ or (or (x24 = x3) (x24 = x4)) (x24 = x5)) ⟶ x0 x3 x7 ⟶ (∀ x24 . x0 x3 (x8 x24)) ⟶ (∀ x24 x25 x26 . x10 x24 (x10 x25 x26) = x10 (x10 x24 x25) x26) ⟶ (∀ x24 x25 . x0 x24 x25 ⟶ x13 (x8 x25)) ⟶ (∀ x24 x25 . not (x0 x25 x24) ⟶ x13 x24 ⟶ x14 (x10 x24 (x9 x25))) ⟶ (∀ x24 x25 . x0 x25 x24 ⟶ x1 (x9 x25) x24) ⟶ (∀ x24 x25 . x0 x25 x24 ⟶ x21 x24 ⟶ x20 (x12 x24 (x9 x25))) ⟶ (∀ x24 x25 x26 . x1 x26 (x10 x24 x25) ⟶ ∀ x27 . x0 x27 x24 ⟶ not (x0 x27 x26) ⟶ x15 x26 ⟶ or (x14 x24) (x14 x25)) ⟶ not (x0 x5 x3) ⟶ not (x0 x6 x6) ⟶ (∀ x24 . x1 x24 x5 ⟶ not (x0 x3 x24) ⟶ x0 x4 x24 ⟶ x24 = x9 x4) ⟶ x0 x4 (x12 (x8 x5) (x8 (x9 x5))) ⟶ not (x3 = x12 x6 (x9 x4)) ⟶ x0 (x9 x4) (x12 (x8 x5) (x9 x5)) ⟶ not (x4 = x12 x6 (x9 x4)) ⟶ not (x0 x4 (x12 x6 (x9 x4))) ⟶ not (x1 (x9 x5) x5) ⟶ not (x9 x4 = x12 (x8 x5) x5) ⟶ (∀ x24 . x0 x24 (x9 (x9 x4)) ⟶ x24 = x9 x4) ⟶ not (x5 = x8 (x9 x4)) ⟶ not (x9 (x9 x4) = x8 (x9 x4)) ⟶ (∀ x24 . x1 x24 (x8 (x9 x4)) ⟶ not (x0 (x9 x4) x24) ⟶ not (x0 x3 x24) ⟶ x24 = x3) ⟶ (∀ x24 . x1 x24 (x8 (x9 x4)) ⟶ x0 (x9 x4) x24 ⟶ or (or (or (x24 = x3) (x24 = x4)) (x24 = x9 (x9 x4))) (x24 = x8 (x9 x4))) ⟶ not (x0 (x12 (x8 x5) (x8 (x9 x5))) (x12 (x8 x5) (x9 x5))) ⟶ not (x5 = x9 x5) ⟶ not (x1 (x12 x6 (x9 x4)) (x9 x5)) ⟶ x0 x3 (x8 (x9 (x9 x4))) ⟶ not (x0 (x9 x4) (x9 (x10 (x9 x4) (x9 (x9 x4))))) ⟶ x0 (x9 (x9 x4)) (x8 (x10 (x9 x4) (x9 (x9 x4)))) ⟶ x0 (x9 x4) (x10 (x10 (x9 x4) (x9 (x9 x4))) (x8 (x9 (x9 x4)))) ⟶ x0 x4 (x10 (x12 (x8 x5) (x8 (x9 x5))) (x9 (x9 (x9 x4)))) ⟶ not (x0 (x12 x6 (x9 x4)) (x9 (x9 x5))) ⟶ not (x0 x6 (x10 (x8 x5) (x9 (x9 x5)))) ⟶ x0 x3 (x10 x6 (x9 (x9 x5))) ⟶ x0 (x12 x6 (x9 x4)) (x8 (x12 x6 (x9 x4))) ⟶ x2 x5 (x10 (x9 (x9 x4)) (x9 x6)) ⟶ x0 x4 (x12 x7 (x8 (x9 x5))) ⟶ x0 x3 (x10 (x8 (x9 x5)) (x9 x6)) ⟶ x0 x5 (x10 (x12 (x8 x5) (x8 (x9 x4))) (x10 (x9 (x9 x5)) (x9 (x8 x5)))) ⟶ x0 x5 (x10 (x12 (x8 x5) (x8 (x9 x5))) (x10 (x8 (x9 x5)) (x9 (x8 x5)))) ⟶ x0 x4 (x10 (x9 (x9 x5)) (x10 x7 (x9 (x8 x5)))) ⟶ x0 x6 (x10 (x9 (x9 x5)) (x10 x7 (x9 (x8 x5)))) ⟶ (∀ x24 . x0 x24 x7 ⟶ not (x24 = x5) ⟶ or (or (x24 = x3) (x24 = x4)) (x24 = x6)) ⟶ x1 (x8 x5) (x10 (x8 x5) (x9 (x8 x5))) ⟶ x12 x6 (x9 x5) = x5 ⟶ x12 (x12 (x8 x5) (x9 x5)) (x9 x3) = x10 (x9 x4) (x9 (x9 x4)) ⟶ x1 (x8 (x9 x4)) (x12 (x12 (x8 x5) (x9 x5)) (x9 x4)) ⟶ x12 (x12 (x8 x5) (x9 x5)) (x9 x4) = x8 (x9 x4) ⟶ x1 (x9 x4) (x12 (x12 (x8 x5) (x8 (x9 x4))) (x9 x5)) ⟶ (∀ x24 . x0 x24 (x12 (x8 (x10 (x9 x4) (x9 (x9 x4)))) (x9 (x10 (x9 x4) (x9 (x9 x4))))) ⟶ not (x24 = x9 (x9 x4)) ⟶ x0 x24 (x8 (x9 x4))) ⟶ (∀ x24 . x0 x24 (x10 (x12 (x8 x5) (x8 (x9 x5))) (x8 (x9 (x9 x4)))) ⟶ not (x24 = x9 x4) ⟶ x0 x24 (x10 (x12 (x8 x5) (x8 (x9 x4))) (x8 (x9 (x9 x4))))) ⟶ (∀ x24 . x0 x24 (x12 x7 x5) ⟶ not (x24 = x6) ⟶ x0 x24 (x9 x5)) ⟶ (∀ x24 . x0 x24 (x12 x7 (x9 x4)) ⟶ not (x24 = x5) ⟶ x0 x24 (x10 x4 (x9 x6))) ⟶ (∀ x24 . x0 x24 (x12 x7 (x8 (x9 x5))) ⟶ not (x24 = x5) ⟶ x0 x24 (x10 (x9 x4) (x9 x6))) ⟶ x11 (x10 (x9 (x9 x4)) (x10 (x9 (x9 x5)) x7)) (x10 x7 (x9 (x12 (x8 x5) x5))) = x7 ⟶ x1 (x11 (x10 x7 (x9 (x8 x5))) (x10 (x9 x5) (x8 (x9 x5)))) (x12 x6 (x9 x4)) ⟶ not (x15 (x10 (x9 (x9 (x9 x4))) (x10 x4 (x9 (x8 x5))))) ⟶ not (x16 (x10 (x10 (x9 x4) (x9 (x9 x4))) (x8 (x9 (x9 x4))))) ⟶ not (x17 (x10 (x12 (x8 x5) (x8 (x9 x5))) (x8 (x9 (x9 x4))))) ⟶ x13 (x12 (x8 x5) x5) ⟶ x14 (x12 x7 (x9 x5)) ⟶ x16 (x10 (x9 (x9 (x9 x4))) x7) ⟶ x16 (x10 x7 (x9 (x12 (x8 x5) x5))) ⟶ x17 (x10 (x9 (x9 x4)) (x10 (x9 (x9 x5)) x7)) ⟶ x21 (x10 x6 (x9 (x9 x5))) ⟶ x21 x7 ⟶ x21 (x10 (x12 (x8 x5) x5) (x8 (x9 x5))) ⟶ x22 (x10 (x9 (x9 x5)) x7) ⟶ x1 (x12 (x11 (x10 (x10 (x9 x4) (x9 (x9 x4))) (x10 (x8 (x9 x5)) (x9 x6))) (x10 (x9 (x9 x5)) x7)) (x9 x6)) (x10 (x9 x4) (x8 (x9 x5))) ⟶ x1 (x12 (x11 (x10 (x12 (x8 x5) (x8 (x9 x5))) (x10 (x8 (x9 x5)) (x9 (x8 x5)))) (x10 (x9 (x9 x5)) (x10 x7 (x9 (x8 x5))))) (x9 (x8 x5))) (x10 x6 (x9 (x9 x5))) ⟶ (∀ x24 . x0 x24 (x10 (x8 (x9 x5)) (x9 (x8 x5))) ⟶ not (x16 (x12 (x11 (x10 (x12 (x8 x5) (x8 (x9 x5))) (x10 (x8 (x9 x5)) (x9 (x8 x5)))) (x10 (x9 (x9 x5)) (x10 x7 (x9 (x8 x5))))) (x9 x24)))) ⟶ not (x0 x5 x5) |
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