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