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