| ∀ 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 ⟶ x0 x3 ⟶ x0 x4 ⟶ x0 x5 ⟶ x1 x2 ⟶ x1 x3 ⟶ x1 x4 ⟶ x1 x5 ⟶ (x2 = x3 ⟶ ∀ x8 : ο . x8) ⟶ (x2 = x4 ⟶ ∀ x8 : ο . x8) ⟶ (x2 = x5 ⟶ ∀ x8 : ο . x8) ⟶ (x2 = x6 ⟶ ∀ x8 : ο . x8) ⟶ (x2 = x7 ⟶ ∀ x8 : ο . x8) ⟶ ∀ x8 : ι → ι → ι → ι → ο . (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x3 x10 x2)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x4 x10 x2)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x5 x10 x2)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x6 x10 x2)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x7 x10 x2)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x6 x10 x3)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x7 x10 x3)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x6 x10 x4)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x7 x10 x4)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x6 x10 x5)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x7 x10 x5)) ⟶ (∀ x9 . x0 x9 ⟶ ∀ x10 . x0 x10 ⟶ not (x8 x9 x7 x10 x6)) ⟶ ∀ x9 : ι → ι → ι → ι → ο . (∀ x10 x11 x12 x13 . x0 x10 ⟶ x0 x11 ⟶ x0 x12 ⟶ x0 x13 ⟶ ∀ x14 : ο . (x8 x10 x11 x12 x13 ⟶ x14) ⟶ (x9 x10 x11 x12 x13 ⟶ x14) ⟶ (x8 x12 x13 x10 x11 ⟶ x14) ⟶ x14) ⟶ (∀ x10 x11 x12 x13 . x0 x10 ⟶ x0 x11 ⟶ x0 x12 ⟶ x0 x13 ⟶ x9 x10 x11 x12 x13 ⟶ x9 x12 x13 x10 x11) ⟶ ∀ x10 x11 x12 : ι → ι → ι . (∀ x13 . x0 x13 ⟶ ∀ x14 . x0 x14 ⟶ x0 (x10 x13 x14)) ⟶ (∀ x13 . x0 x13 ⟶ ∀ x14 . x1 x14 ⟶ x1 (x10 x13 x14)) ⟶ (∀ x13 . x0 x13 ⟶ ∀ x14 . x0 x14 ⟶ x10 x13 (x10 x13 x14) = x14) ⟶ (∀ x13 . x0 x13 ⟶ x10 x13 x2 = x3) ⟶ (∀ x13 . x0 x13 ⟶ ∀ x14 . x0 x14 ⟶ x0 (x11 x13 x14)) ⟶ (∀ x13 . x0 x13 ⟶ ∀ x14 . x1 x14 ⟶ x1 (x11 x13 x14)) ⟶ (∀ x13 . x0 x13 ⟶ ∀ x14 . x0 x14 ⟶ x11 x13 (x11 x13 x14) = x14) ⟶ (∀ x13 . x0 x13 ⟶ x11 x13 x2 = x4) ⟶ (∀ x13 . x0 x13 ⟶ ∀ x14 . x0 x14 ⟶ x0 (x12 x13 x14)) ⟶ (∀ x13 . x0 x13 ⟶ ∀ x14 . x1 x14 ⟶ x1 (x12 x13 x14)) ⟶ (∀ x13 . x0 x13 ⟶ ∀ x14 . x0 x14 ⟶ x12 x13 (x12 x13 x14) = x14) ⟶ (∀ x13 . x0 x13 ⟶ x12 x13 x2 = x5) ⟶ (∀ x13 x14 x15 x16 . x0 x13 ⟶ x0 x14 ⟶ x0 x15 ⟶ x0 x16 ⟶ not (x9 x13 x14 x15 x16) ⟶ not (x9 x13 (x10 x13 x14) x15 (x10 x15 x16))) ⟶ (∀ x13 x14 x15 x16 . x0 x13 ⟶ x0 x14 ⟶ x0 x15 ⟶ x0 x16 ⟶ not (x9 x13 x14 x15 x16) ⟶ not (x9 x13 (x11 x13 x14) x15 (x11 x15 x16))) ⟶ (∀ x13 x14 x15 x16 . x0 x13 ⟶ x0 x14 ⟶ x0 x15 ⟶ x0 x16 ⟶ not (x9 x13 x14 x15 x16) ⟶ not (x9 x13 (x12 x13 x14) x15 (x12 x15 x16))) ⟶ ∀ x13 . x1 x13 ⟶ ∀ x14 . x0 x14 ⟶ ∀ x15 . x0 x15 ⟶ ∀ x16 . x0 x16 ⟶ x1 x16 ⟶ ∀ x17 . x0 x17 ⟶ ∀ x18 . x0 x18 ⟶ ∀ x19 . x0 x19 ⟶ ∀ x20 . x0 x20 ⟶ ∀ x21 . x0 x21 ⟶ ∀ x22 . x0 x22 ⟶ ∀ x23 . x0 x23 ⟶ ∀ x24 . x0 x24 ⟶ not (x9 x14 x13 x15 x16) ⟶ not (x9 x14 x13 x17 x18) ⟶ not (x9 x14 x13 x19 x20) ⟶ not (x9 x14 x13 x21 x22) ⟶ not (x9 x14 x13 x23 x24) ⟶ not (x9 x15 x16 x17 x18) ⟶ not (x9 x15 x16 x19 x20) ⟶ not (x9 x15 x16 x21 x22) ⟶ not (x9 x15 x16 x23 x24) ⟶ not (x9 x17 x18 x19 x20) ⟶ not (x9 x17 x18 x21 x22) ⟶ not (x9 x17 x18 x23 x24) ⟶ not (x9 x19 x20 x21 x22) ⟶ not (x9 x19 x20 x23 x24) ⟶ not (x9 x21 x22 x23 x24) ⟶ ∀ x25 : ο . (∀ x26 . x0 x26 ⟶ ∀ x27 . x0 x27 ⟶ x1 x27 ⟶ ∀ x28 . x0 x28 ⟶ ∀ x29 . x0 x29 ⟶ ∀ x30 . x0 x30 ⟶ ∀ x31 . x0 x31 ⟶ ∀ x32 . x0 x32 ⟶ ∀ x33 . x0 x33 ⟶ ∀ x34 . x0 x34 ⟶ ∀ x35 . x0 x35 ⟶ ∀ x36 . x0 x36 ⟶ x8 x26 x2 x28 x27 ⟶ x8 x28 x27 x29 x30 ⟶ x8 x29 x30 x31 x32 ⟶ x8 x31 x32 x33 x34 ⟶ x8 x33 x34 x35 x36 ⟶ not (x9 x26 x2 x28 x27) ⟶ not (x9 x26 x2 x29 x30) ⟶ not (x9 x26 x2 x31 x32) ⟶ not (x9 x26 x2 x33 x34) ⟶ not (x9 x26 x2 x35 x36) ⟶ not (x9 x28 x27 x29 x30) ⟶ not (x9 x28 x27 x31 x32) ⟶ not (x9 x28 x27 x33 x34) ⟶ not (x9 x28 x27 x35 x36) ⟶ not (x9 x29 x30 x31 x32) ⟶ not (x9 x29 x30 x33 x34) ⟶ not (x9 x29 x30 x35 x36) ⟶ not (x9 x31 x32 x33 x34) ⟶ not (x9 x31 x32 x35 x36) ⟶ not (x9 x33 x34 x35 x36) ⟶ x25) ⟶ x25 |
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