Claim L0: ...

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Claim L1: ...

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Claim L2: ...

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Claim L3: ...

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Claim L4: ...

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Let x0 of type ι → ι be given.

Let x1 of type ι → ο be given.

Let x2 of type ι be given.

Let x3 of type ι → ι → ο be given.

Let x4 of type ι → ι → ι → ο be given.

Let x5 of type ι → ι → ι be given.

Let x6 of type ι → ο be given.

Let x7 of type ι be given.

Let x8 of type ι → ο be given.

Let x9 of type ι → ι → ι be given.

Let x10 of type ι be given.

Let x11 of type ι → ο be given.

Let x12 of type ι → ο be given.

Let x13 of type ι be given.

Let x14 of type ι → ι be given.

Let x15 of type ι be given.

Let x16 of type ι be given.

Let x17 of type ι → ο be given.

Let x18 of type ι → ο be given.

Let x19 of type ι → ο be given.

Let x20 of type ι → ο be given.

Let x21 of type ι → ο be given.

Let x22 of type ι be given.

Let x23 of type ι be given.

Let x24 of type ι → ο be given.

Let x25 of type ι → ο be given.

Let x26 of type ι be given.

Let x27 of type ι be given.

Let x28 of type ι be given.

Let x29 of type ι → ι → ο be given.

Let x30 of type ι → ι → ι be given.

Let x31 of type ι → ι be given.

Let x32 of type ι → ο be given.

Let x33 of type ι → ο be given.

Let x34 of type ι be given.

Let x35 of type ι be given.

Let x36 of type ι be given.

Let x37 of type ι be given.

Let x38 of type ι be given.

Let x39 of type ι be given.

Let x40 of type ι → ι → ο be given.

Let x41 of type ι be given.

Let x42 of type ι → ι → ι be given.

Let x43 of type ι be given.

Let x44 of type ι → ι → ο be given.

Let x45 of type ι → ι be given.

Let x46 of type ι → ο be given.

Let x47 of type ι → ο be given.

Let x48 of type ι be given.

Let x49 of type ι → ι → ι be given.

Let x50 of type ι → ι → ι be given.

Let x51 of type ι be given.

Let x52 of type ι → ι → ι be given.

Let x53 of type ι be given.

Assume H5: (x52 x53 x53 = x51 ⟶ False) ⟶ False.

Assume H6: (x52 (x0 x53) (x0 x53) = x51 ⟶ False) ⟶ False.

Assume H7: (x52 x51 x53 = x0 x53 ⟶ False) ⟶ False.

Assume H8: (x0 (x0 x53) = x53 ⟶ False) ⟶ False.

Assume H9: (x50 x53 (x0 x53) = x0 x53 ⟶ False) ⟶ False.

Assume H10: (x0 x53 = x0 x53 ⟶ False) ⟶ False.

Assume H11: (x49 x53 x53 = x53 ⟶ False) ⟶ False.

Assume H12: x1 x53 ⟶ False.

Assume H13: (x1 x51 ⟶ False) ⟶ False.

Assume H14: (x3 x53 x2 ⟶ False) ⟶ False.

Assume H15: (x3 x53 x48 ⟶ False) ⟶ False.

Assume H16: (x4 x53 x2 x48 ⟶ False) ⟶ False.

Assume H17: (x47 x53 ⟶ False) ⟶ False.

Assume H18: (x3 x51 x2 ⟶ False) ⟶ False.

Assume H19: (x3 x51 x48 ⟶ False) ⟶ False.

Assume H20: (x4 x51 x2 x48 ⟶ False) ⟶ False.

Assume H21: ∀ x54 x55 . x46 x55 ⟶ x46 x54 ⟶ (x50 x55 x54 = x49 x55 (x45 x54) ⟶ False) ⟶ False.

Assume H22: ∀ x54 x55 . x46 x55 ⟶ x46 x54 ⟶ (x52 x55 x54 = x5 x55 (x0 x54) ⟶ False) ⟶ False.

Assume H23: (x0 x51 = x51 ⟶ False) ⟶ False.

Assume H24: (x49 x53 x51 = x51 ⟶ False) ⟶ False.

Assume H25: (x49 x51 x53 = x51 ⟶ False) ⟶ False.

Assume H26: (x49 x51 x51 = x51 ⟶ False) ⟶ False.

Assume H27: (x50 (x0 x53) x53 = x0 x53 ⟶ False) ⟶ False.

Assume H28: (x50 x53 x53 = x53 ⟶ False) ⟶ False.

Assume H29: (x52 (x0 x53) x51 = x0 x53 ⟶ False) ⟶ False.

Assume H30: (x52 x53 x51 = x53 ⟶ False) ⟶ False.

Assume H31: (x52 x51 (x0 x53) = x53 ⟶ False) ⟶ False.

Assume H32: (x52 x51 x51 = x51 ⟶ False) ⟶ False.

Assume H33: (x44 (x0 x53) (x0 x53) ⟶ False) ⟶ False.

Assume H34: (x44 (x0 x53) x53 ⟶ False) ⟶ False.

Assume H35: (x44 ... ... ⟶ False) ⟶ False.

...

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Proofgold Proof