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Proofgold Proof

pf
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 ιιο be given.
Let x1 of type ιι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Let x4 of type ιι be given.
Let x5 of type ιο be given.
Let x6 of type ιο be given.
Let x7 of type ιι be given.
Let x8 of type ι be given.
Let x9 of type ιο be given.
Let x10 of type ιι be given.
Let x11 of type ιιο be given.
Let x12 of type ιι be given.
Let x13 of type ιιο be given.
Let x14 of type ιιο be given.
Let x15 of type ιι be given.
Let x16 of type ιο be given.
Assume H5: ∀ x17 . x16 x17(x14 x17 (x15 x17)False)False.
Assume H6: ∀ x17 . x16 x17(x0 (x15 x17) (x1 x17)False)False.
Assume H7: ∀ x17 . x16 x17(x16 (x15 x17)False)False.
Assume H8: ∀ x17 . x16 x17(x0 (x1 x17) x17False)False.
Assume H9: ∀ x17 x18 . x13 x18 x17(x11 x18 (x12 x17)False)False.
Assume H10: ∀ x17 x18 . x11 x18 (x12 x17)(x13 x18 x17False)False.
Assume H11: ∀ x17 x18 x19 . x16 x19x16 x17x16 x18x14 x19 x17x14 x17 x18(x14 x19 x18False)False.
Assume H12: ∀ x17 x18 x19 . x13 x18 x19x13 x19 x17(x13 x18 x17False)False.
Assume H13: ∀ x17 x18 x19 . x16 x19x16 x17x0 x17 (x1 x19)x14 x19 x17x16 x18x0 x18 (x1 x19)x14 x19 x18(x0 (x10 x19) x18False)False.
Assume H14: ∀ x17 x18 . x16 x18x16 x17x0 x17 (x1 x18)x14 x18 x17(x14 x18 (x10 x18)False)False.
Assume H15: ∀ x17 x18 . x16 x18x16 x17x0 x17 (x1 x18)x14 x18 x17(x0 (x10 x18) (x1 x18)False)False.
Assume H16: ∀ x17 x18 . x16 x18x16 x17x0 x17 (x1 x18)x14 x18 x17(x16 (x10 x18)False)False.
Assume H17: ∀ x17 x18 . x16 x18x16 x17(x14 x18 x18False)False.
Assume H18: ∀ x17 . (x13 x17 x17False)False.
Assume H19: ∀ x17 x18 . x16 x18x16 x17(x0 x18 x18False)False.
Assume H20: ∀ x17 x18 . x16 x18x16 x17x13 x18 x17(x0 x18 x17False)False.
Assume H21: ∀ x17 x18 . x16 x18x16 x17x0 x18 x17(x13 x18 x17False)False.
Assume H22: (x16 x2False)False.
Assume H23: (x9 x8False)False.
Assume H24: ∀ x17 . (x1 (x1 ...) = ...False)False.
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