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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 ιιο be given.
Let x2 of type ιο be given.
Let x3 of type ιιι be given.
Let x4 of type ιιι be given.
Let x5 of type ιι be given.
Let x6 of type ιο be given.
Let x7 of type ιο be given.
Let x8 of type ι be given.
Let x9 of type ιο be given.
Let x10 of type ι be given.
Let x11 of type ι be given.
Let x12 of type ι be given.
Let x13 of type ι be given.
Let x14 of type ιο be given.
Let x15 of type ιι be given.
Let x16 of type ιι be given.
Let x17 of type ιο be given.
Let x18 of type ι be given.
Let x19 of type ι be given.
Let x20 of type ιι be given.
Let x21 of type ι be given.
Let x22 of type ι be given.
Let x23 of type ι be given.
Let x24 of type ι be given.
Let x25 of type ιο be given.
Assume H5: ∀ x26 x27 . x25 x27(x27 = x26False)x25 x26False.
Assume H6: ∀ x26 x27 . x0 x26 x27x25 x27False.
Assume H7: ∀ x26 . x25 x26(x26 = x24False)False.
Assume H8: ∀ x26 x27 . x1 x26 x27(x25 x27False)(x0 x26 x27False)False.
Assume H9: ∀ x26 x27 . x0 x27 x26(x1 x27 x26False)False.
Assume H10: ∀ x26 x27 x28 . x2 x28x6 x28x2 x27x6 x27x0 x26 (x5 (x3 x27 x28))(x4 (x3 x27 x28) x26 = x4 x28 (x4 x27 x26)False)False.
Assume H11: ∀ x26 x27 x28 . x2 x28x6 x28x2 x27x6 x27x0 x26 (x5 x27)x0 (x4 x27 x26) (x5 x28)(x0 x26 (x5 (x3 x27 x28))False)False.
Assume H12: ∀ x26 x27 x28 . x2 x28x6 x28x2 x27x6 x27x0 x26 (x5 (x3 x27 x28))(x0 (x4 x27 x26) (x5 x28)False)False.
Assume H13: ∀ x26 x27 x28 . x2 x28x6 x28x2 x27x6 x27x0 x26 (x5 (x3 x27 x28))(x0 x26 (x5 x27)False)False.
Assume H14: x7 x8False.
Assume H15: x25 x23False.
Assume H16: (x9 x10False)False.
Assume H17: (x2 x10False)False.
Assume H18: (x7 x11False)False.
Assume H19: x25 x11False.
Assume H20: (x25 x12False)False.
Assume H21: (x2 x22False)False.
Assume H22: x25 x22False.
Assume H23: (x6 x21False)False.
Assume H24: (x2 x21False)False.
Assume H25: ∀ x26 . (x25 x26False)x2 x26x25 (x5 x26)False.
Assume H26: ∀ x26 x27 . x2 x27x6 x27x2 x26x6 x26(x6 (x3 x27 x26)False)False.
Assume H27: ∀ x26 x27 . x2 x27x6 x27x2 x26x6 x26(x2 (x3 x27 x26)False)False.
Assume H28: ∀ x26 . .........False.
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