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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 ιιο be given.
Let x3 of type ιιο be given.
Let x4 of type ι be given.
Let x5 of type ιο be given.
Let x6 of type ιι be given.
Let x7 of type ιιο be given.
Let x8 of type ιο be given.
Let x9 of type ιι be given.
Let x10 of type ιο be given.
Let x11 of type ιο be given.
Let x12 of type ιο be given.
Let x13 of type ιι be given.
Let x14 of type ιι be given.
Let x15 of type ιιι be given.
Let x16 of type ιο be given.
Let x17 of type ιο be given.
Let x18 of type ιι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ιιι be given.
Let x22 of type ιιο be given.
Let x23 of type ιο be given.
Let x24 of type ι be given.
Let x25 of type ι be given.
Let x26 of type ιιο be given.
Let x27 of type ι be given.
Let x28 of type ιι be given.
Let x29 of type ι be given.
Let x30 of type ι be given.
Let x31 of type ιο be given.
Let x32 of type ιι be given.
Let x33 of type ι be given.
Let x34 of type ιο be given.
Assume H5: ∀ x35 x36 . x34 x36(x36 = x35False)x34 x35False.
Assume H6: ∀ x35 x36 . x0 x35 x36x34 x36False.
Assume H7: ∀ x35 . x34 x35(x35 = x33False)False.
Assume H8: ∀ x35 x36 x37 . x0 x35 x36x2 x36 (x1 x37)x34 x37False.
Assume H9: ∀ x35 x36 x37 . x0 x36 x37x2 x37 (x1 x35)(x2 x36 x35False)False.
Assume H10: ∀ x35 x36 . x3 x36 x35(x2 x36 (x1 x35)False)False.
Assume H11: ∀ x35 x36 . x2 x36 (x1 x35)(x3 x36 x35False)False.
Assume H12: ∀ x35 x36 . x2 x35 x36(x34 x36False)(x0 x35 x36False)False.
Assume H13: ∀ x35 x36 . x0 x36 x35(x2 x36 x35False)False.
Assume H14: x34 x4False.
Assume H15: ∀ x35 . (x3 x35 x35False)False.
Assume H16: ∀ x35 . x5 x35(x7 (x6 x35) x35False)False.
Assume H17: ∀ x35 . x5 x35(x2 (x6 x35) (x1 (x32 x35))False)False.
Assume H18: ∀ x35 . (x8 x35False)x10 x35x34 (x9 x35)False.
Assume H19: ∀ x35 . (x8 x35False)x10 x35(x2 (x9 x35) (x1 (x32 x35))False)False.
Assume H20: ∀ x35 . (x11 x35False)x10 x35x12 (x13 x35)False.
Assume H21: ∀ x35 . (x11 x35False)x10 x35(x2 (x13 x35) (x1 (x32 x35))False)False.
Assume H22: ∀ x35 . (x8 x35False)x10 x35(x12 (x14 x35)False)False.
Assume H23: ∀ x35 . (x8 x35False)x10 x35x34 (x14 x35)False.
Assume H24: ∀ x35 . (x8 x35False)x10 x35(x2 (x14 x35) (x1 (x32 x35))False)False.
Assume H25: (x31 x30False)False.
Assume H26: (x5 x30False)False.
Assume H27: (x31 x29False)False.
Assume H28: (x8 x29False)False.
Assume H29: (x5 ...False)False.
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