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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 ιο be given.
Let x1 of type ιο be given.
Let x2 of type ιιιιο be given.
Let x3 of type ιιο be given.
Let x4 of type ιι be given.
Let x5 of type ιο be given.
Let x6 of type ι be given.
Let x7 of type ιο be given.
Let x8 of type ιι be given.
Let x9 of type ιο be given.
Let x10 of type ιο be given.
Let x11 of type ιι be given.
Let x12 of type ιι be given.
Let x13 of type ι be given.
Let x14 of type ιιιιι be given.
Let x15 of type ιιο be given.
Let x16 of type ι be given.
Let x17 of type ι be given.
Let x18 of type ι 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 ι be given.
Let x23 of type ιι be given.
Let x24 of type ιο be given.
Let x25 of type ιο be given.
Let x26 of type ιιιι be given.
Let x27 of type ιιιι be given.
Let x28 of type ι be given.
Let x29 of type ιιο be given.
Let x30 of type ιι be given.
Let x31 of type ιιο be given.
Let x32 of type ιο be given.
Assume H5: ∀ x33 x34 . x32 x34(x34 = x33False)x32 x33False.
Assume H6: ∀ x33 x34 x35 x36 x37 x38 . (x0 x38False)x5 x38x1 x38x3 x33 (x4 x38)x3 x37 (x4 x38)x3 x34 (x4 x38)x3 x36 (x4 x38)x3 x35 (x4 x38)x2 x38 x33 x37 x34x2 x38 x33 x37 x36x2 x38 x33 x37 x35(x33 = x37False)(x2 x38 x34 x36 x35False)False.
Assume H7: ∀ x33 x34 . x31 x33 x34x32 x34False.
Assume H8: ∀ x33 . x32 x33(x33 = x6False)False.
Assume H9: ∀ x33 x34 x35 . x31 x33 x34x3 x34 (x30 x35)x32 x35False.
Assume H10: ∀ x33 x34 x35 . x31 x34 x35x3 x35 (x30 x33)(x3 x34 x33False)False.
Assume H11: ∀ x33 x34 . x29 x34 x33(x3 x34 (x30 x33)False)False.
Assume H12: ∀ x33 x34 . x3 x34 (x30 x33)(x29 x34 x33False)False.
Assume H13: ∀ x33 x34 . x3 x33 x34(x32 x34False)(x31 x33 x34False)False.
Assume H14: ∀ x33 x34 . x31 x34 x33(x3 x34 x33False)False.
Assume H15: x32 x28False.
Assume H16: ∀ x33 . (x29 x33 x33False)False.
Assume H17: ∀ x33 x34 x35 . (x0 x35False)x5 x35x1 x35x3 x33 (x4 x35)x3 x34 (x4 x35)(x27 x35 x33 x34 = x26 x35 x33 x34False)False.
Assume H18: ∀ x33 . (x7 x33False)x9 x33x32 (x8 x33)False.
Assume H19: ∀ x33 . (x7 x33False)x9 x33(x3 (x8 x33) (x30 (x4 x33))False)False.
Assume H20: ∀ x33 . (x0 x33False)x9 x33x10 (x11 x33)False.
Assume H21: ∀ x33 . (x0 x33False)x9 x33(x3 (x11 x33) (x30 (x4 x33))False)False.
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