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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 ιιο be given.
Let x6 of type ιο be given.
Let x7 of type ι be given.
Let x8 of type ιο be given.
Let x9 of type ι be given.
Let x10 of type ιι be given.
Let x11 of type ιι be given.
Let x12 of type ιι be given.
Let x13 of type ιιο be given.
Let x14 of type ι be given.
Let x15 of type ι be given.
Let x16 of type ιο be given.
Let x17 of type ι be given.
Let x18 of type ιι be given.
Let x19 of type ιι be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ιο be given.
Let x23 of type ι be given.
Let x24 of type ιι be given.
Let x25 of type ιιι be given.
Let x26 of type ιο be given.
Let x27 of type ι be given.
Let x28 of type ι be given.
Let x29 of type ιο be given.
Let x30 of type ιι be given.
Let x31 of type ι be given.
Let x32 of type ιο be given.
Let x33 of type ι be given.
Let x34 of type ιο 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 ιο be given.
Let x40 of type ιο be given.
Let x41 of type ι be given.
Let x42 of type ιο be given.
Let x43 of type ιι be given.
Let x44 of type ι be given.
Let x45 of type ι be given.
Let x46 of type ιι be given.
Let x47 of type ι be given.
Let x48 of type ιο be given.
Let x49 of type ι be given.
Let x50 of type ιο be given.
Let x51 of type ιι be given.
Let x52 of type ιο be given.
Let x53 of type ι be given.
Let x54 of type ιο be given.
Let x55 of type ιο be given.
Let x56 of type ιο be given.
Let x57 of type ιιο be given.
Let x58 of type ιι be given.
Let x59 of type ιι be given.
Let x60 of type ιιι be given.
Let x61 of type ιο be given.
Let x62 of type ι be given.
Let x63 of type ιο be given.
Assume H5: ∀ x64 x65 . x63 x65(x65 = x64False)x63 x64False.
Assume H6: ∀ x64 x65 . x0 x64 x65x63 x65False.
Assume H7: ∀ x64 . x63 x64(x64 = x62False)False.
Assume H8: ∀ x64 x65 x66 . x0 x64 x65x2 x65 (x1 x66)x63 x66False.
Assume H9: ∀ x64 x65 x66 . x0 x65 x66x2 x66 (x1 x64)(x2 x65 x64False)False.
Assume H10: ∀ x64 x65 . x3 x65 x64(x2 x65 (x1 x64)False)False.
Assume H11: ∀ x64 x65 . x2 x65 (x1 x64)(x3 x65 x64False)False.
Assume H12: ∀ x64 x65 . x2 x64 x65(x63 x65False)(x0 x64 x65False)False.
Assume H13: ∀ x64 x65 . x61 x65x61 x64x3 (x58 x65) (x59 x64)(x59 (x60 x64 x65) = x59 x65False)False.
Assume H14: ∀ x64 x65 . x61 x65x61 x64x3 (x59 x65) (x58 x64)(x58 (x60 x65 x64) = x58 x65False)False.
Assume H15: ∀ x64 x65 . x0 x65 x64(x2 x65 x64False)False.
Assume H16: (x2 x62 x4False)False.
Assume H17: ∀ x64 x65 . x57 x64 x65(x57 x65 x64False)False.
Assume H18: ∀ x64 . (x57 x64 x64False)False.
Assume H19: ∀ x64 . (x3 x64 x64False)False.
Assume H20: ∀ x64 x65 . x5 x65 x64(x57 x65 x64False)False.
Assume H21: ∀ x64 x65 . x57 x65 x64(x5 x65 x64False)False.
Assume H22: (x6 x7False)False.
Assume H23: (x56 x7False)False.
Assume H24: (x61 x7False)False.
Assume H25: x63 x7False.
Assume H26: (x8 x9False)False.
Assume H27: (x55 x9False)False.
Assume H28: x63 x9False.
Assume H29: (x54 x53False)False.
Assume H30: x63 x53False.
Assume H31: ∀ x64 . ......False.
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