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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 ι be given.
Let x4 of type ιιιο be given.
Let x5 of type ιι be given.
Let x6 of type ιο be given.
Let x7 of type ιιο be given.
Let x8 of type ιιι be given.
Let x9 of type ι be given.
Let x10 of type ιιι be given.
Let x11 of type ιιιιι be given.
Let x12 of type ιιι be given.
Let x13 of type ιο be given.
Let x14 of type ιιιιι be given.
Let x15 of type ι be given.
Let x16 of type ιο be given.
Let x17 of type ιι be given.
Let x18 of type ιιι be given.
Let x19 of type ιο be given.
Let x20 of type ιο be given.
Let x21 of type ιι be given.
Let x22 of type ιιο be given.
Let x23 of type ιιι be given.
Let x24 of type ιο be given.
Let x25 of type ιο be given.
Let x26 of type ιι 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 ι be given.
Let x31 of type ι be given.
Let x32 of type ιι be given.
Let x33 of type ι be given.
Let x34 of type ιιι be given.
Let x35 of type ιιι 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 ιιο be given.
Let x41 of type ιο be given.
Let x42 of type ιι be given.
Let x43 of type ιιι be given.
Let x44 of type ιο be given.
Let x45 of type ιιι 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 ι be given.
Let x53 of type ιο be given.
Let x54 of type ιι be given.
Let x55 of type ιιι be given.
Let x56 of type ιιο be given.
Let x57 of type ι be given.
Let x58 of type ιιι be given.
Let x59 of type ιιο be given.
Let x60 of type ιι be given.
Let x61 of type ιο be given.
Let x62 of type ι be given.
Let x63 of type ιο be given.
Let x64 of type ι be given.
Let x65 of type ιιι be given.
Let x66 of type ιιο be given.
Let x67 of type ιιιο be given.
Let x68 of type ιιο be given.
Let x69 of type ιιιο be given.
Let x70 of type ι be given.
Let x71 of type ιιι be given.
Let x72 of type ι be given.
Let x73 of type ιο be given.
Assume H5: ∀ x74 x75 . x73 x75(x75 = x74False)x73 x74False.
Assume H6: ∀ x74 x75 . x0 x74 x75x73 x75False.
Assume H7: ∀ x74 . x73 x74(x74 = x72False)False.
Assume H8: ∀ x74 x75 x76 . x0 x74 x75x2 x75 (x1 x76)x73 x76False.
Assume H9: ∀ x74 x75 x76 . x0 x75 x76x2 x76 (x1 x74)(x2 x75 x74False)False.
Assume H10: ∀ x74 x75 x76 . x2 x76 x3x13 x74x4 x74 x3 (x5 x75)x2 x74 (x1 (x12 x3 (x5 x75)))x6 x74(x7 (x11 x3 (x5 x75) (x10 x75 x74) (x8 x76 x9)) (x11 x3 (x5 x75) x74 x76)False)False.
Assume H11: ∀ x74 x75 . x7 x75 x74(x2 x75 (x1 x74)False)False.
Assume H12: ∀ x74 x75 . x2 x75 (x1 x74)(x7 x75 x74False)False.
Assume H13: ∀ x74 x75 . x2 x74 x75(x73 x75False)(x0 x74 x75False)False.
Assume H14: ∀ x74 x75 x76 . x2 x76 x3x13 x74x4 x74 x3 (x5 x75)x2 x74 (x1 (x12 x3 (x5 x75)))(x11 x3 (x5 x75) (x10 x75 x74) x76 = x14 x75 (x5 x75) (x11 x3 (x5 x75) (x10 x75 x74) (x8 x76 x9)) (x11 x3 (x5 x75) x74 x76)False)False.
Assume H15: ∀ x74 x75 . x0 x75 x74(x2 x75 x74False)False.
Assume H16: (x2 x72 x15False)False.
Assume H17: ∀ x74 . (x71 x74 x72 = x74False)False.
Assume H18: ∀ x74 x75 . x7 x75 x74(x71 x75 x74 = x74False)False.
Assume H19: (x2 x9 x70False)False.
Assume H20: ...False.
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