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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 ιιο be given.
Let x5 of type ιι be given.
Let x6 of type ιο be given.
Let x7 of type ιι 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 ιι be given.
Let x13 of type ι be given.
Let x14 of type ι be given.
Let x15 of type ιο be given.
Let x16 of type ιιο be given.
Let x17 of type ιι be given.
Let x18 of type ιι be given.
Let x19 of type ιι be given.
Let x20 of type ιιι be given.
Let x21 of type ιο be given.
Let x22 of type ιι be given.
Let x23 of type ιι be given.
Let x24 of type ι be given.
Let x25 of type ι be given.
Let x26 of type ιι 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 ιο be given.
Let x33 of type ιο be given.
Let x34 of type ιι be given.
Let x35 of type ιι be given.
Let x36 of type ιι be given.
Let x37 of type ιι be given.
Let x38 of type ιι be given.
Let x39 of type ιι be given.
Let x40 of type ι be given.
Let x41 of type ιο be given.
Let x42 of type ι be given.
Let x43 of type ιι be given.
Let x44 of type ιο be given.
Let x45 of type ι be given.
Let x46 of type ι be given.
Let x47 of type ιι be given.
Let x48 of type ιι be given.
Let x49 of type ιο be given.
Let x50 of type ιο be given.
Let x51 of type ιιο be given.
Let x52 of type ιι be given.
Let x53 of type ι be given.
Let x54 of type ιο be given.
Let x55 of type ιι be given.
Let x56 of type ιιι be given.
Let x57 of type ιιιο be given.
Let x58 of type ιιιι be given.
Let x59 of type ιιιιι be given.
Let x60 of type ιο be given.
Let x61 of type ι be given.
Let x62 of type ιο be given.
Let x63 of type ιο be given.
Let x64 of type ιο be given.
Let x65 of type ιι be given.
Let x66 of type ιιιι be given.
Let x67 of type ιι be given.
Let x68 of type ιο be given.
Let x69 of type ιο be given.
Let x70 of type ιο be given.
Let x71 of type ι be given.
Let x72 of type ιο be given.
Assume H5: ∀ x73 x74 . x72 x74(x74 = x73False)x72 x73False.
Assume H6: ∀ x73 x74 . x0 x73 x74x72 x74False.
Assume H7: ∀ x73 . x72 x73(x73 = x71False)False.
Assume H8: ∀ x73 x74 x75 . x0 x73 x74x2 x74 (x1 x75)x72 x75False.
Assume H9: ∀ x73 x74 x75 . x0 x74 x75x2 x75 (x1 x73)(x2 x74 x73False)False.
Assume H10: ∀ x73 x74 . x3 x74 x73(x2 x74 (x1 x73)False)False.
Assume H11: ∀ x73 x74 . x2 x74 (x1 x73)(x3 x74 x73False)False.
Assume H12: ∀ x73 x74 . x2 x73 x74(x72 x74False)(x0 x73 x74False)False.
Assume H13: ∀ x73 x74 . (x70 x74False)x62 x74x69 x74x63 x74x68 x74x64 x74x2 x73 (x65 x74)(x66 x74 x73 (x67 x74) = x73False)False.
Assume H14: ∀ x73 x74 . x0 x74 x73(x2 x74 x73False)False.
Assume H15: x72 x61False.
Assume H16: ∀ x73 . (x3 x73 x73False)False.
Assume H17: ∀ x73 x74 x75 x76 . x60 x76x57 x76 (x56 x73 x73) x73x2 x76 (x1 (x56 (x56 x73 x73) x73))x2 x74 x73x2 x75 x73(x59 x73 x76 x74 x75 = x58 x76 x74 x75False)False.
Assume H18: ∀ x73 . (x72 x73False)(x4 (x5 x73) x61False)False.
Assume H19: ∀ x73 . (x72 x73False)(x2 (x5 x73) (x1 x73)False)False.
Assume H20: ∀ x73 . x6 x73(x4 (x7 x73) x73False)False.
Assume H21: ∀ x73 . x6 x73(x60 (x7 x73)False)False.
Assume H22: ∀ x73 . x6 x73(x8 (x7 x73)False)False.
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