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Proofgold Proposition

(∀ x0 x1 x2 . equip_mod (setsum (setsum (setprod (Power (Power (Power 0))) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x1 (Power (Power 0))))) (setsum (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 x2))) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power 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0))) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x1 (Power (Power 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (Power (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setprod (setexp x0 (Power (Power 0))) (setprod x1 x2))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) x1)) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) x2)) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setexp x0 (Power (Power 0)))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2))) (setsum (setprod (Power (Power (Power 0))) (setprod x0 (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod x0 (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod x0 (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (Power (Power 0)) (setprod x0 (setexp x1 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod x0 (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod x0 (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setprod x0 x1)) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setprod x0 (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod x0 x2)) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) x0) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setexp x1 (binrep (Power (Power 0)) 0))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod (setexp x1 (Power (Power 0))) x2)) (setsum (setprod (Power (Power 0)) (setexp x1 (Power (Power 0)))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (Power (Power 0)) (setprod x1 (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) x1) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setexp x2 (binrep (Power (Power 0)) 0))) (setsum (setprod (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0) (setexp x2 (Power (Power 0)))) (setsum x2 (binrep (Power (binrep (Power (Power 0)) 0)) 0)))))))))))))))))))))))))))))))))))))))))))))))))))))))) (Power (Power (Power (Power 0))))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2)) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (binrep (Power (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x1 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setprod x1 x2))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) x1)) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod (setexp x0 (binrep (Power (Power 0)) 0)) x2)) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setexp x0 (binrep (Power (Power 0)) 0))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod (setexp x0 (Power (Power 0))) (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setprod x1 (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (Power (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setprod x1 x2))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod (setexp x0 (Power (Power 0))) x1)) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) (setprod (setexp x0 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0)))) (setsum (setprod (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) (setexp x2 (Power (Power 0))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod (setexp x0 (Power (Power 0))) x2)) (setsum (setprod (binrep (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) 0) (setexp x0 (Power (Power 0)))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0)) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) 0) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0) (setprod x0 (setprod (setexp x1 (binrep (Power (Power 0)) 0)) x2))) (setsum (setprod (binrep (Power (Power (Power 0))) 0) (setprod x0 (setexp x1 (binrep (Power (Power 0)) 0)))) (setsum (setprod (Power (Power 0)) (setprod x0 (setprod (setexp x1 (Power (Power 0))) (setexp x2 (binrep (Power (Power 0)) 0))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod x0 (setprod (setexp x1 (Power (Power 0))) (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0)) 0) (setprod x0 (setprod (setexp x1 (Power (Power 0))) x2))) (setsum (setprod (Power (binrep (Power (Power 0)) 0)) (setprod x0 (setexp x1 (Power (Power 0))))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod x0 (setprod x1 (setexp x2 (Power (Power 0)))))) (setsum (setprod (binrep (Power (Power 0)) 0) (setprod x0 (setprod x1 x2))) (setsum (setprod (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (setprod x0 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(Power 0))) (binrep (Power (binrep (Power (Power (Power 0))) 0)) 0)) (binrep (binrep (binrep (Power (Power (Power (Power 0)))) (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0))) (binrep (binrep (Power (Power (Power (Power 0)))) (binrep (Power (Power 0)) 0)) (Power (Power 0)))) (binrep (binrep (binrep (Power (Power (Power (Power 0)))) (binrep (Power (Power 0)) 0)) (Power 0)) 0)) (binrep (binrep (Power (Power (Power (Power 0)))) (binrep (Power (Power 0)) 0)) 0)) (binrep (binrep (binrep (Power (Power (Power (Power 0)))) (Power (Power 0))) (Power 0)) 0)) (binrep (binrep (Power (Power (Power (Power 0)))) (Power (Power 0))) (Power 0))) (binrep (binrep (Power (Power (Power (Power 0)))) (Power (Power 0))) 0)) (binrep (Power (Power (Power (Power 0)))) (Power 0))) (Power (Power (Power (Power 0))))) (binrep (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0))) (Power 0))) (binrep (Power (binrep (Power (Power 0)) 0)) (Power (Power 0)))) (binrep (Power (binrep (Power (Power 0)) 0)) (Power 0))) (binrep (Power (binrep (Power (Power 0)) 0)) 0)) (binrep (binrep (Power (Power (Power 0))) (Power 0)) 0)) (binrep (Power (Power (Power 0))) (Power 0))) (Power (Power (Power 0)))) (binrep (Power (Power 0)) 0)) 0)False)∀ x0 : ο . x0
type
prop
theory
HF
name
-
proof
PUYaj..
Megalodon
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proofgold address
TMMYr..
creator
35069 PrAFa../04ab6..
owner
35069 PrAFa../04ab6..
term root
0510f..