%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : GRA111^1 : TPTP v9.2.0. Released v9.0.0. % Transfm : none % Format : tptp:raw % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Oct 9 01:32:41 PM UTC 2025 % Result : Unsatisfiable 176.16s 176.25s % Output : Proof 176.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRA111^1 : TPTP v9.2.0. Released v9.0.0. % 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.13/0.34 % Computer : n003.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Oct 8 15:42:38 EDT 2025 % 0.13/0.34 % CPUTime : % 176.16/176.25 % SZS status Unsatisfiable % 176.16/176.25 % Mode: mode406 % 176.16/176.25 % Inferences: 43039 % 176.16/176.25 % SZS output start Proof % 176.16/176.25 thf(ty_eigen__1, type, eigen__1 : $i). % 176.16/176.25 thf(ty_b, type, b : ($i>$i>$o)). % 176.16/176.25 thf(ty_eigen__0, type, eigen__0 : ($i>$i)). % 176.16/176.25 thf(ty_r, type, r : ($i>$i>$o)). % 176.16/176.25 thf(sP1,plain,sP1 <=> (![X1:$i]:(![X2:$i]:(((eigen__0 @ X1) = (eigen__0 @ X2)) => (X1 = X2)))),introduced(definition,[new_symbols(definition,[sP1])])). % 176.16/176.25 thf(sP2,plain,sP2 <=> ((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP2])])). % 176.16/176.25 thf(sP3,plain,sP3 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1),introduced(definition,[new_symbols(definition,[sP3])])). % 176.16/176.25 thf(sP4,plain,sP4 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP4])])). % 176.16/176.25 thf(sP5,plain,sP5 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP5])])). % 176.16/176.25 thf(sP6,plain,sP6 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))),introduced(definition,[new_symbols(definition,[sP6])])). % 176.16/176.25 thf(sP7,plain,sP7 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP7])])). % 176.16/176.25 thf(sP8,plain,sP8 <=> ((~(((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP8])])). % 176.16/176.25 thf(sP9,plain,sP9 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ eigen__1)) = X1))),introduced(definition,[new_symbols(definition,[sP9])])). % 176.16/176.25 thf(sP10,plain,sP10 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP10])])). % 176.16/176.25 thf(sP11,plain,sP11 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))) => (eigen__1 = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP11])])). % 176.16/176.25 thf(sP12,plain,sP12 <=> ((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP12])])). % 176.16/176.25 thf(sP13,plain,sP13 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP13])])). % 176.16/176.25 thf(sP14,plain,sP14 <=> (![X1:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP14])])). % 176.16/176.25 thf(sP15,plain,sP15 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP15])])). % 176.16/176.25 thf(sP16,plain,sP16 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP16])])). % 176.16/176.25 thf(sP17,plain,sP17 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP17])])). % 176.16/176.25 thf(sP18,plain,sP18 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ X1) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP18])])). % 176.16/176.25 thf(sP19,plain,sP19 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP19])])). % 176.16/176.25 thf(sP20,plain,sP20 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP20])])). % 176.16/176.25 thf(sP21,plain,sP21 <=> (![X1:$i]:((~(((~(((~(((~(sP17)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP21])])). % 176.16/176.25 thf(sP22,plain,sP22 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP22])])). % 176.16/176.25 thf(sP23,plain,sP23 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP23])])). % 176.16/176.25 thf(sP24,plain,sP24 <=> (![X1:$i]:((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP24])])). % 176.16/176.25 thf(sP25,plain,sP25 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP25])])). % 176.16/176.25 thf(sP26,plain,sP26 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP26])])). % 176.16/176.25 thf(sP27,plain,sP27 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP27])])). % 176.16/176.25 thf(sP28,plain,sP28 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP28])])). % 176.16/176.25 thf(sP29,plain,sP29 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP29])])). % 176.16/176.25 thf(sP30,plain,sP30 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP30])])). % 176.16/176.25 thf(sP31,plain,sP31 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP31])])). % 176.16/176.25 thf(sP32,plain,sP32 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP32])])). % 176.16/176.25 thf(sP33,plain,sP33 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP33])])). % 176.16/176.25 thf(sP34,plain,sP34 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP34])])). % 176.16/176.25 thf(sP35,plain,sP35 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ X1) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X1) @ X4)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP35])])). % 176.16/176.25 thf(sP36,plain,sP36 <=> (![X1:$i]:((~(((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP36])])). % 176.16/176.25 thf(sP37,plain,sP37 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP37])])). % 176.16/176.25 thf(sP38,plain,sP38 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP38])])). % 176.16/176.25 thf(sP39,plain,sP39 <=> ((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP39])])). % 176.16/176.25 thf(sP40,plain,sP40 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP40])])). % 176.16/176.25 thf(sP41,plain,sP41 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP41])])). % 176.16/176.25 thf(sP42,plain,sP42 <=> ((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP42])])). % 176.16/176.25 thf(sP43,plain,sP43 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ eigen__1) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP43])])). % 176.16/176.25 thf(sP44,plain,sP44 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP44])])). % 176.16/176.25 thf(sP45,plain,sP45 <=> ((~(sP26)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP45])])). % 176.16/176.25 thf(sP46,plain,sP46 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP46])])). % 176.16/176.25 thf(sP47,plain,sP47 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP47])])). % 176.16/176.25 thf(sP48,plain,sP48 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP48])])). % 176.16/176.25 thf(sP49,plain,sP49 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP49])])). % 176.16/176.25 thf(sP50,plain,sP50 <=> (![X1:$i]:((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP50])])). % 176.16/176.25 thf(sP51,plain,sP51 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP51])])). % 176.16/176.25 thf(sP52,plain,sP52 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP52])])). % 176.16/176.25 thf(sP53,plain,sP53 <=> (![X1:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP53])])). % 176.16/176.25 thf(sP54,plain,sP54 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP54])])). % 176.16/176.25 thf(sP55,plain,sP55 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP55])])). % 176.16/176.25 thf(sP56,plain,sP56 <=> ((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP56])])). % 176.16/176.25 thf(sP57,plain,sP57 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP57])])). % 176.16/176.25 thf(sP58,plain,sP58 <=> ((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP58])])). % 176.16/176.25 thf(sP59,plain,sP59 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP59])])). % 176.16/176.25 thf(sP60,plain,sP60 <=> (![X1:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP60])])). % 176.16/176.25 thf(sP61,plain,sP61 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP61])])). % 176.16/176.25 thf(sP62,plain,sP62 <=> ((~((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP62])])). % 176.16/176.25 thf(sP63,plain,sP63 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP63])])). % 176.16/176.25 thf(sP64,plain,sP64 <=> (![X1:$i]:((~((sP16 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP64])])). % 176.16/176.25 thf(sP65,plain,sP65 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP65])])). % 176.16/176.25 thf(sP66,plain,sP66 <=> ((eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP66])])). % 176.16/176.25 thf(sP67,plain,sP67 <=> ((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP67])])). % 176.16/176.25 thf(sP68,plain,sP68 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP68])])). % 176.16/176.25 thf(sP69,plain,sP69 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP69])])). % 176.16/176.25 thf(sP70,plain,sP70 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP70])])). % 176.16/176.25 thf(sP71,plain,sP71 <=> ((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP65))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP71])])). % 176.16/176.25 thf(sP72,plain,sP72 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP72])])). % 176.16/176.25 thf(sP73,plain,sP73 <=> ((~((((r @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP73])])). % 176.16/176.25 thf(sP74,plain,sP74 <=> (sP72 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP74])])). % 176.16/176.25 thf(sP75,plain,sP75 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP75])])). % 176.16/176.25 thf(sP76,plain,sP76 <=> ((~(sP39)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP76])])). % 176.16/176.25 thf(sP77,plain,sP77 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP77])])). % 176.16/176.25 thf(sP78,plain,sP78 <=> ((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP65))),introduced(definition,[new_symbols(definition,[sP78])])). % 176.16/176.25 thf(sP79,plain,sP79 <=> ((~(((~(sP46)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP79])])). % 176.16/176.25 thf(sP80,plain,sP80 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP80])])). % 176.16/176.25 thf(sP81,plain,sP81 <=> ((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP81])])). % 176.16/176.25 thf(sP82,plain,sP82 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP82])])). % 176.16/176.25 thf(sP83,plain,sP83 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP83])])). % 176.16/176.25 thf(sP84,plain,sP84 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP84])])). % 176.16/176.25 thf(sP85,plain,sP85 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP85])])). % 176.16/176.25 thf(sP86,plain,sP86 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP86])])). % 176.16/176.25 thf(sP87,plain,sP87 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP87])])). % 176.16/176.25 thf(sP88,plain,sP88 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP88])])). % 176.16/176.25 thf(sP89,plain,sP89 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP89])])). % 176.16/176.25 thf(sP90,plain,sP90 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP90])])). % 176.16/176.25 thf(sP91,plain,sP91 <=> ((~(((~(sP88)) => (~(sP65))))) => (~(sP65))),introduced(definition,[new_symbols(definition,[sP91])])). % 176.16/176.25 thf(sP92,plain,sP92 <=> (![X1:$i]:((~(((~(((~(((~((sP72 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP92])])). % 176.16/176.25 thf(sP93,plain,sP93 <=> (![X1:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP93])])). % 176.16/176.25 thf(sP94,plain,sP94 <=> ((~(((~(((~(sP17)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP94])])). % 176.16/176.25 thf(sP95,plain,sP95 <=> ((~((sP65 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP95])])). % 176.16/176.25 thf(sP96,plain,sP96 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP69))),introduced(definition,[new_symbols(definition,[sP96])])). % 176.16/176.25 thf(sP97,plain,sP97 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)) => sP3),introduced(definition,[new_symbols(definition,[sP97])])). % 176.16/176.25 thf(sP98,plain,sP98 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~(((~((((b @ eigen__1) @ X1) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X1) @ X4)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP98])])). % 176.16/176.25 thf(sP99,plain,sP99 <=> (sP89 => (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP99])])). % 176.16/176.25 thf(sP100,plain,sP100 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP100])])). % 176.16/176.25 thf(sP101,plain,sP101 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP101])])). % 176.16/176.25 thf(sP102,plain,sP102 <=> (![X1:$i]:((~(((~(((~(sP75)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP102])])). % 176.16/176.25 thf(sP103,plain,sP103 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP103])])). % 176.16/176.25 thf(sP104,plain,sP104 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP104])])). % 176.16/176.25 thf(sP105,plain,sP105 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP83))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP105])])). % 176.16/176.25 thf(sP106,plain,sP106 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((sP72 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP106])])). % 176.16/176.25 thf(sP107,plain,sP107 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP107])])). % 176.16/176.25 thf(sP108,plain,sP108 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP108])])). % 176.16/176.25 thf(sP109,plain,sP109 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP109])])). % 176.16/176.25 thf(sP110,plain,sP110 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP110])])). % 176.16/176.25 thf(sP111,plain,sP111 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP111])])). % 176.16/176.25 thf(sP112,plain,sP112 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP112])])). % 176.16/176.25 thf(sP113,plain,sP113 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP113])])). % 176.16/176.25 thf(sP114,plain,sP114 <=> (((b @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP114])])). % 176.16/176.25 thf(sP115,plain,sP115 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(sP69))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP115])])). % 176.16/176.25 thf(sP116,plain,sP116 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP116])])). % 176.16/176.25 thf(sP117,plain,sP117 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP117])])). % 176.16/176.25 thf(sP118,plain,sP118 <=> ((~(((~(sP25)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP118])])). % 176.16/176.25 thf(sP119,plain,sP119 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP119])])). % 176.16/176.25 thf(sP120,plain,sP120 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP120])])). % 176.16/176.25 thf(sP121,plain,sP121 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = X1))),introduced(definition,[new_symbols(definition,[sP121])])). % 176.16/176.25 thf(sP122,plain,sP122 <=> ((~(sP46)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP122])])). % 176.16/176.25 thf(sP123,plain,sP123 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP123])])). % 176.16/176.25 thf(sP124,plain,sP124 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP124])])). % 176.16/176.25 thf(sP125,plain,sP125 <=> ((~(sP10)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP125])])). % 176.16/176.25 thf(sP126,plain,sP126 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP126])])). % 176.16/176.25 thf(sP127,plain,sP127 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP127])])). % 176.16/176.25 thf(sP128,plain,sP128 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP128])])). % 176.16/176.25 thf(sP129,plain,sP129 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP129])])). % 176.16/176.25 thf(sP130,plain,sP130 <=> ((~(sP117)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP130])])). % 176.16/176.25 thf(sP131,plain,sP131 <=> (![X1:$i]:((~(((~(((eigen__0 @ eigen__1) = X1))) => ((r @ (eigen__0 @ eigen__1)) @ X1)))) => ((b @ (eigen__0 @ eigen__1)) @ X1))),introduced(definition,[new_symbols(definition,[sP131])])). % 176.16/176.25 thf(sP132,plain,sP132 <=> ((~(((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP132])])). % 176.16/176.25 thf(sP133,plain,sP133 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP133])])). % 176.16/176.25 thf(sP134,plain,sP134 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP134])])). % 176.16/176.25 thf(sP135,plain,sP135 <=> ((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP135])])). % 176.16/176.25 thf(sP136,plain,sP136 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))))) => sP128),introduced(definition,[new_symbols(definition,[sP136])])). % 176.16/176.25 thf(sP137,plain,sP137 <=> ((~((sP16 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP137])])). % 176.16/176.25 thf(sP138,plain,sP138 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP138])])). % 176.16/176.25 thf(sP139,plain,sP139 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP139])])). % 176.16/176.25 thf(sP140,plain,sP140 <=> (sP127 => (~(sP139))),introduced(definition,[new_symbols(definition,[sP140])])). % 176.16/176.25 thf(sP141,plain,sP141 <=> ((~(((~(sP44)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP141])])). % 176.16/176.25 thf(sP142,plain,sP142 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1) => (~(sP128))),introduced(definition,[new_symbols(definition,[sP142])])). % 176.16/176.25 thf(sP143,plain,sP143 <=> ((~(sP89)) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP143])])). % 176.16/176.25 thf(sP144,plain,sP144 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP144])])). % 176.16/176.25 thf(sP145,plain,sP145 <=> ((~(((~(((~(sP40)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP145])])). % 176.16/176.25 thf(sP146,plain,sP146 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP146])])). % 176.16/176.25 thf(sP147,plain,sP147 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP147])])). % 176.16/176.25 thf(sP148,plain,sP148 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP148])])). % 176.16/176.25 thf(sP149,plain,sP149 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP149])])). % 176.16/176.25 thf(sP150,plain,sP150 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP150])])). % 176.16/176.25 thf(sP151,plain,sP151 <=> ((~(sP54)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP151])])). % 176.16/176.25 thf(sP152,plain,sP152 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP152])])). % 176.16/176.25 thf(sP153,plain,sP153 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP153])])). % 176.16/176.25 thf(sP154,plain,sP154 <=> ((~(sP34)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP154])])). % 176.16/176.25 thf(sP155,plain,sP155 <=> (![X1:$i]:((~(((~(((~(sP86)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP155])])). % 176.16/176.25 thf(sP156,plain,sP156 <=> (((b @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP156])])). % 176.16/176.25 thf(sP157,plain,sP157 <=> (((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP157])])). % 176.16/176.25 thf(sP158,plain,sP158 <=> ((~(sP87)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP158])])). % 176.16/176.25 thf(sP159,plain,sP159 <=> ((b @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP159])])). % 176.16/176.25 thf(sP160,plain,sP160 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP160])])). % 176.16/176.25 thf(sP161,plain,sP161 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP161])])). % 176.16/176.25 thf(sP162,plain,sP162 <=> ((~(((~(sP122)) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP162])])). % 176.16/176.25 thf(sP163,plain,sP163 <=> ((~(((~(((~(((~(sP153)) => (~(sP83))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP163])])). % 176.16/176.25 thf(sP164,plain,sP164 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP164])])). % 176.16/176.25 thf(sP165,plain,sP165 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP128))),introduced(definition,[new_symbols(definition,[sP165])])). % 176.16/176.25 thf(sP166,plain,sP166 <=> ((~((sP139 => (~(sP16))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP166])])). % 176.16/176.25 thf(sP167,plain,sP167 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP167])])). % 176.16/176.25 thf(sP168,plain,sP168 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP168])])). % 176.16/176.25 thf(sP169,plain,sP169 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP65))),introduced(definition,[new_symbols(definition,[sP169])])). % 176.16/176.25 thf(sP170,plain,sP170 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)) => ((eigen__0 @ eigen__1) = eigen__1)),introduced(definition,[new_symbols(definition,[sP170])])). % 176.16/176.25 thf(sP171,plain,sP171 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP171])])). % 176.16/176.25 thf(sP172,plain,sP172 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP172])])). % 176.16/176.25 thf(sP173,plain,sP173 <=> ((~(((eigen__0 @ eigen__1) = eigen__1))) => ((r @ (eigen__0 @ eigen__1)) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP173])])). % 176.16/176.25 thf(sP174,plain,sP174 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP174])])). % 176.16/176.25 thf(sP175,plain,sP175 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP175])])). % 176.16/176.25 thf(sP176,plain,sP176 <=> (sP16 => (~(sP127))),introduced(definition,[new_symbols(definition,[sP176])])). % 176.16/176.25 thf(sP177,plain,sP177 <=> ((~(((~(sP17)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP177])])). % 176.16/176.25 thf(sP178,plain,sP178 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP178])])). % 176.16/176.25 thf(sP179,plain,sP179 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP179])])). % 176.16/176.25 thf(sP180,plain,sP180 <=> ((~(((~(((~(sP67)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP180])])). % 176.16/176.25 thf(sP181,plain,sP181 <=> ((~(((~(((~(((~(sP28)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP181])])). % 176.16/176.25 thf(sP182,plain,sP182 <=> ((~(sP17)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP182])])). % 176.16/176.25 thf(sP183,plain,sP183 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~(sP40)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP183])])). % 176.16/176.25 thf(sP184,plain,sP184 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP184])])). % 176.16/176.25 thf(sP185,plain,sP185 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP139))),introduced(definition,[new_symbols(definition,[sP185])])). % 176.16/176.25 thf(sP186,plain,sP186 <=> (![X1:$i]:((~(((~((eigen__1 = X1))) => ((r @ eigen__1) @ X1)))) => ((b @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP186])])). % 176.16/176.25 thf(sP187,plain,sP187 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP187])])). % 176.16/176.25 thf(sP188,plain,sP188 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP188])])). % 176.16/176.25 thf(sP189,plain,sP189 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP189])])). % 176.16/176.25 thf(sP190,plain,sP190 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP190])])). % 176.16/176.25 thf(sP191,plain,sP191 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP191])])). % 176.16/176.25 thf(sP192,plain,sP192 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP127))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP192])])). % 176.16/176.25 thf(sP193,plain,sP193 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP193])])). % 176.16/176.25 thf(sP194,plain,sP194 <=> ((~(((~(((~(sP85)) => (~(sP159))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP194])])). % 176.16/176.25 thf(sP195,plain,sP195 <=> ((~(((~(sP28)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP195])])). % 176.16/176.25 thf(sP196,plain,sP196 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP182)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP196])])). % 176.16/176.25 thf(sP197,plain,sP197 <=> ((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP197])])). % 176.16/176.25 thf(sP198,plain,sP198 <=> ((~(sP124)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP198])])). % 176.16/176.25 thf(sP199,plain,sP199 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP199])])). % 176.16/176.25 thf(sP200,plain,sP200 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP200])])). % 176.16/176.25 thf(sP201,plain,sP201 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP130)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP201])])). % 176.16/176.26 thf(sP202,plain,sP202 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP202])])). % 176.16/176.26 thf(sP203,plain,sP203 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP203])])). % 176.16/176.26 thf(sP204,plain,sP204 <=> ((~(sP95)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP204])])). % 176.16/176.26 thf(sP205,plain,sP205 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP205])])). % 176.16/176.26 thf(sP206,plain,sP206 <=> ((~(((~(sP168)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP206])])). % 176.16/176.26 thf(sP207,plain,sP207 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP207])])). % 176.16/176.26 thf(sP208,plain,sP208 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP208])])). % 176.16/176.26 thf(sP209,plain,sP209 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP209])])). % 176.16/176.26 thf(sP210,plain,sP210 <=> ((~((sP172 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP210])])). % 176.16/176.26 thf(sP211,plain,sP211 <=> ((~(sP79)) => (~(sP209))),introduced(definition,[new_symbols(definition,[sP211])])). % 176.16/176.26 thf(sP212,plain,sP212 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP212])])). % 176.16/176.26 thf(sP213,plain,sP213 <=> (![X1:$i]:((~(((~(sP204)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP213])])). % 176.16/176.26 thf(sP214,plain,sP214 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP214])])). % 176.16/176.26 thf(sP215,plain,sP215 <=> (sP139 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP215])])). % 176.16/176.26 thf(sP216,plain,sP216 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP216])])). % 176.16/176.26 thf(sP217,plain,sP217 <=> ((~((sP139 => (~(sP127))))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP217])])). % 176.16/176.26 thf(sP218,plain,sP218 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP218])])). % 176.16/176.26 thf(sP219,plain,sP219 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X1) @ X4)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP219])])). % 176.16/176.26 thf(sP220,plain,sP220 <=> (![X1:$i]:((~(((~(sP197)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP220])])). % 176.16/176.26 thf(sP221,plain,sP221 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP221])])). % 176.16/176.26 thf(sP222,plain,sP222 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP222])])). % 176.16/176.26 thf(sP223,plain,sP223 <=> (![X1:$i]:((~(((~(((~(sP20)) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP223])])). % 176.16/176.26 thf(sP224,plain,sP224 <=> ((~(sP86)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP224])])). % 176.16/176.26 thf(sP225,plain,sP225 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP225])])). % 176.16/176.26 thf(sP226,plain,sP226 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP226])])). % 176.16/176.26 thf(sP227,plain,sP227 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP227])])). % 176.16/176.26 thf(sP228,plain,sP228 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP228])])). % 176.16/176.26 thf(sP229,plain,sP229 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP229])])). % 176.16/176.26 thf(sP230,plain,sP230 <=> (![X1:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP175))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP214))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP230])])). % 176.16/176.26 thf(sP231,plain,sP231 <=> ((~(((~(((~(((~(sP68)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP65))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP231])])). % 176.16/176.26 thf(sP232,plain,sP232 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP232])])). % 176.16/176.26 thf(sP233,plain,sP233 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ eigen__1) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP233])])). % 176.16/176.26 thf(sP234,plain,sP234 <=> ((~(((~(((~(((~(sP116)) => (~(sP83))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP209))))) => (~(sP72))),introduced(definition,[new_symbols(definition,[sP234])])). % 176.16/176.26 thf(sP235,plain,sP235 <=> ((~(sP168)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP235])])). % 176.16/176.26 thf(sP236,plain,sP236 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP236])])). % 176.16/176.26 thf(sP237,plain,sP237 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP237])])). % 176.16/176.26 thf(sP238,plain,sP238 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP172))),introduced(definition,[new_symbols(definition,[sP238])])). % 176.16/176.26 thf(sP239,plain,sP239 <=> (![X1:$i]:((~((sP202 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP239])])). % 176.16/176.26 thf(sP240,plain,sP240 <=> ((~((sP229 => (~(sP65))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP240])])). % 176.16/176.26 thf(sP241,plain,sP241 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP241])])). % 176.16/176.26 thf(sP242,plain,sP242 <=> ((~(sP111)) => (~(sP209))),introduced(definition,[new_symbols(definition,[sP242])])). % 176.16/176.26 thf(sP243,plain,sP243 <=> ((~(sP90)) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP243])])). % 176.16/176.26 thf(sP244,plain,sP244 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP172))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP244])])). % 176.16/176.26 thf(sP245,plain,sP245 <=> ((~(sP153)) => (~(sP83))),introduced(definition,[new_symbols(definition,[sP245])])). % 176.16/176.26 thf(sP246,plain,sP246 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP246])])). % 176.16/176.26 thf(sP247,plain,sP247 <=> (((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP247])])). % 176.16/176.26 thf(sP248,plain,sP248 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))),introduced(definition,[new_symbols(definition,[sP248])])). % 176.16/176.26 thf(sP249,plain,sP249 <=> (sP190 => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP249])])). % 176.16/176.26 thf(sP250,plain,sP250 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP250])])). % 176.16/176.26 thf(sP251,plain,sP251 <=> ((~(sP221)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP251])])). % 176.16/176.26 thf(sP252,plain,sP252 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP252])])). % 176.16/176.26 thf(sP253,plain,sP253 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP253])])). % 176.16/176.26 thf(sP254,plain,sP254 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP175))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(sP214))),introduced(definition,[new_symbols(definition,[sP254])])). % 176.16/176.26 thf(sP255,plain,sP255 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((sP209 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP255])])). % 176.16/176.26 thf(sP256,plain,sP256 <=> (sP139 => (~(sP16))),introduced(definition,[new_symbols(definition,[sP256])])). % 176.16/176.26 thf(sP257,plain,sP257 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP257])])). % 176.16/176.26 thf(sP258,plain,sP258 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP258])])). % 176.16/176.26 thf(sP259,plain,sP259 <=> (![X1:$i]:((~((sP69 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP259])])). % 176.16/176.26 thf(sP260,plain,sP260 <=> ((~(sP149)) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP260])])). % 176.16/176.26 thf(sP261,plain,sP261 <=> ((~(sP215)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP261])])). % 176.16/176.26 thf(sP262,plain,sP262 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP262])])). % 176.16/176.26 thf(sP263,plain,sP263 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP263])])). % 176.16/176.26 thf(sP264,plain,sP264 <=> (sP16 => (~(sP139))),introduced(definition,[new_symbols(definition,[sP264])])). % 176.16/176.26 thf(sP265,plain,sP265 <=> (sP250 => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP265])])). % 176.16/176.26 thf(sP266,plain,sP266 <=> ((~(sP204)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP266])])). % 176.16/176.26 thf(sP267,plain,sP267 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(sP175))),introduced(definition,[new_symbols(definition,[sP267])])). % 176.16/176.26 thf(sP268,plain,sP268 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP75)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP268])])). % 176.16/176.26 thf(sP269,plain,sP269 <=> (sP236 => (~(sP127))),introduced(definition,[new_symbols(definition,[sP269])])). % 176.16/176.26 thf(sP270,plain,sP270 <=> ((~((sP16 => (~(sP227))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP270])])). % 176.16/176.26 thf(sP271,plain,sP271 <=> ((~(((~(sP70)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP271])])). % 176.16/176.26 thf(sP272,plain,sP272 <=> ((~(sP71)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP272])])). % 176.16/176.26 thf(sP273,plain,sP273 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP273])])). % 176.16/176.26 thf(sP274,plain,sP274 <=> ((~(((~(((~(sP74)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(sP65))),introduced(definition,[new_symbols(definition,[sP274])])). % 176.16/176.26 thf(sP275,plain,sP275 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(sP65))))) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP275])])). % 176.16/176.26 thf(sP276,plain,sP276 <=> ((~((sP69 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP128))),introduced(definition,[new_symbols(definition,[sP276])])). % 176.16/176.26 thf(sP277,plain,sP277 <=> ((~(sP116)) => (~(sP83))),introduced(definition,[new_symbols(definition,[sP277])])). % 176.16/176.26 thf(sP278,plain,sP278 <=> ((~(sP46)) => (~(sP214))),introduced(definition,[new_symbols(definition,[sP278])])). % 176.16/176.26 thf(sP279,plain,sP279 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP172))),introduced(definition,[new_symbols(definition,[sP279])])). % 176.16/176.26 thf(sP280,plain,sP280 <=> (sP69 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP280])])). % 176.16/176.26 thf(sP281,plain,sP281 <=> ((~(sP267)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP281])])). % 176.16/176.26 thf(sP282,plain,sP282 <=> ((~(((~(sP31)) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP282])])). % 176.16/176.26 thf(sP283,plain,sP283 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~(sP169)) => (~(sP228))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP283])])). % 176.16/176.26 thf(sP284,plain,sP284 <=> ((~(sP148)) => sP65),introduced(definition,[new_symbols(definition,[sP284])])). % 176.16/176.26 thf(sP285,plain,sP285 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP228))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP285])])). % 176.16/176.26 thf(sP286,plain,sP286 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP286])])). % 176.16/176.26 thf(sP287,plain,sP287 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP287])])). % 176.16/176.26 thf(sP288,plain,sP288 <=> (![X1:$i]:((~(((~(((~(sP245)) => (~(sP214))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP288])])). % 176.16/176.26 thf(sP289,plain,sP289 <=> ((~(sP113)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP289])])). % 176.16/176.26 thf(sP290,plain,sP290 <=> (![X1:$i]:((~(((~(((~(sP67)) => (~(sP228))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP290])])). % 176.16/176.26 thf(sP291,plain,sP291 <=> (((r @ eigen__1) @ (eigen__0 @ eigen__1)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP291])])). % 176.16/176.26 thf(sP292,plain,sP292 <=> ((~(sP48)) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP292])])). % 176.16/176.26 thf(sP293,plain,sP293 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~((sP229 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP293])])). % 176.16/176.26 thf(sP294,plain,sP294 <=> (![X1:$i]:((~((sP273 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP294])])). % 176.16/176.26 thf(sP295,plain,sP295 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => sP69),introduced(definition,[new_symbols(definition,[sP295])])). % 176.16/176.26 thf(sP296,plain,sP296 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP296])])). % 176.16/176.26 thf(sP297,plain,sP297 <=> ((~(sP145)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP297])])). % 176.16/176.26 thf(sP298,plain,sP298 <=> ((~(((~((eigen__1 = (eigen__0 @ eigen__1)))) => ((r @ eigen__1) @ (eigen__0 @ eigen__1))))) => ((b @ eigen__1) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP298])])). % 176.16/176.26 thf(sP299,plain,sP299 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP299])])). % 176.16/176.26 thf(sP300,plain,sP300 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)) => (~(sP128))))) => (~(sP273))),introduced(definition,[new_symbols(definition,[sP300])])). % 176.16/176.26 thf(sP301,plain,sP301 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP301])])). % 176.16/176.26 thf(sP302,plain,sP302 <=> ((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP190))))) => (~(sP69))),introduced(definition,[new_symbols(definition,[sP302])])). % 176.16/176.26 thf(sP303,plain,sP303 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1),introduced(definition,[new_symbols(definition,[sP303])])). % 176.16/176.26 thf(sP304,plain,sP304 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP304])])). % 176.16/176.26 thf(sP305,plain,sP305 <=> ((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)))) => sP127))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP305])])). % 176.16/176.26 thf(sP306,plain,sP306 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP306])])). % 176.16/176.26 thf(sP307,plain,sP307 <=> (![X1:$i]:((~(((~(sP237)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP307])])). % 176.16/176.26 thf(sP308,plain,sP308 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP308])])). % 176.16/176.26 thf(sP309,plain,sP309 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP309])])). % 176.16/176.26 thf(sP310,plain,sP310 <=> ((~(((~(sP199)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP310])])). % 176.16/176.26 thf(sP311,plain,sP311 <=> (((r @ (eigen__0 @ eigen__1)) @ eigen__1) => (~(sP193))),introduced(definition,[new_symbols(definition,[sP311])])). % 176.16/176.26 thf(sP312,plain,sP312 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP312])])). % 176.16/176.26 thf(sP313,plain,sP313 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~(sP28)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP313])])). % 176.16/176.26 thf(sP314,plain,sP314 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP314])])). % 176.16/176.26 thf(sP315,plain,sP315 <=> (![X1:$i]:(~(((eigen__0 @ X1) = eigen__1)))),introduced(definition,[new_symbols(definition,[sP315])])). % 176.16/176.26 thf(sP316,plain,sP316 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP316])])). % 176.16/176.26 thf(sP317,plain,sP317 <=> ((~(sP44)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP317])])). % 176.16/176.26 thf(sP318,plain,sP318 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP318])])). % 176.16/176.26 thf(sP319,plain,sP319 <=> ((r @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP319])])). % 176.16/176.26 thf(sP320,plain,sP320 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP320])])). % 176.16/176.26 thf(sP321,plain,sP321 <=> ((~(sP278)) => (~(sP228))),introduced(definition,[new_symbols(definition,[sP321])])). % 176.16/176.26 thf(sP322,plain,sP322 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP322])])). % 176.16/176.26 thf(sP323,plain,sP323 <=> ((~(sP49)) => sP320),introduced(definition,[new_symbols(definition,[sP323])])). % 176.16/176.26 thf(sP324,plain,sP324 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP324])])). % 176.16/176.26 thf(sP325,plain,sP325 <=> ((~(sP277)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP325])])). % 176.16/176.26 thf(sP326,plain,sP326 <=> (sP324 => (~(sP172))),introduced(definition,[new_symbols(definition,[sP326])])). % 176.16/176.26 thf(sP327,plain,sP327 <=> (![X1:$i]:((~(((~(((~(((~(sP68)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP65))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP327])])). % 176.16/176.26 thf(sP328,plain,sP328 <=> ((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP16))) => sP229),introduced(definition,[new_symbols(definition,[sP328])])). % 176.16/176.26 thf(sP329,plain,sP329 <=> (![X1:$i]:(![X2:$i]:((~((((r @ eigen__1) @ X1) => (~(((r @ eigen__1) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP329])])). % 176.16/176.26 thf(sP330,plain,sP330 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)) => (~(sP128))),introduced(definition,[new_symbols(definition,[sP330])])). % 176.16/176.26 thf(sP331,plain,sP331 <=> (![X1:$i]:((~(((~(sP25)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP331])])). % 176.16/176.26 thf(sP332,plain,sP332 <=> (sP193 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP332])])). % 176.16/176.26 thf(sP333,plain,sP333 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP319))),introduced(definition,[new_symbols(definition,[sP333])])). % 176.16/176.26 thf(sP334,plain,sP334 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP334])])). % 176.16/176.26 thf(sP335,plain,sP335 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~(sP138)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP335])])). % 176.16/176.26 thf(sP336,plain,sP336 <=> (sP322 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP336])])). % 176.16/176.26 thf(sP337,plain,sP337 <=> ((~(sP144)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP337])])). % 176.16/176.26 thf(sP338,plain,sP338 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP159))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP338])])). % 176.16/176.26 thf(sP339,plain,sP339 <=> ((~((sP236 => (~(sP227))))) => (~(sP69))),introduced(definition,[new_symbols(definition,[sP339])])). % 176.16/176.26 thf(sP340,plain,sP340 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP340])])). % 176.16/176.26 thf(sP341,plain,sP341 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP341])])). % 176.16/176.26 thf(sP342,plain,sP342 <=> (sP65 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP342])])). % 176.16/176.26 thf(sP343,plain,sP343 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP343])])). % 176.16/176.26 thf(sP344,plain,sP344 <=> ((~(sP332)) => (~(sP318))),introduced(definition,[new_symbols(definition,[sP344])])). % 176.16/176.26 thf(sP345,plain,sP345 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP95)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP345])])). % 176.16/176.26 thf(sP346,plain,sP346 <=> (![X1:$i]:((~((sP139 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP346])])). % 176.16/176.26 thf(sP347,plain,sP347 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((sP65 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP347])])). % 176.16/176.26 thf(sP348,plain,sP348 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP348])])). % 176.16/176.26 thf(sP349,plain,sP349 <=> ((~(((~(sP154)) => (~(sP232))))) => (~(sP348))),introduced(definition,[new_symbols(definition,[sP349])])). % 176.16/176.26 thf(sP350,plain,sP350 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((r @ X1) @ X2) => (~(((r @ X1) @ X3)))))) => (~(((r @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP350])])). % 176.16/176.26 thf(sP351,plain,sP351 <=> ((~(sP122)) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP351])])). % 176.16/176.26 thf(sP352,plain,sP352 <=> ((~(sP28)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP352])])). % 176.16/176.26 thf(sP353,plain,sP353 <=> ((~(sP136)) => sP200),introduced(definition,[new_symbols(definition,[sP353])])). % 176.16/176.26 thf(sP354,plain,sP354 <=> ((~(sP88)) => (~(sP65))),introduced(definition,[new_symbols(definition,[sP354])])). % 176.16/176.26 thf(sP355,plain,sP355 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP355])])). % 176.16/176.26 thf(sP356,plain,sP356 <=> (![X1:$i]:((~(((~(((~(((~(sP85)) => (~(sP159))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP356])])). % 176.16/176.26 thf(sP357,plain,sP357 <=> ((~(sP274)) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP357])])). % 176.16/176.26 thf(sP358,plain,sP358 <=> ((~(sP296)) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP358])])). % 176.16/176.26 thf(sP359,plain,sP359 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))),introduced(definition,[new_symbols(definition,[sP359])])). % 176.16/176.26 thf(sP360,plain,sP360 <=> ((~((sP69 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP360])])). % 176.16/176.26 thf(sP361,plain,sP361 <=> ((~(sP140)) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP361])])). % 176.16/176.26 thf(sP362,plain,sP362 <=> ((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP228))))) => (~(sP316))))) => (~(sP314))))) => (~(sP316))),introduced(definition,[new_symbols(definition,[sP362])])). % 176.16/176.26 thf(sP363,plain,sP363 <=> ((~(sP266)) => (~(sP348))),introduced(definition,[new_symbols(definition,[sP363])])). % 176.16/176.26 thf(sP364,plain,sP364 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP364])])). % 176.16/176.26 thf(sP365,plain,sP365 <=> (![X1:$i]:((~(((~(sP122)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP365])])). % 176.16/176.26 thf(sP366,plain,sP366 <=> (sP172 => (~(sP324))),introduced(definition,[new_symbols(definition,[sP366])])). % 176.16/176.26 thf(sP367,plain,sP367 <=> ((~(((~(sP122)) => (~(sP228))))) => (~(sP228))),introduced(definition,[new_symbols(definition,[sP367])])). % 176.16/176.26 thf(sP368,plain,sP368 <=> ((~(((~((sP72 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(sP348))))) => (~(sP209))),introduced(definition,[new_symbols(definition,[sP368])])). % 176.16/176.26 thf(sP369,plain,sP369 <=> ((~(((~(sP120)) => sP318))) => sP316),introduced(definition,[new_symbols(definition,[sP369])])). % 176.16/176.26 thf(sP370,plain,sP370 <=> ((~(((~(((~(sP308)) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))))) => (~(sP232))))) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP370])])). % 176.16/176.26 thf(sP371,plain,sP371 <=> ((b @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP371])])). % 176.16/176.26 thf(sP372,plain,sP372 <=> (sP188 => sP49),introduced(definition,[new_symbols(definition,[sP372])])). % 176.16/176.26 thf(sP373,plain,sP373 <=> ((~(((~(sP3)) => sP139))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP373])])). % 176.16/176.26 thf(sP374,plain,sP374 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP374])])). % 176.16/176.26 thf(sP375,plain,sP375 <=> (![X1:$i]:((~(((~(((~(((~(sP40)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))))) => (~(sP232))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP375])])). % 176.16/176.26 thf(sP376,plain,sP376 <=> ((~(sP154)) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP376])])). % 176.16/176.26 thf(sP377,plain,sP377 <=> ((~(sP207)) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP377])])). % 176.16/176.26 thf(sP378,plain,sP378 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((sP371 => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP378])])). % 176.16/176.26 thf(sP379,plain,sP379 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP154)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP379])])). % 176.16/176.26 thf(sP380,plain,sP380 <=> (sP314 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP380])])). % 176.16/176.26 thf(sP381,plain,sP381 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP381])])). % 176.16/176.26 thf(sP382,plain,sP382 <=> ((~(((~(((~(sP20)) => (~(sP371))))) => (~(sP159))))) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP382])])). % 176.16/176.26 thf(sP383,plain,sP383 <=> ((~(((~(sP308)) => (~(sP371))))) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP383])])). % 176.16/176.26 thf(sP384,plain,sP384 <=> ((~(sP125)) => (~(sP316))),introduced(definition,[new_symbols(definition,[sP384])])). % 176.16/176.26 thf(sP385,plain,sP385 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP46)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP385])])). % 176.16/176.26 thf(sP386,plain,sP386 <=> ((~(sP323)) => sP250),introduced(definition,[new_symbols(definition,[sP386])])). % 176.16/176.26 thf(sP387,plain,sP387 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~(sP265)) => (~(sP175))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP387])])). % 176.16/176.26 thf(sP388,plain,sP388 <=> (sP273 => (~(sP193))),introduced(definition,[new_symbols(definition,[sP388])])). % 176.16/176.26 thf(sP389,plain,sP389 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP273))),introduced(definition,[new_symbols(definition,[sP389])])). % 176.16/176.26 thf(sP390,plain,sP390 <=> (![X1:$i]:((~(((~(sP105)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP390])])). % 176.16/176.26 thf(sP391,plain,sP391 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP391])])). % 176.16/176.26 thf(sP392,plain,sP392 <=> ((~(sP355)) => ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP392])])). % 176.16/176.26 thf(sP393,plain,sP393 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP393])])). % 176.16/176.26 thf(sP394,plain,sP394 <=> ((~((sP72 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(sP348))),introduced(definition,[new_symbols(definition,[sP394])])). % 176.16/176.26 thf(sP395,plain,sP395 <=> (sP364 => sP120),introduced(definition,[new_symbols(definition,[sP395])])). % 176.16/176.26 thf(sP396,plain,sP396 <=> (![X1:$i]:((~(((~(sP100)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP396])])). % 176.16/176.26 thf(sP397,plain,sP397 <=> (![X1:$i]:((~((sP190 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP397])])). % 176.16/176.26 thf(sP398,plain,sP398 <=> (![X1:$i]:((~(((~(sP78)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP398])])). % 176.16/176.26 thf(sP399,plain,sP399 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => sP188),introduced(definition,[new_symbols(definition,[sP399])])). % 176.16/176.26 thf(sP400,plain,sP400 <=> ((~(sP279)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP400])])). % 176.16/176.26 thf(sP401,plain,sP401 <=> ((~(sP380)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP401])])). % 176.16/176.26 thf(sP402,plain,sP402 <=> (![X1:$i]:((~((sP319 => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP402])])). % 176.16/176.26 thf(sP403,plain,sP403 <=> (eigen__1 = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP403])])). % 176.16/176.26 thf(sP404,plain,sP404 <=> ((~(((~(sP222)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))) => sP214),introduced(definition,[new_symbols(definition,[sP404])])). % 176.16/176.26 thf(sP405,plain,sP405 <=> ((~(((~(((~(sP138)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP371))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP405])])). % 176.16/176.26 thf(sP406,plain,sP406 <=> ((~(sP308)) => (~(sP371))),introduced(definition,[new_symbols(definition,[sP406])])). % 176.16/176.26 thf(sP407,plain,sP407 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP407])])). % 176.16/176.26 thf(sP408,plain,sP408 <=> ((~(sP176)) => (~(sP324))),introduced(definition,[new_symbols(definition,[sP408])])). % 176.16/176.26 thf(sP409,plain,sP409 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP296),introduced(definition,[new_symbols(definition,[sP409])])). % 176.16/176.26 thf(sP410,plain,sP410 <=> ((~(sP100)) => (~(sP65))),introduced(definition,[new_symbols(definition,[sP410])])). % 176.16/176.26 thf(sP411,plain,sP411 <=> (sP222 => sP303),introduced(definition,[new_symbols(definition,[sP411])])). % 176.16/176.26 thf(sP412,plain,sP412 <=> ((~(((~(sP68)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP65))),introduced(definition,[new_symbols(definition,[sP412])])). % 176.16/176.26 thf(sP413,plain,sP413 <=> (![X1:$i]:((~((((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ eigen__1) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP413])])). % 176.16/176.26 thf(sP414,plain,sP414 <=> (![X1:$i]:((~((sP227 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP414])])). % 176.16/176.26 thf(sP415,plain,sP415 <=> (![X1:$i]:(((eigen__0 @ eigen__1) = (eigen__0 @ X1)) => (eigen__1 = X1))),introduced(definition,[new_symbols(definition,[sP415])])). % 176.16/176.26 thf(sP416,plain,sP416 <=> ((~((eigen__1 = (eigen__0 @ eigen__1)))) => sP319),introduced(definition,[new_symbols(definition,[sP416])])). % 176.16/176.26 thf(sP417,plain,sP417 <=> (![X1:$i]:((~(((~(((~(((~(sP138)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP371))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP417])])). % 176.16/176.26 thf(sP418,plain,sP418 <=> ((~(sP197)) => (~(sP348))),introduced(definition,[new_symbols(definition,[sP418])])). % 176.16/176.26 thf(sP419,plain,sP419 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((sP229 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP419])])). % 176.16/176.26 thf(sP420,plain,sP420 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP420])])). % 176.16/176.26 thf(sP421,plain,sP421 <=> ((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP159))))) => (~(sP371))))) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP421])])). % 176.16/176.26 thf(sP422,plain,sP422 <=> ((~(((~(sP75)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP422])])). % 176.16/176.26 thf(sP423,plain,sP423 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP381))))) => (~(sP324))),introduced(definition,[new_symbols(definition,[sP423])])). % 176.16/176.26 thf(sP424,plain,sP424 <=> ((~(sP410)) => (~(sP65))),introduced(definition,[new_symbols(definition,[sP424])])). % 176.16/176.26 thf(sP425,plain,sP425 <=> (![X1:$i]:((~(((~(((~(((~(sP74)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP371))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP425])])). % 176.16/176.26 thf(sP426,plain,sP426 <=> ((~(sP246)) => (~(sP236))),introduced(definition,[new_symbols(definition,[sP426])])). % 176.16/176.26 thf(sP427,plain,sP427 <=> ((~(sP260)) => sP209),introduced(definition,[new_symbols(definition,[sP427])])). % 176.16/176.26 thf(sP428,plain,sP428 <=> ((~(sP33)) => (~(sP236))),introduced(definition,[new_symbols(definition,[sP428])])). % 176.16/176.26 thf(sP429,plain,sP429 <=> ((~(sP96)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP429])])). % 176.16/176.26 thf(sP430,plain,sP430 <=> (![X1:$i]:((~(((~(sP70)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP430])])). % 176.16/176.26 thf(sP431,plain,sP431 <=> ((~(sP68)) => (~(sP420))),introduced(definition,[new_symbols(definition,[sP431])])). % 176.16/176.26 thf(sP432,plain,sP432 <=> ((~(sP169)) => (~(sP228))),introduced(definition,[new_symbols(definition,[sP432])])). % 176.16/176.26 thf(sP433,plain,sP433 <=> ((~((sP314 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP433])])). % 176.16/176.26 thf(sP434,plain,sP434 <=> ((~(sP120)) => sP318),introduced(definition,[new_symbols(definition,[sP434])])). % 176.16/176.26 thf(sP435,plain,sP435 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP435])])). % 176.16/176.26 thf(sP436,plain,sP436 <=> ((~((sP193 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP436])])). % 176.16/176.26 thf(sP437,plain,sP437 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP437])])). % 176.16/176.26 thf(sP438,plain,sP438 <=> ((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP159))))) => (~(sP371))),introduced(definition,[new_symbols(definition,[sP438])])). % 176.16/176.26 thf(sP439,plain,sP439 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP401)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP439])])). % 176.16/176.26 thf(sP440,plain,sP440 <=> ((~(sP109)) => (~(sP381))),introduced(definition,[new_symbols(definition,[sP440])])). % 176.16/176.26 thf(sP441,plain,sP441 <=> (((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP371))),introduced(definition,[new_symbols(definition,[sP441])])). % 176.16/176.26 thf(sP442,plain,sP442 <=> ((~(sP85)) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP442])])). % 176.16/176.26 thf(sP443,plain,sP443 <=> ((~(sP203)) => (~(sP83))),introduced(definition,[new_symbols(definition,[sP443])])). % 176.16/176.26 thf(sP444,plain,sP444 <=> ((~(sP349)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP444])])). % 176.16/176.26 thf(sP445,plain,sP445 <=> ((~(sP304)) => (~(sP371))),introduced(definition,[new_symbols(definition,[sP445])])). % 176.16/176.26 thf(sP446,plain,sP446 <=> (sP236 => (~(sP227))),introduced(definition,[new_symbols(definition,[sP446])])). % 176.16/176.26 thf(sP447,plain,sP447 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP447])])). % 176.16/176.26 thf(sP448,plain,sP448 <=> ((~(sP142)) => (~(sP320))),introduced(definition,[new_symbols(definition,[sP448])])). % 176.16/176.26 thf(sP449,plain,sP449 <=> ((~((sP172 => (~(sP318))))) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP449])])). % 176.16/176.26 thf(sP450,plain,sP450 <=> ((~(sP265)) => (~(sP175))),introduced(definition,[new_symbols(definition,[sP450])])). % 176.16/176.26 thf(sP451,plain,sP451 <=> ((~(sP245)) => (~(sP214))),introduced(definition,[new_symbols(definition,[sP451])])). % 176.16/176.26 thf(sP452,plain,sP452 <=> (![X1:$i]:((~(((~(sP76)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP452])])). % 176.16/176.26 thf(sP453,plain,sP453 <=> ((~(sP442)) => (~(sP371))),introduced(definition,[new_symbols(definition,[sP453])])). % 176.16/176.26 thf(sP454,plain,sP454 <=> (eigen__1 = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP454])])). % 176.16/176.26 thf(sP455,plain,sP455 <=> ((~(sP185)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP455])])). % 176.16/176.26 thf(sP456,plain,sP456 <=> ((~(sP7)) => sP205),introduced(definition,[new_symbols(definition,[sP456])])). % 176.16/176.26 thf(sP457,plain,sP457 <=> ((~(sP76)) => (~(((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP457])])). % 176.16/176.26 thf(sP458,plain,sP458 <=> ((~(sP405)) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP458])])). % 176.16/176.26 thf(sP459,plain,sP459 <=> ((~(sP107)) => (~(((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP459])])). % 176.16/176.26 thf(sP460,plain,sP460 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(sP172))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP460])])). % 176.16/176.26 thf(sP461,plain,sP461 <=> (sP69 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP461])])). % 176.16/176.26 thf(sP462,plain,sP462 <=> ((~(sP451)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP462])])). % 176.16/176.26 thf(sP463,plain,sP463 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP112)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP463])])). % 176.16/176.26 thf(sP464,plain,sP464 <=> (sP381 => (~(sP69))),introduced(definition,[new_symbols(definition,[sP464])])). % 176.16/176.26 thf(sP465,plain,sP465 <=> ((~(sP441)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP465])])). % 176.16/176.26 thf(sP466,plain,sP466 <=> ((~(sP432)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP466])])). % 176.16/176.26 thf(sP467,plain,sP467 <=> (sP229 => (~(sP65))),introduced(definition,[new_symbols(definition,[sP467])])). % 176.16/176.26 thf(sP468,plain,sP468 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP468])])). % 176.16/176.26 thf(sP469,plain,sP469 <=> (sP193 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP469])])). % 176.16/176.26 thf(sP470,plain,sP470 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(((~(sP156)) => (~(sP83))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP470])])). % 176.16/176.26 thf(sP471,plain,sP471 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP471])])). % 176.16/176.26 thf(sP472,plain,sP472 <=> ((~(sP435)) => (~(sP139))),introduced(definition,[new_symbols(definition,[sP472])])). % 176.16/176.26 thf(sP473,plain,sP473 <=> (sP340 => sP218),introduced(definition,[new_symbols(definition,[sP473])])). % 176.16/176.26 thf(sP474,plain,sP474 <=> (sP273 => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))),introduced(definition,[new_symbols(definition,[sP474])])). % 176.16/176.26 thf(sP475,plain,sP475 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP475])])). % 176.16/176.26 thf(sP476,plain,sP476 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))))) => (~(sP16))),introduced(definition,[new_symbols(definition,[sP476])])). % 176.16/176.26 thf(sP477,plain,sP477 <=> (((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP190))),introduced(definition,[new_symbols(definition,[sP477])])). % 176.16/176.26 thf(sP478,plain,sP478 <=> (sP120 => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP478])])). % 176.16/176.26 thf(sP479,plain,sP479 <=> ((~(((~(sP138)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP371))),introduced(definition,[new_symbols(definition,[sP479])])). % 176.16/176.26 thf(sP480,plain,sP480 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => sP227),introduced(definition,[new_symbols(definition,[sP480])])). % 176.16/176.26 thf(sP481,plain,sP481 <=> ((~(sP253)) => (~(sP193))),introduced(definition,[new_symbols(definition,[sP481])])). % 176.16/176.26 thf(sP482,plain,sP482 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP482])])). % 176.16/176.26 thf(sP483,plain,sP483 <=> ((~((sP127 => (~(sP236))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP483])])). % 176.16/176.26 thf(sP484,plain,sP484 <=> (![X1:$i]:((~(((~(sP38)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP484])])). % 176.16/176.26 thf(sP485,plain,sP485 <=> (sP16 => (~(sP236))),introduced(definition,[new_symbols(definition,[sP485])])). % 176.16/176.26 thf(sP486,plain,sP486 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP486])])). % 176.16/176.26 thf(sP487,plain,sP487 <=> ((~(((~(sP67)) => (~(sP228))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP487])])). % 176.16/176.26 thf(sP488,plain,sP488 <=> ((~(sP189)) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP488])])). % 176.16/176.26 thf(sP489,plain,sP489 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP489])])). % 176.16/176.26 thf(sP490,plain,sP490 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP490])])). % 176.16/176.26 thf(sP491,plain,sP491 <=> (![X1:$i]:((~((sP490 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP491])])). % 176.16/176.26 thf(sP492,plain,sP492 <=> ((~(sP67)) => (~(sP228))),introduced(definition,[new_symbols(definition,[sP492])])). % 176.16/176.26 thf(sP493,plain,sP493 <=> ((~(sP389)) => (~(sP128))),introduced(definition,[new_symbols(definition,[sP493])])). % 176.16/176.26 thf(sP494,plain,sP494 <=> (![X1:$i]:((~(((~(sP466)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP494])])). % 176.16/176.26 thf(sP495,plain,sP495 <=> (sP482 => sP149),introduced(definition,[new_symbols(definition,[sP495])])). % 176.16/176.26 thf(sP496,plain,sP496 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP496])])). % 176.16/176.26 thf(sP497,plain,sP497 <=> (![X1:$i]:(![X2:$i]:((X1 = X2) => (X2 = X1)))),introduced(definition,[new_symbols(definition,[sP497])])). % 176.16/176.26 thf(sP498,plain,sP498 <=> ((~(sP303)) => sP490),introduced(definition,[new_symbols(definition,[sP498])])). % 176.16/176.26 thf(sP499,plain,sP499 <=> ((~(sP304)) => (~(sP228))),introduced(definition,[new_symbols(definition,[sP499])])). % 176.16/176.26 thf(sP500,plain,sP500 <=> (sP273 => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP500])])). % 176.16/176.26 thf(sP501,plain,sP501 <=> (![X1:$i]:((~(((~(sP499)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP501])])). % 176.16/176.26 thf(sP502,plain,sP502 <=> (sP348 => (~(sP65))),introduced(definition,[new_symbols(definition,[sP502])])). % 176.16/176.26 thf(sP503,plain,sP503 <=> (sP393 => sP343),introduced(definition,[new_symbols(definition,[sP503])])). % 176.16/176.26 thf(sP504,plain,sP504 <=> (![X1:$i]:((~((sP381 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP504])])). % 176.16/176.26 thf(sP505,plain,sP505 <=> ((~(sP46)) => (~(sP200))),introduced(definition,[new_symbols(definition,[sP505])])). % 176.16/176.26 thf(sP506,plain,sP506 <=> ((~(sP194)) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP506])])). % 176.16/176.26 thf(sP507,plain,sP507 <=> ((~(sP157)) => (~(sP190))),introduced(definition,[new_symbols(definition,[sP507])])). % 176.16/176.26 thf(sP508,plain,sP508 <=> (sP496 => (~(sP324))),introduced(definition,[new_symbols(definition,[sP508])])). % 176.16/176.26 thf(sP509,plain,sP509 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP304)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP509])])). % 176.16/176.26 thf(sP510,plain,sP510 <=> ((~(sP143)) => sP83),introduced(definition,[new_symbols(definition,[sP510])])). % 176.16/176.26 thf(sP511,plain,sP511 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP511])])). % 176.16/176.26 thf(sP512,plain,sP512 <=> (sP190 => (~(sP320))),introduced(definition,[new_symbols(definition,[sP512])])). % 176.16/176.26 thf(sP513,plain,sP513 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP406)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP513])])). % 176.16/176.27 thf(sP514,plain,sP514 <=> ((~(sP485)) => (~(sP318))),introduced(definition,[new_symbols(definition,[sP514])])). % 176.16/176.27 thf(sP515,plain,sP515 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP515])])). % 176.16/176.27 thf(sP516,plain,sP516 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP516])])). % 176.16/176.27 thf(sP517,plain,sP517 <=> (![X1:$i]:((~(((~(sP44)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP517])])). % 176.16/176.27 thf(sP518,plain,sP518 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP240)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP518])])). % 176.16/176.27 thf(sP519,plain,sP519 <=> ((~(sP38)) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP519])])). % 176.16/176.27 thf(sP520,plain,sP520 <=> (![X1:$i]:((~(((~(sP376)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP520])])). % 176.16/176.27 thf(sP521,plain,sP521 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP521])])). % 176.16/176.27 thf(sP522,plain,sP522 <=> ((~(sP191)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP522])])). % 176.16/176.27 thf(sP523,plain,sP523 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))))) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP523])])). % 176.16/176.27 thf(sP524,plain,sP524 <=> ((~(sP477)) => (~(sP496))),introduced(definition,[new_symbols(definition,[sP524])])). % 176.16/176.27 thf(sP525,plain,sP525 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP525])])). % 176.16/176.27 thf(sP526,plain,sP526 <=> ((~(sP173)) => sP159),introduced(definition,[new_symbols(definition,[sP526])])). % 176.16/176.27 thf(sP527,plain,sP527 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = X1))),introduced(definition,[new_symbols(definition,[sP527])])). % 176.16/176.27 thf(sP528,plain,sP528 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))))) => (~(sP319))),introduced(definition,[new_symbols(definition,[sP528])])). % 176.16/176.27 thf(sP529,plain,sP529 <=> (sP229 => (~(sP348))),introduced(definition,[new_symbols(definition,[sP529])])). % 176.16/176.27 thf(sP530,plain,sP530 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP530])])). % 176.16/176.27 thf(sP531,plain,sP531 <=> ((~((sP232 => (~(sP209))))) => (~(sP420))),introduced(definition,[new_symbols(definition,[sP531])])). % 176.16/176.27 thf(sP532,plain,sP532 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) = eigen__1),introduced(definition,[new_symbols(definition,[sP532])])). % 176.16/176.27 thf(sP533,plain,sP533 <=> ((~(sP75)) => (~(sP489))),introduced(definition,[new_symbols(definition,[sP533])])). % 176.16/176.27 thf(sP534,plain,sP534 <=> (![X1:$i]:((~(((~(((~(((~((((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP228))))) => (~(sP316))))) => (~(sP314))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP534])])). % 176.16/176.27 thf(sP535,plain,sP535 <=> ((~(sP421)) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP535])])). % 176.16/176.27 thf(sP536,plain,sP536 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP536])])). % 176.16/176.27 thf(sP537,plain,sP537 <=> (sP314 => (~(sP447))),introduced(definition,[new_symbols(definition,[sP537])])). % 176.16/176.27 thf(sP538,plain,sP538 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP538])])). % 176.16/176.27 thf(sP539,plain,sP539 <=> ((~(sP508)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP539])])). % 176.16/176.27 thf(sP540,plain,sP540 <=> ((b @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP540])])). % 176.16/176.27 thf(sP541,plain,sP541 <=> ((eigen__0 @ eigen__1) = eigen__1),introduced(definition,[new_symbols(definition,[sP541])])). % 176.16/176.27 thf(sP542,plain,sP542 <=> ((~(sP62)) => sP228),introduced(definition,[new_symbols(definition,[sP542])])). % 176.16/176.27 thf(sP543,plain,sP543 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X1) @ X4)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP543])])). % 176.16/176.27 thf(sP544,plain,sP544 <=> ((~(sP368)) => (~(sP348))),introduced(definition,[new_symbols(definition,[sP544])])). % 176.16/176.27 thf(sP545,plain,sP545 <=> (![X1:$i]:((~((sP516 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP545])])). % 176.16/176.27 thf(sP546,plain,sP546 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP546])])). % 176.16/176.27 thf(sP547,plain,sP547 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP547])])). % 176.16/176.27 thf(sP548,plain,sP548 <=> (sP16 => (~(sP227))),introduced(definition,[new_symbols(definition,[sP548])])). % 176.16/176.27 thf(sP549,plain,sP549 <=> ((~(sP138)) => (~(sP547))),introduced(definition,[new_symbols(definition,[sP549])])). % 176.16/176.27 thf(sP550,plain,sP550 <=> (![X1:$i]:((~(((~(sP325)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP550])])). % 176.16/176.27 thf(sP551,plain,sP551 <=> (![X1:$i]:((~(((~(sP195)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP551])])). % 176.16/176.27 thf(sP552,plain,sP552 <=> (![X1:$i]:((~(((~(sP505)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP552])])). % 176.16/176.27 thf(sP553,plain,sP553 <=> (sP139 => (~(sP127))),introduced(definition,[new_symbols(definition,[sP553])])). % 176.16/176.27 thf(sP554,plain,sP554 <=> (sP172 => (~(sP202))),introduced(definition,[new_symbols(definition,[sP554])])). % 176.16/176.27 thf(sP555,plain,sP555 <=> ((~((sP540 => (~(sP228))))) => (~(sP316))),introduced(definition,[new_symbols(definition,[sP555])])). % 176.16/176.27 thf(sP556,plain,sP556 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(![X5:$i]:((~(((~(((~(((~((((b @ X1) @ X2) => (~(((b @ X1) @ X3)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X3) @ X4)))))) => (~(((b @ X2) @ X5)))))) => (~(((b @ X4) @ X5))))))))),introduced(definition,[new_symbols(definition,[sP556])])). % 176.16/176.27 thf(sP557,plain,sP557 <=> ((~(sP412)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP557])])). % 176.16/176.27 thf(sP558,plain,sP558 <=> ((r @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP558])])). % 176.16/176.27 thf(sP559,plain,sP559 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP559])])). % 176.16/176.27 thf(sP560,plain,sP560 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ X1)) => ((eigen__0 @ eigen__1) = X1))),introduced(definition,[new_symbols(definition,[sP560])])). % 176.16/176.27 thf(sP561,plain,sP561 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP431)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP561])])). % 176.16/176.27 thf(sP562,plain,sP562 <=> (sP127 => (~(sP236))),introduced(definition,[new_symbols(definition,[sP562])])). % 176.16/176.27 thf(sP563,plain,sP563 <=> ((~(sP195)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))),introduced(definition,[new_symbols(definition,[sP563])])). % 176.16/176.27 thf(sP564,plain,sP564 <=> (sP319 => (~(sP525))),introduced(definition,[new_symbols(definition,[sP564])])). % 176.16/176.27 thf(sP565,plain,sP565 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((sP489 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ eigen__1) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP565])])). % 176.16/176.27 thf(sP566,plain,sP566 <=> (sP540 => (~(sP228))),introduced(definition,[new_symbols(definition,[sP566])])). % 176.16/176.27 thf(sP567,plain,sP567 <=> ((~(sP20)) => (~(sP371))),introduced(definition,[new_symbols(definition,[sP567])])). % 176.16/176.27 thf(sP568,plain,sP568 <=> ((~(sP286)) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP568])])). % 176.16/176.27 thf(sP569,plain,sP569 <=> (![X1:$i]:((~(((~(sP31)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP569])])). % 176.16/176.27 thf(sP570,plain,sP570 <=> (sP486 => (~(sP193))),introduced(definition,[new_symbols(definition,[sP570])])). % 176.16/176.27 thf(sP571,plain,sP571 <=> ((~(sP388)) => (~(sP16))),introduced(definition,[new_symbols(definition,[sP571])])). % 176.16/176.27 thf(sP572,plain,sP572 <=> ((~(sP519)) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP572])])). % 176.16/176.27 thf(sP573,plain,sP573 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~(((~(((~(((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ X2) @ X3)))))) => (~(((b @ X1) @ X4)))))) => (~(((b @ X3) @ X4)))))))),introduced(definition,[new_symbols(definition,[sP573])])). % 176.16/176.27 thf(sP574,plain,sP574 <=> ((~((sP486 => (~(sP558))))) => (~(sP490))),introduced(definition,[new_symbols(definition,[sP574])])). % 176.16/176.27 thf(sP575,plain,sP575 <=> (sP316 => (~(sP489))),introduced(definition,[new_symbols(definition,[sP575])])). % 176.16/176.27 thf(sP576,plain,sP576 <=> ((~(sP321)) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP576])])). % 176.16/176.27 thf(sP577,plain,sP577 <=> ((~(sP295)) => sP447),introduced(definition,[new_symbols(definition,[sP577])])). % 176.16/176.27 thf(sP578,plain,sP578 <=> (sP559 => (~(sP447))),introduced(definition,[new_symbols(definition,[sP578])])). % 176.16/176.27 thf(sP579,plain,sP579 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP275)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP579])])). % 176.16/176.27 thf(sP580,plain,sP580 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP277)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP580])])). % 176.16/176.27 thf(sP581,plain,sP581 <=> (![X1:$i]:((~(((~(sP10)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP581])])). % 176.16/176.27 thf(sP582,plain,sP582 <=> ((~(sP25)) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP582])])). % 176.16/176.27 thf(sP583,plain,sP583 <=> ((~(sP567)) => (~(sP159))),introduced(definition,[new_symbols(definition,[sP583])])). % 176.16/176.27 thf(sP584,plain,sP584 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((sP316 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP584])])). % 176.16/176.27 thf(sP585,plain,sP585 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP516))),introduced(definition,[new_symbols(definition,[sP585])])). % 176.16/176.27 thf(sP586,plain,sP586 <=> ((~((sP250 => (~(sP371))))) => (~(sP348))),introduced(definition,[new_symbols(definition,[sP586])])). % 176.16/176.27 thf(sP587,plain,sP587 <=> (sP403 => sP303),introduced(definition,[new_symbols(definition,[sP587])])). % 176.16/176.27 thf(sP588,plain,sP588 <=> ((~(sP74)) => (~(sP547))),introduced(definition,[new_symbols(definition,[sP588])])). % 176.16/176.27 thf(sP589,plain,sP589 <=> ((~(sP570)) => (~(sP516))),introduced(definition,[new_symbols(definition,[sP589])])). % 176.16/176.27 thf(sP590,plain,sP590 <=> (sP486 => (~(sP558))),introduced(definition,[new_symbols(definition,[sP590])])). % 176.16/176.27 thf(sP591,plain,sP591 <=> ((~(sP2)) => sP511),introduced(definition,[new_symbols(definition,[sP591])])). % 176.16/176.27 thf(sP592,plain,sP592 <=> ((~(sP222)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP592])])). % 176.16/176.27 thf(sP593,plain,sP593 <=> ((r @ eigen__1) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP593])])). % 176.16/176.27 thf(sP594,plain,sP594 <=> (sP516 => (~(sP381))),introduced(definition,[new_symbols(definition,[sP594])])). % 176.16/176.27 thf(sP595,plain,sP595 <=> ((~(sP167)) => (~(sP172))),introduced(definition,[new_symbols(definition,[sP595])])). % 176.16/176.27 thf(sP596,plain,sP596 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP596])])). % 176.16/176.27 thf(sP597,plain,sP597 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP597])])). % 176.16/176.27 thf(sP598,plain,sP598 <=> ((~(sP529)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP598])])). % 176.16/176.27 thf(sP599,plain,sP599 <=> ((~(sP555)) => (~(sP314))),introduced(definition,[new_symbols(definition,[sP599])])). % 176.16/176.27 thf(sP600,plain,sP600 <=> (![X1:$i]:((~(((~(sP221)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP600])])). % 176.16/176.27 thf(sP601,plain,sP601 <=> (![X1:$i]:((~(((~(sP438)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP601])])). % 176.16/176.27 thf(sP602,plain,sP602 <=> (sP190 => (~(sP319))),introduced(definition,[new_symbols(definition,[sP602])])). % 176.16/176.27 thf(sP603,plain,sP603 <=> ((~(sP199)) => (~(sP489))),introduced(definition,[new_symbols(definition,[sP603])])). % 176.16/176.27 thf(sP604,plain,sP604 <=> ((~(((~(sP287)) => (~(sP489))))) => (~(sP489))),introduced(definition,[new_symbols(definition,[sP604])])). % 176.16/176.27 thf(sP605,plain,sP605 <=> (sP296 => sP355),introduced(definition,[new_symbols(definition,[sP605])])). % 176.16/176.27 thf(sP606,plain,sP606 <=> ((~(sP94)) => (~(sP229))),introduced(definition,[new_symbols(definition,[sP606])])). % 176.16/176.27 thf(sP607,plain,sP607 <=> ((~(sP588)) => (~(sP371))),introduced(definition,[new_symbols(definition,[sP607])])). % 176.16/176.27 thf(sP608,plain,sP608 <=> (sP227 => (~(sP127))),introduced(definition,[new_symbols(definition,[sP608])])). % 176.16/176.27 thf(sP609,plain,sP609 <=> ((~(sP325)) => (~(sP209))),introduced(definition,[new_symbols(definition,[sP609])])). % 176.16/176.27 thf(sP610,plain,sP610 <=> (![X1:$i]:((~((sP236 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP610])])). % 176.16/176.27 thf(sP611,plain,sP611 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((sP559 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ eigen__1) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP611])])). % 176.16/176.27 thf(sP612,plain,sP612 <=> ((~(sP247)) => (~(sP320))),introduced(definition,[new_symbols(definition,[sP612])])). % 176.16/176.27 thf(sP613,plain,sP613 <=> ((~(sP110)) => sP489),introduced(definition,[new_symbols(definition,[sP613])])). % 176.16/176.27 thf(sP614,plain,sP614 <=> (![X1:$i]:((~((sP546 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP614])])). % 176.16/176.27 thf(sP615,plain,sP615 <=> ((~(sP40)) => (~(sP538))),introduced(definition,[new_symbols(definition,[sP615])])). % 176.16/176.27 thf(sP616,plain,sP616 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP616])])). % 176.16/176.27 thf(sP617,plain,sP617 <=> ((~(sP608)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP617])])). % 176.16/176.27 thf(sP618,plain,sP618 <=> (sP172 => (~(sP318))),introduced(definition,[new_symbols(definition,[sP618])])). % 176.16/176.27 thf(sP619,plain,sP619 <=> (sP538 => (~(sP559))),introduced(definition,[new_symbols(definition,[sP619])])). % 176.16/176.27 thf(sP620,plain,sP620 <=> ((~(sP31)) => (~(sP371))),introduced(definition,[new_symbols(definition,[sP620])])). % 176.16/176.27 thf(sP621,plain,sP621 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP621])])). % 176.16/176.27 thf(sP622,plain,sP622 <=> ((~(sP393)) => sP516),introduced(definition,[new_symbols(definition,[sP622])])). % 176.16/176.27 thf(sP623,plain,sP623 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1),introduced(definition,[new_symbols(definition,[sP623])])). % 176.16/176.27 thf(sP624,plain,sP624 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP86)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP624])])). % 176.16/176.27 thf(sP625,plain,sP625 <=> ((~(sP4)) => sP72),introduced(definition,[new_symbols(definition,[sP625])])). % 176.16/176.27 thf(sP626,plain,sP626 <=> ((~(sP184)) => (~(sP16))),introduced(definition,[new_symbols(definition,[sP626])])). % 176.16/176.27 thf(sP627,plain,sP627 <=> ((~(sP22)) => (~(sP127))),introduced(definition,[new_symbols(definition,[sP627])])). % 176.16/176.27 thf(sP628,plain,sP628 <=> (sP454 => sP541),introduced(definition,[new_symbols(definition,[sP628])])). % 176.16/176.27 thf(sP629,plain,sP629 <=> ((~(sP19)) => (~(sP547))),introduced(definition,[new_symbols(definition,[sP629])])). % 176.16/176.27 thf(sP630,plain,sP630 <=> ((~(sP3)) => sP139),introduced(definition,[new_symbols(definition,[sP630])])). % 176.16/176.27 thf(sP631,plain,sP631 <=> (![X1:$i]:(![X2:$i]:((~(((~((X1 = X2))) => ((r @ X1) @ X2)))) => ((b @ X1) @ X2)))),introduced(definition,[new_symbols(definition,[sP631])])). % 176.16/176.27 thf(sP632,plain,sP632 <=> ((~(sP392)) => sP540),introduced(definition,[new_symbols(definition,[sP632])])). % 176.16/176.27 thf(sP633,plain,sP633 <=> ((~(sP482)) => sP16),introduced(definition,[new_symbols(definition,[sP633])])). % 176.16/176.27 thf(sP634,plain,sP634 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP634])])). % 176.16/176.27 thf(sP635,plain,sP635 <=> ((~(sP564)) => (~(sP193))),introduced(definition,[new_symbols(definition,[sP635])])). % 176.16/176.27 thf(sP636,plain,sP636 <=> (![X1:$i]:((~(((~(sP383)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP636])])). % 176.16/176.27 thf(sP637,plain,sP637 <=> (sP69 => (~(sP381))),introduced(definition,[new_symbols(definition,[sP637])])). % 176.16/176.27 thf(sP638,plain,sP638 <=> ((~(sP622)) => sP314),introduced(definition,[new_symbols(definition,[sP638])])). % 176.16/176.27 thf(sP639,plain,sP639 <=> ((~(sP32)) => (~(sP228))),introduced(definition,[new_symbols(definition,[sP639])])). % 176.16/176.27 thf(sP640,plain,sP640 <=> (sP49 => sP3),introduced(definition,[new_symbols(definition,[sP640])])). % 176.16/176.27 thf(sP641,plain,sP641 <=> (sP312 => sP322),introduced(definition,[new_symbols(definition,[sP641])])). % 176.16/176.27 thf(sP642,plain,sP642 <=> (sP250 => (~(sP371))),introduced(definition,[new_symbols(definition,[sP642])])). % 176.16/176.27 thf(sP643,plain,sP643 <=> ((~(sP615)) => (~(sP232))),introduced(definition,[new_symbols(definition,[sP643])])). % 176.16/176.27 thf(sP644,plain,sP644 <=> (![X1:$i]:((~(((~(sP88)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP644])])). % 176.16/176.27 thf(sP645,plain,sP645 <=> (sP546 => (~(sP634))),introduced(definition,[new_symbols(definition,[sP645])])). % 176.16/176.27 thf(sP646,plain,sP646 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP39)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP646])])). % 176.16/176.27 thf(sP647,plain,sP647 <=> ((~(sP161)) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP647])])). % 176.16/176.27 thf(sP648,plain,sP648 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(sP316))),introduced(definition,[new_symbols(definition,[sP648])])). % 176.16/176.27 thf(sP649,plain,sP649 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP433)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP649])])). % 176.16/176.27 thf(sP650,plain,sP650 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP20)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP650])])). % 176.16/176.27 thf(sP651,plain,sP651 <=> ((~(sP544)) => (~(sP348))),introduced(definition,[new_symbols(definition,[sP651])])). % 176.16/176.27 thf(sP652,plain,sP652 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1) => (~(sP634))),introduced(definition,[new_symbols(definition,[sP652])])). % 176.16/176.27 thf(sP653,plain,sP653 <=> ((~(sP122)) => (~(sP228))),introduced(definition,[new_symbols(definition,[sP653])])). % 176.16/176.27 thf(sP654,plain,sP654 <=> (sP324 => (~(sP318))),introduced(definition,[new_symbols(definition,[sP654])])). % 176.16/176.27 thf(sP655,plain,sP655 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))),introduced(definition,[new_symbols(definition,[sP655])])). % 176.16/176.27 thf(sP656,plain,sP656 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP443)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP656])])). % 176.16/176.27 thf(sP657,plain,sP657 <=> ((~(sP471)) => sP127),introduced(definition,[new_symbols(definition,[sP657])])). % 176.16/176.27 thf(sP658,plain,sP658 <=> ((~(sP188)) => sP193),introduced(definition,[new_symbols(definition,[sP658])])). % 176.16/176.27 thf(sP659,plain,sP659 <=> ((~(sP554)) => (~(sP320))),introduced(definition,[new_symbols(definition,[sP659])])). % 176.16/176.27 thf(sP660,plain,sP660 <=> ((~(sP249)) => (~(sP546))),introduced(definition,[new_symbols(definition,[sP660])])). % 176.16/176.27 thf(sP661,plain,sP661 <=> ((~(sP287)) => (~(sP489))),introduced(definition,[new_symbols(definition,[sP661])])). % 176.16/176.27 thf(sP662,plain,sP662 <=> (![X1:$i]:((~(((~(sP189)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP662])])). % 176.16/176.27 thf(sP663,plain,sP663 <=> (![X1:$i]:((eigen__1 = X1) => (X1 = eigen__1))),introduced(definition,[new_symbols(definition,[sP663])])). % 176.16/176.27 thf(sP664,plain,sP664 <=> (sP72 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP664])])). % 176.16/176.27 thf(sP665,plain,sP665 <=> ((~(sP362)) => (~(sP316))),introduced(definition,[new_symbols(definition,[sP665])])). % 176.16/176.27 thf(sP666,plain,sP666 <=> ((~(sP70)) => (~(sP547))),introduced(definition,[new_symbols(definition,[sP666])])). % 176.16/176.27 thf(sP667,plain,sP667 <=> (sP496 => (~(sP172))),introduced(definition,[new_symbols(definition,[sP667])])). % 176.16/176.27 thf(sP668,plain,sP668 <=> ((~(sP156)) => (~(sP83))),introduced(definition,[new_symbols(definition,[sP668])])). % 176.16/176.27 thf(sP669,plain,sP669 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP669])])). % 176.16/176.27 thf(sP670,plain,sP670 <=> ((~(sP637)) => (~(sP634))),introduced(definition,[new_symbols(definition,[sP670])])). % 176.16/176.27 thf(sP671,plain,sP671 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP671])])). % 176.16/176.27 thf(sP672,plain,sP672 <=> (![X1:$i]:((~((sP318 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP672])])). % 176.16/176.27 thf(sP673,plain,sP673 <=> (![X1:$i]:((~((sP324 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP673])])). % 176.16/176.27 thf(sP674,plain,sP674 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP674])])). % 176.16/176.27 thf(sP675,plain,sP675 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~(((~(((~(((~((sP232 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ X1) @ X2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP675])])). % 176.16/176.27 thf(sP676,plain,sP676 <=> (sP218 => sP623),introduced(definition,[new_symbols(definition,[sP676])])). % 176.16/176.27 thf(sP677,plain,sP677 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP67)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP677])])). % 176.16/176.27 thf(sP678,plain,sP678 <=> (sP232 => (~(sP209))),introduced(definition,[new_symbols(definition,[sP678])])). % 176.16/176.27 thf(sP679,plain,sP679 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP588)) => (~(((b @ eigen__1) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP679])])). % 176.16/176.27 thf(sP680,plain,sP680 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP281)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ eigen__1) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP680])])). % 176.16/176.27 thf(sP681,plain,sP681 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP245)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP681])])). % 176.16/176.27 thf(sP682,plain,sP682 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP682])])). % 176.16/176.27 thf(sP683,plain,sP683 <=> (![X1:$i]:(![X2:$i]:((~(((~(((~(sP394)) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP683])])). % 176.16/176.27 thf(sP684,plain,sP684 <=> ((~(sP104)) => (~(sP671))),introduced(definition,[new_symbols(definition,[sP684])])). % 176.16/176.27 thf(sP685,plain,sP685 <=> (sP593 => (~(sP190))),introduced(definition,[new_symbols(definition,[sP685])])). % 176.16/176.27 thf(def_inj,definition,(inj = (^[X1:$i>$i]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3))))))). % 176.16/176.27 thf(def_surj,definition,(surj = (^[X1:$i>$i]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2)))))))))). % 176.16/176.27 thf(h0,assumption,(~((sP1 => (![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1)))))))))),introduced(assumption,[])). % 176.16/176.27 thf(h1,assumption,sP1,introduced(assumption,[])). % 176.16/176.27 thf(h2,assumption,(~((![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1))))))))),introduced(assumption,[])). % 176.16/176.27 thf(h3,assumption,sP315,introduced(assumption,[])). % 176.16/176.27 thf(1,plain,((~(sP94) | sP177) | ~(sP540)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(2,plain,((~(sP606) | sP94) | ~(sP229)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(3,plain,((~(sP177) | sP182) | ~(sP200)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(4,plain,((~(sP17) | ~(sP489)) | ~(sP669)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(5,plain,((~(sP182) | sP17) | ~(sP511)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(6,plain,((~(sP462) | sP451) | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(7,plain,((~(sP163) | sP462) | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(8,plain,((~(sP451) | sP245) | ~(sP214)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(9,plain,((~(sP153) | ~(sP674)) | ~(sP669)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(10,plain,((~(sP245) | sP153) | ~(sP83)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(11,plain,((~(sP666) | sP70) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(12,plain,((~(sP271) | sP666) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(13,plain,((~(sP70) | sP450) | ~(sP200)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(14,plain,((~(sP265) | ~(sP250)) | ~(sP511)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(15,plain,((~(sP450) | sP265) | ~(sP175)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(16,plain,((~(sP88) | sP112) | ~(sP200)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(17,plain,((~(sP354) | sP88) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(18,plain,((~(sP91) | sP354) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(19,plain,((~(sP407) | ~(sP420)) | ~(sP447)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(20,plain,((~(sP112) | sP407) | ~(sP175)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(21,plain,((~(sP79) | sP278) | ~(sP250)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(22,plain,((~(sP211) | sP79) | ~(sP209)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(23,plain,((~(sP278) | sP46) | ~(sP214)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(24,plain,((~(sP321) | sP278) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(25,plain,((~(sP576) | sP321) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(26,plain,((~(sP351) | sP122) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(27,plain,((~(sP162) | sP351) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(28,plain,((~(sP122) | sP46) | ~(sP205)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(29,plain,((~(sP653) | sP122) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(30,plain,((~(sP367) | sP653) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(31,plain,((~(sP505) | sP46) | ~(sP200)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(32,plain,((~(sP26) | sP505) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(33,plain,((~(sP45) | sP26) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(34,plain,((~(sP578) | ~(sP559)) | ~(sP447)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(35,plain,((~(sP46) | sP578) | ~(sP511)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(36,plain,((~(sP105) | sP443) | ~(sP214)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(37,plain,((~(sP54) | sP105) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(38,plain,((~(sP151) | sP54) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(39,plain,((~(sP203) | ~(sP538)) | ~(sP447)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(40,plain,((~(sP443) | sP203) | ~(sP83)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(41,plain,((~(sP237) | sP433) | ~(sP597)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(42,plain,((~(sP124) | sP237) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(43,plain,((~(sP198) | sP124) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(44,plain,((~(sP111) | sP199) | ~(sP72)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(45,plain,((~(sP242) | sP111) | ~(sP209)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(46,plain,((~(sP603) | sP199) | ~(sP489)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(47,plain,((~(sP310) | sP603) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(48,plain,((~(sP199) | sP433) | ~(sP214)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(49,plain,((~(sP90) | sP199) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(50,plain,((~(sP243) | sP90) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(51,plain,((~(sP537) | ~(sP314)) | ~(sP447)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(52,plain,((~(sP433) | sP537) | ~(sP669)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(53,plain,((~(sP645) | ~(sP546)) | ~(sP634)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(54,plain,((~(sP208) | sP645) | ~(sP324)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(55,plain,((~(sP330) | ~(sP634)) | ~(sP128)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(56,plain,((~(sP300) | sP330) | ~(sP273)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(57,plain,((~(sP374) | ~(sP634)) | ~(sP682)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(58,plain,((~(sP263) | sP374) | ~(sP558)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(59,plain,((~(sP142) | ~(sP682)) | ~(sP128)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(60,plain,((~(sP448) | sP142) | ~(sP320)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(61,plain,((~(sP652) | ~(sP682)) | ~(sP634)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(62,plain,((~(sP528) | sP652) | ~(sP319)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(63,plain,((~(sP82) | sP254) | ~(sP250)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(64,plain,((~(sP81) | sP82) | ~(sP209)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(65,plain,((~(sP254) | sP281) | ~(sP214)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(66,plain,((~(sP267) | ~(sP547)) | ~(sP175)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(67,plain,((~(sP281) | sP267) | ~(sP511)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(68,plain,((~(sP609) | sP325) | ~(sP209)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(69,plain,((~(sP234) | sP609) | ~(sP72)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(70,plain,((~(sP325) | sP277) | ~(sP597)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(71,plain,((~(sP116) | ~(sP348)) | ~(sP175)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(72,plain,((~(sP277) | sP116) | ~(sP83)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(73,plain,((~(sP582) | sP25) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(74,plain,((~(sP118) | sP582) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(75,plain,((~(sP25) | sP668) | ~(sP214)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(76,plain,((~(sP156) | ~(sP371)) | ~(sP511)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(77,plain,((~(sP668) | sP156) | ~(sP83)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(78,plain,((~(sP280) | ~(sP69)) | ~(sP621)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(79,plain,((~(sP276) | sP280) | ~(sP128)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(80,plain,((~(sP637) | ~(sP69)) | ~(sP381)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(81,plain,((~(sP670) | sP637) | ~(sP634)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(82,plain,((~(sP461) | ~(sP69)) | ~(sP516)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(83,plain,((~(sP360) | sP461) | ~(sP546)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(84,plain,(~(sP53) | sP243),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(85,plain,(~(sP53) | sP310),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(86,plain,(~(sP53) | sP242),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(87,plain,(~(sP307) | sP198),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(88,plain,(~(sP390) | sP151),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(89,plain,(~(sP552) | sP45),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(90,plain,(~(sP365) | sP367),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(91,plain,(~(sP365) | sP162),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(92,plain,(~(sP14) | sP576),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(93,plain,(~(sP14) | sP211),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(94,plain,(~(sP644) | sP91),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(95,plain,(~(sP430) | sP271),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(96,plain,(~(sP288) | sP163),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(97,plain,(~(sP21) | sP606),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(98,plain,((~(sP667) | ~(sP496)) | ~(sP172)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(99,plain,((~(sP460) | sP667) | ~(sP682)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(100,plain,((~(sP508) | ~(sP496)) | ~(sP324)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(101,plain,((~(sP539) | sP508) | ~(sP634)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(102,plain,((~(sP389) | ~(sP530)) | ~(sP273)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(103,plain,((~(sP493) | sP389) | ~(sP128)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(104,plain,(~(sP331) | sP118),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(105,plain,(~(sP550) | sP234),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(106,plain,(~(sP230) | sP81),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(107,plain,((~(sP608) | ~(sP227)) | ~(sP127)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(108,plain,((~(sP617) | sP608) | ~(sP634)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(109,plain,(~(sP80) | sP528),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(110,plain,(~(sP80) | sP448),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(111,plain,(~(sP216) | sP263),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(112,plain,(~(sP216) | sP300),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(113,plain,(~(sP614) | sP208),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(114,plain,((~(sP136) | sP340) | sP128),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(115,plain,((~(sP353) | sP136) | sP200),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(116,plain,((~(sP7) | sP532) | sP682),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(117,plain,((~(sP456) | sP7) | sP205),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(118,plain,((~(sP592) | sP222) | sP634),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(119,plain,((~(sP404) | sP592) | sP214),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(120,plain,((~(sP286) | sP312) | sP546),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(121,plain,((~(sP568) | sP286) | sP597),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(122,plain,((~(sP512) | ~(sP190)) | ~(sP320)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(123,plain,((~(sP165) | sP512) | ~(sP128)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(124,plain,((~(sP602) | ~(sP190)) | ~(sP319)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(125,plain,((~(sP13) | sP602) | ~(sP634)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(126,plain,((~(sP249) | ~(sP190)) | ~(sP525)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(127,plain,((~(sP660) | sP249) | ~(sP546)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(128,plain,((~(sP464) | ~(sP381)) | ~(sP69)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(129,plain,((~(sP115) | sP464) | ~(sP530)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(130,plain,((~(sP96) | ~(sP516)) | ~(sP69)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(131,plain,((~(sP429) | sP96) | ~(sP496)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(132,plain,((~(sP446) | ~(sP236)) | ~(sP227)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(133,plain,((~(sP339) | sP446) | ~(sP69)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(134,plain,((~(sP685) | ~(sP593)) | ~(sP190)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(135,plain,((~(sP302) | sP685) | ~(sP69)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(136,plain,((~(sP295) | sP364) | sP69),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(137,plain,((~(sP577) | sP295) | sP447),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(138,plain,(~(sP259) | sP360),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(139,plain,(~(sP259) | sP670),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(140,plain,(~(sP259) | sP276),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(141,plain,(~(sP463) | sP644),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(142,plain,(~(sP385) | sP14),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(143,plain,(~(sP385) | sP365),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(144,plain,(~(sP385) | sP552),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(145,plain,(~(sP656) | sP390),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(146,plain,(~(sP649) | sP307),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(147,plain,(~(sP649) | sP53),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(148,plain,((~(sP548) | ~(sP16)) | ~(sP227)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(149,plain,((~(sP270) | sP548) | ~(sP496)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(150,plain,((~(sP469) | ~(sP193)) | ~(sP530)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(151,plain,((~(sP436) | sP469) | ~(sP496)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(152,plain,((~(sP477) | ~(sP525)) | ~(sP190)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(153,plain,((~(sP524) | sP477) | ~(sP496)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(154,plain,((~(sP475) | sP521) | sP496),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(155,plain,((~(sP301) | sP475) | sP669),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(156,plain,(~(sP468) | sP539),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(157,plain,(~(sP468) | sP460),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(158,plain,(~(sP196) | sP21),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(159,plain,(~(sP681) | sP288),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(160,plain,((~(sP474) | ~(sP273)) | ~(sP530)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(161,plain,((~(sP225) | sP474) | ~(sP227)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(162,plain,((~(sP87) | ~(sP320)) | ~(sP190)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(163,plain,((~(sP158) | sP87) | ~(sP227)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(164,plain,(~(sP387) | sP430),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(165,plain,((~(sP480) | sP616) | sP227),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(166,plain,((~(sP58) | sP480) | sP175),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(167,plain,(~(sP414) | sP617),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(168,plain,(~(sP680) | sP230),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(169,plain,(~(sP580) | sP550),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(170,plain,(~(sP470) | sP331),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(171,plain,((~(sP143) | sP89) | sP530),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(172,plain,((~(sP510) | sP143) | sP83),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(173,plain,((~(sP157) | ~(sP558)) | ~(sP530)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(174,plain,((~(sP507) | sP157) | ~(sP190)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(175,plain,(~(sP108) | sP493),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(176,plain,((~(sP2) | sP334) | sP190),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(177,plain,((~(sP591) | sP2) | sP511),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(178,plain,(~(sP397) | sP660),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(179,plain,(~(sP397) | sP13),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(180,plain,(~(sP397) | sP165),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(181,plain,(~(sP248) | sP568),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(182,plain,(~(sP248) | sP404),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(183,plain,(~(sP248) | sP456),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(184,plain,(~(sP248) | sP353),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(185,plain,(~(sP187) | sP614),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(186,plain,(~(sP187) | sP216),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(187,plain,(~(sP187) | sP80),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(188,plain,(~(sP350) | sP187),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(189,plain,(~(sP631) | sP248),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(190,plain,(~(sP329) | sP397),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(191,plain,(~(sP186) | sP591),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(192,plain,(~(sP18) | sP108),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(193,plain,(~(sP51) | sP507),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(194,plain,(~(sP131) | sP510),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(195,plain,(~(sP378) | sP470),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(196,plain,(~(sP241) | sP580),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(197,plain,(~(sP233) | sP680),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(198,plain,(~(sP391) | sP414),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(199,plain,(~(sP359) | sP58),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(200,plain,(~(sP129) | sP387),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(201,plain,(~(sP24) | sP158),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(202,plain,(~(sP294) | sP225),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(203,plain,(~(sP262) | sP681),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(204,plain,(~(sP565) | sP196),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(205,plain,(~(sP536) | sP468),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(206,plain,(~(sP655) | sP301),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(207,plain,(~(sP413) | sP524),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(208,plain,(~(sP103) | sP436),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(209,plain,(~(sP64) | sP270),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(210,plain,(~(sP147) | sP649),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(211,plain,(~(sP146) | sP656),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(212,plain,(~(sP611) | sP385),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(213,plain,(~(sP29) | sP463),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(214,plain,(~(sP515) | sP259),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(215,plain,(~(sP6) | sP577),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(216,plain,(~(sP50) | sP302),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(217,plain,(~(sP610) | sP339),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(218,plain,(~(sP545) | sP429),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(219,plain,(~(sP504) | sP115),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(220,plain,((~(sP421) | sP438) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(221,plain,((~(sP535) | sP421) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(222,plain,((~(sP438) | sP523) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(223,plain,((~(sP619) | ~(sP538)) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(224,plain,((~(sP523) | sP619) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(225,plain,((~(sP563) | sP195) | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(226,plain,((~(sP181) | sP563) | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(227,plain,((~(sP195) | sP352) | ~(sP674)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(228,plain,((~(sP28) | ~(sP538)) | ~(sP314)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(229,plain,((~(sP352) | sP28) | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(230,plain,((~(sP19) | sP224) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(231,plain,((~(sP629) | sP19) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(232,plain,((~(sP258) | ~(sP420)) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(233,plain,((~(sP86) | sP258) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(234,plain,((~(sP224) | sP86) | ~(sP250)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(235,plain,((~(sP349) | sP376) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(236,plain,((~(sP444) | sP349) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(237,plain,((~(sP376) | sP154) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(238,plain,((~(sP34) | ~(sP420)) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(239,plain,((~(sP154) | sP34) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(240,plain,((~(sP117) | ~(sP420)) | ~(sP314)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(241,plain,((~(sP130) | sP117) | ~(sP229)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(242,plain,((~(sP100) | sP130) | ~(sP72)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(243,plain,((~(sP410) | sP100) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(244,plain,((~(sP424) | sP410) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(245,plain,((~(sP266) | sP204) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(246,plain,((~(sP363) | sP266) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(247,plain,((~(sP342) | ~(sP65)) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(248,plain,((~(sP95) | sP342) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(249,plain,((~(sP204) | sP95) | ~(sP209)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(250,plain,((~(sP661) | sP287) | ~(sP489)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(251,plain,((~(sP604) | sP661) | ~(sP489)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(252,plain,((~(sP287) | sP401) | ~(sP540)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(253,plain,((~(sP380) | ~(sP314)) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(254,plain,((~(sP401) | sP380) | ~(sP489)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(255,plain,((~(sP125) | sP10) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(256,plain,((~(sP384) | sP125) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(257,plain,((~(sP599) | sP555) | ~(sP314)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(258,plain,((~(sP362) | sP599) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(259,plain,((~(sP665) | sP362) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(260,plain,((~(sP566) | ~(sP540)) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(261,plain,((~(sP555) | sP566) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(262,plain,((~(sP557) | sP412) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(263,plain,((~(sP231) | sP557) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(264,plain,((~(sP412) | sP431) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(265,plain,((~(sP68) | ~(sP228)) | ~(sP250)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(266,plain,((~(sP431) | sP68) | ~(sP420)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(267,plain,((~(sP145) | sP643) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(268,plain,((~(sP297) | sP145) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(269,plain,((~(sP643) | sP615) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(270,plain,((~(sP40) | ~(sP228)) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(271,plain,((~(sP615) | sP40) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(272,plain,((~(sP71) | sP78) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(273,plain,((~(sP272) | sP71) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(274,plain,((~(sP78) | sP531) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(275,plain,((~(sP678) | ~(sP232)) | ~(sP209)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(276,plain,((~(sP531) | sP678) | ~(sP420)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(277,plain,((~(sP487) | sP492) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(278,plain,((~(sP180) | sP487) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(279,plain,((~(sP492) | sP67) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(280,plain,((~(sP226) | ~(sP232)) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(281,plain,((~(sP67) | sP226) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(282,plain,((~(sP191) | sP499) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(283,plain,((~(sP522) | sP191) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(284,plain,((~(sP499) | sP304) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(285,plain,((~(sP104) | sP445) | ~(sP314)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(286,plain,((~(sP684) | sP104) | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(287,plain,((~(sP445) | sP304) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(288,plain,((~(sP575) | ~(sP316)) | ~(sP489)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(289,plain,((~(sP304) | sP575) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(290,plain,((~(sP466) | sP432) | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(291,plain,((~(sP32) | sP466) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(292,plain,((~(sP639) | sP32) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(293,plain,((~(sP169) | ~(sP547)) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(294,plain,((~(sP432) | sP169) | ~(sP228)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(295,plain,((~(sP38) | sP275) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(296,plain,((~(sP519) | sP38) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(297,plain,((~(sP572) | sP519) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(298,plain,((~(sP502) | ~(sP348)) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(299,plain,((~(sP275) | sP502) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(300,plain,(~(sP213) | sP363),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(301,plain,((~(sP467) | ~(sP229)) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(302,plain,((~(sP240) | sP467) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(303,plain,((~(sP10) | sP240) | ~(sP314)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(304,plain,((~(sP306) | ~(sP516)) | ~(sP490)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(305,plain,((~(sP238) | sP306) | ~(sP172)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(306,plain,((~(sP594) | ~(sP516)) | ~(sP381)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(307,plain,((~(sP423) | sP594) | ~(sP324)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(308,plain,((~(sP341) | ~(sP381)) | ~(sP490)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(309,plain,((~(sP52) | sP341) | ~(sP558)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(310,plain,((~(sP253) | ~(sP381)) | ~(sP516)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(311,plain,((~(sP481) | sP253) | ~(sP193)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(312,plain,((~(sP48) | ~(sP490)) | ~(sP381)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(313,plain,((~(sP292) | sP48) | ~(sP319)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(314,plain,((~(sP107) | ~(sP490)) | ~(sP516)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(315,plain,((~(sP459) | sP107) | ~(sP525)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(316,plain,((~(sP435) | ~(sP621)) | ~(sP490)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(317,plain,((~(sP472) | sP435) | ~(sP139)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(318,plain,((~(sP252) | ~(sP621)) | ~(sP381)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(319,plain,((~(sP126) | sP252) | ~(sP127)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(320,plain,((~(sP585) | ~(sP621)) | ~(sP516)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(321,plain,((~(sP476) | sP585) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(322,plain,(~(sP396) | sP424),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(323,plain,(~(sP520) | sP444),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(324,plain,(~(sP155) | sP629),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(325,plain,(~(sP551) | sP181),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(326,plain,(~(sP601) | sP535),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(327,plain,(~(sP93) | sP604),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(328,plain,((~(sP189) | sP212) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(329,plain,((~(sP488) | sP189) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(330,plain,((~(sP12) | sP488) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(331,plain,((~(sP648) | ~(sP674)) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(332,plain,((~(sP212) | sP648) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(333,plain,(~(sP60) | sP684),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(334,plain,(~(sP501) | sP522),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(335,plain,(~(sP290) | sP180),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(336,plain,(~(sP398) | sP272),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(337,plain,(~(sP375) | sP297),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(338,plain,(~(sP327) | sP231),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(339,plain,(~(sP534) | sP665),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(340,plain,(~(sP581) | sP384),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(341,plain,((~(sP620) | sP31) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(342,plain,((~(sP282) | sP620) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(343,plain,((~(sP31) | sP75) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(344,plain,(~(sP345) | sP213),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(345,plain,(~(sP484) | sP572),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(346,plain,(~(sP494) | sP639),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(347,plain,((~(sP370) | sP383) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(348,plain,((~(sP42) | sP370) | ~(sP538)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(349,plain,((~(sP383) | sP406) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(350,plain,((~(sP185) | ~(sP236)) | ~(sP139)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(351,plain,((~(sP455) | sP185) | ~(sP490)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(352,plain,((~(sP269) | ~(sP236)) | ~(sP127)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(353,plain,((~(sP192) | sP269) | ~(sP381)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(354,plain,(~(sP509) | sP501),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(355,plain,(~(sP509) | sP60),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(356,plain,(~(sP662) | sP12),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(357,plain,((~(sP123) | ~(sP318)) | ~(sP202)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(358,plain,((~(sP23) | sP123) | ~(sP621)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(359,plain,((~(sP279) | ~(sP318)) | ~(sP172)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(360,plain,((~(sP400) | sP279) | ~(sP490)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(361,plain,((~(sP109) | ~(sP318)) | ~(sP324)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(362,plain,((~(sP440) | sP109) | ~(sP381)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(363,plain,(~(sP439) | sP93),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(364,plain,(~(sP338) | sP601),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(365,plain,(~(sP313) | sP551),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(366,plain,(~(sP624) | sP155),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(367,plain,(~(sP379) | sP520),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(368,plain,(~(sP201) | sP396),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(369,plain,(~(sP101) | sP476),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(370,plain,(~(sP101) | sP126),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(371,plain,(~(sP101) | sP472),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(372,plain,(~(sP491) | sP459),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(373,plain,(~(sP491) | sP292),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(374,plain,(~(sP504) | sP481),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(375,plain,(~(sP504) | sP52),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(376,plain,(~(sP545) | sP423),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(377,plain,(~(sP545) | sP238),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(378,plain,((~(sP179) | sP322) | sP621),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(379,plain,((~(sP63) | sP179) | sP420),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(380,plain,((~(sP498) | sP303) | sP490),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(381,plain,((~(sP257) | sP498) | sP559),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(382,plain,((~(sP207) | sP218) | sP381),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(383,plain,((~(sP377) | sP207) | sP538),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(384,plain,((~(sP622) | sP393) | sP516),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(385,plain,((~(sP638) | sP622) | sP314),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(386,plain,((~(sP641) | ~(sP312)) | sP322),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(387,plain,((~(sP411) | ~(sP222)) | sP303),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(388,plain,((~(sP473) | ~(sP340)) | sP218),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(389,plain,(~(sP561) | sP327),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(390,plain,(~(sP183) | sP375),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(391,plain,((~(sP333) | ~(sP593)) | ~(sP319)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(392,plain,((~(sP133) | sP333) | ~(sP381)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(393,plain,((~(sP144) | ~(sP593)) | ~(sP525)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(394,plain,((~(sP337) | sP144) | ~(sP516)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(395,plain,(~(sP178) | sP398),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(396,plain,(~(sP677) | sP290),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(397,plain,((~(sP590) | ~(sP486)) | ~(sP558)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(398,plain,((~(sP574) | sP590) | ~(sP490)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(399,plain,((~(sP570) | ~(sP486)) | ~(sP193)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(400,plain,((~(sP589) | sP570) | ~(sP516)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(401,plain,((~(sP274) | sP607) | ~(sP65)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(402,plain,((~(sP357) | sP274) | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(403,plain,((~(sP618) | ~(sP172)) | ~(sP318)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(404,plain,((~(sP449) | sP618) | ~(sP593)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(405,plain,((~(sP654) | ~(sP324)) | ~(sP318)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(406,plain,((~(sP309) | sP654) | ~(sP486)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(407,plain,((~(sP485) | ~(sP16)) | ~(sP236)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(408,plain,((~(sP514) | sP485) | ~(sP318)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(409,plain,(~(sP569) | sP282),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(410,plain,(~(sP518) | sP581),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(411,plain,((~(sP332) | ~(sP193)) | ~(sP486)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(412,plain,((~(sP344) | sP332) | ~(sP318)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(413,plain,(~(sP285) | sP534),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(414,plain,((~(sP395) | ~(sP364)) | sP120),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(415,plain,((~(sP434) | sP120) | sP318),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(416,plain,((~(sP369) | sP434) | sP316),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(417,plain,(~(sP672) | sP440),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(418,plain,(~(sP672) | sP400),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(419,plain,(~(sP672) | sP23),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(420,plain,(~(sP57) | sP662),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(421,plain,(~(sP584) | sP509),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(422,plain,((~(sP215) | ~(sP139)) | ~(sP236)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(423,plain,((~(sP261) | sP215) | ~(sP593)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(424,plain,((~(sP562) | ~(sP127)) | ~(sP236)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(425,plain,((~(sP483) | sP562) | ~(sP486)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(426,plain,((~(sP33) | ~(sP273)) | ~(sP486)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(427,plain,((~(sP428) | sP33) | ~(sP236)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(428,plain,((~(sP246) | ~(sP320)) | ~(sP593)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(429,plain,((~(sP426) | sP246) | ~(sP236)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(430,plain,((~(sP150) | ~(sP521)) | sP596),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(431,plain,((~(sP148) | sP596) | sP236),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(432,plain,((~(sP284) | sP148) | sP65),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(433,plain,(~(sP610) | sP192),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(434,plain,(~(sP610) | sP455),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(435,plain,(~(sP636) | sP42),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(436,plain,(~(sP283) | sP494),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(437,plain,(~(sP579) | sP484),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(438,plain,(~(sP347) | sP345),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(439,plain,((~(sP291) | ~(sP319)) | ~(sP593)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(440,plain,((~(sP73) | sP291) | ~(sP486)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(441,plain,((~(sP409) | ~(sP616)) | sP296),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(442,plain,((~(sP358) | sP296) | sP486),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(443,plain,((~(sP160) | sP358) | sP232),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(444,plain,(~(sP164) | sP589),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(445,plain,(~(sP164) | sP574),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(446,plain,(~(sP675) | sP677),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(447,plain,(~(sP675) | sP178),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(448,plain,((~(sP99) | ~(sP89)) | sP403),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(449,plain,((~(sP62) | sP403) | sP593),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(450,plain,((~(sP542) | sP62) | sP228),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(451,plain,(~(sP50) | sP337),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(452,plain,(~(sP50) | sP133),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(453,plain,(~(sP59) | sP183),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(454,plain,(~(sP59) | sP561),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(455,plain,((~(sP66) | ~(sP334)) | sP532),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(456,plain,(~(sP663) | sP66),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(457,plain,(~(sP527) | sP473),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(458,plain,(~(sP527) | sP411),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(459,plain,(~(sP527) | sP641),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(460,plain,(~(sP6) | sP638),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(461,plain,(~(sP6) | sP377),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(462,plain,(~(sP6) | sP257),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(463,plain,(~(sP6) | sP63),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(464,plain,(~(sP515) | sP545),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(465,plain,(~(sP515) | sP504),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(466,plain,(~(sP515) | sP491),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(467,plain,(~(sP515) | sP101),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(468,plain,(~(sP29) | sP201),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(469,plain,(~(sP29) | sP379),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(470,plain,(~(sP29) | sP624),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(471,plain,(~(sP146) | sP313),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(472,plain,(~(sP146) | sP338),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(473,plain,(~(sP147) | sP439),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(474,plain,(~(sP219) | sP147),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(475,plain,(~(sP219) | sP146),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(476,plain,(~(sP219) | sP611),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(477,plain,(~(sP219) | sP29),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(478,plain,(~(sP556) | sP219),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(479,plain,(~(sP350) | sP515),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(480,plain,(~(sP631) | sP6),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(481,plain,(~(sP1) | sP527),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(482,plain,(~(sP315) | ~(sP532)),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(483,plain,(~(sP98) | sP59),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(484,plain,(~(sP329) | sP50),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(485,plain,(~(sP186) | sP542),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(486,plain,(~(sP415) | sP99),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(487,plain,(~(sP35) | sP675),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(488,plain,(~(sP18) | sP164),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(489,plain,(~(sP131) | sP160),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(490,plain,(~(sP560) | sP409),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(491,plain,(~(sP402) | sP73),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(492,plain,(~(sP573) | sP347),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(493,plain,(~(sP241) | sP579),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(494,plain,(~(sP233) | sP283),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(495,plain,(~(sP513) | sP636),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(496,plain,(~(sP391) | sP610),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(497,plain,(~(sP359) | sP284),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(498,plain,(~(sP9) | sP150),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(499,plain,(~(sP24) | sP426),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(500,plain,(~(sP294) | sP428),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(501,plain,(~(sP61) | sP483),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(502,plain,(~(sP346) | sP261),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(503,plain,(~(sP543) | sP584),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(504,plain,(~(sP262) | sP57),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(505,plain,(~(sP536) | sP672),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(506,plain,(~(sP655) | sP369),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(507,plain,(~(sP121) | sP395),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(508,plain,(~(sP77) | sP285),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(509,plain,(~(sP103) | sP344),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(510,plain,(~(sP419) | sP518),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(511,plain,(~(sP268) | sP569),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(512,plain,(~(sP64) | sP514),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(513,plain,(~(sP673) | sP309),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(514,plain,(~(sP152) | sP449),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(515,plain,(~(sP425) | sP357),inference(all_rule,[status(thm)],[])). % 176.16/176.27 thf(516,plain,((~(sP194) | sP453) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(517,plain,((~(sP506) | sP194) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(518,plain,((~(sP453) | sP442) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(519,plain,((~(sP85) | ~(sP674)) | ~(sP489)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(520,plain,((~(sP442) | sP85) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(521,plain,((~(sP607) | sP588) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(522,plain,((~(sP317) | sP44) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(523,plain,((~(sP141) | sP317) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(524,plain,((~(sP74) | ~(sP72)) | ~(sP489)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(525,plain,((~(sP588) | sP74) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(526,plain,((~(sP44) | sP588) | ~(sP250)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(527,plain,((~(sP544) | sP368) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(528,plain,((~(sP651) | sP544) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(529,plain,((~(sP664) | ~(sP72)) | ~(sP674)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(530,plain,((~(sP394) | sP664) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(531,plain,((~(sP368) | sP394) | ~(sP209)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(532,plain,((~(sP251) | sP221) | ~(sP674)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(533,plain,((~(sP135) | sP251) | ~(sP674)),inference(prop_rule,[status(thm)],[])). % 176.16/176.27 thf(534,plain,((~(sP221) | sP598) | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(535,plain,((~(sP529) | ~(sP229)) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(536,plain,((~(sP598) | sP529) | ~(sP674)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(537,plain,((~(sP326) | ~(sP324)) | ~(sP172)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(538,plain,((~(sP244) | sP326) | ~(sP558)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(539,plain,((~(sP554) | ~(sP172)) | ~(sP202)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(540,plain,((~(sP659) | sP554) | ~(sP320)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(541,plain,((~(sP366) | ~(sP172)) | ~(sP324)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(542,plain,((~(sP210) | sP366) | ~(sP319)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(543,plain,((~(sP22) | ~(sP202)) | ~(sP324)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(544,plain,((~(sP627) | sP22) | ~(sP127)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(545,plain,(~(sP92) | sP651),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(546,plain,(~(sP517) | sP141),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(547,plain,(~(sP356) | sP506),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(548,plain,((~(sP235) | sP168) | ~(sP674)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(549,plain,((~(sP206) | sP235) | ~(sP674)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(550,plain,((~(sP168) | sP465) | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(551,plain,((~(sP441) | ~(sP540)) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(552,plain,((~(sP465) | sP441) | ~(sP674)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(553,plain,((~(sP533) | sP75) | ~(sP489)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(554,plain,((~(sP422) | sP533) | ~(sP540)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(555,plain,((~(sP56) | sP422) | ~(sP540)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(556,plain,((~(sP171) | ~(sP547)) | ~(sP229)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(557,plain,((~(sP75) | sP171) | ~(sP540)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(558,plain,(~(sP600) | sP135),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(559,plain,((~(sP76) | sP39) | ~(sP489)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(560,plain,((~(sP457) | sP76) | ~(sP540)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(561,plain,((~(sP8) | sP457) | ~(sP540)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(562,plain,((~(sP114) | ~(sP159)) | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(563,plain,((~(sP39) | sP114) | ~(sP540)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(564,plain,(~(sP36) | sP206),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(565,plain,(~(sP84) | sP356),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(566,plain,(~(sP679) | sP425),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(567,plain,(~(sP679) | sP517),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(568,plain,(~(sP683) | sP92),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(569,plain,(~(sP239) | sP627),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(570,plain,(~(sP152) | sP210),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(571,plain,(~(sP152) | sP659),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(572,plain,(~(sP673) | sP244),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(573,plain,((~(sP4) | sP343) | sP202),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(574,plain,((~(sP625) | sP4) | sP72),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(575,plain,((~(sP110) | sP623) | sP172),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(576,plain,((~(sP613) | sP110) | sP489),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(577,plain,((~(sP161) | sP437) | sP324),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(578,plain,((~(sP647) | sP161) | sP674),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(579,plain,((~(sP503) | ~(sP393)) | sP343),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(580,plain,((~(sP676) | ~(sP218)) | sP623),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(581,plain,((~(sP336) | ~(sP322)) | sP437),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(582,plain,(~(sP47) | sP36),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(583,plain,((~(sP27) | ~(sP525)) | ~(sP320)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(584,plain,((~(sP15) | sP27) | ~(sP202)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(585,plain,((~(sP113) | ~(sP525)) | ~(sP319)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(586,plain,((~(sP289) | sP113) | ~(sP324)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(587,plain,(~(sP452) | sP8),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(588,plain,((~(sP167) | ~(sP193)) | ~(sP558)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(589,plain,((~(sP595) | sP167) | ~(sP172)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(590,plain,(~(sP293) | sP600),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(591,plain,(~(sP102) | sP56),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(592,plain,((~(sP264) | ~(sP16)) | ~(sP139)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(593,plain,((~(sP137) | sP264) | ~(sP172)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(594,plain,((~(sP176) | ~(sP16)) | ~(sP127)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(595,plain,((~(sP408) | sP176) | ~(sP324)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(596,plain,((~(sP256) | ~(sP139)) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(597,plain,((~(sP166) | sP256) | ~(sP525)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(598,plain,((~(sP388) | ~(sP273)) | ~(sP193)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(599,plain,((~(sP571) | sP388) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(600,plain,((~(sP184) | ~(sP320)) | ~(sP525)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(601,plain,((~(sP626) | sP184) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(602,plain,((~(sP478) | ~(sP120)) | sP482),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(603,plain,((~(sP633) | sP482) | sP16),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(604,plain,((~(sP328) | sP633) | sP229),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(605,plain,(~(sP64) | sP408),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(606,plain,(~(sP64) | sP137),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(607,plain,(~(sP268) | sP102),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(608,plain,(~(sP419) | sP293),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(609,plain,((~(sP564) | ~(sP319)) | ~(sP525)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(610,plain,((~(sP635) | sP564) | ~(sP193)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(611,plain,((~(sP399) | ~(sP596)) | sP188),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(612,plain,((~(sP658) | sP188) | sP193),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(613,plain,((~(sP119) | sP658) | sP671),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(614,plain,((~(sP311) | ~(sP558)) | ~(sP193)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(615,plain,((~(sP174) | sP311) | ~(sP525)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(616,plain,(~(sP103) | sP595),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(617,plain,(~(sP646) | sP452),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(618,plain,((~(sP605) | ~(sP296)) | sP355),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(619,plain,((~(sP392) | sP355) | sP525),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(620,plain,((~(sP632) | sP392) | sP540),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(621,plain,(~(sP413) | sP289),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(622,plain,(~(sP413) | sP15),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(623,plain,(~(sP77) | sP47),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(624,plain,((~(sP587) | ~(sP403)) | sP303),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(625,plain,(~(sP663) | sP587),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(626,plain,(~(sP121) | sP336),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(627,plain,(~(sP121) | sP676),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(628,plain,(~(sP121) | sP503),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(629,plain,(~(sP655) | sP647),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(630,plain,(~(sP655) | sP613),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(631,plain,(~(sP655) | sP625),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(632,plain,(~(sP536) | sP673),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(633,plain,(~(sP536) | sP152),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(634,plain,(~(sP536) | sP239),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(635,plain,(~(sP106) | sP683),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(636,plain,(~(sP106) | sP679),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(637,plain,(~(sP262) | sP84),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(638,plain,(~(sP543) | sP262),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(639,plain,(~(sP543) | sP565),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(640,plain,(~(sP543) | sP106),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(641,plain,(~(sP556) | sP543),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(642,plain,(~(sP350) | sP536),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(643,plain,(~(sP631) | sP655),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(644,plain,(~(sP1) | sP121),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(645,plain,(~(sP315) | ~(sP303)),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(646,plain,(~(sP98) | sP77),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(647,plain,(~(sP329) | sP413),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(648,plain,(~(sP186) | sP632),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(649,plain,(~(sP415) | sP605),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(650,plain,(~(sP43) | sP646),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(651,plain,(~(sP18) | sP103),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(652,plain,(~(sP51) | sP174),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(653,plain,(~(sP131) | sP119),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(654,plain,(~(sP560) | sP399),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(655,plain,(~(sP402) | sP635),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(656,plain,(~(sP573) | sP419),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(657,plain,(~(sP233) | sP268),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(658,plain,(~(sP391) | sP64),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(659,plain,(~(sP359) | sP328),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(660,plain,(~(sP9) | sP478),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(661,plain,(~(sP24) | sP626),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(662,plain,(~(sP294) | sP571),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(663,plain,(~(sP346) | sP166),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(664,plain,((~(sP140) | ~(sP127)) | ~(sP139)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(665,plain,((~(sP361) | sP140) | ~(sP558)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(666,plain,((~(sP553) | ~(sP139)) | ~(sP127)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(667,plain,((~(sP217) | sP553) | ~(sP319)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(668,plain,(~(sP346) | sP217),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(669,plain,(~(sP61) | sP361),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(670,plain,((~(sP630) | sP3) | sP139),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(671,plain,((~(sP373) | sP630) | sP547),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(672,plain,((~(sP657) | sP471) | sP127),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(673,plain,((~(sP305) | sP657) | sP348),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(674,plain,((~(sP97) | ~(sP437)) | sP3),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(675,plain,((~(sP5) | ~(sP343)) | sP471),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(676,plain,((~(sP197) | sP586) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(677,plain,((~(sP418) | sP197) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(678,plain,((~(sP132) | sP418) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(679,plain,(~(sP220) | sP132),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(680,plain,((~(sP642) | ~(sP250)) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(681,plain,((~(sP586) | sP642) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(682,plain,(~(sP41) | sP220),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(683,plain,((~(sP299) | ~(sP320)) | ~(sP319)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(684,plain,((~(sP55) | sP299) | ~(sP127)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(685,plain,((~(sP405) | sP479) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(686,plain,((~(sP458) | sP405) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(687,plain,((~(sP138) | ~(sP209)) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(688,plain,((~(sP549) | sP138) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(689,plain,((~(sP479) | sP549) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(690,plain,(~(sP417) | sP458),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(691,plain,(~(sP335) | sP417),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(692,plain,((~(sP500) | ~(sP273)) | ~(sP558)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(693,plain,((~(sP30) | sP500) | ~(sP139)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(694,plain,((~(sP495) | ~(sP482)) | sP149),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(695,plain,((~(sP260) | sP149) | sP273),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(696,plain,((~(sP427) | sP260) | sP209),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(697,plain,((~(sP247) | ~(sP558)) | ~(sP273)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(698,plain,((~(sP612) | sP247) | ~(sP320)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(699,plain,(~(sP294) | sP30),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(700,plain,(~(sP255) | sP335),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(701,plain,((~(sP372) | ~(sP188)) | sP49),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(702,plain,((~(sP323) | sP49) | sP320),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(703,plain,((~(sP386) | sP323) | sP250),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(704,plain,(~(sP24) | sP55),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(705,plain,(~(sP129) | sP41),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(706,plain,((~(sP37) | ~(sP355)) | sP623),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(707,plain,(~(sP663) | sP37),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(708,plain,(~(sP9) | sP5),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(709,plain,(~(sP9) | sP97),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(710,plain,(~(sP359) | sP305),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(711,plain,(~(sP359) | sP373),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(712,plain,(~(sP391) | sP61),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(713,plain,(~(sP391) | sP346),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(714,plain,((~(sP308) | ~(sP547)) | ~(sP348)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(715,plain,((~(sP406) | sP308) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(716,plain,(~(sP233) | sP513),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(717,plain,((~(sP583) | sP567) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(718,plain,((~(sP382) | sP583) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(719,plain,((~(sP134) | ~(sP348)) | ~(sP547)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(720,plain,((~(sP20) | sP134) | ~(sP159)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(721,plain,((~(sP567) | sP20) | ~(sP371)),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(722,plain,(~(sP223) | sP382),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(723,plain,(~(sP650) | sP223),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(724,plain,(~(sP241) | sP650),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(725,plain,(~(sP573) | sP241),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(726,plain,(~(sP573) | sP233),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(727,plain,(~(sP556) | sP573),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(728,plain,(~(sP350) | sP391),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(729,plain,(~(sP631) | sP359),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(730,plain,(~(sP1) | sP9),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(731,plain,(~(sP315) | ~(sP623)),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(732,plain,(~(sP98) | sP129),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(733,plain,(~(sP329) | sP24),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(734,plain,(~(sP186) | sP386),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(735,plain,(~(sP415) | sP372),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(736,plain,(~(sP35) | sP255),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(737,plain,(~(sP18) | sP294),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(738,plain,(~(sP51) | sP612),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(739,plain,(~(sP131) | sP427),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(740,plain,(~(sP560) | sP495),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(741,plain,((~(sP11) | ~(sP149)) | sP454),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(742,plain,((~(sP416) | sP454) | sP319),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(743,plain,((~(sP298) | sP416) | sP371),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(744,plain,((~(sP640) | ~(sP49)) | sP3),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(745,plain,(~(sP663) | sP640),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(746,plain,((~(sP170) | ~(sP471)) | sP541),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(747,plain,(~(sP560) | sP170),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(748,plain,((~(sP173) | sP541) | sP558),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(749,plain,((~(sP526) | sP173) | sP159),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(750,plain,(~(sP131) | sP526),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(751,plain,(~(sP18) | sP51),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(752,plain,(~(sP35) | sP43),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(753,plain,(~(sP556) | sP35),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(754,plain,(~(sP350) | sP18),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(755,plain,(~(sP631) | sP131),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(756,plain,(~(sP1) | sP560),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(757,plain,(~(sP315) | ~(sP3)),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(758,plain,(~(sP98) | sP378),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(759,plain,(~(sP329) | sP402),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(760,plain,(~(sP186) | sP298),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(761,plain,(~(sP415) | sP11),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(762,plain,((~(sP628) | ~(sP454)) | sP541),inference(prop_rule,[status(thm)],[])). % 176.16/176.28 thf(763,plain,(~(sP663) | sP628),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(764,plain,(~(sP497) | sP663),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(765,plain,sP497,inference(eq_sym,[status(thm)],[])). % 176.16/176.28 thf(766,plain,(~(sP315) | ~(sP541)),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(767,plain,(~(sP556) | sP98),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(768,plain,(~(sP350) | sP329),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(769,plain,(~(sP631) | sP186),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(770,plain,(~(sP1) | sP415),inference(all_rule,[status(thm)],[])). % 176.16/176.28 thf(axb,axiom,sP556). % 176.16/176.28 thf(axr,axiom,sP350). % 176.16/176.28 thf(rb_cov,axiom,sP631). % 176.16/176.28 thf(771,plain,$false,inference(prop_unsat,[status(thm),assumptions([h3,h1,h2,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,axb,axr,rb_cov,h1,h3])). % 176.16/176.28 thf(772,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__1)],[h2,771,h3])). % 176.16/176.28 thf(773,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,772,h1,h2])). % 176.16/176.28 thf(inf,axiom,(~((![X1:$i>$i]:((inj @ X1) => (surj @ X1)))))). % 176.16/176.28 thf(774,plain,(~((![X1:$i>$i]:((![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3)))) => (![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2))))))))))),inference(preprocess,[status(thm)],[inf]). % 176.16/176.28 thf(775,plain,$false,inference(tab_negall,[status(thm),tab_negall(discharge,[h0]),tab_negall(eigenvar,eigen__0)],[774,773,h0])). % 176.16/176.28 % SZS output end Proof %------------------------------------------------------------------------------