%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : GRA081^1 : 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 : n007.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 01:32:38 PM UTC 2025 % Result : Unsatisfiable 16.51s 16.72s % Output : Proof 16.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GRA081^1 : TPTP v9.2.0. Released v9.0.0. % 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.13/0.35 % Computer : n007.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Oct 8 15:38:53 EDT 2025 % 0.13/0.35 % CPUTime : % 16.51/16.72 % SZS status Unsatisfiable % 16.51/16.72 % Mode: mode454 % 16.51/16.72 % Inferences: 5980 % 16.51/16.72 % SZS output start Proof % 16.51/16.72 thf(ty_eigen__2, type, eigen__2 : $i). % 16.51/16.72 thf(ty_eigen__1, type, eigen__1 : $i). % 16.51/16.72 thf(ty_b, type, b : ($i>$i>$o)). % 16.51/16.72 thf(ty_eigen__0, type, eigen__0 : ($i>$i)). % 16.51/16.72 thf(ty_r, type, r : ($i>$i>$o)). % 16.51/16.72 thf(h0, assumption, (![X1:$i>$o]:(![X2:$i]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])). % 16.51/16.72 thf(eigendef_eigen__1, definition, eigen__1 = (eps__0 @ (^[X1:$i]:(~((~((![X2:$i]:(~(((eigen__0 @ X2) = X1)))))))))), introduced(definition,[new_symbols(definition,[eigen__1])])). % 16.51/16.72 thf(h1, assumption, (![X1:($i>$i)>$o]:(![X2:$i>$i]:((X1 @ X2) => (X1 @ (eps__1 @ X1))))),introduced(assumption,[])). % 16.51/16.72 thf(eigendef_eigen__0, definition, eigen__0 = (eps__1 @ (^[X1:$i>$i]:(~(((![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3)))) => (![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2)))))))))))), introduced(definition,[new_symbols(definition,[eigen__0])])). % 16.51/16.72 thf(sP1,plain,sP1 <=> ((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP1])])). % 16.51/16.72 thf(sP2,plain,sP2 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((r @ X1) @ X2) => (~(((r @ X1) @ X3)))))) => (~(((r @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP2])])). % 16.51/16.72 thf(sP3,plain,sP3 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP3])])). % 16.51/16.72 thf(sP4,plain,sP4 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP4])])). % 16.51/16.72 thf(sP5,plain,sP5 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP5])])). % 16.51/16.72 thf(sP6,plain,sP6 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ eigen__1)) => ((eigen__0 @ (eigen__0 @ eigen__2)) = eigen__1)),introduced(definition,[new_symbols(definition,[sP6])])). % 16.51/16.72 thf(sP7,plain,sP7 <=> (((eigen__0 @ eigen__2) = (eigen__0 @ (eigen__0 @ eigen__1))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__2))),introduced(definition,[new_symbols(definition,[sP7])])). % 16.51/16.72 thf(sP8,plain,sP8 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP8])])). % 16.51/16.72 thf(sP9,plain,sP9 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP9])])). % 16.51/16.72 thf(sP10,plain,sP10 <=> (![X1:$i]:((~((((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))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP10])])). % 16.51/16.72 thf(sP11,plain,sP11 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ eigen__2)) @ X1) => (~(((r @ (eigen__0 @ eigen__2)) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP11])])). % 16.51/16.72 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__2))))))),introduced(definition,[new_symbols(definition,[sP12])])). % 16.51/16.72 thf(sP13,plain,sP13 <=> ((r @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP13])])). % 16.51/16.72 thf(sP14,plain,sP14 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP14])])). % 16.51/16.72 thf(sP15,plain,sP15 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP15])])). % 16.51/16.72 thf(sP16,plain,sP16 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP16])])). % 16.51/16.72 thf(sP17,plain,sP17 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => ((eigen__0 @ (eigen__0 @ eigen__2)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP17])])). % 16.51/16.72 thf(sP18,plain,sP18 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP18])])). % 16.51/16.72 thf(sP19,plain,sP19 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP19])])). % 16.51/16.72 thf(sP20,plain,sP20 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP20])])). % 16.51/16.72 thf(sP21,plain,sP21 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP21])])). % 16.51/16.72 thf(sP22,plain,sP22 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP22])])). % 16.51/16.72 thf(sP23,plain,sP23 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(sP16))),introduced(definition,[new_symbols(definition,[sP23])])). % 16.51/16.72 thf(sP24,plain,sP24 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP24])])). % 16.51/16.72 thf(sP25,plain,sP25 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP25])])). % 16.51/16.72 thf(sP26,plain,sP26 <=> ((~(((~(((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)))))))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP26])])). % 16.51/16.72 thf(sP27,plain,sP27 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ eigen__1)) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))),introduced(definition,[new_symbols(definition,[sP27])])). % 16.51/16.72 thf(sP28,plain,sP28 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))))) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))),introduced(definition,[new_symbols(definition,[sP28])])). % 16.51/16.72 thf(sP29,plain,sP29 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP29])])). % 16.51/16.72 thf(sP30,plain,sP30 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP30])])). % 16.51/16.72 thf(sP31,plain,sP31 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP31])])). % 16.51/16.72 thf(sP32,plain,sP32 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP32])])). % 16.51/16.72 thf(sP33,plain,sP33 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP33])])). % 16.51/16.72 thf(sP34,plain,sP34 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ X1)) => ((eigen__0 @ eigen__1) = X1))),introduced(definition,[new_symbols(definition,[sP34])])). % 16.51/16.72 thf(sP35,plain,sP35 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ eigen__2)),introduced(definition,[new_symbols(definition,[sP35])])). % 16.51/16.72 thf(sP36,plain,sP36 <=> (![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,[sP36])])). % 16.51/16.72 thf(sP37,plain,sP37 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP37])])). % 16.51/16.72 thf(sP38,plain,sP38 <=> (((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__1))))),introduced(definition,[new_symbols(definition,[sP38])])). % 16.51/16.72 thf(sP39,plain,sP39 <=> (((eigen__0 @ eigen__2) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) => sP35),introduced(definition,[new_symbols(definition,[sP39])])). % 16.51/16.72 thf(sP40,plain,sP40 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP40])])). % 16.51/16.72 thf(sP41,plain,sP41 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP41])])). % 16.51/16.72 thf(sP42,plain,sP42 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) => ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ eigen__2)))),introduced(definition,[new_symbols(definition,[sP42])])). % 16.51/16.72 thf(sP43,plain,sP43 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP43])])). % 16.51/16.72 thf(sP44,plain,sP44 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP44])])). % 16.51/16.72 thf(sP45,plain,sP45 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP45])])). % 16.51/16.72 thf(sP46,plain,sP46 <=> (sP31 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP46])])). % 16.51/16.72 thf(sP47,plain,sP47 <=> ((~(((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,[sP47])])). % 16.51/16.72 thf(sP48,plain,sP48 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP48])])). % 16.51/16.72 thf(sP49,plain,sP49 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP49])])). % 16.51/16.72 thf(sP50,plain,sP50 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP50])])). % 16.51/16.72 thf(sP51,plain,sP51 <=> ((~(((~(((eigen__0 @ eigen__1) = eigen__1))) => ((r @ (eigen__0 @ eigen__1)) @ eigen__1)))) => ((b @ (eigen__0 @ eigen__1)) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP51])])). % 16.51/16.72 thf(sP52,plain,sP52 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP52])])). % 16.51/16.72 thf(sP53,plain,sP53 <=> ((~(((~(sP52)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP53])])). % 16.51/16.72 thf(sP54,plain,sP54 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ X1) => (~(((r @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP54])])). % 16.51/16.72 thf(sP55,plain,sP55 <=> ((~(sP9)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP55])])). % 16.51/16.72 thf(sP56,plain,sP56 <=> (![X1:$i]:((~(((~(((eigen__0 @ eigen__1) = X1))) => ((r @ (eigen__0 @ eigen__1)) @ X1)))) => ((b @ (eigen__0 @ eigen__1)) @ X1))),introduced(definition,[new_symbols(definition,[sP56])])). % 16.51/16.72 thf(sP57,plain,sP57 <=> ((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP57])])). % 16.51/16.72 thf(sP58,plain,sP58 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP58])])). % 16.51/16.72 thf(sP59,plain,sP59 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP59])])). % 16.51/16.72 thf(sP60,plain,sP60 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP60])])). % 16.51/16.72 thf(sP61,plain,sP61 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP61])])). % 16.51/16.72 thf(sP62,plain,sP62 <=> (![X1:$i]:((~((((b @ (eigen__0 @ eigen__2)) @ (eigen__0 @ eigen__2)) => (~(((b @ (eigen__0 @ eigen__2)) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__2)) @ X1))))),introduced(definition,[new_symbols(definition,[sP62])])). % 16.51/16.72 thf(sP63,plain,sP63 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP63])])). % 16.51/16.72 thf(sP64,plain,sP64 <=> ((~(sP4)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP64])])). % 16.51/16.72 thf(sP65,plain,sP65 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (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,[sP65])])). % 16.51/16.72 thf(sP66,plain,sP66 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP66])])). % 16.51/16.72 thf(sP67,plain,sP67 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) = (eigen__0 @ (eigen__0 @ eigen__1))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP67])])). % 16.51/16.72 thf(sP68,plain,sP68 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP68])])). % 16.51/16.72 thf(sP69,plain,sP69 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ eigen__1)))) => sP33))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP69])])). % 16.51/16.72 thf(sP70,plain,sP70 <=> ((~((((r @ (eigen__0 @ eigen__2)) @ (eigen__0 @ eigen__2)) => (~(((r @ (eigen__0 @ eigen__2)) @ (eigen__0 @ eigen__2))))))) => (~(((r @ (eigen__0 @ eigen__2)) @ (eigen__0 @ eigen__2))))),introduced(definition,[new_symbols(definition,[sP70])])). % 16.51/16.72 thf(sP71,plain,sP71 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP71])])). % 16.51/16.72 thf(sP72,plain,sP72 <=> (![X1:$i]:(![X2:$i]:(((eigen__0 @ X1) = (eigen__0 @ X2)) => (X1 = X2)))),introduced(definition,[new_symbols(definition,[sP72])])). % 16.51/16.72 thf(sP73,plain,sP73 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP73])])). % 16.51/16.72 thf(sP74,plain,sP74 <=> ((eigen__0 @ eigen__2) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP74])])). % 16.51/16.72 thf(sP75,plain,sP75 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP75])])). % 16.51/16.72 thf(sP76,plain,sP76 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = X1))),introduced(definition,[new_symbols(definition,[sP76])])). % 16.51/16.72 thf(sP77,plain,sP77 <=> (![X1:$i]:((~((sP61 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP77])])). % 16.51/16.72 thf(sP78,plain,sP78 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP78])])). % 16.51/16.72 thf(sP79,plain,sP79 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP79])])). % 16.51/16.72 thf(sP80,plain,sP80 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = eigen__1),introduced(definition,[new_symbols(definition,[sP80])])). % 16.51/16.72 thf(sP81,plain,sP81 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP81])])). % 16.51/16.72 thf(sP82,plain,sP82 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP82])])). % 16.51/16.72 thf(sP83,plain,sP83 <=> (![X1:$i]:(((eigen__0 @ eigen__1) = X1) => (X1 = (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP83])])). % 16.51/16.72 thf(sP84,plain,sP84 <=> ((b @ (eigen__0 @ eigen__2)) @ (eigen__0 @ eigen__2)),introduced(definition,[new_symbols(definition,[sP84])])). % 16.51/16.72 thf(sP85,plain,sP85 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP85])])). % 16.51/16.72 thf(sP86,plain,sP86 <=> ((~(sP48)) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))))),introduced(definition,[new_symbols(definition,[sP86])])). % 16.51/16.72 thf(sP87,plain,sP87 <=> ((~(sP30)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP87])])). % 16.51/16.72 thf(sP88,plain,sP88 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP88])])). % 16.51/16.72 thf(sP89,plain,sP89 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))))) => (~(sP61))),introduced(definition,[new_symbols(definition,[sP89])])). % 16.51/16.72 thf(sP90,plain,sP90 <=> ((~((sP33 => (~(sP25))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP90])])). % 16.60/16.72 thf(sP91,plain,sP91 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP91])])). % 16.60/16.72 thf(sP92,plain,sP92 <=> (![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,[sP92])])). % 16.60/16.72 thf(sP93,plain,sP93 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP93])])). % 16.60/16.72 thf(sP94,plain,sP94 <=> (![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,[sP94])])). % 16.60/16.72 thf(sP95,plain,sP95 <=> ((~((((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)))),introduced(definition,[new_symbols(definition,[sP95])])). % 16.60/16.72 thf(sP96,plain,sP96 <=> ((~(((~(sP40)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ eigen__1))))) => sP31),introduced(definition,[new_symbols(definition,[sP96])])). % 16.60/16.72 thf(sP97,plain,sP97 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP97])])). % 16.60/16.72 thf(sP98,plain,sP98 <=> ((~(((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,[sP98])])). % 16.60/16.72 thf(sP99,plain,sP99 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP85),introduced(definition,[new_symbols(definition,[sP99])])). % 16.60/16.72 thf(sP100,plain,sP100 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP100])])). % 16.60/16.72 thf(sP101,plain,sP101 <=> ((eigen__0 @ (eigen__0 @ eigen__2)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP101])])). % 16.60/16.72 thf(sP102,plain,sP102 <=> ((~(sP32)) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP102])])). % 16.60/16.72 thf(sP103,plain,sP103 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP103])])). % 16.60/16.72 thf(sP104,plain,sP104 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP104])])). % 16.60/16.72 thf(sP105,plain,sP105 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP105])])). % 16.60/16.72 thf(sP106,plain,sP106 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP106])])). % 16.60/16.72 thf(sP107,plain,sP107 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))))))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))))),introduced(definition,[new_symbols(definition,[sP107])])). % 16.60/16.72 thf(sP108,plain,sP108 <=> (((eigen__0 @ (eigen__0 @ eigen__2)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) => ((eigen__0 @ eigen__2) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))),introduced(definition,[new_symbols(definition,[sP108])])). % 16.60/16.72 thf(sP109,plain,sP109 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP25))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP109])])). % 16.60/16.72 thf(sP110,plain,sP110 <=> ((eigen__0 @ eigen__2) = eigen__1),introduced(definition,[new_symbols(definition,[sP110])])). % 16.60/16.72 thf(sP111,plain,sP111 <=> (((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__1)))))),introduced(definition,[new_symbols(definition,[sP111])])). % 16.60/16.72 thf(sP112,plain,sP112 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP112])])). % 16.60/16.72 thf(sP113,plain,sP113 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP113])])). % 16.60/16.72 thf(sP114,plain,sP114 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP114])])). % 16.60/16.72 thf(sP115,plain,sP115 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP61))),introduced(definition,[new_symbols(definition,[sP115])])). % 16.60/16.72 thf(sP116,plain,sP116 <=> ((~(((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,[sP116])])). % 16.60/16.72 thf(sP117,plain,sP117 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP117])])). % 16.60/16.72 thf(sP118,plain,sP118 <=> (sP68 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP118])])). % 16.60/16.72 thf(sP119,plain,sP119 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))),introduced(definition,[new_symbols(definition,[sP119])])). % 16.60/16.72 thf(sP120,plain,sP120 <=> ((eigen__0 @ (eigen__0 @ eigen__2)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))),introduced(definition,[new_symbols(definition,[sP120])])). % 16.60/16.72 thf(sP121,plain,sP121 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP121])])). % 16.60/16.72 thf(sP122,plain,sP122 <=> (((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP122])])). % 16.60/16.72 thf(sP123,plain,sP123 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP123])])). % 16.60/16.72 thf(sP124,plain,sP124 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP124])])). % 16.60/16.72 thf(sP125,plain,sP125 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP125])])). % 16.60/16.72 thf(sP126,plain,sP126 <=> ((~((eigen__1 = (eigen__0 @ eigen__1)))) => sP13),introduced(definition,[new_symbols(definition,[sP126])])). % 16.60/16.72 thf(sP127,plain,sP127 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ eigen__1)) @ X1) => (~(((b @ (eigen__0 @ eigen__1)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP127])])). % 16.60/16.72 thf(sP128,plain,sP128 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP128])])). % 16.60/16.72 thf(sP129,plain,sP129 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP129])])). % 16.60/16.72 thf(sP130,plain,sP130 <=> (![X1:$i]:(((eigen__0 @ eigen__2) = X1) => (X1 = (eigen__0 @ eigen__2)))),introduced(definition,[new_symbols(definition,[sP130])])). % 16.60/16.72 thf(sP131,plain,sP131 <=> ((~((sP16 => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(sP61))),introduced(definition,[new_symbols(definition,[sP131])])). % 16.60/16.72 thf(sP132,plain,sP132 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP132])])). % 16.60/16.72 thf(sP133,plain,sP133 <=> (((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP133])])). % 16.60/16.72 thf(sP134,plain,sP134 <=> (![X1:$i]:((~((sP25 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP134])])). % 16.60/16.72 thf(sP135,plain,sP135 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP135])])). % 16.60/16.72 thf(sP136,plain,sP136 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))) => sP68),introduced(definition,[new_symbols(definition,[sP136])])). % 16.60/16.72 thf(sP137,plain,sP137 <=> (![X1:$i]:((~((sP31 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP137])])). % 16.60/16.72 thf(sP138,plain,sP138 <=> (![X1:$i]:(![X2:$i]:((X1 = X2) => (X2 = X1)))),introduced(definition,[new_symbols(definition,[sP138])])). % 16.60/16.72 thf(sP139,plain,sP139 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))),introduced(definition,[new_symbols(definition,[sP139])])). % 16.60/16.72 thf(sP140,plain,sP140 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP140])])). % 16.60/16.72 thf(sP141,plain,sP141 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP141])])). % 16.60/16.72 thf(sP142,plain,sP142 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP142])])). % 16.60/16.72 thf(sP143,plain,sP143 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP143])])). % 16.60/16.72 thf(sP144,plain,sP144 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP144])])). % 16.60/16.72 thf(sP145,plain,sP145 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP31))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP145])])). % 16.60/16.72 thf(sP146,plain,sP146 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP146])])). % 16.60/16.72 thf(sP147,plain,sP147 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(sP146))),introduced(definition,[new_symbols(definition,[sP147])])). % 16.60/16.72 thf(sP148,plain,sP148 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP148])])). % 16.60/16.72 thf(sP149,plain,sP149 <=> (![X1:$i]:((~((((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP149])])). % 16.60/16.72 thf(sP150,plain,sP150 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP150])])). % 16.60/16.72 thf(sP151,plain,sP151 <=> ((eigen__0 @ eigen__2) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))),introduced(definition,[new_symbols(definition,[sP151])])). % 16.60/16.72 thf(sP152,plain,sP152 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP152])])). % 16.60/16.72 thf(sP153,plain,sP153 <=> ((~(sP47)) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP153])])). % 16.60/16.72 thf(sP154,plain,sP154 <=> (sP105 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP154])])). % 16.60/16.72 thf(sP155,plain,sP155 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP155])])). % 16.60/16.72 thf(sP156,plain,sP156 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP156])])). % 16.60/16.72 thf(sP157,plain,sP157 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1))),introduced(definition,[new_symbols(definition,[sP157])])). % 16.60/16.72 thf(sP158,plain,sP158 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP158])])). % 16.60/16.72 thf(sP159,plain,sP159 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP159])])). % 16.60/16.72 thf(sP160,plain,sP160 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP160])])). % 16.60/16.72 thf(sP161,plain,sP161 <=> ((eigen__0 @ eigen__1) = eigen__1),introduced(definition,[new_symbols(definition,[sP161])])). % 16.60/16.72 thf(sP162,plain,sP162 <=> ((~(sP80)) => sP105),introduced(definition,[new_symbols(definition,[sP162])])). % 16.60/16.72 thf(sP163,plain,sP163 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP163])])). % 16.60/16.72 thf(sP164,plain,sP164 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP164])])). % 16.60/16.72 thf(sP165,plain,sP165 <=> ((~(sP38)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP165])])). % 16.60/16.72 thf(sP166,plain,sP166 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP166])])). % 16.60/16.72 thf(sP167,plain,sP167 <=> ((~(sP166)) => (~(((b @ eigen__1) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP167])])). % 16.60/16.72 thf(sP168,plain,sP168 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP168])])). % 16.60/16.72 thf(sP169,plain,sP169 <=> (sP21 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = eigen__1)),introduced(definition,[new_symbols(definition,[sP169])])). % 16.60/16.72 thf(sP170,plain,sP170 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP170])])). % 16.60/16.72 thf(sP171,plain,sP171 <=> (((eigen__0 @ eigen__1) = (eigen__0 @ eigen__2)) => sP74),introduced(definition,[new_symbols(definition,[sP171])])). % 16.60/16.72 thf(sP172,plain,sP172 <=> ((~(sP106)) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP172])])). % 16.60/16.72 thf(sP173,plain,sP173 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP173])])). % 16.60/16.72 thf(sP174,plain,sP174 <=> (sP123 => (~(sP128))),introduced(definition,[new_symbols(definition,[sP174])])). % 16.60/16.72 thf(sP175,plain,sP175 <=> ((~((sP85 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ eigen__1))))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP175])])). % 16.60/16.72 thf(sP176,plain,sP176 <=> (![X1:$i]:((~((sP123 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP176])])). % 16.60/16.72 thf(sP177,plain,sP177 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP177])])). % 16.60/16.72 thf(sP178,plain,sP178 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP31))),introduced(definition,[new_symbols(definition,[sP178])])). % 16.60/16.72 thf(sP179,plain,sP179 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP179])])). % 16.60/16.72 thf(sP180,plain,sP180 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(sP43))))) => (~(sP105))),introduced(definition,[new_symbols(definition,[sP180])])). % 16.60/16.72 thf(sP181,plain,sP181 <=> (sP84 => (~(sP84))),introduced(definition,[new_symbols(definition,[sP181])])). % 16.60/16.72 thf(sP182,plain,sP182 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(sP123))),introduced(definition,[new_symbols(definition,[sP182])])). % 16.60/16.72 thf(sP183,plain,sP183 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP61))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP183])])). % 16.60/16.72 thf(sP184,plain,sP184 <=> (![X1:$i]:((~((sP163 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP184])])). % 16.60/16.72 thf(sP185,plain,sP185 <=> ((eigen__0 @ (eigen__0 @ eigen__2)) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP185])])). % 16.60/16.72 thf(sP186,plain,sP186 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ eigen__2)),introduced(definition,[new_symbols(definition,[sP186])])). % 16.60/16.72 thf(sP187,plain,sP187 <=> ((~(((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))))) => ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))))),introduced(definition,[new_symbols(definition,[sP187])])). % 16.60/16.72 thf(sP188,plain,sP188 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ eigen__2)) @ X1) => (~(((b @ (eigen__0 @ eigen__2)) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP188])])). % 16.60/16.72 thf(sP189,plain,sP189 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ eigen__1)))))) => (~(sP156))),introduced(definition,[new_symbols(definition,[sP189])])). % 16.60/16.72 thf(sP190,plain,sP190 <=> ((~((sP25 => (~(sP43))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP190])])). % 16.60/16.72 thf(sP191,plain,sP191 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP191])])). % 16.60/16.72 thf(sP192,plain,sP192 <=> ((~(((~(sP50)) => sP25))) => sP123),introduced(definition,[new_symbols(definition,[sP192])])). % 16.60/16.72 thf(sP193,plain,sP193 <=> ((~(sP12)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))))),introduced(definition,[new_symbols(definition,[sP193])])). % 16.60/16.72 thf(sP194,plain,sP194 <=> (sP50 => sP185),introduced(definition,[new_symbols(definition,[sP194])])). % 16.60/16.72 thf(sP195,plain,sP195 <=> (![X1:$i]:((~((sP128 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP195])])). % 16.60/16.72 thf(sP196,plain,sP196 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP196])])). % 16.60/16.72 thf(sP197,plain,sP197 <=> (![X1:$i]:((~((sP16 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP197])])). % 16.60/16.72 thf(sP198,plain,sP198 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ eigen__1) @ X1))))),introduced(definition,[new_symbols(definition,[sP198])])). % 16.60/16.72 thf(sP199,plain,sP199 <=> ((~(((~(((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)))))) => sP168),introduced(definition,[new_symbols(definition,[sP199])])). % 16.60/16.72 thf(sP200,plain,sP200 <=> ((~(sP40)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP200])])). % 16.60/16.72 thf(sP201,plain,sP201 <=> (((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__1)))))),introduced(definition,[new_symbols(definition,[sP201])])). % 16.60/16.72 thf(sP202,plain,sP202 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ eigen__1)))) => sP33),introduced(definition,[new_symbols(definition,[sP202])])). % 16.60/16.72 thf(sP203,plain,sP203 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) => (~(sP156))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP203])])). % 16.60/16.72 thf(sP204,plain,sP204 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = eigen__1))) => sP43),introduced(definition,[new_symbols(definition,[sP204])])). % 16.60/16.72 thf(sP205,plain,sP205 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP205])])). % 16.60/16.72 thf(sP206,plain,sP206 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP61))),introduced(definition,[new_symbols(definition,[sP206])])). % 16.60/16.72 thf(sP207,plain,sP207 <=> ((~(((~(sP110)) => ((r @ (eigen__0 @ eigen__2)) @ eigen__1)))) => ((b @ (eigen__0 @ eigen__2)) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP207])])). % 16.60/16.72 thf(sP208,plain,sP208 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) = X1))),introduced(definition,[new_symbols(definition,[sP208])])). % 16.60/16.72 thf(sP209,plain,sP209 <=> ((eigen__0 @ eigen__2) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP209])])). % 16.60/16.72 thf(sP210,plain,sP210 <=> ((eigen__1 = (eigen__0 @ eigen__1)) => sP161),introduced(definition,[new_symbols(definition,[sP210])])). % 16.60/16.72 thf(sP211,plain,sP211 <=> ((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1))) => sP121))) => sP61),introduced(definition,[new_symbols(definition,[sP211])])). % 16.60/16.72 thf(sP212,plain,sP212 <=> ((~(sP19)) => (~(((b @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP212])])). % 16.60/16.72 thf(sP213,plain,sP213 <=> (![X1:$i]:((~((sP33 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP213])])). % 16.60/16.72 thf(sP214,plain,sP214 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP214])])). % 16.60/16.72 thf(sP215,plain,sP215 <=> (((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP215])])). % 16.60/16.72 thf(sP216,plain,sP216 <=> ((~(sP75)) => (~(((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP216])])). % 16.60/16.72 thf(sP217,plain,sP217 <=> ((~(sP172)) => ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP217])])). % 16.60/16.72 thf(sP218,plain,sP218 <=> (![X1:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (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))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP218])])). % 16.60/16.72 thf(sP219,plain,sP219 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP219])])). % 16.60/16.72 thf(sP220,plain,sP220 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP220])])). % 16.60/16.72 thf(sP221,plain,sP221 <=> (![X1:$i]:(~((![X2:$i]:(~(((eigen__0 @ X2) = X1))))))),introduced(definition,[new_symbols(definition,[sP221])])). % 16.60/16.72 thf(sP222,plain,sP222 <=> ((~(sP24)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP222])])). % 16.60/16.72 thf(sP223,plain,sP223 <=> ((~(sP142)) => (~(sP163))),introduced(definition,[new_symbols(definition,[sP223])])). % 16.60/16.72 thf(sP224,plain,sP224 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP224])])). % 16.60/16.72 thf(sP225,plain,sP225 <=> ((~((sP146 => (~(sP33))))) => (~(sP219))),introduced(definition,[new_symbols(definition,[sP225])])). % 16.60/16.72 thf(sP226,plain,sP226 <=> ((~(sP126)) => ((b @ eigen__1) @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP226])])). % 16.60/16.72 thf(sP227,plain,sP227 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))))) => (~(sP33))),introduced(definition,[new_symbols(definition,[sP227])])). % 16.60/16.72 thf(sP228,plain,sP228 <=> (sP33 => (~(sP25))),introduced(definition,[new_symbols(definition,[sP228])])). % 16.60/16.72 thf(sP229,plain,sP229 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP229])])). % 16.60/16.72 thf(sP230,plain,sP230 <=> (((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,[sP230])])). % 16.60/16.72 thf(sP231,plain,sP231 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)))) => sP219),introduced(definition,[new_symbols(definition,[sP231])])). % 16.60/16.72 thf(sP232,plain,sP232 <=> ((~(sP111)) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP232])])). % 16.60/16.72 thf(sP233,plain,sP233 <=> ((~((((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__1)))))))) => (~(((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP233])])). % 16.60/16.72 thf(sP234,plain,sP234 <=> ((~((sP33 => (~(sP43))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP234])])). % 16.60/16.72 thf(sP235,plain,sP235 <=> (![X1:$i]:((~((sP112 => (~(((b @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP235])])). % 16.60/16.72 thf(sP236,plain,sP236 <=> (sP144 => sP161),introduced(definition,[new_symbols(definition,[sP236])])). % 16.60/16.72 thf(sP237,plain,sP237 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP237])])). % 16.60/16.72 thf(sP238,plain,sP238 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP31))),introduced(definition,[new_symbols(definition,[sP238])])). % 16.60/16.72 thf(sP239,plain,sP239 <=> ((~(((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))) => sP16),introduced(definition,[new_symbols(definition,[sP239])])). % 16.60/16.72 thf(sP240,plain,sP240 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP240])])). % 16.60/16.72 thf(sP241,plain,sP241 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP241])])). % 16.60/16.72 thf(sP242,plain,sP242 <=> (![X1:$i]:((~(((~((eigen__1 = X1))) => ((r @ eigen__1) @ X1)))) => ((b @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP242])])). % 16.60/16.72 thf(sP243,plain,sP243 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = eigen__1),introduced(definition,[new_symbols(definition,[sP243])])). % 16.60/16.72 thf(sP244,plain,sP244 <=> (sP128 => (~(sP241))),introduced(definition,[new_symbols(definition,[sP244])])). % 16.60/16.72 thf(sP245,plain,sP245 <=> (((r @ (eigen__0 @ eigen__2)) @ (eigen__0 @ eigen__2)) => (~(((r @ (eigen__0 @ eigen__2)) @ (eigen__0 @ eigen__2))))),introduced(definition,[new_symbols(definition,[sP245])])). % 16.60/16.72 thf(sP246,plain,sP246 <=> ((~(sP140)) => (~(sP25))),introduced(definition,[new_symbols(definition,[sP246])])). % 16.60/16.72 thf(sP247,plain,sP247 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP247])])). % 16.60/16.72 thf(sP248,plain,sP248 <=> ((~(sP187)) => sP224),introduced(definition,[new_symbols(definition,[sP248])])). % 16.60/16.72 thf(sP249,plain,sP249 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP249])])). % 16.60/16.72 thf(sP250,plain,sP250 <=> (((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ eigen__2))) => ((eigen__0 @ eigen__1) = (eigen__0 @ eigen__2))),introduced(definition,[new_symbols(definition,[sP250])])). % 16.60/16.72 thf(sP251,plain,sP251 <=> (sP72 => sP221),introduced(definition,[new_symbols(definition,[sP251])])). % 16.60/16.72 thf(sP252,plain,sP252 <=> ((b @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP252])])). % 16.60/16.72 thf(sP253,plain,sP253 <=> ((~(sP58)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP253])])). % 16.60/16.72 thf(sP254,plain,sP254 <=> ((~(sP46)) => (~(sP252))),introduced(definition,[new_symbols(definition,[sP254])])). % 16.60/16.72 thf(sP255,plain,sP255 <=> (((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP255])])). % 16.60/16.72 thf(sP256,plain,sP256 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = eigen__1),introduced(definition,[new_symbols(definition,[sP256])])). % 16.60/16.72 thf(sP257,plain,sP257 <=> (sP33 => (~(sP43))),introduced(definition,[new_symbols(definition,[sP257])])). % 16.60/16.72 thf(sP258,plain,sP258 <=> (![X1:$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))))),introduced(definition,[new_symbols(definition,[sP258])])). % 16.60/16.72 thf(sP259,plain,sP259 <=> ((~(sP118)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP259])])). % 16.60/16.72 thf(sP260,plain,sP260 <=> ((eigen__0 @ (eigen__0 @ eigen__2)) = eigen__1),introduced(definition,[new_symbols(definition,[sP260])])). % 16.60/16.72 thf(sP261,plain,sP261 <=> ((~(sP98)) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP261])])). % 16.60/16.72 thf(sP262,plain,sP262 <=> (sP112 => (~(sP252))),introduced(definition,[new_symbols(definition,[sP262])])). % 16.60/16.72 thf(sP263,plain,sP263 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP263])])). % 16.60/16.72 thf(sP264,plain,sP264 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP264])])). % 16.60/16.72 thf(sP265,plain,sP265 <=> (sP139 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP265])])). % 16.60/16.72 thf(sP266,plain,sP266 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP266])])). % 16.60/16.72 thf(sP267,plain,sP267 <=> ((~((sP220 => (~(sP263))))) => (~(sP121))),introduced(definition,[new_symbols(definition,[sP267])])). % 16.60/16.72 thf(sP268,plain,sP268 <=> ((~(sP133)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP268])])). % 16.60/16.72 thf(sP269,plain,sP269 <=> ((~((((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))))) => (~(sP105))),introduced(definition,[new_symbols(definition,[sP269])])). % 16.60/16.72 thf(sP270,plain,sP270 <=> ((~(sP125)) => sP220),introduced(definition,[new_symbols(definition,[sP270])])). % 16.60/16.72 thf(sP271,plain,sP271 <=> (sP101 => sP209),introduced(definition,[new_symbols(definition,[sP271])])). % 16.60/16.72 thf(sP272,plain,sP272 <=> ((b @ eigen__1) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP272])])). % 16.60/16.72 thf(sP273,plain,sP273 <=> ((~(sP52)) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP273])])). % 16.60/16.72 thf(sP274,plain,sP274 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ eigen__2))),introduced(definition,[new_symbols(definition,[sP274])])). % 16.60/16.72 thf(sP275,plain,sP275 <=> ((~(sP230)) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP275])])). % 16.60/16.72 thf(sP276,plain,sP276 <=> ((~((sP263 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))))) => (~(sP13))),introduced(definition,[new_symbols(definition,[sP276])])). % 16.60/16.72 thf(sP277,plain,sP277 <=> (((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,[sP277])])). % 16.60/16.72 thf(sP278,plain,sP278 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => sP101),introduced(definition,[new_symbols(definition,[sP278])])). % 16.60/16.72 thf(sP279,plain,sP279 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = eigen__1),introduced(definition,[new_symbols(definition,[sP279])])). % 16.60/16.72 thf(sP280,plain,sP280 <=> ((~(sP215)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP280])])). % 16.60/16.72 thf(sP281,plain,sP281 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP281])])). % 16.60/16.72 thf(sP282,plain,sP282 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP282])])). % 16.60/16.73 thf(sP283,plain,sP283 <=> (sP85 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP283])])). % 16.60/16.73 thf(sP284,plain,sP284 <=> ((~(sP154)) => (~(sP13))),introduced(definition,[new_symbols(definition,[sP284])])). % 16.60/16.73 thf(sP285,plain,sP285 <=> (sP177 => sP21),introduced(definition,[new_symbols(definition,[sP285])])). % 16.60/16.73 thf(sP286,plain,sP286 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (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,[sP286])])). % 16.60/16.73 thf(sP287,plain,sP287 <=> (![X1:$i]:((~((sP264 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP287])])). % 16.60/16.73 thf(sP288,plain,sP288 <=> ((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP219))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP288])])). % 16.60/16.73 thf(sP289,plain,sP289 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ eigen__2)),introduced(definition,[new_symbols(definition,[sP289])])). % 16.60/16.73 thf(sP290,plain,sP290 <=> ((~(sP99)) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP290])])). % 16.60/16.73 thf(sP291,plain,sP291 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP291])])). % 16.60/16.73 thf(sP292,plain,sP292 <=> (sP68 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP292])])). % 16.60/16.73 thf(sP293,plain,sP293 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP293])])). % 16.60/16.73 thf(sP294,plain,sP294 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP294])])). % 16.60/16.73 thf(sP295,plain,sP295 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP295])])). % 16.60/16.73 thf(sP296,plain,sP296 <=> (sP205 => sP243),introduced(definition,[new_symbols(definition,[sP296])])). % 16.60/16.73 thf(sP297,plain,sP297 <=> ((~((((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP61))),introduced(definition,[new_symbols(definition,[sP297])])). % 16.60/16.73 thf(sP298,plain,sP298 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP298])])). % 16.60/16.73 thf(sP299,plain,sP299 <=> ((~(sP115)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP299])])). % 16.60/16.73 thf(sP300,plain,sP300 <=> ((~(sP178)) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP300])])). % 16.60/16.73 thf(sP301,plain,sP301 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP301])])). % 16.60/16.73 thf(sP302,plain,sP302 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP302])])). % 16.60/16.73 thf(sP303,plain,sP303 <=> ((~(sP204)) => sP241),introduced(definition,[new_symbols(definition,[sP303])])). % 16.60/16.73 thf(sP304,plain,sP304 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP304])])). % 16.60/16.73 thf(sP305,plain,sP305 <=> ((~(sP50)) => sP25),introduced(definition,[new_symbols(definition,[sP305])])). % 16.60/16.73 thf(sP306,plain,sP306 <=> (sP16 => (~(sP252))),introduced(definition,[new_symbols(definition,[sP306])])). % 16.60/16.73 thf(sP307,plain,sP307 <=> (![X1:$i]:((~((sP301 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP307])])). % 16.60/16.73 thf(sP308,plain,sP308 <=> (![X1:$i]:(![X2:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X2)))))) => (~(((r @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP308])])). % 16.60/16.73 thf(sP309,plain,sP309 <=> (((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP309])])). % 16.60/16.73 thf(sP310,plain,sP310 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP310])])). % 16.60/16.73 thf(sP311,plain,sP311 <=> ((b @ (eigen__0 @ eigen__2)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP311])])). % 16.60/16.73 thf(sP312,plain,sP312 <=> ((~(sP110)) => ((r @ (eigen__0 @ eigen__2)) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP312])])). % 16.60/16.73 thf(sP313,plain,sP313 <=> (![X1:$i]:(![X2:$i]:((~((((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X2)))))) => (~(((b @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP313])])). % 16.60/16.73 thf(sP314,plain,sP314 <=> (sP263 => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP314])])). % 16.60/16.73 thf(sP315,plain,sP315 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) => (~(sP43))),introduced(definition,[new_symbols(definition,[sP315])])). % 16.60/16.73 thf(sP316,plain,sP316 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))),introduced(definition,[new_symbols(definition,[sP316])])). % 16.60/16.73 thf(sP317,plain,sP317 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP317])])). % 16.60/16.73 thf(sP318,plain,sP318 <=> (sP317 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP318])])). % 16.60/16.73 thf(sP319,plain,sP319 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP319])])). % 16.60/16.73 thf(sP320,plain,sP320 <=> (sP304 => (~(sP156))),introduced(definition,[new_symbols(definition,[sP320])])). % 16.60/16.73 thf(sP321,plain,sP321 <=> ((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP321])])). % 16.60/16.73 thf(sP322,plain,sP322 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP322])])). % 16.60/16.73 thf(sP323,plain,sP323 <=> ((~(sP119)) => sP316),introduced(definition,[new_symbols(definition,[sP323])])). % 16.60/16.73 thf(sP324,plain,sP324 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))),introduced(definition,[new_symbols(definition,[sP324])])). % 16.60/16.73 thf(sP325,plain,sP325 <=> ((~(sP141)) => ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP325])])). % 16.60/16.73 thf(sP326,plain,sP326 <=> (((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))) => sP144),introduced(definition,[new_symbols(definition,[sP326])])). % 16.60/16.73 thf(sP327,plain,sP327 <=> ((~(sP177)) => sP264),introduced(definition,[new_symbols(definition,[sP327])])). % 16.60/16.73 thf(sP328,plain,sP328 <=> (sP146 => (~(sP33))),introduced(definition,[new_symbols(definition,[sP328])])). % 16.60/16.73 thf(sP329,plain,sP329 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP329])])). % 16.60/16.73 thf(sP330,plain,sP330 <=> ((~(sP237)) => (~(sP272))),introduced(definition,[new_symbols(definition,[sP330])])). % 16.60/16.73 thf(sP331,plain,sP331 <=> ((~(sP279)) => sP121),introduced(definition,[new_symbols(definition,[sP331])])). % 16.60/16.73 thf(sP332,plain,sP332 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) = eigen__1),introduced(definition,[new_symbols(definition,[sP332])])). % 16.60/16.73 thf(sP333,plain,sP333 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ eigen__1)) = X1))),introduced(definition,[new_symbols(definition,[sP333])])). % 16.60/16.73 thf(sP334,plain,sP334 <=> ((~(sP240)) => (~(sP61))),introduced(definition,[new_symbols(definition,[sP334])])). % 16.60/16.73 thf(sP335,plain,sP335 <=> ((~(sP23)) => (~(sP163))),introduced(definition,[new_symbols(definition,[sP335])])). % 16.60/16.73 thf(sP336,plain,sP336 <=> (![X1:$i]:((eigen__1 = X1) => (X1 = eigen__1))),introduced(definition,[new_symbols(definition,[sP336])])). % 16.60/16.73 thf(sP337,plain,sP337 <=> (![X1:$i]:((~((((r @ (eigen__0 @ eigen__2)) @ (eigen__0 @ eigen__2)) => (~(((r @ (eigen__0 @ eigen__2)) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__2)) @ X1))))),introduced(definition,[new_symbols(definition,[sP337])])). % 16.60/16.73 thf(sP338,plain,sP338 <=> (![X1:$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,[sP338])])). % 16.60/16.73 thf(sP339,plain,sP339 <=> ((~(sP201)) => (~(sP168))),introduced(definition,[new_symbols(definition,[sP339])])). % 16.60/16.73 thf(sP340,plain,sP340 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP340])])). % 16.60/16.73 thf(sP341,plain,sP341 <=> (sP125 => ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP341])])). % 16.60/16.73 thf(sP342,plain,sP342 <=> ((~(sP161)) => ((r @ (eigen__0 @ eigen__1)) @ eigen__1)),introduced(definition,[new_symbols(definition,[sP342])])). % 16.60/16.73 thf(sP343,plain,sP343 <=> (![X1:$i]:((~((sP329 => (~(((r @ (eigen__0 @ eigen__1)) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP343])])). % 16.60/16.73 thf(sP344,plain,sP344 <=> (sP214 => sP291),introduced(definition,[new_symbols(definition,[sP344])])). % 16.60/16.73 thf(sP345,plain,sP345 <=> ((~(sP18)) => (~(sP105))),introduced(definition,[new_symbols(definition,[sP345])])). % 16.60/16.73 thf(sP346,plain,sP346 <=> ((~(sP182)) => (~(sP302))),introduced(definition,[new_symbols(definition,[sP346])])). % 16.60/16.73 thf(sP347,plain,sP347 <=> (![X1:$i]:((~((sP220 => (~(((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,[sP347])])). % 16.60/16.73 thf(sP348,plain,sP348 <=> (![X1:$i]:((~((sP281 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP348])])). % 16.60/16.73 thf(sP349,plain,sP349 <=> ((~(sP147)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))))))),introduced(definition,[new_symbols(definition,[sP349])])). % 16.60/16.73 thf(sP350,plain,sP350 <=> (![X1:$i]:((~(((~(((eigen__0 @ eigen__2) = X1))) => ((r @ (eigen__0 @ eigen__2)) @ X1)))) => ((b @ (eigen__0 @ eigen__2)) @ X1))),introduced(definition,[new_symbols(definition,[sP350])])). % 16.60/16.73 thf(sP351,plain,sP351 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP351])])). % 16.60/16.73 thf(sP352,plain,sP352 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ eigen__2)) = (eigen__0 @ X1)) => ((eigen__0 @ eigen__2) = X1))),introduced(definition,[new_symbols(definition,[sP352])])). % 16.60/16.73 thf(sP353,plain,sP353 <=> (![X1:$i]:(![X2:$i]:((~(((~((X1 = X2))) => ((r @ X1) @ X2)))) => ((b @ X1) @ X2)))),introduced(definition,[new_symbols(definition,[sP353])])). % 16.60/16.73 thf(sP354,plain,sP354 <=> (![X1:$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,[sP354])])). % 16.60/16.73 thf(sP355,plain,sP355 <=> ((~(sP116)) => sP322),introduced(definition,[new_symbols(definition,[sP355])])). % 16.60/16.73 thf(sP356,plain,sP356 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP356])])). % 16.60/16.73 thf(sP357,plain,sP357 <=> ((~(sP82)) => (~(sP263))),introduced(definition,[new_symbols(definition,[sP357])])). % 16.60/16.73 thf(sP358,plain,sP358 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP358])])). % 16.60/16.73 thf(sP359,plain,sP359 <=> ((~(((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,[sP359])])). % 16.60/16.73 thf(sP360,plain,sP360 <=> (sP168 => (~(sP358))),introduced(definition,[new_symbols(definition,[sP360])])). % 16.60/16.73 thf(sP361,plain,sP361 <=> (sP40 => sP332),introduced(definition,[new_symbols(definition,[sP361])])). % 16.60/16.73 thf(sP362,plain,sP362 <=> (sP294 => (~(sP329))),introduced(definition,[new_symbols(definition,[sP362])])). % 16.60/16.73 thf(sP363,plain,sP363 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((b @ X1) @ X2) => (~(((b @ X1) @ X3)))))) => (~(((b @ X2) @ X3))))))),introduced(definition,[new_symbols(definition,[sP363])])). % 16.60/16.73 thf(sP364,plain,sP364 <=> ((~(sP231)) => sP281),introduced(definition,[new_symbols(definition,[sP364])])). % 16.60/16.73 thf(sP365,plain,sP365 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))),introduced(definition,[new_symbols(definition,[sP365])])). % 16.60/16.73 thf(sP366,plain,sP366 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))),introduced(definition,[new_symbols(definition,[sP366])])). % 16.60/16.73 thf(sP367,plain,sP367 <=> ((~(sP86)) => sP112),introduced(definition,[new_symbols(definition,[sP367])])). % 16.60/16.73 thf(sP368,plain,sP368 <=> ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP368])])). % 16.60/16.73 thf(sP369,plain,sP369 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))))),introduced(definition,[new_symbols(definition,[sP369])])). % 16.60/16.73 thf(sP370,plain,sP370 <=> (eigen__1 = eigen__1),introduced(definition,[new_symbols(definition,[sP370])])). % 16.60/16.73 thf(sP371,plain,sP371 <=> (eigen__1 = (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP371])])). % 16.60/16.73 thf(sP372,plain,sP372 <=> ((~(sP97)) => (~(sP163))),introduced(definition,[new_symbols(definition,[sP372])])). % 16.60/16.73 thf(sP373,plain,sP373 <=> ((b @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP373])])). % 16.60/16.73 thf(sP374,plain,sP374 <=> (![X1:$i]:((~((sP85 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))))) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP374])])). % 16.60/16.73 thf(sP375,plain,sP375 <=> (![X1:$i]:((~((sP368 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP375])])). % 16.60/16.73 thf(sP376,plain,sP376 <=> (sP282 => sP50),introduced(definition,[new_symbols(definition,[sP376])])). % 16.60/16.73 thf(sP377,plain,sP377 <=> (![X1:$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,[sP377])])). % 16.60/16.73 thf(sP378,plain,sP378 <=> ((~(sP15)) => (~(sP272))),introduced(definition,[new_symbols(definition,[sP378])])). % 16.60/16.73 thf(sP379,plain,sP379 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = eigen__1),introduced(definition,[new_symbols(definition,[sP379])])). % 16.60/16.73 thf(sP380,plain,sP380 <=> (![X1:$i]:((~((sP168 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1))))),introduced(definition,[new_symbols(definition,[sP380])])). % 16.60/16.73 thf(sP381,plain,sP381 <=> ((~((sP224 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))))) => (~(sP156))),introduced(definition,[new_symbols(definition,[sP381])])). % 16.60/16.73 thf(sP382,plain,sP382 <=> (sP294 => (~(((r @ (eigen__0 @ eigen__1)) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP382])])). % 16.60/16.73 thf(sP383,plain,sP383 <=> (sP220 => (~(sP263))),introduced(definition,[new_symbols(definition,[sP383])])). % 16.60/16.73 thf(sP384,plain,sP384 <=> ((~(sP124)) => (~(sP121))),introduced(definition,[new_symbols(definition,[sP384])])). % 16.60/16.73 thf(sP385,plain,sP385 <=> (![X1:$i]:((~((sP295 => (~(((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,[sP385])])). % 16.60/16.73 thf(sP386,plain,sP386 <=> (![X1:$i]:(~(((eigen__0 @ X1) = eigen__1)))),introduced(definition,[new_symbols(definition,[sP386])])). % 16.60/16.73 thf(sP387,plain,sP387 <=> ((~(sP181)) => (~(sP84))),introduced(definition,[new_symbols(definition,[sP387])])). % 16.60/16.73 thf(sP388,plain,sP388 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ eigen__1)) = X1) => (X1 = (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP388])])). % 16.60/16.73 thf(sP389,plain,sP389 <=> ((~(sP136)) => sP368),introduced(definition,[new_symbols(definition,[sP389])])). % 16.60/16.73 thf(sP390,plain,sP390 <=> ((~(sP88)) => (~(sP264))),introduced(definition,[new_symbols(definition,[sP390])])). % 16.60/16.73 thf(sP391,plain,sP391 <=> (sP106 => sP144),introduced(definition,[new_symbols(definition,[sP391])])). % 16.60/16.73 thf(sP392,plain,sP392 <=> (![X1:$i]:((~(((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))) = X1))) => ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))) => ((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1))),introduced(definition,[new_symbols(definition,[sP392])])). % 16.60/16.73 thf(sP393,plain,sP393 <=> (sP224 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1)))),introduced(definition,[new_symbols(definition,[sP393])])). % 16.60/16.73 thf(sP394,plain,sP394 <=> ((~(sP164)) => (~(sP168))),introduced(definition,[new_symbols(definition,[sP394])])). % 16.60/16.73 thf(sP395,plain,sP395 <=> (![X1:$i]:((~((sP219 => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP395])])). % 16.60/16.73 thf(sP396,plain,sP396 <=> ((r @ (eigen__0 @ eigen__1)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP396])])). % 16.60/16.73 thf(sP397,plain,sP397 <=> ((~(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP146),introduced(definition,[new_symbols(definition,[sP397])])). % 16.60/16.73 thf(sP398,plain,sP398 <=> (sP48 => sP40),introduced(definition,[new_symbols(definition,[sP398])])). % 16.60/16.73 thf(sP399,plain,sP399 <=> (![X1:$i]:((~((sP224 => (~(((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP399])])). % 16.60/16.73 thf(sP400,plain,sP400 <=> (sP25 => (~(sP43))),introduced(definition,[new_symbols(definition,[sP400])])). % 16.60/16.73 thf(sP401,plain,sP401 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP401])])). % 16.60/16.73 thf(sP402,plain,sP402 <=> ((~(sP327)) => sP302),introduced(definition,[new_symbols(definition,[sP402])])). % 16.60/16.73 thf(sP403,plain,sP403 <=> ((~(sP8)) => (~(sP263))),introduced(definition,[new_symbols(definition,[sP403])])). % 16.60/16.73 thf(sP404,plain,sP404 <=> (![X1:$i]:((~((((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ eigen__1)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ X1)))))) => (~(((r @ (eigen__0 @ eigen__1)) @ X1))))),introduced(definition,[new_symbols(definition,[sP404])])). % 16.60/16.73 thf(sP405,plain,sP405 <=> ((~(sP139)) => ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))))),introduced(definition,[new_symbols(definition,[sP405])])). % 16.60/16.73 thf(sP406,plain,sP406 <=> (sP264 => (~(sP105))),introduced(definition,[new_symbols(definition,[sP406])])). % 16.60/16.73 thf(sP407,plain,sP407 <=> ((~(sP292)) => (~(((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1)))))),introduced(definition,[new_symbols(definition,[sP407])])). % 16.60/16.73 thf(sP408,plain,sP408 <=> ((~(sP5)) => (~(sP317))),introduced(definition,[new_symbols(definition,[sP408])])). % 16.60/16.73 thf(sP409,plain,sP409 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ eigen__1)),introduced(definition,[new_symbols(definition,[sP409])])). % 16.60/16.73 thf(sP410,plain,sP410 <=> (sP185 => sP110),introduced(definition,[new_symbols(definition,[sP410])])). % 16.60/16.73 thf(sP411,plain,sP411 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP411])])). % 16.60/16.73 thf(sP412,plain,sP412 <=> (sP219 => (~(sP121))),introduced(definition,[new_symbols(definition,[sP412])])). % 16.60/16.73 thf(sP413,plain,sP413 <=> ((eigen__0 @ (eigen__0 @ eigen__1)) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP413])])). % 16.60/16.73 thf(sP414,plain,sP414 <=> ((~(((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))))) => sP401),introduced(definition,[new_symbols(definition,[sP414])])). % 16.60/16.73 thf(sP415,plain,sP415 <=> (((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))) => (~(sP219))),introduced(definition,[new_symbols(definition,[sP415])])). % 16.60/16.73 thf(sP416,plain,sP416 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP416])])). % 16.60/16.73 thf(sP417,plain,sP417 <=> ((eigen__0 @ eigen__1) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP417])])). % 16.60/16.73 thf(sP418,plain,sP418 <=> ((~(sP60)) => (~(sP351))),introduced(definition,[new_symbols(definition,[sP418])])). % 16.60/16.73 thf(sP419,plain,sP419 <=> ((r @ (eigen__0 @ eigen__2)) @ (eigen__0 @ eigen__2)),introduced(definition,[new_symbols(definition,[sP419])])). % 16.60/16.73 thf(sP420,plain,sP420 <=> ((r @ (eigen__0 @ eigen__1)) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))),introduced(definition,[new_symbols(definition,[sP420])])). % 16.60/16.73 thf(sP421,plain,sP421 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))) @ (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP421])])). % 16.60/16.73 thf(sP422,plain,sP422 <=> (![X1:$i>$i]:((![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3)))) => (![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2))))))))),introduced(definition,[new_symbols(definition,[sP422])])). % 16.60/16.73 thf(sP423,plain,sP423 <=> ((~(sP44)) => (~(sP409))),introduced(definition,[new_symbols(definition,[sP423])])). % 16.60/16.73 thf(sP424,plain,sP424 <=> ((~(sP174)) => (~(sP301))),introduced(definition,[new_symbols(definition,[sP424])])). % 16.60/16.73 thf(sP425,plain,sP425 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ eigen__1),introduced(definition,[new_symbols(definition,[sP425])])). % 16.60/16.73 thf(sP426,plain,sP426 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))) = (eigen__0 @ (eigen__0 @ eigen__1))),introduced(definition,[new_symbols(definition,[sP426])])). % 16.60/16.73 thf(sP427,plain,sP427 <=> (![X1:$i]:((~((sP316 => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1)))) @ X1)))))) => (~(((b @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ X1))))),introduced(definition,[new_symbols(definition,[sP427])])). % 16.60/16.73 thf(sP428,plain,sP428 <=> (sP229 => (~(sP241))),introduced(definition,[new_symbols(definition,[sP428])])). % 16.60/16.73 thf(sP429,plain,sP429 <=> ((r @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP429])])). % 16.60/16.73 thf(sP430,plain,sP430 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP430])])). % 16.60/16.73 thf(sP431,plain,sP431 <=> (![X1:$i]:(((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ X1)) => ((eigen__0 @ (eigen__0 @ eigen__2)) = X1))),introduced(definition,[new_symbols(definition,[sP431])])). % 16.60/16.73 thf(sP432,plain,sP432 <=> (sP420 => (~(sP329))),introduced(definition,[new_symbols(definition,[sP432])])). % 16.60/16.73 thf(sP433,plain,sP433 <=> ((b @ (eigen__0 @ (eigen__0 @ eigen__1))) @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__1))))),introduced(definition,[new_symbols(definition,[sP433])])). % 16.60/16.73 thf(sP434,plain,sP434 <=> ((~(sP412)) => (~(sP396))),introduced(definition,[new_symbols(definition,[sP434])])). % 16.60/16.73 thf(sP435,plain,sP435 <=> ((r @ (eigen__0 @ eigen__2)) @ eigen__1),introduced(definition,[new_symbols(definition,[sP435])])). % 16.60/16.73 thf(sP436,plain,sP436 <=> ((eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2))) = (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ (eigen__0 @ eigen__2)))))),introduced(definition,[new_symbols(definition,[sP436])])). % 16.60/16.73 thf(def_inj,definition,(inj = (^[X1:$i>$i]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) = (X1 @ X3)) => (X2 = X3))))))). % 16.60/16.73 thf(def_surj,definition,(surj = (^[X1:$i>$i]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X3) = X2)))))))))). % 16.60/16.73 thf(1,plain,((~(sP414) | sP417) | sP401),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(2,plain,((~(sP397) | sP430) | sP146),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(3,plain,(((~(sP435) | sP43) | ~(sP151)) | ~(sP370)),inference(mating_rule,[status(thm)],[])). % 16.60/16.73 thf(4,plain,(((~(sP311) | sP241) | ~(sP151)) | ~(sP370)),inference(mating_rule,[status(thm)],[])). % 16.60/16.73 thf(5,plain,((~(sP119) | sP366) | sP324),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(6,plain,((~(sP323) | sP119) | sP316),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(7,plain,(~(sP114) | sP29),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(8,plain,((~(sP29) | sP71) | ~(sP121)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(9,plain,((~(sP71) | ~(sP416)) | ~(sP105)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(10,plain,(~(sP184) | sP89),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(11,plain,((~(sP89) | sP100) | ~(sP61)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(12,plain,((~(sP100) | ~(sP163)) | ~(sP156)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(13,plain,((~(sP104) | sP362) | ~(sP264)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(14,plain,((~(sP362) | ~(sP294)) | ~(sP329)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(15,plain,(~(sP404) | sP216),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(16,plain,((~(sP216) | sP75) | ~(sP329)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(17,plain,((~(sP75) | ~(sP409)) | ~(sP264)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(18,plain,((~(sP65) | sP93) | ~(sP421)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(19,plain,((~(sP93) | ~(sP401)) | ~(sP329)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(20,plain,((~(sP270) | sP125) | sP220),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(21,plain,((~(sP86) | sP48) | sP294),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(22,plain,((~(sP369) | sP436) | sP429),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(23,plain,((~(sP187) | sP413) | sP293),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(24,plain,(~(sP385) | sP183),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(25,plain,((~(sP183) | sP206) | ~(sP425)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(26,plain,((~(sP206) | ~(sP295)) | ~(sP61)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(27,plain,(~(sP179) | sP385),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(28,plain,(~(sP77) | sP378),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(29,plain,((~(sP378) | sP15) | ~(sP272)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(30,plain,((~(sP15) | ~(sP61)) | ~(sP281)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(31,plain,(~(sP375) | sP299),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(32,plain,((~(sP299) | sP115) | ~(sP358)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(33,plain,((~(sP115) | ~(sP368)) | ~(sP61)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(34,plain,(~(sP375) | sP165),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(35,plain,((~(sP165) | sP38) | ~(sP322)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(36,plain,((~(sP38) | ~(sP368)) | ~(sP281)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(37,plain,(~(sP179) | sP77),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(38,plain,(~(sP348) | sP233),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(39,plain,((~(sP233) | sP255) | ~(sP373)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(40,plain,((~(sP255) | ~(sP281)) | ~(sP295)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(41,plain,(~(sP179) | sP348),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(42,plain,(~(sP179) | sP375),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(43,plain,(~(sP375) | sP339),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(44,plain,((~(sP339) | sP201) | ~(sP168)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(45,plain,((~(sP201) | ~(sP368)) | ~(sP295)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(46,plain,(~(sP395) | sP434),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(47,plain,((~(sP434) | sP412) | ~(sP396)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(48,plain,((~(sP412) | ~(sP219)) | ~(sP121)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(49,plain,(~(sP249) | sP357),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(50,plain,((~(sP357) | sP82) | ~(sP263)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(51,plain,((~(sP82) | ~(sP421)) | ~(sP121)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(52,plain,(~(sP92) | sP249),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(53,plain,(~(sP249) | sP288),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(54,plain,((~(sP288) | sP415) | ~(sP321)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(55,plain,((~(sP415) | ~(sP421)) | ~(sP219)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(56,plain,(~(sP10) | sP259),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(57,plain,((~(sP259) | sP118) | ~(sP351)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(58,plain,((~(sP118) | ~(sP68)) | ~(sP121)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(59,plain,(~(sP10) | sP408),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(60,plain,((~(sP408) | sP5) | ~(sP317)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(61,plain,((~(sP5) | ~(sP68)) | ~(sP219)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(62,plain,(~(sP92) | sP395),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(63,plain,(~(sP92) | sP10),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(64,plain,(~(sP10) | sP407),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(65,plain,((~(sP407) | sP292) | ~(sP411)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(66,plain,((~(sP292) | ~(sP68)) | ~(sP421)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(67,plain,((~(sP239) | sP414) | sP16),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(68,plain,(~(sP338) | sP65),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(69,plain,(~(sP338) | sP384),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(70,plain,((~(sP384) | sP124) | ~(sP121)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(71,plain,((~(sP124) | ~(sP401)) | ~(sP396)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(72,plain,(~(sP197) | sP131),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(73,plain,((~(sP131) | sP306) | ~(sP61)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(74,plain,((~(sP306) | ~(sP16)) | ~(sP252)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(75,plain,((~(sP37) | sP397) | sP310),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(76,plain,(~(sP113) | sP109),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(77,plain,((~(sP109) | sP117) | ~(sP421)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(78,plain,((~(sP117) | ~(sP146)) | ~(sP25)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(79,plain,(~(sP113) | sP64),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(80,plain,((~(sP64) | sP4) | ~(sP121)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(81,plain,((~(sP4) | ~(sP146)) | ~(sP43)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(82,plain,(~(sP113) | sP225),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(83,plain,((~(sP225) | sP328) | ~(sP219)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(84,plain,((~(sP328) | ~(sP146)) | ~(sP33)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(85,plain,(~(sP103) | sP55),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(86,plain,((~(sP55) | sP9) | ~(sP295)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(87,plain,((~(sP9) | ~(sP310)) | ~(sP123)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(88,plain,(~(sP103) | sP334),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(89,plain,((~(sP334) | sP240) | ~(sP61)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(90,plain,((~(sP240) | ~(sP310)) | ~(sP241)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(91,plain,((~(sP26) | sP270) | sP433),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(92,plain,(~(sP347) | sP267),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(93,plain,((~(sP267) | sP383) | ~(sP121)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(94,plain,((~(sP383) | ~(sP220)) | ~(sP263)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(95,plain,(~(sP218) | sP297),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(96,plain,((~(sP297) | sP309) | ~(sP61)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(97,plain,((~(sP309) | ~(sP433)) | ~(sP425)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(98,plain,(~(sP196) | sP184),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(99,plain,(~(sP137) | sP254),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(100,plain,((~(sP254) | sP46) | ~(sP252)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(101,plain,((~(sP46) | ~(sP31)) | ~(sP156)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(102,plain,(~(sP14) | sP45),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(103,plain,((~(sP45) | sP59) | ~(sP425)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(104,plain,((~(sP59) | ~(sP302)) | ~(sP156)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(105,plain,(~(sP196) | sP14),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(106,plain,(~(sP14) | sP145),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(107,plain,((~(sP145) | sP238) | ~(sP301)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(108,plain,((~(sP238) | ~(sP302)) | ~(sP31)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(109,plain,(~(sP155) | sP203),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(110,plain,((~(sP203) | sP320) | ~(sP358)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(111,plain,((~(sP320) | ~(sP304)) | ~(sP156)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(112,plain,(~(sP155) | sP300),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(113,plain,((~(sP300) | sP178) | ~(sP322)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(114,plain,((~(sP178) | ~(sP304)) | ~(sP31)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(115,plain,(~(sP196) | sP137),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(116,plain,(~(sP196) | sP155),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(117,plain,(~(sP155) | sP394),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(118,plain,((~(sP394) | sP164) | ~(sP168)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(119,plain,((~(sP164) | ~(sP304)) | ~(sP302)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(120,plain,(~(sP91) | sP114),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(121,plain,(~(sP287) | sP66),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(122,plain,((~(sP66) | sP406) | ~(sP263)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(123,plain,((~(sP406) | ~(sP264)) | ~(sP105)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(124,plain,(~(sP91) | sP287),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(125,plain,(~(sP374) | sP418),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(126,plain,((~(sP418) | sP60) | ~(sP351)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(127,plain,((~(sP60) | ~(sP85)) | ~(sP105)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(128,plain,(~(sP3) | sP284),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(129,plain,((~(sP284) | sP154) | ~(sP13)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(130,plain,((~(sP154) | ~(sP105)) | ~(sP409)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(131,plain,(~(sP374) | sP175),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(132,plain,((~(sP175) | sP283) | ~(sP317)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(133,plain,((~(sP283) | ~(sP85)) | ~(sP409)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(134,plain,(~(sP91) | sP404),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(135,plain,(~(sP91) | sP374),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(136,plain,(~(sP374) | sP222),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(137,plain,((~(sP222) | sP24) | ~(sP411)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(138,plain,((~(sP24) | ~(sP85)) | ~(sP264)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(139,plain,(~(sP91) | sP3),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(140,plain,((~(sP367) | sP86) | sP112),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(141,plain,(~(sP173) | sP104),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(142,plain,(~(sP173) | sP269),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(143,plain,((~(sP269) | sP382) | ~(sP105)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(144,plain,((~(sP382) | ~(sP294)) | ~(sP396)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(145,plain,(~(sP235) | sP57),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(146,plain,((~(sP57) | sP262) | ~(sP156)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(147,plain,((~(sP262) | ~(sP112)) | ~(sP252)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(148,plain,((~(sP107) | sP369) | sP229),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(149,plain,(~(sP160) | sP390),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(150,plain,((~(sP390) | sP88) | ~(sP264)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(151,plain,((~(sP88) | ~(sP429)) | ~(sP25)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(152,plain,(~(sP160) | sP180),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(153,plain,((~(sP180) | sP315) | ~(sP105)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(154,plain,((~(sP315) | ~(sP429)) | ~(sP43)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(155,plain,(~(sP160) | sP423),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(156,plain,((~(sP423) | sP44) | ~(sP409)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(157,plain,((~(sP44) | ~(sP429)) | ~(sP33)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(158,plain,(~(sP143) | sP346),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(159,plain,((~(sP346) | sP182) | ~(sP302)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(160,plain,((~(sP182) | ~(sP229)) | ~(sP123)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(161,plain,(~(sP143) | sP189),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(162,plain,((~(sP189) | sP428) | ~(sP156)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(163,plain,((~(sP428) | ~(sP229)) | ~(sP241)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(164,plain,((~(sP248) | sP187) | sP224),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(165,plain,(~(sP158) | sP345),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(166,plain,((~(sP345) | sP18) | ~(sP105)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(167,plain,((~(sP18) | ~(sP293)) | ~(sP263)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(168,plain,(~(sP399) | sP381),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(169,plain,((~(sP381) | sP393) | ~(sP156)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(170,plain,((~(sP393) | ~(sP224)) | ~(sP425)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(171,plain,(~(sP173) | sP280),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(172,plain,((~(sP280) | sP215) | ~(sP416)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(173,plain,((~(sP215) | ~(sP294)) | ~(sP401)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(174,plain,(~(sP160) | sP349),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(175,plain,((~(sP349) | sP147) | ~(sP416)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(176,plain,((~(sP147) | ~(sP429)) | ~(sP146)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(177,plain,(~(sP158) | sP268),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(178,plain,((~(sP268) | sP133) | ~(sP416)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(179,plain,((~(sP133) | ~(sP293)) | ~(sP220)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(180,plain,(~(sP235) | sP335),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(181,plain,((~(sP335) | sP23) | ~(sP163)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(182,plain,((~(sP23) | ~(sP112)) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(183,plain,(~(sP143) | sP223),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(184,plain,((~(sP223) | sP142) | ~(sP163)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(185,plain,((~(sP142) | ~(sP229)) | ~(sP310)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(186,plain,(~(sP399) | sP372),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(187,plain,((~(sP372) | sP97) | ~(sP163)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(188,plain,((~(sP97) | ~(sP224)) | ~(sP433)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(189,plain,(~(sP377) | sP389),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(190,plain,((~(sP389) | sP136) | sP368),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(191,plain,((~(sP136) | sP319) | sP68),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(192,plain,(~(sP392) | sP290),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(193,plain,((~(sP290) | sP99) | sP304),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(194,plain,((~(sP99) | sP214) | sP85),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(195,plain,(~(sP258) | sP193),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(196,plain,((~(sP193) | sP12) | ~(sP365)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(197,plain,((~(sP12) | ~(sP322)) | ~(sP316)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(198,plain,(~(sP258) | sP232),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(199,plain,((~(sP232) | sP111) | ~(sP373)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(200,plain,((~(sP111) | ~(sP322)) | ~(sP168)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(201,plain,(((~(sP321) | sP419) | ~(sP186)) | ~(sP289)),inference(mating_rule,[status(thm)],[])). % 16.60/16.73 thf(202,plain,(((~(sP301) | sP84) | ~(sP186)) | ~(sP289)),inference(mating_rule,[status(thm)],[])). % 16.60/16.73 thf(203,plain,(((~(sP263) | sP435) | ~(sP186)) | ~(sP370)),inference(mating_rule,[status(thm)],[])). % 16.60/16.73 thf(204,plain,(((~(sP311) | sP252) | ~(sP74)) | ~(sP370)),inference(mating_rule,[status(thm)],[])). % 16.60/16.73 thf(205,plain,((~(sP341) | ~(sP125)) | sP356),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(206,plain,(~(sP388) | sP341),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(207,plain,(~(sP377) | sP153),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(208,plain,((~(sP153) | sP47) | sP295),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(209,plain,((~(sP47) | sP356) | sP421),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(210,plain,((~(sP49) | ~(sP413)) | sP177),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(211,plain,(~(sP388) | sP49),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(212,plain,(~(sP392) | sP402),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(213,plain,((~(sP402) | sP327) | sP302),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(214,plain,((~(sP327) | sP177) | sP264),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(215,plain,(~(sP132) | sP276),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(216,plain,((~(sP276) | sP314) | ~(sP13)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(217,plain,((~(sP314) | ~(sP263)) | ~(sP321)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(218,plain,((~(sP42) | ~(sP366)) | sP274),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(219,plain,((~(sP135) | ~(sP417)) | sP247),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(220,plain,(~(sP83) | sP135),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(221,plain,(~(sP377) | sP364),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(222,plain,((~(sP364) | sP231) | sP281),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(223,plain,((~(sP231) | sP247) | sP219),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(224,plain,(~(sP213) | sP90),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(225,plain,((~(sP90) | sP228) | ~(sP329)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(226,plain,((~(sP228) | ~(sP33)) | ~(sP25)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(227,plain,((~(sP398) | ~(sP48)) | sP40),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(228,plain,(~(sP83) | sP398),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(229,plain,(~(sP392) | sP96),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(230,plain,((~(sP96) | sP200) | sP31),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(231,plain,((~(sP200) | sP40) | sP409),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(232,plain,(~(sP286) | sP258),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(233,plain,(~(sP258) | sP212),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(234,plain,((~(sP212) | sP19) | ~(sP252)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(235,plain,((~(sP19) | ~(sP322)) | ~(sP358)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(236,plain,(~(sP427) | sP87),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(237,plain,((~(sP87) | sP30) | ~(sP241)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(238,plain,((~(sP30) | ~(sP316)) | ~(sP358)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(239,plain,(~(sP380) | sP95),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(240,plain,((~(sP95) | sP360) | ~(sP425)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(241,plain,((~(sP360) | ~(sP168)) | ~(sP358)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(242,plain,(~(sP286) | sP427),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(243,plain,(~(sP286) | sP380),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(244,plain,(~(sP286) | sP20),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(245,plain,(~(sP20) | sP167),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(246,plain,((~(sP167) | sP166) | ~(sP272)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(247,plain,((~(sP166) | ~(sP358)) | ~(sP322)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(248,plain,(~(sP298) | sP129),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(249,plain,(~(sP129) | sP159),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(250,plain,((~(sP159) | sP318) | ~(sP396)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(251,plain,((~(sP318) | ~(sP317)) | ~(sP351)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(252,plain,(~(sP81) | sP246),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(253,plain,((~(sP246) | sP140) | ~(sP25)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(254,plain,((~(sP140) | ~(sP324)) | ~(sP411)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(255,plain,(~(sP152) | sP403),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(256,plain,((~(sP403) | sP8) | ~(sP263)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(257,plain,((~(sP8) | ~(sP411)) | ~(sP351)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(258,plain,(~(sP298) | sP81),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(259,plain,(~(sP81) | sP227),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(260,plain,((~(sP227) | sP266) | ~(sP33)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(261,plain,((~(sP266) | ~(sP324)) | ~(sP317)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(262,plain,(~(sP298) | sP152),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(263,plain,(~(sP152) | sP275),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(264,plain,((~(sP275) | sP230) | ~(sP321)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(265,plain,((~(sP230) | ~(sP411)) | ~(sP317)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(266,plain,(~(sP354) | sP323),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(267,plain,(~(sP377) | sP211),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(268,plain,((~(sP211) | sP331) | sP61),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(269,plain,((~(sP331) | sP279) | sP121),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(270,plain,((~(sP278) | ~(sP430)) | sP101),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(271,plain,(~(sP198) | sP330),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(272,plain,((~(sP330) | sP237) | ~(sP272)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(273,plain,((~(sP237) | ~(sP425)) | ~(sP301)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(274,plain,((~(sP172) | sP106) | sP329),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(275,plain,((~(sP405) | sP139) | sP420),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(276,plain,sP370,inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(277,plain,((~(sP7) | ~(sP209)) | sP186),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(278,plain,(~(sP130) | sP7),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(279,plain,((~(sP39) | ~(sP151)) | sP35),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(280,plain,(~(sP130) | sP39),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(281,plain,((~(sP171) | ~(sP289)) | sP74),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(282,plain,(~(sP83) | sP171),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(283,plain,(((~(sP435) | sP396) | ~(sP74)) | ~(sP370)),inference(mating_rule,[status(thm)],[])). % 16.60/16.73 thf(284,plain,(((~(sP123) | sP84) | ~(sP35)) | ~(sP186)),inference(mating_rule,[status(thm)],[])). % 16.60/16.73 thf(285,plain,(~(sP392) | sP41),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(286,plain,((~(sP41) | sP162) | sP156),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(287,plain,((~(sP162) | sP80) | sP105),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(288,plain,((~(sP17) | ~(sP436)) | sP120),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(289,plain,(~(sP363) | sP179),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(290,plain,(~(sP2) | sP92),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(291,plain,(~(sP353) | sP377),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(292,plain,(~(sP56) | sP239),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(293,plain,(~(sP54) | sP338),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(294,plain,(~(sP127) | sP197),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(295,plain,(~(sP157) | sP37),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(296,plain,(~(sP308) | sP113),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(297,plain,(~(sP313) | sP103),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(298,plain,(~(sP27) | sP26),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(299,plain,(~(sP94) | sP347),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(300,plain,(~(sP191) | sP218),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(301,plain,(~(sP363) | sP196),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(302,plain,(~(sP2) | sP91),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(303,plain,(~(sP56) | sP367),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(304,plain,(~(sP54) | sP173),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(305,plain,(~(sP127) | sP235),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(306,plain,(~(sP157) | sP107),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(307,plain,(~(sP308) | sP160),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(308,plain,(~(sP313) | sP143),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(309,plain,(~(sP27) | sP248),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(310,plain,(~(sP94) | sP158),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(311,plain,(~(sP191) | sP399),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(312,plain,(~(sP353) | sP392),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(313,plain,(~(sP392) | sP53),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(314,plain,((~(sP53) | sP273) | sP163),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(315,plain,((~(sP273) | sP52) | sP416),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(316,plain,(~(sP176) | sP424),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(317,plain,((~(sP424) | sP174) | ~(sP301)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(318,plain,((~(sP174) | ~(sP123)) | ~(sP128)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(319,plain,(~(sP354) | sP199),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(320,plain,((~(sP199) | sP359) | sP168),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(321,plain,((~(sP359) | sP426) | sP411),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(322,plain,(~(sP36) | sP150),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(323,plain,((~(sP150) | ~(sP319)) | sP426),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(324,plain,((~(sP245) | ~(sP419)) | ~(sP419)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(325,plain,((~(sP70) | sP245) | ~(sP419)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(326,plain,((~(sP387) | sP181) | ~(sP84)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(327,plain,((~(sP181) | ~(sP84)) | ~(sP84)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(328,plain,(~(sP208) | sP344),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(329,plain,((~(sP344) | ~(sP214)) | sP291),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(330,plain,((~(sP28) | sP405) | sP365),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(331,plain,((~(sP217) | sP172) | sP373),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(332,plain,((~(sP250) | ~(sP274)) | sP289),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(333,plain,(~(sP343) | sP253),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(334,plain,((~(sP253) | sP58) | ~(sP263)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(335,plain,((~(sP58) | ~(sP329)) | ~(sP396)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(336,plain,(~(sP134) | sP190),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(337,plain,((~(sP190) | sP400) | ~(sP263)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(338,plain,((~(sP400) | ~(sP25)) | ~(sP43)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(339,plain,(~(sP149) | sP1),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(340,plain,((~(sP1) | sP122) | ~(sP425)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(341,plain,((~(sP122) | ~(sP373)) | ~(sP252)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(342,plain,(~(sP354) | sP355),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(343,plain,((~(sP355) | sP116) | sP322),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(344,plain,((~(sP116) | sP205) | sP317),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(345,plain,(~(sP36) | sP170),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(346,plain,((~(sP170) | ~(sP356)) | sP205),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(347,plain,(~(sP208) | sP285),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(348,plain,((~(sP285) | ~(sP177)) | sP21),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(349,plain,((~(sP126) | sP371) | sP13),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(350,plain,(~(sP191) | sP198),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(351,plain,(~(sP191) | sP307),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(352,plain,(~(sP307) | sP148),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(353,plain,((~(sP148) | sP277) | ~(sP252)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(354,plain,((~(sP277) | ~(sP301)) | ~(sP425)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(355,plain,(~(sP94) | sP132),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(356,plain,(~(sP333) | sP42),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(357,plain,(~(sP354) | sP261),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(358,plain,((~(sP261) | sP98) | sP358),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(359,plain,((~(sP98) | sP379) | sP351),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(360,plain,(~(sP36) | sP79),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(361,plain,((~(sP79) | ~(sP247)) | sP379),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(362,plain,((~(sP271) | ~(sP101)) | sP209),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(363,plain,(~(sP313) | sP176),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(364,plain,(~(sP313) | sP195),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(365,plain,(~(sP195) | sP63),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(366,plain,((~(sP63) | sP244) | ~(sP252)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(367,plain,((~(sP244) | ~(sP128)) | ~(sP241)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(368,plain,(~(sP308) | sP134),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(369,plain,(~(sP308) | sP213),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(370,plain,(~(sP213) | sP234),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(371,plain,((~(sP234) | sP257) | ~(sP396)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(372,plain,((~(sP257) | ~(sP33)) | ~(sP43)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(373,plain,(~(sP208) | sP361),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(374,plain,((~(sP361) | ~(sP40)) | sP332),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(375,plain,((~(sP108) | ~(sP120)) | sP151),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(376,plain,(~(sP73) | sP78),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(377,plain,((~(sP78) | sP432) | ~(sP25)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(378,plain,((~(sP432) | ~(sP420)) | ~(sP329)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(379,plain,(~(sP363) | sP286),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(380,plain,(~(sP2) | sP298),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(381,plain,(~(sP353) | sP354),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(382,plain,(~(sP72) | sP36),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(383,plain,(~(sP386) | ~(sP279)),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(384,plain,(~(sP431) | sP278),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(385,plain,(~(sP386) | ~(sP80)),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(386,plain,(~(sP431) | sP17),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(387,plain,(~(sP72) | sP208),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(388,plain,(~(sP208) | sP22),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(389,plain,((~(sP22) | ~(sP52)) | sP282),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(390,plain,((~(sP226) | sP126) | sP272),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(391,plain,((~(sP391) | ~(sP106)) | sP144),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(392,plain,(~(sP83) | sP391),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(393,plain,(~(sP27) | sP102),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(394,plain,((~(sP102) | sP32) | sP301),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(395,plain,((~(sP32) | sP144) | sP321),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(396,plain,(~(sP333) | sP326),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(397,plain,((~(sP326) | ~(sP426)) | sP144),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(398,plain,(~(sP62) | sP387),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(399,plain,(~(sP337) | sP70),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(400,plain,((~(sP265) | ~(sP139)) | sP340),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(401,plain,(~(sP83) | sP265),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(402,plain,(~(sP157) | sP69),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(403,plain,((~(sP69) | sP202) | sP128),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(404,plain,((~(sP202) | sP340) | sP33),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(405,plain,(~(sP76) | sP67),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(406,plain,((~(sP67) | ~(sP291)) | sP340),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(407,plain,(~(sP127) | sP149),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(408,plain,(~(sP54) | sP73),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(409,plain,(~(sP54) | sP343),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(410,plain,(~(sP56) | sP28),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(411,plain,(~(sP56) | sP217),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(412,plain,(~(sP34) | sP250),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(413,plain,(~(sP27) | sP325),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(414,plain,((~(sP325) | sP141) | sP425),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(415,plain,((~(sP141) | sP243) | sP263),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(416,plain,(~(sP333) | sP296),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(417,plain,((~(sP296) | ~(sP205)) | sP243),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(418,plain,(~(sP157) | sP303),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(419,plain,((~(sP303) | sP204) | sP241),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(420,plain,((~(sP204) | sP256) | sP43),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(421,plain,(~(sP76) | sP169),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(422,plain,((~(sP169) | ~(sP21)) | sP256),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(423,plain,(~(sP363) | sP191),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(424,plain,(~(sP2) | sP94),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(425,plain,(~(sP353) | sP27),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(426,plain,(~(sP72) | sP333),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(427,plain,(~(sP386) | ~(sP379)),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(428,plain,(~(sP352) | sP271),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(429,plain,(~(sP363) | sP313),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(430,plain,(~(sP2) | sP308),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(431,plain,(~(sP386) | ~(sP332)),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(432,plain,(~(sP352) | sP108),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(433,plain,(~(sP138) | sP388),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(434,plain,(~(sP353) | sP157),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(435,plain,(~(sP157) | sP192),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(436,plain,((~(sP192) | sP305) | sP123),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(437,plain,((~(sP305) | sP50) | sP25),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(438,plain,(~(sP72) | sP76),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(439,plain,(~(sP76) | sP376),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(440,plain,((~(sP376) | ~(sP282)) | sP50),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(441,plain,(~(sP242) | sP226),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(442,plain,((~(sP210) | ~(sP371)) | sP161),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(443,plain,(~(sP336) | sP210),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(444,plain,(~(sP56) | sP51),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(445,plain,((~(sP51) | sP342) | sP252),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(446,plain,((~(sP342) | sP161) | sP396),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(447,plain,(~(sP34) | sP236),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(448,plain,((~(sP236) | ~(sP144)) | sP161),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(449,plain,(~(sP188) | sP62),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(450,plain,(~(sP11) | sP337),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(451,plain,(~(sP431) | sP6),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(452,plain,((~(sP6) | ~(sP340)) | sP260),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(453,plain,(~(sP363) | sP127),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(454,plain,(~(sP2) | sP54),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(455,plain,(~(sP353) | sP56),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(456,plain,(~(sP72) | sP34),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(457,plain,(~(sP386) | ~(sP243)),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(458,plain,(~(sP386) | ~(sP256)),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(459,plain,(~(sP138) | sP83),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(460,plain,(~(sP72) | sP431),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(461,plain,(~(sP431) | sP194),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(462,plain,((~(sP194) | ~(sP50)) | sP185),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(463,plain,(~(sP353) | sP242),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(464,plain,(~(sP386) | ~(sP161)),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(465,plain,(~(sP363) | sP188),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(466,plain,(~(sP2) | sP11),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(467,plain,(~(sP386) | ~(sP260)),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(468,plain,(~(sP138) | sP336),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(469,plain,(~(sP138) | sP130),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(470,plain,sP138,inference(eq_sym,[status(thm)],[])). % 16.60/16.73 thf(471,plain,(~(sP353) | sP350),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(472,plain,(~(sP350) | sP207),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(473,plain,((~(sP207) | sP312) | sP311),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(474,plain,((~(sP312) | sP110) | sP435),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(475,plain,(~(sP72) | sP352),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(476,plain,(~(sP352) | sP410),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(477,plain,((~(sP410) | ~(sP185)) | sP110),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(478,plain,(~(sP386) | ~(sP110)),inference(all_rule,[status(thm)],[])). % 16.60/16.73 thf(479,plain,(sP221 | sP386),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__1])). % 16.60/16.73 thf(480,plain,(sP251 | ~(sP221)),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(481,plain,(sP251 | sP72),inference(prop_rule,[status(thm)],[])). % 16.60/16.73 thf(482,plain,(sP422 | ~(sP251)),inference(eigen_choice_rule,[status(thm),assumptions([h1])],[h1,eigendef_eigen__0])). % 16.60/16.73 thf(inf,axiom,(~((![X1:$i>$i]:((inj @ X1) => (surj @ X1)))))). % 16.60/16.73 thf(483,plain,(~(sP422)),inference(preprocess,[status(thm)],[inf]). % 16.60/16.73 thf(rb_cov,axiom,sP353). % 16.60/16.73 thf(axr,axiom,sP2). % 16.60/16.73 thf(axb,axiom,sP363). % 16.60/16.73 thf(484,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,rb_cov,axr,axb])). % 16.60/16.73 thf(485,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h0]),eigenvar_choice(discharge,[h1])],[484,h1])). % 16.60/16.73 thf(486,plain,$false,inference(eigenvar_choice,[status(thm),eigenvar_choice(discharge,[h0])],[485,h0])). % 16.60/16.73 % SZS output end Proof %------------------------------------------------------------------------------