%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : SYO066^4.003 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % Computer : n006.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 03:24:49 PM UTC 2025 % Result : Theorem 62.09s 62.22s % Output : Proof 62.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYO066^4.003 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.14/0.34 % Computer : n006.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 9 00:41:08 EDT 2025 % 0.14/0.34 % CPUTime : % 62.09/62.22 % SZS status Theorem % 62.09/62.22 % Mode: mode368 % 62.09/62.22 % Inferences: 18716 % 62.09/62.22 % SZS output start Proof % 62.09/62.22 thf(ty_eigen__14, type, eigen__14 : $i). % 62.09/62.22 thf(ty_eigen__6, type, eigen__6 : $i). % 62.09/62.22 thf(ty_eigen__34, type, eigen__34 : $i). % 62.09/62.22 thf(ty_eigen__12, type, eigen__12 : $i). % 62.09/62.22 thf(ty_eigen__2, type, eigen__2 : $i). % 62.09/62.22 thf(ty_eigen__16, type, eigen__16 : $i). % 62.09/62.22 thf(ty_eigen__25, type, eigen__25 : $i). % 62.09/62.22 thf(ty_eigen__7, type, eigen__7 : $i). % 62.09/62.22 thf(ty_eigen__30, type, eigen__30 : $i). % 62.09/62.22 thf(ty_eigen__24, type, eigen__24 : $i). % 62.09/62.22 thf(ty_eigen__35, type, eigen__35 : $i). % 62.09/62.22 thf(ty_o33, type, o33 : ($i>$o)). % 62.09/62.22 thf(ty_eigen__15, type, eigen__15 : $i). % 62.09/62.22 thf(ty_eigen__1, type, eigen__1 : $i). % 62.09/62.22 thf(ty_eigen__32, type, eigen__32 : $i). % 62.09/62.22 thf(ty_o13, type, o13 : ($i>$o)). % 62.09/62.22 thf(ty_eigen__21, type, eigen__21 : $i). % 62.09/62.22 thf(ty_eigen__26, type, eigen__26 : $i). % 62.09/62.22 thf(ty_eigen__4, type, eigen__4 : $i). % 62.09/62.22 thf(ty_eigen__33, type, eigen__33 : $i). % 62.09/62.22 thf(ty_o43, type, o43 : ($i>$o)). % 62.09/62.22 thf(ty_o23, type, o23 : ($i>$o)). % 62.09/62.22 thf(ty_eigen__27, type, eigen__27 : $i). % 62.09/62.22 thf(ty_eigen__5, type, eigen__5 : $i). % 62.09/62.22 thf(ty_o42, type, o42 : ($i>$o)). % 62.09/62.22 thf(ty_eigen__29, type, eigen__29 : $i). % 62.09/62.22 thf(ty_eigen__19, type, eigen__19 : $i). % 62.09/62.22 thf(ty_eigen__11, type, eigen__11 : $i). % 62.09/62.22 thf(ty_eigen__3, type, eigen__3 : $i). % 62.09/62.22 thf(ty_eigen__17, type, eigen__17 : $i). % 62.09/62.22 thf(ty_irel, type, irel : ($i>$i>$o)). % 62.09/62.22 thf(ty_eigen__10, type, eigen__10 : $i). % 62.09/62.22 thf(ty_eigen__8, type, eigen__8 : $i). % 62.09/62.22 thf(ty_eigen__13, type, eigen__13 : $i). % 62.09/62.22 thf(ty_eigen__20, type, eigen__20 : $i). % 62.09/62.22 thf(ty_eigen__9, type, eigen__9 : $i). % 62.09/62.22 thf(ty_o31, type, o31 : ($i>$o)). % 62.09/62.22 thf(ty_eigen__28, type, eigen__28 : $i). % 62.09/62.22 thf(ty_o12, type, o12 : ($i>$o)). % 62.09/62.22 thf(ty_o21, type, o21 : ($i>$o)). % 62.09/62.22 thf(ty_o11, type, o11 : ($i>$o)). % 62.09/62.22 thf(ty_o32, type, o32 : ($i>$o)). % 62.09/62.22 thf(ty_o41, type, o41 : ($i>$o)). % 62.09/62.22 thf(ty_eigen__18, type, eigen__18 : $i). % 62.09/62.22 thf(ty_eigen__22, type, eigen__22 : $i). % 62.09/62.22 thf(ty_eigen__23, type, eigen__23 : $i). % 62.09/62.22 thf(ty_eigen__31, type, eigen__31 : $i). % 62.09/62.22 thf(ty_o22, type, o22 : ($i>$o)). % 62.09/62.22 thf(h0, assumption, (![X1:$i>$o]:(![X2:$i]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])). % 62.09/62.22 thf(eigendef_eigen__11, definition, eigen__11 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__10) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o22 @ X2) => (~((o42 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o32 @ X3) => (~((o42 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o13 @ X4) => (~((o23 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o13 @ X5) => (~((o33 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o13 @ X6) => (~((o43 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o23 @ X7) => (~((o33 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o23 @ X8) => (~((o43 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => (~(((o33 @ X8) => (~((o43 @ X8)))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__11])])). % 62.09/62.22 thf(eigendef_eigen__3, definition, eigen__3 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__2) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o11 @ X2) => (~((o41 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o21 @ X3) => (~((o31 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o21 @ X4) => (~((o41 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o31 @ X5) => (~((o41 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o12 @ X6) => (~((o22 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o12 @ X7) => (~((o32 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o12 @ X8) => (~((o42 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o22 @ X9) => (~((o32 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o22 @ X10) => (~((o42 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o32 @ X11) => (~((o42 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o13 @ X12) => (~((o23 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o13 @ X13) => (~((o33 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o13 @ X14) => (~((o43 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o23 @ X15) => (~((o33 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => ((~((![X16:$i]:(((irel @ X15) @ X16) => (~(((o23 @ X16) => (~((o43 @ X16)))))))))) => (![X16:$i]:(((irel @ X15) @ X16) => (~(((o33 @ X16) => (~((o43 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__3])])). % 62.09/62.22 thf(eigendef_eigen__1, definition, eigen__1 = (eps__0 @ (^[X1:$i]:(~(((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o11 @ X2) => (~((o21 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o11 @ X3) => (~((o31 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o11 @ X4) => (~((o41 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o21 @ X5) => (~((o31 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o21 @ X6) => (~((o41 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o31 @ X7) => (~((o41 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o12 @ X8) => (~((o22 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o12 @ X9) => (~((o32 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o12 @ X10) => (~((o42 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o22 @ X11) => (~((o32 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o22 @ X12) => (~((o42 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o32 @ X13) => (~((o42 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o13 @ X14) => (~((o23 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o13 @ X15) => (~((o33 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => ((~((![X16:$i]:(((irel @ X15) @ X16) => (~(((o13 @ X16) => (~((o43 @ X16)))))))))) => (![X16:$i]:(((irel @ X15) @ X16) => ((~((![X17:$i]:(((irel @ X16) @ X17) => (~(((o23 @ X17) => (~((o33 @ X17)))))))))) => (![X17:$i]:(((irel @ X16) @ X17) => ((~((![X18:$i]:(((irel @ X17) @ X18) => (~(((o23 @ X18) => (~((o43 @ X18)))))))))) => (![X18:$i]:(((irel @ X17) @ X18) => (~(((o33 @ X18) => (~((o43 @ X18))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__1])])). % 62.09/62.22 thf(eigendef_eigen__15, definition, eigen__15 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__14) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o13 @ X2) => (~((o43 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o23 @ X3) => (~((o33 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o23 @ X4) => (~((o43 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => (~(((o33 @ X4) => (~((o43 @ X4)))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__15])])). % 62.09/62.22 thf(eigendef_eigen__17, definition, eigen__17 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__16) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o23 @ X2) => (~((o43 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => (~(((o33 @ X2) => (~((o43 @ X2)))))))))))))), introduced(definition,[new_symbols(definition,[eigen__17])])). % 62.09/62.22 thf(eigendef_eigen__6, definition, eigen__6 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__5) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o31 @ X2) => (~((o41 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o12 @ X3) => (~((o22 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o12 @ X4) => (~((o32 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o12 @ X5) => (~((o42 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o22 @ X6) => (~((o32 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o22 @ X7) => (~((o42 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o32 @ X8) => (~((o42 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o13 @ X9) => (~((o23 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o13 @ X10) => (~((o33 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o13 @ X11) => (~((o43 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o23 @ X12) => (~((o33 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o23 @ X13) => (~((o43 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => (~(((o33 @ X13) => (~((o43 @ X13))))))))))))))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__6])])). % 62.09/62.22 thf(eigendef_eigen__14, definition, eigen__14 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__13) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o13 @ X2) => (~((o33 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o13 @ X3) => (~((o43 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o23 @ X4) => (~((o33 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o23 @ X5) => (~((o43 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => (~(((o33 @ X5) => (~((o43 @ X5))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__14])])). % 62.09/62.22 thf(eigendef_eigen__34, definition, eigen__34 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__2) @ X1) => (~(((o11 @ X1) => (~((o31 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__34])])). % 62.09/62.22 thf(eigendef_eigen__10, definition, eigen__10 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__9) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o22 @ X2) => (~((o32 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o22 @ X3) => (~((o42 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o32 @ X4) => (~((o42 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o13 @ X5) => (~((o23 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o13 @ X6) => (~((o33 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o13 @ X7) => (~((o43 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o23 @ X8) => (~((o33 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o23 @ X9) => (~((o43 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => (~(((o33 @ X9) => (~((o43 @ X9))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__10])])). % 62.09/62.22 thf(eigendef_eigen__12, definition, eigen__12 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__11) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o32 @ X2) => (~((o42 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o13 @ X3) => (~((o23 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o13 @ X4) => (~((o33 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o13 @ X5) => (~((o43 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o23 @ X6) => (~((o33 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o23 @ X7) => (~((o43 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => (~(((o33 @ X7) => (~((o43 @ X7))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__12])])). % 62.09/62.22 thf(eigendef_eigen__32, definition, eigen__32 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__4) @ X1) => (~(((o21 @ X1) => (~((o31 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__32])])). % 62.09/62.22 thf(eigendef_eigen__18, definition, eigen__18 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__17) @ X1) => (~(((o33 @ X1) => (~((o43 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__18])])). % 62.09/62.22 thf(eigendef_eigen__22, definition, eigen__22 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__14) @ X1) => (~(((o13 @ X1) => (~((o33 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__22])])). % 62.09/62.22 thf(eigendef_eigen__8, definition, eigen__8 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__7) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o12 @ X2) => (~((o32 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o12 @ X3) => (~((o42 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o22 @ X4) => (~((o32 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o22 @ X5) => (~((o42 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o32 @ X6) => (~((o42 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o13 @ X7) => (~((o23 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o13 @ X8) => (~((o33 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o13 @ X9) => (~((o43 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o23 @ X10) => (~((o33 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o23 @ X11) => (~((o43 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => (~(((o33 @ X11) => (~((o43 @ X11))))))))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__8])])). % 62.09/62.22 thf(eigendef_eigen__21, definition, eigen__21 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__15) @ X1) => (~(((o13 @ X1) => (~((o43 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__21])])). % 62.09/62.22 thf(eigendef_eigen__2, definition, eigen__2 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__1) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o11 @ X2) => (~((o31 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o11 @ X3) => (~((o41 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o21 @ X4) => (~((o31 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o21 @ X5) => (~((o41 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o31 @ X6) => (~((o41 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o12 @ X7) => (~((o22 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o12 @ X8) => (~((o32 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o12 @ X9) => (~((o42 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o22 @ X10) => (~((o32 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o22 @ X11) => (~((o42 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o32 @ X12) => (~((o42 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o13 @ X13) => (~((o23 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o13 @ X14) => (~((o33 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o13 @ X15) => (~((o43 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => ((~((![X16:$i]:(((irel @ X15) @ X16) => (~(((o23 @ X16) => (~((o33 @ X16)))))))))) => (![X16:$i]:(((irel @ X15) @ X16) => ((~((![X17:$i]:(((irel @ X16) @ X17) => (~(((o23 @ X17) => (~((o43 @ X17)))))))))) => (![X17:$i]:(((irel @ X16) @ X17) => (~(((o33 @ X17) => (~((o43 @ X17))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__2])])). % 62.09/62.22 thf(eigendef_eigen__23, definition, eigen__23 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__13) @ X1) => (~(((o13 @ X1) => (~((o23 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__23])])). % 62.09/62.22 thf(eigendef_eigen__13, definition, eigen__13 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__12) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o13 @ X2) => (~((o23 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o13 @ X3) => (~((o33 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o13 @ X4) => (~((o43 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o23 @ X5) => (~((o33 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o23 @ X6) => (~((o43 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => (~(((o33 @ X6) => (~((o43 @ X6)))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__13])])). % 62.09/62.22 thf(eigendef_eigen__4, definition, eigen__4 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__3) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o21 @ X2) => (~((o31 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o21 @ X3) => (~((o41 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o31 @ X4) => (~((o41 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o12 @ X5) => (~((o22 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o12 @ X6) => (~((o32 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o12 @ X7) => (~((o42 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o22 @ X8) => (~((o32 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o22 @ X9) => (~((o42 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o32 @ X10) => (~((o42 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o13 @ X11) => (~((o23 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o13 @ X12) => (~((o33 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o13 @ X13) => (~((o43 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o23 @ X14) => (~((o33 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o23 @ X15) => (~((o43 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => (~(((o33 @ X15) => (~((o43 @ X15))))))))))))))))))))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__4])])). % 62.09/62.22 thf(eigendef_eigen__16, definition, eigen__16 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__15) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o23 @ X2) => (~((o33 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o23 @ X3) => (~((o43 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => (~(((o33 @ X3) => (~((o43 @ X3))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__16])])). % 62.09/62.22 thf(eigendef_eigen__26, definition, eigen__26 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__10) @ X1) => (~(((o22 @ X1) => (~((o32 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__26])])). % 62.09/62.22 thf(eigendef_eigen__20, definition, eigen__20 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__16) @ X1) => (~(((o23 @ X1) => (~((o33 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__20])])). % 62.09/62.22 thf(eigendef_eigen__31, definition, eigen__31 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__5) @ X1) => (~(((o21 @ X1) => (~((o41 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__31])])). % 62.09/62.22 thf(eigendef_eigen__9, definition, eigen__9 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__8) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o12 @ X2) => (~((o42 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o22 @ X3) => (~((o32 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o22 @ X4) => (~((o42 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o32 @ X5) => (~((o42 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o13 @ X6) => (~((o23 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o13 @ X7) => (~((o33 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o13 @ X8) => (~((o43 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o23 @ X9) => (~((o33 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o23 @ X10) => (~((o43 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => (~(((o33 @ X10) => (~((o43 @ X10)))))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__9])])). % 62.09/62.22 thf(eigendef_eigen__33, definition, eigen__33 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__3) @ X1) => (~(((o11 @ X1) => (~((o41 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__33])])). % 62.09/62.22 thf(eigendef_eigen__25, definition, eigen__25 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__11) @ X1) => (~(((o22 @ X1) => (~((o42 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__25])])). % 62.09/62.22 thf(eigendef_eigen__7, definition, eigen__7 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__6) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o12 @ X2) => (~((o22 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o12 @ X3) => (~((o32 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o12 @ X4) => (~((o42 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o22 @ X5) => (~((o32 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o22 @ X6) => (~((o42 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o32 @ X7) => (~((o42 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o13 @ X8) => (~((o23 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o13 @ X9) => (~((o33 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o13 @ X10) => (~((o43 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o23 @ X11) => (~((o33 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o23 @ X12) => (~((o43 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => (~(((o33 @ X12) => (~((o43 @ X12)))))))))))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__7])])). % 62.09/62.22 thf(eigendef_eigen__28, definition, eigen__28 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__8) @ X1) => (~(((o12 @ X1) => (~((o32 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__28])])). % 62.09/62.22 thf(eigendef_eigen__27, definition, eigen__27 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__9) @ X1) => (~(((o12 @ X1) => (~((o42 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__27])])). % 62.09/62.22 thf(eigendef_eigen__5, definition, eigen__5 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__4) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o21 @ X2) => (~((o41 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o31 @ X3) => (~((o41 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o12 @ X4) => (~((o22 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o12 @ X5) => (~((o32 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o12 @ X6) => (~((o42 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o22 @ X7) => (~((o32 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o22 @ X8) => (~((o42 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o32 @ X9) => (~((o42 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o13 @ X10) => (~((o23 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o13 @ X11) => (~((o33 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o13 @ X12) => (~((o43 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o23 @ X13) => (~((o33 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o23 @ X14) => (~((o43 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => (~(((o33 @ X14) => (~((o43 @ X14)))))))))))))))))))))))))))))))))))))))))))))))))), introduced(definition,[new_symbols(definition,[eigen__5])])). % 62.09/62.22 thf(eigendef_eigen__30, definition, eigen__30 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__6) @ X1) => (~(((o31 @ X1) => (~((o41 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__30])])). % 62.09/62.22 thf(eigendef_eigen__24, definition, eigen__24 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__12) @ X1) => (~(((o32 @ X1) => (~((o42 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__24])])). % 62.09/62.22 thf(eigendef_eigen__29, definition, eigen__29 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__7) @ X1) => (~(((o12 @ X1) => (~((o22 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__29])])). % 62.09/62.22 thf(eigendef_eigen__35, definition, eigen__35 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__1) @ X1) => (~(((o11 @ X1) => (~((o21 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__35])])). % 62.09/62.22 thf(eigendef_eigen__19, definition, eigen__19 = (eps__0 @ (^[X1:$i]:(~((((irel @ eigen__17) @ X1) => (~(((o23 @ X1) => (~((o43 @ X1))))))))))), introduced(definition,[new_symbols(definition,[eigen__19])])). % 62.09/62.22 thf(sP1,plain,sP1 <=> (![X1:$i]:((~((![X2:$i]:(((irel @ X1) @ X2) => (o41 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (o42 @ X3))))) => (![X3:$i]:(((irel @ X2) @ X3) => (o43 @ X3)))))))),introduced(definition,[new_symbols(definition,[sP1])])). % 62.09/62.22 thf(sP2,plain,sP2 <=> ((~((((irel @ eigen__1) @ eigen__5) => (~(((irel @ eigen__5) @ eigen__6)))))) => ((irel @ eigen__1) @ eigen__6)),introduced(definition,[new_symbols(definition,[sP2])])). % 62.09/62.22 thf(sP3,plain,sP3 <=> (![X1:$i]:(((irel @ eigen__15) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o23 @ X2) => (~((o33 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o23 @ X3) => (~((o43 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => (~(((o33 @ X3) => (~((o43 @ X3)))))))))))))),introduced(definition,[new_symbols(definition,[sP3])])). % 62.09/62.22 thf(sP4,plain,sP4 <=> ((~((((irel @ eigen__9) @ eigen__14) => (~(((irel @ eigen__14) @ eigen__22)))))) => ((irel @ eigen__9) @ eigen__22)),introduced(definition,[new_symbols(definition,[sP4])])). % 62.09/62.22 thf(sP5,plain,sP5 <=> (((irel @ eigen__7) @ eigen__22) => (o13 @ eigen__22)),introduced(definition,[new_symbols(definition,[sP5])])). % 62.09/62.22 thf(sP6,plain,sP6 <=> ((irel @ eigen__6) @ eigen__7),introduced(definition,[new_symbols(definition,[sP6])])). % 62.09/62.22 thf(sP7,plain,sP7 <=> ((~((![X1:$i]:(((irel @ eigen__4) @ X1) => (~(((o21 @ X1) => (~((o31 @ X1)))))))))) => (![X1:$i]:(((irel @ eigen__4) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o21 @ X2) => (~((o41 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o31 @ X3) => (~((o41 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o12 @ X4) => (~((o22 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o12 @ X5) => (~((o32 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o12 @ X6) => (~((o42 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o22 @ X7) => (~((o32 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o22 @ X8) => (~((o42 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o32 @ X9) => (~((o42 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o13 @ X10) => (~((o23 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o13 @ X11) => (~((o33 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o13 @ X12) => (~((o43 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o23 @ X13) => (~((o33 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o23 @ X14) => (~((o43 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => (~(((o33 @ X14) => (~((o43 @ X14)))))))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP7])])). % 62.09/62.22 thf(sP8,plain,sP8 <=> (((irel @ eigen__2) @ eigen__34) => (o31 @ eigen__34)),introduced(definition,[new_symbols(definition,[sP8])])). % 62.09/62.22 thf(sP9,plain,sP9 <=> (((irel @ eigen__4) @ eigen__9) => (~(((irel @ eigen__9) @ eigen__10)))),introduced(definition,[new_symbols(definition,[sP9])])). % 62.09/62.22 thf(sP10,plain,sP10 <=> ((~((((irel @ eigen__12) @ eigen__13) => (~(((irel @ eigen__13) @ eigen__14)))))) => ((irel @ eigen__12) @ eigen__14)),introduced(definition,[new_symbols(definition,[sP10])])). % 62.09/62.22 thf(sP11,plain,sP11 <=> ((irel @ eigen__2) @ eigen__8),introduced(definition,[new_symbols(definition,[sP11])])). % 62.09/62.22 thf(sP12,plain,sP12 <=> (![X1:$i]:(((irel @ eigen__5) @ X1) => (~(((o21 @ X1) => (~((o41 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP12])])). % 62.09/62.22 thf(sP13,plain,sP13 <=> ((~((![X1:$i]:(((irel @ eigen__10) @ X1) => (o22 @ X1))))) => (![X1:$i]:(((irel @ eigen__10) @ X1) => (o23 @ X1)))),introduced(definition,[new_symbols(definition,[sP13])])). % 62.09/62.22 thf(sP14,plain,sP14 <=> (![X1:$i]:((~((((irel @ eigen__10) @ eigen__14) => (~(((irel @ eigen__14) @ X1)))))) => ((irel @ eigen__10) @ X1))),introduced(definition,[new_symbols(definition,[sP14])])). % 62.09/62.22 thf(sP15,plain,sP15 <=> (![X1:$i]:(((irel @ eigen__1) @ X1) => (o21 @ X1))),introduced(definition,[new_symbols(definition,[sP15])])). % 62.09/62.22 thf(sP16,plain,sP16 <=> ((irel @ eigen__14) @ eigen__15),introduced(definition,[new_symbols(definition,[sP16])])). % 62.09/62.22 thf(sP17,plain,sP17 <=> (![X1:$i]:(((irel @ eigen__7) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o12 @ X2) => (~((o32 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o12 @ X3) => (~((o42 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o22 @ X4) => (~((o32 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o22 @ X5) => (~((o42 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o32 @ X6) => (~((o42 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o13 @ X7) => (~((o23 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o13 @ X8) => (~((o33 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o13 @ X9) => (~((o43 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o23 @ X10) => (~((o33 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o23 @ X11) => (~((o43 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => (~(((o33 @ X11) => (~((o43 @ X11)))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP17])])). % 62.09/62.22 thf(sP18,plain,sP18 <=> (![X1:$i]:((~((((irel @ eigen__8) @ eigen__10) => (~(((irel @ eigen__10) @ X1)))))) => ((irel @ eigen__8) @ X1))),introduced(definition,[new_symbols(definition,[sP18])])). % 62.09/62.22 thf(sP19,plain,sP19 <=> ((~((((irel @ eigen__3) @ eigen__7) => (~(((irel @ eigen__7) @ eigen__8)))))) => ((irel @ eigen__3) @ eigen__8)),introduced(definition,[new_symbols(definition,[sP19])])). % 62.09/62.22 thf(sP20,plain,sP20 <=> ((~((![X1:$i]:(((irel @ eigen__5) @ X1) => (o41 @ X1))))) => (![X1:$i]:(((irel @ eigen__5) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o42 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o43 @ X2))))))),introduced(definition,[new_symbols(definition,[sP20])])). % 62.09/62.22 thf(sP21,plain,sP21 <=> (![X1:$i]:((~((((irel @ eigen__9) @ eigen__16) => (~(((irel @ eigen__16) @ X1)))))) => ((irel @ eigen__9) @ X1))),introduced(definition,[new_symbols(definition,[sP21])])). % 62.09/62.22 thf(sP22,plain,sP22 <=> ((~((((irel @ eigen__1) @ eigen__4) => (~(((irel @ eigen__4) @ eigen__5)))))) => ((irel @ eigen__1) @ eigen__5)),introduced(definition,[new_symbols(definition,[sP22])])). % 62.09/62.22 thf(sP23,plain,sP23 <=> ((irel @ eigen__7) @ eigen__21),introduced(definition,[new_symbols(definition,[sP23])])). % 62.09/62.22 thf(sP24,plain,sP24 <=> (o22 @ eigen__26),introduced(definition,[new_symbols(definition,[sP24])])). % 62.09/62.22 thf(sP25,plain,sP25 <=> (![X1:$i]:((~((((irel @ eigen__1) @ eigen__4) => (~(((irel @ eigen__4) @ X1)))))) => ((irel @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP25])])). % 62.09/62.22 thf(sP26,plain,sP26 <=> (![X1:$i]:((~((((irel @ eigen__4) @ eigen__8) => (~(((irel @ eigen__8) @ X1)))))) => ((irel @ eigen__4) @ X1))),introduced(definition,[new_symbols(definition,[sP26])])). % 62.09/62.22 thf(sP27,plain,sP27 <=> ((~((((irel @ eigen__3) @ eigen__8) => (~(((irel @ eigen__8) @ eigen__9)))))) => ((irel @ eigen__3) @ eigen__9)),introduced(definition,[new_symbols(definition,[sP27])])). % 62.09/62.22 thf(sP28,plain,sP28 <=> (![X1:$i]:(((irel @ eigen__6) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o12 @ X2) => (~((o22 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o12 @ X3) => (~((o32 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o12 @ X4) => (~((o42 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o22 @ X5) => (~((o32 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o22 @ X6) => (~((o42 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o32 @ X7) => (~((o42 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o13 @ X8) => (~((o23 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o13 @ X9) => (~((o33 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o13 @ X10) => (~((o43 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o23 @ X11) => (~((o33 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o23 @ X12) => (~((o43 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => (~(((o33 @ X12) => (~((o43 @ X12))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP28])])). % 62.09/62.22 thf(sP29,plain,sP29 <=> (((irel @ eigen__2) @ eigen__34) => (~(((o11 @ eigen__34) => (~((o31 @ eigen__34))))))),introduced(definition,[new_symbols(definition,[sP29])])). % 62.09/62.22 thf(sP30,plain,sP30 <=> (((irel @ eigen__9) @ eigen__17) => (~(((irel @ eigen__17) @ eigen__18)))),introduced(definition,[new_symbols(definition,[sP30])])). % 62.09/62.22 thf(sP31,plain,sP31 <=> (![X1:$i]:((~((((irel @ eigen__4) @ eigen__9) => (~(((irel @ eigen__9) @ X1)))))) => ((irel @ eigen__4) @ X1))),introduced(definition,[new_symbols(definition,[sP31])])). % 62.09/62.22 thf(sP32,plain,sP32 <=> (![X1:$i]:((~((((irel @ eigen__12) @ eigen__16) => (~(((irel @ eigen__16) @ X1)))))) => ((irel @ eigen__12) @ X1))),introduced(definition,[new_symbols(definition,[sP32])])). % 62.09/62.22 thf(sP33,plain,sP33 <=> ((~((((irel @ eigen__2) @ eigen__5) => (~(((irel @ eigen__5) @ eigen__6)))))) => ((irel @ eigen__2) @ eigen__6)),introduced(definition,[new_symbols(definition,[sP33])])). % 62.09/62.22 thf(sP34,plain,sP34 <=> ((irel @ eigen__6) @ eigen__30),introduced(definition,[new_symbols(definition,[sP34])])). % 62.09/62.22 thf(sP35,plain,sP35 <=> ((~((![X1:$i]:(((irel @ eigen__4) @ X1) => (o21 @ X1))))) => (![X1:$i]:(((irel @ eigen__4) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o22 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o23 @ X2))))))),introduced(definition,[new_symbols(definition,[sP35])])). % 62.09/62.22 thf(sP36,plain,sP36 <=> (((irel @ eigen__9) @ eigen__13) => (~(((irel @ eigen__13) @ eigen__23)))),introduced(definition,[new_symbols(definition,[sP36])])). % 62.09/62.22 thf(sP37,plain,sP37 <=> (((irel @ eigen__5) @ eigen__6) => ((~((![X1:$i]:(((irel @ eigen__6) @ X1) => (~(((o31 @ X1) => (~((o41 @ X1)))))))))) => sP28)),introduced(definition,[new_symbols(definition,[sP37])])). % 62.09/62.22 thf(sP38,plain,sP38 <=> (![X1:$i]:(((irel @ eigen__4) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o32 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o33 @ X2)))))),introduced(definition,[new_symbols(definition,[sP38])])). % 62.09/62.22 thf(sP39,plain,sP39 <=> ((o33 @ eigen__18) => (~((o43 @ eigen__18)))),introduced(definition,[new_symbols(definition,[sP39])])). % 62.09/62.22 thf(sP40,plain,sP40 <=> (o12 @ eigen__28),introduced(definition,[new_symbols(definition,[sP40])])). % 62.09/62.22 thf(sP41,plain,sP41 <=> (o32 @ eigen__28),introduced(definition,[new_symbols(definition,[sP41])])). % 62.09/62.22 thf(sP42,plain,sP42 <=> (![X1:$i]:(((irel @ eigen__10) @ X1) => (o32 @ X1))),introduced(definition,[new_symbols(definition,[sP42])])). % 62.09/62.22 thf(sP43,plain,sP43 <=> (((irel @ eigen__17) @ eigen__18) => (~(sP39))),introduced(definition,[new_symbols(definition,[sP43])])). % 62.09/62.22 thf(sP44,plain,sP44 <=> ((~((((irel @ eigen__8) @ eigen__13) => (~(((irel @ eigen__13) @ eigen__14)))))) => ((irel @ eigen__8) @ eigen__14)),introduced(definition,[new_symbols(definition,[sP44])])). % 62.09/62.22 thf(sP45,plain,sP45 <=> (![X1:$i]:(((irel @ eigen__16) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o23 @ X2) => (~((o43 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => (~(((o33 @ X2) => (~((o43 @ X2))))))))))),introduced(definition,[new_symbols(definition,[sP45])])). % 62.09/62.22 thf(sP46,plain,sP46 <=> (((irel @ eigen__4) @ eigen__11) => (~(((irel @ eigen__11) @ eigen__12)))),introduced(definition,[new_symbols(definition,[sP46])])). % 62.09/62.22 thf(sP47,plain,sP47 <=> ((~((((irel @ eigen__8) @ eigen__10) => (~(((irel @ eigen__10) @ eigen__11)))))) => ((irel @ eigen__8) @ eigen__11)),introduced(definition,[new_symbols(definition,[sP47])])). % 62.09/62.22 thf(sP48,plain,sP48 <=> ((~((((irel @ eigen__1) @ eigen__10) => (~(((irel @ eigen__10) @ eigen__11)))))) => ((irel @ eigen__1) @ eigen__11)),introduced(definition,[new_symbols(definition,[sP48])])). % 62.09/62.22 thf(sP49,plain,sP49 <=> (((irel @ eigen__7) @ eigen__8) => ((~((![X1:$i]:(((irel @ eigen__8) @ X1) => (~(((o12 @ X1) => (~((o32 @ X1)))))))))) => (![X1:$i]:(((irel @ eigen__8) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o12 @ X2) => (~((o42 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o22 @ X3) => (~((o32 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o22 @ X4) => (~((o42 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o32 @ X5) => (~((o42 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o13 @ X6) => (~((o23 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o13 @ X7) => (~((o33 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o13 @ X8) => (~((o43 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o23 @ X9) => (~((o33 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o23 @ X10) => (~((o43 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => (~(((o33 @ X10) => (~((o43 @ X10))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP49])])). % 62.09/62.22 thf(sP50,plain,sP50 <=> (![X1:$i]:((~((((irel @ eigen__10) @ eigen__15) => (~(((irel @ eigen__15) @ X1)))))) => ((irel @ eigen__10) @ X1))),introduced(definition,[new_symbols(definition,[sP50])])). % 62.09/62.22 thf(sP51,plain,sP51 <=> ((~((((irel @ eigen__7) @ eigen__17) => (~(((irel @ eigen__17) @ eigen__19)))))) => ((irel @ eigen__7) @ eigen__19)),introduced(definition,[new_symbols(definition,[sP51])])). % 62.09/62.22 thf(sP52,plain,sP52 <=> (((irel @ eigen__7) @ eigen__28) => sP40),introduced(definition,[new_symbols(definition,[sP52])])). % 62.09/62.22 thf(sP53,plain,sP53 <=> ((irel @ eigen__7) @ eigen__13),introduced(definition,[new_symbols(definition,[sP53])])). % 62.09/62.22 thf(sP54,plain,sP54 <=> ((~((((irel @ eigen__8) @ eigen__15) => (~(((irel @ eigen__15) @ eigen__16)))))) => ((irel @ eigen__8) @ eigen__16)),introduced(definition,[new_symbols(definition,[sP54])])). % 62.09/62.22 thf(sP55,plain,sP55 <=> (![X1:$i]:(((irel @ eigen__4) @ X1) => (o31 @ X1))),introduced(definition,[new_symbols(definition,[sP55])])). % 62.09/62.22 thf(sP56,plain,sP56 <=> ((~((((irel @ eigen__7) @ eigen__11) => (~(((irel @ eigen__11) @ eigen__12)))))) => ((irel @ eigen__7) @ eigen__12)),introduced(definition,[new_symbols(definition,[sP56])])). % 62.09/62.22 thf(sP57,plain,sP57 <=> (![X1:$i]:((~((((irel @ eigen__5) @ eigen__11) => (~(((irel @ eigen__11) @ X1)))))) => ((irel @ eigen__5) @ X1))),introduced(definition,[new_symbols(definition,[sP57])])). % 62.09/62.22 thf(sP58,plain,sP58 <=> (![X1:$i]:(((irel @ eigen__11) @ X1) => (o43 @ X1))),introduced(definition,[new_symbols(definition,[sP58])])). % 62.09/62.22 thf(sP59,plain,sP59 <=> (![X1:$i]:(((irel @ eigen__12) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o13 @ X2) => (~((o23 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o13 @ X3) => (~((o33 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o13 @ X4) => (~((o43 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o23 @ X5) => (~((o33 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o23 @ X6) => (~((o43 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => (~(((o33 @ X6) => (~((o43 @ X6))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP59])])). % 62.09/62.22 thf(sP60,plain,sP60 <=> (![X1:$i]:(((irel @ eigen__2) @ X1) => (o11 @ X1))),introduced(definition,[new_symbols(definition,[sP60])])). % 62.09/62.22 thf(sP61,plain,sP61 <=> (((irel @ eigen__8) @ eigen__18) => (o33 @ eigen__18)),introduced(definition,[new_symbols(definition,[sP61])])). % 62.09/62.22 thf(sP62,plain,sP62 <=> (((irel @ eigen__11) @ eigen__17) => (~(((irel @ eigen__17) @ eigen__19)))),introduced(definition,[new_symbols(definition,[sP62])])). % 62.09/62.22 thf(sP63,plain,sP63 <=> (o22 @ eigen__29),introduced(definition,[new_symbols(definition,[sP63])])). % 62.09/62.22 thf(sP64,plain,sP64 <=> ((irel @ eigen__7) @ eigen__8),introduced(definition,[new_symbols(definition,[sP64])])). % 62.09/62.22 thf(sP65,plain,sP65 <=> ((irel @ eigen__4) @ eigen__8),introduced(definition,[new_symbols(definition,[sP65])])). % 62.09/62.22 thf(sP66,plain,sP66 <=> ((~((((irel @ eigen__12) @ eigen__15) => (~(((irel @ eigen__15) @ eigen__21)))))) => ((irel @ eigen__12) @ eigen__21)),introduced(definition,[new_symbols(definition,[sP66])])). % 62.09/62.22 thf(sP67,plain,sP67 <=> (((irel @ eigen__7) @ eigen__29) => sP63),introduced(definition,[new_symbols(definition,[sP67])])). % 62.09/62.22 thf(sP68,plain,sP68 <=> ((irel @ eigen__9) @ eigen__10),introduced(definition,[new_symbols(definition,[sP68])])). % 62.09/62.22 thf(sP69,plain,sP69 <=> ((~((![X1:$i]:(((irel @ eigen__12) @ X1) => (o42 @ X1))))) => (![X1:$i]:(((irel @ eigen__12) @ X1) => (o43 @ X1)))),introduced(definition,[new_symbols(definition,[sP69])])). % 62.09/62.22 thf(sP70,plain,sP70 <=> ((~((((irel @ eigen__6) @ eigen__10) => (~(((irel @ eigen__10) @ eigen__11)))))) => ((irel @ eigen__6) @ eigen__11)),introduced(definition,[new_symbols(definition,[sP70])])). % 62.09/62.22 thf(sP71,plain,sP71 <=> (((irel @ eigen__9) @ eigen__27) => (~(((o12 @ eigen__27) => (~((o42 @ eigen__27))))))),introduced(definition,[new_symbols(definition,[sP71])])). % 62.09/62.22 thf(sP72,plain,sP72 <=> ((irel @ eigen__2) @ eigen__34),introduced(definition,[new_symbols(definition,[sP72])])). % 62.09/62.22 thf(sP73,plain,sP73 <=> ((irel @ eigen__2) @ eigen__4),introduced(definition,[new_symbols(definition,[sP73])])). % 62.09/62.22 thf(sP74,plain,sP74 <=> (![X1:$i]:(((irel @ eigen__10) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o22 @ X2) => (~((o42 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o32 @ X3) => (~((o42 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o13 @ X4) => (~((o23 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o13 @ X5) => (~((o33 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o13 @ X6) => (~((o43 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o23 @ X7) => (~((o33 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o23 @ X8) => (~((o43 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => (~(((o33 @ X8) => (~((o43 @ X8))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP74])])). % 62.09/62.22 thf(sP75,plain,sP75 <=> ((~(sP42)) => (![X1:$i]:(((irel @ eigen__10) @ X1) => (o33 @ X1)))),introduced(definition,[new_symbols(definition,[sP75])])). % 62.09/62.22 thf(sP76,plain,sP76 <=> (![X1:$i]:((~((((irel @ eigen__8) @ eigen__14) => (~(((irel @ eigen__14) @ X1)))))) => ((irel @ eigen__8) @ X1))),introduced(definition,[new_symbols(definition,[sP76])])). % 62.09/62.22 thf(sP77,plain,sP77 <=> ((irel @ eigen__7) @ eigen__23),introduced(definition,[new_symbols(definition,[sP77])])). % 62.09/62.22 thf(sP78,plain,sP78 <=> ((~((((irel @ eigen__7) @ eigen__14) => (~(sP16))))) => ((irel @ eigen__7) @ eigen__15)),introduced(definition,[new_symbols(definition,[sP78])])). % 62.09/62.22 thf(sP79,plain,sP79 <=> (((irel @ eigen__1) @ eigen__4) => (~(((irel @ eigen__4) @ eigen__5)))),introduced(definition,[new_symbols(definition,[sP79])])). % 62.09/62.22 thf(sP80,plain,sP80 <=> (((irel @ eigen__10) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__20)))),introduced(definition,[new_symbols(definition,[sP80])])). % 62.09/62.22 thf(sP81,plain,sP81 <=> ((~((((irel @ eigen__3) @ eigen__10) => (~(((irel @ eigen__10) @ eigen__11)))))) => ((irel @ eigen__3) @ eigen__11)),introduced(definition,[new_symbols(definition,[sP81])])). % 62.09/62.22 thf(sP82,plain,sP82 <=> ((irel @ eigen__11) @ eigen__25),introduced(definition,[new_symbols(definition,[sP82])])). % 62.09/62.22 thf(sP83,plain,sP83 <=> (sP65 => ((~((![X1:$i]:(((irel @ eigen__8) @ X1) => (o32 @ X1))))) => (![X1:$i]:(((irel @ eigen__8) @ X1) => (o33 @ X1))))),introduced(definition,[new_symbols(definition,[sP83])])). % 62.09/62.22 thf(sP84,plain,sP84 <=> (((irel @ eigen__7) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__17)))),introduced(definition,[new_symbols(definition,[sP84])])). % 62.09/62.22 thf(sP85,plain,sP85 <=> (![X1:$i]:(((irel @ eigen__12) @ X1) => (o43 @ X1))),introduced(definition,[new_symbols(definition,[sP85])])). % 62.09/62.22 thf(sP86,plain,sP86 <=> ((~((![X1:$i]:(((irel @ eigen__10) @ X1) => (~(((o22 @ X1) => (~((o32 @ X1)))))))))) => sP74),introduced(definition,[new_symbols(definition,[sP86])])). % 62.09/62.22 thf(sP87,plain,sP87 <=> ((o23 @ eigen__19) => (~((o43 @ eigen__19)))),introduced(definition,[new_symbols(definition,[sP87])])). % 62.09/62.22 thf(sP88,plain,sP88 <=> (![X1:$i]:(((irel @ eigen__1) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o22 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o23 @ X2)))))),introduced(definition,[new_symbols(definition,[sP88])])). % 62.09/62.22 thf(sP89,plain,sP89 <=> (((irel @ eigen__1) @ eigen__3) => (~(((irel @ eigen__3) @ eigen__4)))),introduced(definition,[new_symbols(definition,[sP89])])). % 62.09/62.22 thf(sP90,plain,sP90 <=> (![X1:$i]:(((irel @ eigen__9) @ X1) => (~(((o12 @ X1) => (~((o42 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP90])])). % 62.09/62.22 thf(sP91,plain,sP91 <=> (![X1:$i]:((~((((irel @ eigen__12) @ eigen__15) => (~(((irel @ eigen__15) @ X1)))))) => ((irel @ eigen__12) @ X1))),introduced(definition,[new_symbols(definition,[sP91])])). % 62.09/62.22 thf(sP92,plain,sP92 <=> ((irel @ eigen__3) @ eigen__8),introduced(definition,[new_symbols(definition,[sP92])])). % 62.09/62.22 thf(sP93,plain,sP93 <=> (o42 @ eigen__24),introduced(definition,[new_symbols(definition,[sP93])])). % 62.09/62.22 thf(sP94,plain,sP94 <=> (![X1:$i]:(((irel @ eigen__6) @ X1) => (o31 @ X1))),introduced(definition,[new_symbols(definition,[sP94])])). % 62.09/62.22 thf(sP95,plain,sP95 <=> ((irel @ eigen__12) @ eigen__15),introduced(definition,[new_symbols(definition,[sP95])])). % 62.09/62.22 thf(sP96,plain,sP96 <=> (![X1:$i]:(((irel @ eigen__7) @ X1) => (o23 @ X1))),introduced(definition,[new_symbols(definition,[sP96])])). % 62.09/62.22 thf(sP97,plain,sP97 <=> (((irel @ eigen__7) @ eigen__14) => (~(sP16))),introduced(definition,[new_symbols(definition,[sP97])])). % 62.09/62.22 thf(sP98,plain,sP98 <=> (![X1:$i]:(((irel @ eigen__16) @ X1) => (~(((o23 @ X1) => (~((o33 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP98])])). % 62.09/62.22 thf(sP99,plain,sP99 <=> (![X1:$i]:((~((((irel @ eigen__8) @ eigen__13) => (~(((irel @ eigen__13) @ X1)))))) => ((irel @ eigen__8) @ X1))),introduced(definition,[new_symbols(definition,[sP99])])). % 62.09/62.22 thf(sP100,plain,sP100 <=> (![X1:$i]:((~((((irel @ eigen__4) @ eigen__6) => (~(((irel @ eigen__6) @ X1)))))) => ((irel @ eigen__4) @ X1))),introduced(definition,[new_symbols(definition,[sP100])])). % 62.09/62.22 thf(sP101,plain,sP101 <=> (((irel @ eigen__1) @ eigen__5) => (~(((irel @ eigen__5) @ eigen__6)))),introduced(definition,[new_symbols(definition,[sP101])])). % 62.09/62.22 thf(sP102,plain,sP102 <=> (![X1:$i]:(((irel @ eigen__8) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o12 @ X2) => (~((o42 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o22 @ X3) => (~((o32 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o22 @ X4) => (~((o42 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o32 @ X5) => (~((o42 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o13 @ X6) => (~((o23 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o13 @ X7) => (~((o33 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o13 @ X8) => (~((o43 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o23 @ X9) => (~((o33 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o23 @ X10) => (~((o43 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => (~(((o33 @ X10) => (~((o43 @ X10))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP102])])). % 62.09/62.22 thf(sP103,plain,sP103 <=> (((irel @ eigen__8) @ eigen__10) => (~(((irel @ eigen__10) @ eigen__11)))),introduced(definition,[new_symbols(definition,[sP103])])). % 62.09/62.22 thf(sP104,plain,sP104 <=> (((irel @ eigen__10) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__17)))),introduced(definition,[new_symbols(definition,[sP104])])). % 62.09/62.22 thf(sP105,plain,sP105 <=> (![X1:$i]:((~((((irel @ eigen__6) @ eigen__8) => (~(((irel @ eigen__8) @ X1)))))) => ((irel @ eigen__6) @ X1))),introduced(definition,[new_symbols(definition,[sP105])])). % 62.09/62.22 thf(sP106,plain,sP106 <=> (![X1:$i]:((~((((irel @ eigen__5) @ eigen__10) => (~(((irel @ eigen__10) @ X1)))))) => ((irel @ eigen__5) @ X1))),introduced(definition,[new_symbols(definition,[sP106])])). % 62.09/62.22 thf(sP107,plain,sP107 <=> ((irel @ eigen__7) @ eigen__10),introduced(definition,[new_symbols(definition,[sP107])])). % 62.09/62.22 thf(sP108,plain,sP108 <=> (![X1:$i]:(((irel @ eigen__3) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o42 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o43 @ X2)))))),introduced(definition,[new_symbols(definition,[sP108])])). % 62.09/62.22 thf(sP109,plain,sP109 <=> (o11 @ eigen__35),introduced(definition,[new_symbols(definition,[sP109])])). % 62.09/62.22 thf(sP110,plain,sP110 <=> (o43 @ eigen__21),introduced(definition,[new_symbols(definition,[sP110])])). % 62.09/62.22 thf(sP111,plain,sP111 <=> (![X1:$i]:((~((((irel @ eigen__7) @ eigen__15) => (~(((irel @ eigen__15) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP111])])). % 62.09/62.22 thf(sP112,plain,sP112 <=> ((~((![X1:$i]:(((irel @ eigen__8) @ X1) => (o32 @ X1))))) => (![X1:$i]:(((irel @ eigen__8) @ X1) => (o33 @ X1)))),introduced(definition,[new_symbols(definition,[sP112])])). % 62.09/62.22 thf(sP113,plain,sP113 <=> (sP82 => (o42 @ eigen__25)),introduced(definition,[new_symbols(definition,[sP113])])). % 62.09/62.22 thf(sP114,plain,sP114 <=> (![X1:$i]:((~((((irel @ eigen__11) @ eigen__13) => (~(((irel @ eigen__13) @ X1)))))) => ((irel @ eigen__11) @ X1))),introduced(definition,[new_symbols(definition,[sP114])])). % 62.09/62.22 thf(sP115,plain,sP115 <=> ((irel @ eigen__17) @ eigen__18),introduced(definition,[new_symbols(definition,[sP115])])). % 62.09/62.22 thf(sP116,plain,sP116 <=> (![X1:$i]:(((irel @ eigen__6) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o42 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o43 @ X2)))))),introduced(definition,[new_symbols(definition,[sP116])])). % 62.09/62.22 thf(sP117,plain,sP117 <=> ((~((((irel @ eigen__11) @ eigen__13) => (~(((irel @ eigen__13) @ eigen__14)))))) => ((irel @ eigen__11) @ eigen__14)),introduced(definition,[new_symbols(definition,[sP117])])). % 62.09/62.22 thf(sP118,plain,sP118 <=> (sP95 => (~(((irel @ eigen__15) @ eigen__16)))),introduced(definition,[new_symbols(definition,[sP118])])). % 62.09/62.22 thf(sP119,plain,sP119 <=> ((irel @ eigen__9) @ eigen__22),introduced(definition,[new_symbols(definition,[sP119])])). % 62.09/62.22 thf(sP120,plain,sP120 <=> (![X1:$i]:(((irel @ eigen__13) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o13 @ X2) => (~((o33 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o13 @ X3) => (~((o43 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o23 @ X4) => (~((o33 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o23 @ X5) => (~((o43 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => (~(((o33 @ X5) => (~((o43 @ X5)))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP120])])). % 62.09/62.22 thf(sP121,plain,sP121 <=> (o11 @ eigen__33),introduced(definition,[new_symbols(definition,[sP121])])). % 62.09/62.22 thf(sP122,plain,sP122 <=> ((~((![X1:$i]:(((irel @ eigen__1) @ X1) => (o11 @ X1))))) => (![X1:$i]:(((irel @ eigen__1) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o12 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o13 @ X2))))))),introduced(definition,[new_symbols(definition,[sP122])])). % 62.09/62.22 thf(sP123,plain,sP123 <=> (((irel @ eigen__4) @ eigen__5) => (~(((irel @ eigen__5) @ eigen__6)))),introduced(definition,[new_symbols(definition,[sP123])])). % 62.09/62.22 thf(sP124,plain,sP124 <=> (((irel @ eigen__11) @ eigen__15) => (~(((irel @ eigen__15) @ eigen__16)))),introduced(definition,[new_symbols(definition,[sP124])])). % 62.09/62.22 thf(sP125,plain,sP125 <=> ((irel @ eigen__3) @ eigen__9),introduced(definition,[new_symbols(definition,[sP125])])). % 62.09/62.22 thf(sP126,plain,sP126 <=> (((irel @ eigen__11) @ eigen__12) => (~(((irel @ eigen__12) @ eigen__13)))),introduced(definition,[new_symbols(definition,[sP126])])). % 62.09/62.22 thf(sP127,plain,sP127 <=> (![X1:$i]:(((irel @ eigen__3) @ X1) => (o41 @ X1))),introduced(definition,[new_symbols(definition,[sP127])])). % 62.09/62.22 thf(sP128,plain,sP128 <=> ((irel @ eigen__3) @ eigen__11),introduced(definition,[new_symbols(definition,[sP128])])). % 62.09/62.22 thf(sP129,plain,sP129 <=> (sP119 => (o13 @ eigen__22)),introduced(definition,[new_symbols(definition,[sP129])])). % 62.09/62.22 thf(sP130,plain,sP130 <=> ((irel @ eigen__2) @ eigen__3),introduced(definition,[new_symbols(definition,[sP130])])). % 62.09/62.22 thf(sP131,plain,sP131 <=> ((~((sP130 => (~(((irel @ eigen__3) @ eigen__4)))))) => sP73),introduced(definition,[new_symbols(definition,[sP131])])). % 62.09/62.22 thf(sP132,plain,sP132 <=> ((~((((irel @ eigen__5) @ eigen__6) => (~(sP6))))) => ((irel @ eigen__5) @ eigen__7)),introduced(definition,[new_symbols(definition,[sP132])])). % 62.09/62.22 thf(sP133,plain,sP133 <=> ((irel @ eigen__11) @ eigen__19),introduced(definition,[new_symbols(definition,[sP133])])). % 62.09/62.22 thf(sP134,plain,sP134 <=> (((irel @ eigen__9) @ eigen__27) => (o42 @ eigen__27)),introduced(definition,[new_symbols(definition,[sP134])])). % 62.09/62.22 thf(sP135,plain,sP135 <=> (((irel @ eigen__11) @ eigen__13) => (~(((irel @ eigen__13) @ eigen__14)))),introduced(definition,[new_symbols(definition,[sP135])])). % 62.09/62.22 thf(sP136,plain,sP136 <=> ((irel @ eigen__13) @ eigen__14),introduced(definition,[new_symbols(definition,[sP136])])). % 62.09/62.22 thf(sP137,plain,sP137 <=> (![X1:$i]:(((irel @ eigen__7) @ X1) => (~(((o12 @ X1) => (~((o22 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP137])])). % 62.09/62.22 thf(sP138,plain,sP138 <=> (((irel @ eigen__3) @ eigen__33) => (~((sP121 => (~((o41 @ eigen__33))))))),introduced(definition,[new_symbols(definition,[sP138])])). % 62.09/62.22 thf(sP139,plain,sP139 <=> ((irel @ eigen__2) @ eigen__6),introduced(definition,[new_symbols(definition,[sP139])])). % 62.09/62.22 thf(sP140,plain,sP140 <=> ((~((((irel @ eigen__7) @ eigen__9) => (~(sP68))))) => sP107),introduced(definition,[new_symbols(definition,[sP140])])). % 62.09/62.22 thf(sP141,plain,sP141 <=> ((irel @ eigen__7) @ eigen__15),introduced(definition,[new_symbols(definition,[sP141])])). % 62.09/62.22 thf(sP142,plain,sP142 <=> (![X1:$i]:(((irel @ eigen__17) @ X1) => (~(((o33 @ X1) => (~((o43 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP142])])). % 62.09/62.22 thf(sP143,plain,sP143 <=> (((irel @ eigen__11) @ eigen__17) => (~(sP115))),introduced(definition,[new_symbols(definition,[sP143])])). % 62.09/62.22 thf(sP144,plain,sP144 <=> ((irel @ eigen__3) @ eigen__7),introduced(definition,[new_symbols(definition,[sP144])])). % 62.09/62.22 thf(sP145,plain,sP145 <=> (![X1:$i]:((~((((irel @ eigen__12) @ eigen__13) => (~(((irel @ eigen__13) @ X1)))))) => ((irel @ eigen__12) @ X1))),introduced(definition,[new_symbols(definition,[sP145])])). % 62.09/62.22 thf(sP146,plain,sP146 <=> (((irel @ eigen__6) @ eigen__10) => (~(((irel @ eigen__10) @ eigen__11)))),introduced(definition,[new_symbols(definition,[sP146])])). % 62.09/62.22 thf(sP147,plain,sP147 <=> (![X1:$i]:((~((((irel @ eigen__1) @ eigen__6) => (~(((irel @ eigen__6) @ X1)))))) => ((irel @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP147])])). % 62.09/62.22 thf(sP148,plain,sP148 <=> ((~((![X1:$i]:(((irel @ eigen__12) @ X1) => (~(((o32 @ X1) => (~((o42 @ X1)))))))))) => sP59),introduced(definition,[new_symbols(definition,[sP148])])). % 62.09/62.22 thf(sP149,plain,sP149 <=> ((irel @ eigen__1) @ eigen__7),introduced(definition,[new_symbols(definition,[sP149])])). % 62.09/62.22 thf(sP150,plain,sP150 <=> (o43 @ eigen__18),introduced(definition,[new_symbols(definition,[sP150])])). % 62.09/62.22 thf(sP151,plain,sP151 <=> ((~((((irel @ eigen__10) @ eigen__15) => (~(((irel @ eigen__15) @ eigen__16)))))) => ((irel @ eigen__10) @ eigen__16)),introduced(definition,[new_symbols(definition,[sP151])])). % 62.09/62.22 thf(sP152,plain,sP152 <=> ((irel @ eigen__1) @ eigen__4),introduced(definition,[new_symbols(definition,[sP152])])). % 62.09/62.22 thf(sP153,plain,sP153 <=> (((irel @ eigen__4) @ eigen__12) => ((~((![X1:$i]:(((irel @ eigen__12) @ X1) => (o32 @ X1))))) => (![X1:$i]:(((irel @ eigen__12) @ X1) => (o33 @ X1))))),introduced(definition,[new_symbols(definition,[sP153])])). % 62.09/62.22 thf(sP154,plain,sP154 <=> ((o23 @ eigen__20) => (~((o33 @ eigen__20)))),introduced(definition,[new_symbols(definition,[sP154])])). % 62.09/62.22 thf(sP155,plain,sP155 <=> (sP53 => (~(sP136))),introduced(definition,[new_symbols(definition,[sP155])])). % 62.09/62.22 thf(sP156,plain,sP156 <=> (![X1:$i]:(((irel @ eigen__9) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o22 @ X2) => (~((o32 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o22 @ X3) => (~((o42 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o32 @ X4) => (~((o42 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o13 @ X5) => (~((o23 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o13 @ X6) => (~((o33 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o13 @ X7) => (~((o43 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o23 @ X8) => (~((o33 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o23 @ X9) => (~((o43 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => (~(((o33 @ X9) => (~((o43 @ X9)))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP156])])). % 62.09/62.22 thf(sP157,plain,sP157 <=> (((irel @ eigen__1) @ eigen__35) => (~((sP109 => (~((o21 @ eigen__35))))))),introduced(definition,[new_symbols(definition,[sP157])])). % 62.09/62.22 thf(sP158,plain,sP158 <=> (o41 @ eigen__31),introduced(definition,[new_symbols(definition,[sP158])])). % 62.09/62.22 thf(sP159,plain,sP159 <=> (sP109 => (~((o21 @ eigen__35)))),introduced(definition,[new_symbols(definition,[sP159])])). % 62.09/62.22 thf(sP160,plain,sP160 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__2) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__2) @ X2)))),introduced(definition,[new_symbols(definition,[sP160])])). % 62.09/62.22 thf(sP161,plain,sP161 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__5) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__5) @ X2)))),introduced(definition,[new_symbols(definition,[sP161])])). % 62.09/62.22 thf(sP162,plain,sP162 <=> (![X1:$i]:(((irel @ eigen__4) @ X1) => (o21 @ X1))),introduced(definition,[new_symbols(definition,[sP162])])). % 62.09/62.22 thf(sP163,plain,sP163 <=> ((irel @ eigen__10) @ eigen__14),introduced(definition,[new_symbols(definition,[sP163])])). % 62.09/62.22 thf(sP164,plain,sP164 <=> ((~((sP139 => (~(sP6))))) => ((irel @ eigen__2) @ eigen__7)),introduced(definition,[new_symbols(definition,[sP164])])). % 62.09/62.22 thf(sP165,plain,sP165 <=> (o12 @ eigen__29),introduced(definition,[new_symbols(definition,[sP165])])). % 62.09/62.22 thf(sP166,plain,sP166 <=> (![X1:$i]:((~((((irel @ eigen__9) @ eigen__15) => (~(((irel @ eigen__15) @ X1)))))) => ((irel @ eigen__9) @ X1))),introduced(definition,[new_symbols(definition,[sP166])])). % 62.09/62.22 thf(sP167,plain,sP167 <=> (((irel @ eigen__11) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__17)))),introduced(definition,[new_symbols(definition,[sP167])])). % 62.09/62.22 thf(sP168,plain,sP168 <=> (sP64 => (~(((irel @ eigen__8) @ eigen__28)))),introduced(definition,[new_symbols(definition,[sP168])])). % 62.09/62.22 thf(sP169,plain,sP169 <=> (((irel @ eigen__10) @ eigen__11) => ((~((![X1:$i]:(((irel @ eigen__11) @ X1) => (~(((o22 @ X1) => (~((o42 @ X1)))))))))) => (![X1:$i]:(((irel @ eigen__11) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o32 @ X2) => (~((o42 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o13 @ X3) => (~((o23 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o13 @ X4) => (~((o33 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o13 @ X5) => (~((o43 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o23 @ X6) => (~((o33 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o23 @ X7) => (~((o43 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => (~(((o33 @ X7) => (~((o43 @ X7)))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP169])])). % 62.09/62.22 thf(sP170,plain,sP170 <=> (sP6 => (~(sP64))),introduced(definition,[new_symbols(definition,[sP170])])). % 62.09/62.22 thf(sP171,plain,sP171 <=> ((irel @ eigen__12) @ eigen__24),introduced(definition,[new_symbols(definition,[sP171])])). % 62.09/62.22 thf(sP172,plain,sP172 <=> (sP141 => (~(((irel @ eigen__15) @ eigen__21)))),introduced(definition,[new_symbols(definition,[sP172])])). % 62.09/62.22 thf(sP173,plain,sP173 <=> (o42 @ eigen__27),introduced(definition,[new_symbols(definition,[sP173])])). % 62.09/62.22 thf(sP174,plain,sP174 <=> ((~((![X1:$i]:(((irel @ eigen__8) @ X1) => (~(((o12 @ X1) => (~((o32 @ X1)))))))))) => sP102),introduced(definition,[new_symbols(definition,[sP174])])). % 62.09/62.22 thf(sP175,plain,sP175 <=> (((irel @ eigen__5) @ eigen__31) => sP158),introduced(definition,[new_symbols(definition,[sP175])])). % 62.09/62.22 thf(sP176,plain,sP176 <=> (![X1:$i]:(((irel @ eigen__5) @ X1) => (o41 @ X1))),introduced(definition,[new_symbols(definition,[sP176])])). % 62.09/62.23 thf(sP177,plain,sP177 <=> (![X1:$i]:((~((sP107 => (~(((irel @ eigen__10) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP177])])). % 62.09/62.23 thf(sP178,plain,sP178 <=> (![X1:$i]:(((irel @ eigen__3) @ X1) => (~(((o11 @ X1) => (~((o41 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP178])])). % 62.09/62.23 thf(sP179,plain,sP179 <=> ((~((![X1:$i]:(((irel @ eigen__12) @ X1) => (o32 @ X1))))) => (![X1:$i]:(((irel @ eigen__12) @ X1) => (o33 @ X1)))),introduced(definition,[new_symbols(definition,[sP179])])). % 62.09/62.23 thf(sP180,plain,sP180 <=> ((~(sP36)) => ((irel @ eigen__9) @ eigen__23)),introduced(definition,[new_symbols(definition,[sP180])])). % 62.09/62.23 thf(sP181,plain,sP181 <=> (o41 @ eigen__30),introduced(definition,[new_symbols(definition,[sP181])])). % 62.09/62.23 thf(sP182,plain,sP182 <=> (((irel @ eigen__8) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__17)))),introduced(definition,[new_symbols(definition,[sP182])])). % 62.09/62.23 thf(sP183,plain,sP183 <=> ((o13 @ eigen__22) => (~((o33 @ eigen__22)))),introduced(definition,[new_symbols(definition,[sP183])])). % 62.09/62.23 thf(sP184,plain,sP184 <=> ((irel @ eigen__8) @ eigen__11),introduced(definition,[new_symbols(definition,[sP184])])). % 62.09/62.23 thf(sP185,plain,sP185 <=> ((~(sP143)) => ((irel @ eigen__11) @ eigen__18)),introduced(definition,[new_symbols(definition,[sP185])])). % 62.09/62.23 thf(sP186,plain,sP186 <=> (![X1:$i]:(((irel @ eigen__2) @ X1) => (~(((o11 @ X1) => (~((o31 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP186])])). % 62.09/62.23 thf(sP187,plain,sP187 <=> ((irel @ eigen__10) @ eigen__17),introduced(definition,[new_symbols(definition,[sP187])])). % 62.09/62.23 thf(sP188,plain,sP188 <=> ((~(sP118)) => ((irel @ eigen__12) @ eigen__16)),introduced(definition,[new_symbols(definition,[sP188])])). % 62.09/62.23 thf(sP189,plain,sP189 <=> (((irel @ eigen__8) @ eigen__14) => (~(((irel @ eigen__14) @ eigen__22)))),introduced(definition,[new_symbols(definition,[sP189])])). % 62.09/62.23 thf(sP190,plain,sP190 <=> (o13 @ eigen__23),introduced(definition,[new_symbols(definition,[sP190])])). % 62.09/62.23 thf(sP191,plain,sP191 <=> (![X1:$i]:((~((((irel @ eigen__4) @ eigen__10) => (~(((irel @ eigen__10) @ X1)))))) => ((irel @ eigen__4) @ X1))),introduced(definition,[new_symbols(definition,[sP191])])). % 62.09/62.23 thf(sP192,plain,sP192 <=> ((irel @ eigen__15) @ eigen__16),introduced(definition,[new_symbols(definition,[sP192])])). % 62.09/62.23 thf(sP193,plain,sP193 <=> (((irel @ eigen__11) @ eigen__18) => sP150),introduced(definition,[new_symbols(definition,[sP193])])). % 62.09/62.23 thf(sP194,plain,sP194 <=> (sP171 => (o32 @ eigen__24)),introduced(definition,[new_symbols(definition,[sP194])])). % 62.09/62.23 thf(sP195,plain,sP195 <=> (sP11 => sP112),introduced(definition,[new_symbols(definition,[sP195])])). % 62.09/62.23 thf(sP196,plain,sP196 <=> (((irel @ eigen__10) @ eigen__23) => (o23 @ eigen__23)),introduced(definition,[new_symbols(definition,[sP196])])). % 62.09/62.23 thf(sP197,plain,sP197 <=> (o23 @ eigen__19),introduced(definition,[new_symbols(definition,[sP197])])). % 62.09/62.23 thf(sP198,plain,sP198 <=> ((o21 @ eigen__31) => (~(sP158))),introduced(definition,[new_symbols(definition,[sP198])])). % 62.09/62.23 thf(sP199,plain,sP199 <=> ((irel @ eigen__10) @ eigen__12),introduced(definition,[new_symbols(definition,[sP199])])). % 62.09/62.23 thf(sP200,plain,sP200 <=> ((irel @ eigen__4) @ eigen__11),introduced(definition,[new_symbols(definition,[sP200])])). % 62.09/62.23 thf(sP201,plain,sP201 <=> (((irel @ eigen__5) @ eigen__11) => ((~((![X1:$i]:(((irel @ eigen__11) @ X1) => (o42 @ X1))))) => sP58)),introduced(definition,[new_symbols(definition,[sP201])])). % 62.09/62.23 thf(sP202,plain,sP202 <=> ((irel @ eigen__10) @ eigen__13),introduced(definition,[new_symbols(definition,[sP202])])). % 62.09/62.23 thf(sP203,plain,sP203 <=> ((~((((irel @ eigen__7) @ eigen__12) => (~(((irel @ eigen__12) @ eigen__13)))))) => sP53),introduced(definition,[new_symbols(definition,[sP203])])). % 62.09/62.23 thf(sP204,plain,sP204 <=> (((irel @ eigen__17) @ eigen__19) => (~(sP87))),introduced(definition,[new_symbols(definition,[sP204])])). % 62.09/62.23 thf(sP205,plain,sP205 <=> (![X1:$i]:((~((sP187 => (~(((irel @ eigen__17) @ X1)))))) => ((irel @ eigen__10) @ X1))),introduced(definition,[new_symbols(definition,[sP205])])). % 62.09/62.23 thf(sP206,plain,sP206 <=> (![X1:$i]:((~((sP125 => (~(((irel @ eigen__9) @ X1)))))) => ((irel @ eigen__3) @ X1))),introduced(definition,[new_symbols(definition,[sP206])])). % 62.09/62.23 thf(sP207,plain,sP207 <=> ((~((((irel @ eigen__9) @ eigen__13) => (~(sP136))))) => ((irel @ eigen__9) @ eigen__14)),introduced(definition,[new_symbols(definition,[sP207])])). % 62.09/62.23 thf(sP208,plain,sP208 <=> ((irel @ eigen__16) @ eigen__17),introduced(definition,[new_symbols(definition,[sP208])])). % 62.09/62.23 thf(sP209,plain,sP209 <=> ((irel @ eigen__12) @ eigen__14),introduced(definition,[new_symbols(definition,[sP209])])). % 62.09/62.23 thf(sP210,plain,sP210 <=> ((~((sP73 => (~(((irel @ eigen__4) @ eigen__5)))))) => ((irel @ eigen__2) @ eigen__5)),introduced(definition,[new_symbols(definition,[sP210])])). % 62.09/62.23 thf(sP211,plain,sP211 <=> ((irel @ eigen__8) @ eigen__22),introduced(definition,[new_symbols(definition,[sP211])])). % 62.09/62.23 thf(sP212,plain,sP212 <=> (((irel @ eigen__8) @ eigen__20) => (o33 @ eigen__20)),introduced(definition,[new_symbols(definition,[sP212])])). % 62.09/62.23 thf(sP213,plain,sP213 <=> (((irel @ eigen__12) @ eigen__13) => ((~((![X1:$i]:(((irel @ eigen__13) @ X1) => (~(((o13 @ X1) => (~((o23 @ X1)))))))))) => sP120)),introduced(definition,[new_symbols(definition,[sP213])])). % 62.09/62.23 thf(sP214,plain,sP214 <=> ((irel @ eigen__12) @ eigen__20),introduced(definition,[new_symbols(definition,[sP214])])). % 62.09/62.23 thf(sP215,plain,sP215 <=> (((irel @ eigen__1) @ eigen__11) => ((~((![X1:$i]:(((irel @ eigen__11) @ X1) => (o22 @ X1))))) => (![X1:$i]:(((irel @ eigen__11) @ X1) => (o23 @ X1))))),introduced(definition,[new_symbols(definition,[sP215])])). % 62.09/62.23 thf(sP216,plain,sP216 <=> ((irel @ eigen__7) @ eigen__14),introduced(definition,[new_symbols(definition,[sP216])])). % 62.09/62.23 thf(sP217,plain,sP217 <=> (sP187 => (~(((irel @ eigen__17) @ eigen__19)))),introduced(definition,[new_symbols(definition,[sP217])])). % 62.09/62.23 thf(sP218,plain,sP218 <=> ((~((sP163 => (~(sP16))))) => ((irel @ eigen__10) @ eigen__15)),introduced(definition,[new_symbols(definition,[sP218])])). % 62.09/62.23 thf(sP219,plain,sP219 <=> ((irel @ eigen__3) @ eigen__4),introduced(definition,[new_symbols(definition,[sP219])])). % 62.09/62.23 thf(sP220,plain,sP220 <=> ((~(sP62)) => sP133),introduced(definition,[new_symbols(definition,[sP220])])). % 62.09/62.23 thf(sP221,plain,sP221 <=> (![X1:$i]:((~((((irel @ eigen__11) @ eigen__12) => (~(((irel @ eigen__12) @ X1)))))) => ((irel @ eigen__11) @ X1))),introduced(definition,[new_symbols(definition,[sP221])])). % 62.09/62.23 thf(sP222,plain,sP222 <=> (![X1:$i]:((~((sP199 => (~(((irel @ eigen__12) @ X1)))))) => ((irel @ eigen__10) @ X1))),introduced(definition,[new_symbols(definition,[sP222])])). % 62.09/62.23 thf(sP223,plain,sP223 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__4) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__4) @ X2)))),introduced(definition,[new_symbols(definition,[sP223])])). % 62.09/62.23 thf(sP224,plain,sP224 <=> ((~((((irel @ eigen__5) @ eigen__7) => (~(sP64))))) => ((irel @ eigen__5) @ eigen__8)),introduced(definition,[new_symbols(definition,[sP224])])). % 62.09/62.23 thf(sP225,plain,sP225 <=> ((irel @ eigen__8) @ eigen__13),introduced(definition,[new_symbols(definition,[sP225])])). % 62.09/62.23 thf(sP226,plain,sP226 <=> ((~((((irel @ eigen__11) @ eigen__13) => (~(((irel @ eigen__13) @ eigen__23)))))) => ((irel @ eigen__11) @ eigen__23)),introduced(definition,[new_symbols(definition,[sP226])])). % 62.09/62.23 thf(sP227,plain,sP227 <=> ((~((((irel @ eigen__8) @ eigen__9) => (~(sP68))))) => ((irel @ eigen__8) @ eigen__10)),introduced(definition,[new_symbols(definition,[sP227])])). % 62.09/62.23 thf(sP228,plain,sP228 <=> ((~((((irel @ eigen__12) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__20)))))) => sP214),introduced(definition,[new_symbols(definition,[sP228])])). % 62.09/62.23 thf(sP229,plain,sP229 <=> (((irel @ eigen__12) @ eigen__13) => (~(sP136))),introduced(definition,[new_symbols(definition,[sP229])])). % 62.09/62.23 thf(sP230,plain,sP230 <=> ((irel @ eigen__11) @ eigen__23),introduced(definition,[new_symbols(definition,[sP230])])). % 62.09/62.23 thf(sP231,plain,sP231 <=> (sP65 => (~(((irel @ eigen__8) @ eigen__9)))),introduced(definition,[new_symbols(definition,[sP231])])). % 62.09/62.23 thf(sP232,plain,sP232 <=> ((~(sP12)) => (![X1:$i]:(((irel @ eigen__5) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o31 @ X2) => (~((o41 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o12 @ X3) => (~((o22 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o12 @ X4) => (~((o32 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o12 @ X5) => (~((o42 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o22 @ X6) => (~((o32 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o22 @ X7) => (~((o42 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o32 @ X8) => (~((o42 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o13 @ X9) => (~((o23 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o13 @ X10) => (~((o33 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o13 @ X11) => (~((o43 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o23 @ X12) => (~((o33 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o23 @ X13) => (~((o43 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => (~(((o33 @ X13) => (~((o43 @ X13))))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP232])])). % 62.09/62.23 thf(sP233,plain,sP233 <=> ((~((![X1:$i]:(((irel @ eigen__15) @ X1) => (~(((o13 @ X1) => (~((o43 @ X1)))))))))) => sP3),introduced(definition,[new_symbols(definition,[sP233])])). % 62.09/62.23 thf(sP234,plain,sP234 <=> (![X1:$i]:((~((((irel @ eigen__8) @ eigen__16) => (~(((irel @ eigen__16) @ X1)))))) => ((irel @ eigen__8) @ X1))),introduced(definition,[new_symbols(definition,[sP234])])). % 62.09/62.23 thf(sP235,plain,sP235 <=> (((irel @ eigen__3) @ eigen__5) => (~(((irel @ eigen__5) @ eigen__6)))),introduced(definition,[new_symbols(definition,[sP235])])). % 62.09/62.23 thf(sP236,plain,sP236 <=> (sP192 => ((~(sP98)) => sP45)),introduced(definition,[new_symbols(definition,[sP236])])). % 62.09/62.23 thf(sP237,plain,sP237 <=> (((irel @ eigen__6) @ eigen__10) => sP75),introduced(definition,[new_symbols(definition,[sP237])])). % 62.09/62.23 thf(sP238,plain,sP238 <=> (((irel @ eigen__3) @ eigen__10) => (~(((irel @ eigen__10) @ eigen__11)))),introduced(definition,[new_symbols(definition,[sP238])])). % 62.09/62.23 thf(sP239,plain,sP239 <=> ((~((((irel @ eigen__7) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__20)))))) => ((irel @ eigen__7) @ eigen__20)),introduced(definition,[new_symbols(definition,[sP239])])). % 62.09/62.23 thf(sP240,plain,sP240 <=> (((irel @ eigen__4) @ eigen__10) => (~(((irel @ eigen__10) @ eigen__11)))),introduced(definition,[new_symbols(definition,[sP240])])). % 62.09/62.23 thf(sP241,plain,sP241 <=> ((~((![X1:$i]:(((irel @ eigen__3) @ X1) => (o11 @ X1))))) => (![X1:$i]:(((irel @ eigen__3) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o12 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o13 @ X2))))))),introduced(definition,[new_symbols(definition,[sP241])])). % 62.09/62.23 thf(sP242,plain,sP242 <=> (((irel @ eigen__9) @ eigen__18) => sP150),introduced(definition,[new_symbols(definition,[sP242])])). % 62.09/62.23 thf(sP243,plain,sP243 <=> (((irel @ eigen__7) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__20)))),introduced(definition,[new_symbols(definition,[sP243])])). % 62.09/62.23 thf(sP244,plain,sP244 <=> ((irel @ eigen__10) @ eigen__20),introduced(definition,[new_symbols(definition,[sP244])])). % 62.09/62.23 thf(sP245,plain,sP245 <=> ((~(sP155)) => sP216),introduced(definition,[new_symbols(definition,[sP245])])). % 62.09/62.23 thf(sP246,plain,sP246 <=> ((irel @ eigen__9) @ eigen__11),introduced(definition,[new_symbols(definition,[sP246])])). % 62.09/62.23 thf(sP247,plain,sP247 <=> ((~((((irel @ eigen__9) @ eigen__12) => (~(((irel @ eigen__12) @ eigen__13)))))) => ((irel @ eigen__9) @ eigen__13)),introduced(definition,[new_symbols(definition,[sP247])])). % 62.09/62.23 thf(sP248,plain,sP248 <=> (sP199 => (~(((irel @ eigen__12) @ eigen__13)))),introduced(definition,[new_symbols(definition,[sP248])])). % 62.09/62.23 thf(sP249,plain,sP249 <=> ((irel @ eigen__11) @ eigen__17),introduced(definition,[new_symbols(definition,[sP249])])). % 62.09/62.23 thf(sP250,plain,sP250 <=> (((irel @ eigen__7) @ eigen__20) => (o23 @ eigen__20)),introduced(definition,[new_symbols(definition,[sP250])])). % 62.09/62.23 thf(sP251,plain,sP251 <=> (![X1:$i]:(((irel @ eigen__10) @ X1) => (~(((o22 @ X1) => (~((o32 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP251])])). % 62.09/62.23 thf(sP252,plain,sP252 <=> ((~((sP68 => (~(((irel @ eigen__10) @ eigen__11)))))) => sP246),introduced(definition,[new_symbols(definition,[sP252])])). % 62.09/62.23 thf(sP253,plain,sP253 <=> ((~((((irel @ eigen__5) @ eigen__11) => (~(((irel @ eigen__11) @ eigen__12)))))) => ((irel @ eigen__5) @ eigen__12)),introduced(definition,[new_symbols(definition,[sP253])])). % 62.09/62.23 thf(sP254,plain,sP254 <=> ((irel @ eigen__1) @ eigen__5),introduced(definition,[new_symbols(definition,[sP254])])). % 62.09/62.23 thf(sP255,plain,sP255 <=> (((irel @ eigen__1) @ eigen__9) => (~(sP68))),introduced(definition,[new_symbols(definition,[sP255])])). % 62.09/62.23 thf(sP256,plain,sP256 <=> (o32 @ eigen__26),introduced(definition,[new_symbols(definition,[sP256])])). % 62.09/62.23 thf(sP257,plain,sP257 <=> (![X1:$i]:((~((((irel @ eigen__2) @ eigen__5) => (~(((irel @ eigen__5) @ X1)))))) => ((irel @ eigen__2) @ X1))),introduced(definition,[new_symbols(definition,[sP257])])). % 62.09/62.23 thf(sP258,plain,sP258 <=> (sP128 => (~(((irel @ eigen__11) @ eigen__12)))),introduced(definition,[new_symbols(definition,[sP258])])). % 62.09/62.23 thf(sP259,plain,sP259 <=> ((irel @ eigen__7) @ eigen__11),introduced(definition,[new_symbols(definition,[sP259])])). % 62.09/62.23 thf(sP260,plain,sP260 <=> ((~(sP240)) => sP200),introduced(definition,[new_symbols(definition,[sP260])])). % 62.09/62.23 thf(sP261,plain,sP261 <=> (![X1:$i]:((~((((irel @ eigen__6) @ eigen__9) => (~(((irel @ eigen__9) @ X1)))))) => ((irel @ eigen__6) @ X1))),introduced(definition,[new_symbols(definition,[sP261])])). % 62.09/62.23 thf(sP262,plain,sP262 <=> ((~((![X1:$i]:(((irel @ eigen__11) @ X1) => (o22 @ X1))))) => (![X1:$i]:(((irel @ eigen__11) @ X1) => (o23 @ X1)))),introduced(definition,[new_symbols(definition,[sP262])])). % 62.09/62.23 thf(sP263,plain,sP263 <=> (((irel @ eigen__3) @ eigen__33) => (o41 @ eigen__33)),introduced(definition,[new_symbols(definition,[sP263])])). % 62.09/62.23 thf(sP264,plain,sP264 <=> (![X1:$i]:((~((((irel @ eigen__11) @ eigen__15) => (~(((irel @ eigen__15) @ X1)))))) => ((irel @ eigen__11) @ X1))),introduced(definition,[new_symbols(definition,[sP264])])). % 62.09/62.23 thf(sP265,plain,sP265 <=> (((irel @ eigen__10) @ eigen__19) => sP197),introduced(definition,[new_symbols(definition,[sP265])])). % 62.09/62.23 thf(sP266,plain,sP266 <=> ((~(sP186)) => (![X1:$i]:(((irel @ eigen__2) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o11 @ X2) => (~((o41 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o21 @ X3) => (~((o31 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o21 @ X4) => (~((o41 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o31 @ X5) => (~((o41 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o12 @ X6) => (~((o22 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o12 @ X7) => (~((o32 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o12 @ X8) => (~((o42 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o22 @ X9) => (~((o32 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o22 @ X10) => (~((o42 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o32 @ X11) => (~((o42 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o13 @ X12) => (~((o23 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o13 @ X13) => (~((o33 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o13 @ X14) => (~((o43 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o23 @ X15) => (~((o33 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => ((~((![X16:$i]:(((irel @ X15) @ X16) => (~(((o23 @ X16) => (~((o43 @ X16)))))))))) => (![X16:$i]:(((irel @ X15) @ X16) => (~(((o33 @ X16) => (~((o43 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP266])])). % 62.09/62.23 thf(sP267,plain,sP267 <=> (((irel @ eigen__4) @ eigen__5) => sP232),introduced(definition,[new_symbols(definition,[sP267])])). % 62.09/62.23 thf(sP268,plain,sP268 <=> (((irel @ eigen__10) @ eigen__11) => (~(((irel @ eigen__11) @ eigen__12)))),introduced(definition,[new_symbols(definition,[sP268])])). % 62.09/62.23 thf(sP269,plain,sP269 <=> (((irel @ eigen__1) @ eigen__8) => (~(((irel @ eigen__8) @ eigen__9)))),introduced(definition,[new_symbols(definition,[sP269])])). % 62.09/62.23 thf(sP270,plain,sP270 <=> (![X1:$i]:((~((((irel @ eigen__8) @ eigen__15) => (~(((irel @ eigen__15) @ X1)))))) => ((irel @ eigen__8) @ X1))),introduced(definition,[new_symbols(definition,[sP270])])). % 62.09/62.23 thf(sP271,plain,sP271 <=> (![X1:$i]:((~((((irel @ eigen__4) @ eigen__5) => (~(((irel @ eigen__5) @ X1)))))) => ((irel @ eigen__4) @ X1))),introduced(definition,[new_symbols(definition,[sP271])])). % 62.09/62.23 thf(sP272,plain,sP272 <=> ((~(sP55)) => sP38),introduced(definition,[new_symbols(definition,[sP272])])). % 62.09/62.23 thf(sP273,plain,sP273 <=> (![X1:$i]:(((irel @ eigen__3) @ X1) => (o11 @ X1))),introduced(definition,[new_symbols(definition,[sP273])])). % 62.09/62.23 thf(sP274,plain,sP274 <=> ((~((((irel @ eigen__1) @ eigen__6) => (~(sP6))))) => sP149),introduced(definition,[new_symbols(definition,[sP274])])). % 62.09/62.23 thf(sP275,plain,sP275 <=> ((irel @ eigen__5) @ eigen__10),introduced(definition,[new_symbols(definition,[sP275])])). % 62.09/62.23 thf(sP276,plain,sP276 <=> ((irel @ eigen__14) @ eigen__22),introduced(definition,[new_symbols(definition,[sP276])])). % 62.09/62.23 thf(sP277,plain,sP277 <=> (((irel @ eigen__9) @ eigen__14) => (~(sP16))),introduced(definition,[new_symbols(definition,[sP277])])). % 62.09/62.23 thf(sP278,plain,sP278 <=> (![X1:$i]:((~((sP73 => (~(((irel @ eigen__4) @ X1)))))) => ((irel @ eigen__2) @ X1))),introduced(definition,[new_symbols(definition,[sP278])])). % 62.09/62.23 thf(sP279,plain,sP279 <=> (sP107 => (~(((irel @ eigen__10) @ eigen__11)))),introduced(definition,[new_symbols(definition,[sP279])])). % 62.09/62.23 thf(sP280,plain,sP280 <=> ((~((((irel @ eigen__12) @ eigen__16) => (~(sP208))))) => ((irel @ eigen__12) @ eigen__17)),introduced(definition,[new_symbols(definition,[sP280])])). % 62.09/62.23 thf(sP281,plain,sP281 <=> (o13 @ eigen__22),introduced(definition,[new_symbols(definition,[sP281])])). % 62.09/62.23 thf(sP282,plain,sP282 <=> ((irel @ eigen__1) @ eigen__3),introduced(definition,[new_symbols(definition,[sP282])])). % 62.09/62.23 thf(sP283,plain,sP283 <=> ((irel @ eigen__2) @ eigen__10),introduced(definition,[new_symbols(definition,[sP283])])). % 62.09/62.23 thf(sP284,plain,sP284 <=> ((~((((irel @ eigen__5) @ eigen__8) => (~(((irel @ eigen__8) @ eigen__9)))))) => ((irel @ eigen__5) @ eigen__9)),introduced(definition,[new_symbols(definition,[sP284])])). % 62.09/62.23 thf(sP285,plain,sP285 <=> ((~((((irel @ eigen__6) @ eigen__9) => (~(sP68))))) => ((irel @ eigen__6) @ eigen__10)),introduced(definition,[new_symbols(definition,[sP285])])). % 62.09/62.23 thf(sP286,plain,sP286 <=> ((irel @ eigen__4) @ eigen__12),introduced(definition,[new_symbols(definition,[sP286])])). % 62.09/62.23 thf(sP287,plain,sP287 <=> (((irel @ eigen__9) @ eigen__27) => (o12 @ eigen__27)),introduced(definition,[new_symbols(definition,[sP287])])). % 62.09/62.23 thf(sP288,plain,sP288 <=> ((irel @ eigen__3) @ eigen__33),introduced(definition,[new_symbols(definition,[sP288])])). % 62.09/62.23 thf(sP289,plain,sP289 <=> (![X1:$i]:(((irel @ eigen__6) @ X1) => (o41 @ X1))),introduced(definition,[new_symbols(definition,[sP289])])). % 62.09/62.23 thf(sP290,plain,sP290 <=> ((irel @ eigen__8) @ eigen__28),introduced(definition,[new_symbols(definition,[sP290])])). % 62.09/62.23 thf(sP291,plain,sP291 <=> (![X1:$i]:((~((((irel @ eigen__11) @ eigen__14) => (~(((irel @ eigen__14) @ X1)))))) => ((irel @ eigen__11) @ X1))),introduced(definition,[new_symbols(definition,[sP291])])). % 62.09/62.23 thf(sP292,plain,sP292 <=> (((irel @ eigen__7) @ eigen__17) => (~(((irel @ eigen__17) @ eigen__19)))),introduced(definition,[new_symbols(definition,[sP292])])). % 62.09/62.23 thf(sP293,plain,sP293 <=> (o41 @ eigen__33),introduced(definition,[new_symbols(definition,[sP293])])). % 62.09/62.23 thf(sP294,plain,sP294 <=> ((~(sP168)) => ((irel @ eigen__7) @ eigen__28)),introduced(definition,[new_symbols(definition,[sP294])])). % 62.09/62.23 thf(sP295,plain,sP295 <=> (![X1:$i]:(((irel @ eigen__3) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o21 @ X2) => (~((o31 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o21 @ X3) => (~((o41 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o31 @ X4) => (~((o41 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o12 @ X5) => (~((o22 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o12 @ X6) => (~((o32 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o12 @ X7) => (~((o42 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o22 @ X8) => (~((o32 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o22 @ X9) => (~((o42 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o32 @ X10) => (~((o42 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o13 @ X11) => (~((o23 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o13 @ X12) => (~((o33 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o13 @ X13) => (~((o43 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o23 @ X14) => (~((o33 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o23 @ X15) => (~((o43 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => (~(((o33 @ X15) => (~((o43 @ X15)))))))))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP295])])). % 62.09/62.23 thf(sP296,plain,sP296 <=> ((~((sP202 => (~(((irel @ eigen__13) @ eigen__23)))))) => ((irel @ eigen__10) @ eigen__23)),introduced(definition,[new_symbols(definition,[sP296])])). % 62.09/62.23 thf(sP297,plain,sP297 <=> ((irel @ eigen__11) @ eigen__15),introduced(definition,[new_symbols(definition,[sP297])])). % 62.09/62.23 thf(sP298,plain,sP298 <=> (![X1:$i]:((~((((irel @ eigen__6) @ eigen__10) => (~(((irel @ eigen__10) @ X1)))))) => ((irel @ eigen__6) @ X1))),introduced(definition,[new_symbols(definition,[sP298])])). % 62.09/62.23 thf(sP299,plain,sP299 <=> ((irel @ eigen__15) @ eigen__21),introduced(definition,[new_symbols(definition,[sP299])])). % 62.09/62.23 thf(sP300,plain,sP300 <=> (o33 @ eigen__18),introduced(definition,[new_symbols(definition,[sP300])])). % 62.09/62.23 thf(sP301,plain,sP301 <=> (((irel @ eigen__8) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__20)))),introduced(definition,[new_symbols(definition,[sP301])])). % 62.09/62.23 thf(sP302,plain,sP302 <=> (![X1:$i]:((~((((irel @ eigen__2) @ eigen__11) => (~(((irel @ eigen__11) @ X1)))))) => ((irel @ eigen__2) @ X1))),introduced(definition,[new_symbols(definition,[sP302])])). % 62.09/62.23 thf(sP303,plain,sP303 <=> (![X1:$i]:((~((sP144 => (~(((irel @ eigen__7) @ X1)))))) => ((irel @ eigen__3) @ X1))),introduced(definition,[new_symbols(definition,[sP303])])). % 62.09/62.23 thf(sP304,plain,sP304 <=> (((irel @ eigen__4) @ eigen__6) => (~(sP6))),introduced(definition,[new_symbols(definition,[sP304])])). % 62.09/62.23 thf(sP305,plain,sP305 <=> ((o21 @ eigen__32) => (~((o31 @ eigen__32)))),introduced(definition,[new_symbols(definition,[sP305])])). % 62.09/62.23 thf(sP306,plain,sP306 <=> (((irel @ eigen__5) @ eigen__6) => (~(sP6))),introduced(definition,[new_symbols(definition,[sP306])])). % 62.09/62.23 thf(sP307,plain,sP307 <=> (![X1:$i]:(((irel @ eigen__9) @ X1) => (o42 @ X1))),introduced(definition,[new_symbols(definition,[sP307])])). % 62.09/62.23 thf(sP308,plain,sP308 <=> ((irel @ eigen__2) @ eigen__12),introduced(definition,[new_symbols(definition,[sP308])])). % 62.09/62.23 thf(sP309,plain,sP309 <=> ((irel @ eigen__1) @ eigen__9),introduced(definition,[new_symbols(definition,[sP309])])). % 62.09/62.23 thf(sP310,plain,sP310 <=> (![X1:$i]:(((irel @ eigen__5) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o31 @ X2) => (~((o41 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o12 @ X3) => (~((o22 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o12 @ X4) => (~((o32 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o12 @ X5) => (~((o42 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o22 @ X6) => (~((o32 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o22 @ X7) => (~((o42 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o32 @ X8) => (~((o42 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o13 @ X9) => (~((o23 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o13 @ X10) => (~((o33 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o13 @ X11) => (~((o43 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o23 @ X12) => (~((o33 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o23 @ X13) => (~((o43 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => (~(((o33 @ X13) => (~((o43 @ X13)))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP310])])). % 62.09/62.23 thf(sP311,plain,sP311 <=> ((irel @ eigen__2) @ eigen__7),introduced(definition,[new_symbols(definition,[sP311])])). % 62.09/62.23 thf(sP312,plain,sP312 <=> ((~((sP209 => (~(sP276))))) => ((irel @ eigen__12) @ eigen__22)),introduced(definition,[new_symbols(definition,[sP312])])). % 62.09/62.23 thf(sP313,plain,sP313 <=> (![X1:$i]:(((irel @ eigen__10) @ X1) => (o22 @ X1))),introduced(definition,[new_symbols(definition,[sP313])])). % 62.09/62.23 thf(sP314,plain,sP314 <=> (sP275 => sP13),introduced(definition,[new_symbols(definition,[sP314])])). % 62.09/62.23 thf(sP315,plain,sP315 <=> ((o12 @ eigen__27) => (~(sP173))),introduced(definition,[new_symbols(definition,[sP315])])). % 62.09/62.23 thf(sP316,plain,sP316 <=> (sP130 => (~(sP219))),introduced(definition,[new_symbols(definition,[sP316])])). % 62.09/62.23 thf(sP317,plain,sP317 <=> ((irel @ eigen__4) @ eigen__9),introduced(definition,[new_symbols(definition,[sP317])])). % 62.09/62.23 thf(sP318,plain,sP318 <=> (![X1:$i]:(((irel @ eigen__11) @ X1) => (o23 @ X1))),introduced(definition,[new_symbols(definition,[sP318])])). % 62.09/62.23 thf(sP319,plain,sP319 <=> ((o13 @ eigen__21) => (~(sP110))),introduced(definition,[new_symbols(definition,[sP319])])). % 62.09/62.23 thf(sP320,plain,sP320 <=> (![X1:$i]:((~((sP246 => (~(((irel @ eigen__11) @ X1)))))) => ((irel @ eigen__9) @ X1))),introduced(definition,[new_symbols(definition,[sP320])])). % 62.09/62.23 thf(sP321,plain,sP321 <=> (o31 @ eigen__30),introduced(definition,[new_symbols(definition,[sP321])])). % 62.09/62.23 thf(sP322,plain,sP322 <=> (((irel @ eigen__10) @ eigen__26) => sP24),introduced(definition,[new_symbols(definition,[sP322])])). % 62.09/62.23 thf(sP323,plain,sP323 <=> (o33 @ eigen__20),introduced(definition,[new_symbols(definition,[sP323])])). % 62.09/62.23 thf(sP324,plain,sP324 <=> (sP309 => ((~((![X1:$i]:(((irel @ eigen__9) @ X1) => (o12 @ X1))))) => (![X1:$i]:(((irel @ eigen__9) @ X1) => (o13 @ X1))))),introduced(definition,[new_symbols(definition,[sP324])])). % 62.09/62.23 thf(sP325,plain,sP325 <=> ((irel @ eigen__8) @ eigen__12),introduced(definition,[new_symbols(definition,[sP325])])). % 62.09/62.23 thf(sP326,plain,sP326 <=> (sP211 => (o33 @ eigen__22)),introduced(definition,[new_symbols(definition,[sP326])])). % 62.09/62.23 thf(sP327,plain,sP327 <=> ((~(sP248)) => sP202),introduced(definition,[new_symbols(definition,[sP327])])). % 62.09/62.23 thf(sP328,plain,sP328 <=> (o22 @ eigen__25),introduced(definition,[new_symbols(definition,[sP328])])). % 62.09/62.23 thf(sP329,plain,sP329 <=> (![X1:$i]:((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o11 @ X2) => (~((o21 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o11 @ X3) => (~((o31 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o11 @ X4) => (~((o41 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o21 @ X5) => (~((o31 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o21 @ X6) => (~((o41 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o31 @ X7) => (~((o41 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o12 @ X8) => (~((o22 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o12 @ X9) => (~((o32 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o12 @ X10) => (~((o42 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o22 @ X11) => (~((o32 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o22 @ X12) => (~((o42 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o32 @ X13) => (~((o42 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o13 @ X14) => (~((o23 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o13 @ X15) => (~((o33 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => ((~((![X16:$i]:(((irel @ X15) @ X16) => (~(((o13 @ X16) => (~((o43 @ X16)))))))))) => (![X16:$i]:(((irel @ X15) @ X16) => ((~((![X17:$i]:(((irel @ X16) @ X17) => (~(((o23 @ X17) => (~((o33 @ X17)))))))))) => (![X17:$i]:(((irel @ X16) @ X17) => ((~((![X18:$i]:(((irel @ X17) @ X18) => (~(((o23 @ X18) => (~((o43 @ X18)))))))))) => (![X18:$i]:(((irel @ X17) @ X18) => (~(((o33 @ X18) => (~((o43 @ X18)))))))))))))))))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP329])])). % 62.09/62.23 thf(sP330,plain,sP330 <=> (sP225 => (~(sP136))),introduced(definition,[new_symbols(definition,[sP330])])). % 62.09/62.23 thf(sP331,plain,sP331 <=> (![X1:$i]:((~((sP53 => (~(((irel @ eigen__13) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP331])])). % 62.09/62.23 thf(sP332,plain,sP332 <=> (sP92 => (~(((irel @ eigen__8) @ eigen__9)))),introduced(definition,[new_symbols(definition,[sP332])])). % 62.09/62.23 thf(sP333,plain,sP333 <=> ((irel @ eigen__2) @ eigen__11),introduced(definition,[new_symbols(definition,[sP333])])). % 62.09/62.23 thf(sP334,plain,sP334 <=> ((irel @ eigen__3) @ eigen__5),introduced(definition,[new_symbols(definition,[sP334])])). % 62.09/62.23 thf(sP335,plain,sP335 <=> (sP275 => (~(((irel @ eigen__10) @ eigen__11)))),introduced(definition,[new_symbols(definition,[sP335])])). % 62.09/62.23 thf(sP336,plain,sP336 <=> (![X1:$i]:(((irel @ eigen__12) @ X1) => (o33 @ X1))),introduced(definition,[new_symbols(definition,[sP336])])). % 62.09/62.23 thf(sP337,plain,sP337 <=> (![X1:$i]:((~((sP216 => (~(((irel @ eigen__14) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP337])])). % 62.09/62.23 thf(sP338,plain,sP338 <=> (sP144 => ((~((![X1:$i]:(((irel @ eigen__7) @ X1) => (o12 @ X1))))) => (![X1:$i]:(((irel @ eigen__7) @ X1) => (o13 @ X1))))),introduced(definition,[new_symbols(definition,[sP338])])). % 62.09/62.23 thf(sP339,plain,sP339 <=> (((irel @ eigen__1) @ eigen__10) => sP13),introduced(definition,[new_symbols(definition,[sP339])])). % 62.09/62.23 thf(sP340,plain,sP340 <=> (((irel @ eigen__12) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__20)))),introduced(definition,[new_symbols(definition,[sP340])])). % 62.09/62.23 thf(sP341,plain,sP341 <=> ((~(sP60)) => (![X1:$i]:(((irel @ eigen__2) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o12 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o13 @ X2))))))),introduced(definition,[new_symbols(definition,[sP341])])). % 62.09/62.23 thf(sP342,plain,sP342 <=> (![X1:$i]:(((irel @ eigen__2) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o12 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o13 @ X2)))))),introduced(definition,[new_symbols(definition,[sP342])])). % 62.09/62.23 thf(sP343,plain,sP343 <=> ((~((sP216 => (~(sP276))))) => ((irel @ eigen__7) @ eigen__22)),introduced(definition,[new_symbols(definition,[sP343])])). % 62.09/62.23 thf(sP344,plain,sP344 <=> ((irel @ eigen__7) @ eigen__9),introduced(definition,[new_symbols(definition,[sP344])])). % 62.09/62.23 thf(sP345,plain,sP345 <=> ((~(sP304)) => ((irel @ eigen__4) @ eigen__7)),introduced(definition,[new_symbols(definition,[sP345])])). % 62.09/62.23 thf(sP346,plain,sP346 <=> ((o32 @ eigen__24) => (~(sP93))),introduced(definition,[new_symbols(definition,[sP346])])). % 62.09/62.23 thf(sP347,plain,sP347 <=> (sP163 => (~(sP276))),introduced(definition,[new_symbols(definition,[sP347])])). % 62.09/62.23 thf(sP348,plain,sP348 <=> (![X1:$i]:((~((sP334 => (~(((irel @ eigen__5) @ X1)))))) => ((irel @ eigen__3) @ X1))),introduced(definition,[new_symbols(definition,[sP348])])). % 62.09/62.23 thf(sP349,plain,sP349 <=> ((irel @ eigen__9) @ eigen__17),introduced(definition,[new_symbols(definition,[sP349])])). % 62.09/62.23 thf(sP350,plain,sP350 <=> ((irel @ eigen__2) @ eigen__5),introduced(definition,[new_symbols(definition,[sP350])])). % 62.09/62.23 thf(sP351,plain,sP351 <=> (![X1:$i]:(((irel @ eigen__11) @ X1) => (o42 @ X1))),introduced(definition,[new_symbols(definition,[sP351])])). % 62.09/62.23 thf(sP352,plain,sP352 <=> ((irel @ eigen__9) @ eigen__16),introduced(definition,[new_symbols(definition,[sP352])])). % 62.09/62.23 thf(sP353,plain,sP353 <=> ((irel @ eigen__5) @ eigen__31),introduced(definition,[new_symbols(definition,[sP353])])). % 62.09/62.23 thf(sP354,plain,sP354 <=> (sP171 => (~(sP346))),introduced(definition,[new_symbols(definition,[sP354])])). % 62.09/62.23 thf(sP355,plain,sP355 <=> ((irel @ eigen__8) @ eigen__14),introduced(definition,[new_symbols(definition,[sP355])])). % 62.09/62.23 thf(sP356,plain,sP356 <=> (((irel @ eigen__4) @ eigen__32) => (o21 @ eigen__32)),introduced(definition,[new_symbols(definition,[sP356])])). % 62.09/62.23 thf(sP357,plain,sP357 <=> (![X1:$i]:((~((((irel @ eigen__8) @ eigen__9) => (~(((irel @ eigen__9) @ X1)))))) => ((irel @ eigen__8) @ X1))),introduced(definition,[new_symbols(definition,[sP357])])). % 62.09/62.23 thf(sP358,plain,sP358 <=> (((irel @ eigen__9) @ eigen__12) => (~(((irel @ eigen__12) @ eigen__13)))),introduced(definition,[new_symbols(definition,[sP358])])). % 62.09/62.23 thf(sP359,plain,sP359 <=> ((irel @ eigen__1) @ eigen__35),introduced(definition,[new_symbols(definition,[sP359])])). % 62.09/62.23 thf(sP360,plain,sP360 <=> (sP353 => (~(sP198))),introduced(definition,[new_symbols(definition,[sP360])])). % 62.09/62.23 thf(sP361,plain,sP361 <=> (![X1:$i]:((~((sP128 => (~(((irel @ eigen__11) @ X1)))))) => ((irel @ eigen__3) @ X1))),introduced(definition,[new_symbols(definition,[sP361])])). % 62.09/62.23 thf(sP362,plain,sP362 <=> (![X1:$i]:(((irel @ eigen__12) @ X1) => (o32 @ X1))),introduced(definition,[new_symbols(definition,[sP362])])). % 62.09/62.23 thf(sP363,plain,sP363 <=> (sP72 => (o11 @ eigen__34)),introduced(definition,[new_symbols(definition,[sP363])])). % 62.09/62.23 thf(sP364,plain,sP364 <=> ((~(sP277)) => ((irel @ eigen__9) @ eigen__15)),introduced(definition,[new_symbols(definition,[sP364])])). % 62.09/62.23 thf(sP365,plain,sP365 <=> (((irel @ eigen__12) @ eigen__17) => (~(((irel @ eigen__17) @ eigen__19)))),introduced(definition,[new_symbols(definition,[sP365])])). % 62.09/62.23 thf(sP366,plain,sP366 <=> (![X1:$i]:((~((sP68 => (~(((irel @ eigen__10) @ X1)))))) => ((irel @ eigen__9) @ X1))),introduced(definition,[new_symbols(definition,[sP366])])). % 62.09/62.23 thf(sP367,plain,sP367 <=> ((~(sP347)) => ((irel @ eigen__10) @ eigen__22)),introduced(definition,[new_symbols(definition,[sP367])])). % 62.09/62.23 thf(sP368,plain,sP368 <=> (((irel @ eigen__11) @ eigen__14) => (~(sP16))),introduced(definition,[new_symbols(definition,[sP368])])). % 62.09/62.23 thf(sP369,plain,sP369 <=> ((irel @ eigen__13) @ eigen__23),introduced(definition,[new_symbols(definition,[sP369])])). % 62.09/62.23 thf(sP370,plain,sP370 <=> (![X1:$i]:(((irel @ eigen__11) @ X1) => (o22 @ X1))),introduced(definition,[new_symbols(definition,[sP370])])). % 62.09/62.23 thf(sP371,plain,sP371 <=> (![X1:$i]:((~((((irel @ eigen__3) @ eigen__6) => (~(((irel @ eigen__6) @ X1)))))) => ((irel @ eigen__3) @ X1))),introduced(definition,[new_symbols(definition,[sP371])])). % 62.09/62.23 thf(sP372,plain,sP372 <=> (sP141 => (~(sP192))),introduced(definition,[new_symbols(definition,[sP372])])). % 62.09/62.23 thf(sP373,plain,sP373 <=> (![X1:$i]:((~((![X2:$i]:(((irel @ X1) @ X2) => (o21 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (o22 @ X3))))) => (![X3:$i]:(((irel @ X2) @ X3) => (o23 @ X3)))))))),introduced(definition,[new_symbols(definition,[sP373])])). % 62.09/62.23 thf(sP374,plain,sP374 <=> ((~((sP352 => (~(sP208))))) => sP349),introduced(definition,[new_symbols(definition,[sP374])])). % 62.09/62.23 thf(sP375,plain,sP375 <=> (sP259 => (~(((irel @ eigen__11) @ eigen__12)))),introduced(definition,[new_symbols(definition,[sP375])])). % 62.09/62.23 thf(sP376,plain,sP376 <=> (((irel @ eigen__7) @ eigen__19) => sP197),introduced(definition,[new_symbols(definition,[sP376])])). % 62.09/62.23 thf(sP377,plain,sP377 <=> (((irel @ eigen__6) @ eigen__8) => (~(((irel @ eigen__8) @ eigen__9)))),introduced(definition,[new_symbols(definition,[sP377])])). % 62.09/62.23 thf(sP378,plain,sP378 <=> ((irel @ eigen__7) @ eigen__28),introduced(definition,[new_symbols(definition,[sP378])])). % 62.09/62.23 thf(sP379,plain,sP379 <=> (![X1:$i]:(((irel @ eigen__8) @ X1) => (~(((o12 @ X1) => (~((o32 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP379])])). % 62.09/62.23 thf(sP380,plain,sP380 <=> (![X1:$i]:(((irel @ eigen__5) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o42 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o43 @ X2)))))),introduced(definition,[new_symbols(definition,[sP380])])). % 62.09/62.23 thf(sP381,plain,sP381 <=> (sP149 => (~(sP64))),introduced(definition,[new_symbols(definition,[sP381])])). % 62.09/62.23 thf(sP382,plain,sP382 <=> (![X1:$i]:((~((sP149 => (~(((irel @ eigen__7) @ X1)))))) => ((irel @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP382])])). % 62.09/62.23 thf(sP383,plain,sP383 <=> (sP321 => (~(sP181))),introduced(definition,[new_symbols(definition,[sP383])])). % 62.09/62.23 thf(sP384,plain,sP384 <=> ((irel @ eigen__1) @ eigen__2),introduced(definition,[new_symbols(definition,[sP384])])). % 62.09/62.23 thf(sP385,plain,sP385 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__3) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__3) @ X2)))),introduced(definition,[new_symbols(definition,[sP385])])). % 62.09/62.23 thf(sP386,plain,sP386 <=> ((~(sP80)) => sP244),introduced(definition,[new_symbols(definition,[sP386])])). % 62.09/62.23 thf(sP387,plain,sP387 <=> (![X1:$i]:((~((sP209 => (~(((irel @ eigen__14) @ X1)))))) => ((irel @ eigen__12) @ X1))),introduced(definition,[new_symbols(definition,[sP387])])). % 62.09/62.23 thf(sP388,plain,sP388 <=> (![X1:$i]:(((irel @ eigen__7) @ X1) => (o12 @ X1))),introduced(definition,[new_symbols(definition,[sP388])])). % 62.09/62.23 thf(sP389,plain,sP389 <=> (sP34 => sP321),introduced(definition,[new_symbols(definition,[sP389])])). % 62.09/62.23 thf(sP390,plain,sP390 <=> (![X1:$i]:(((irel @ eigen__11) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o32 @ X2) => (~((o42 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o13 @ X3) => (~((o23 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o13 @ X4) => (~((o33 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o13 @ X5) => (~((o43 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o23 @ X6) => (~((o33 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o23 @ X7) => (~((o43 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => (~(((o33 @ X7) => (~((o43 @ X7)))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP390])])). % 62.09/62.23 thf(sP391,plain,sP391 <=> (((irel @ eigen__12) @ eigen__19) => (o43 @ eigen__19)),introduced(definition,[new_symbols(definition,[sP391])])). % 62.09/62.23 thf(sP392,plain,sP392 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__10) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__10) @ X2)))),introduced(definition,[new_symbols(definition,[sP392])])). % 62.09/62.23 thf(sP393,plain,sP393 <=> (![X1:$i]:((~((sP130 => (~(((irel @ eigen__3) @ X1)))))) => ((irel @ eigen__2) @ X1))),introduced(definition,[new_symbols(definition,[sP393])])). % 62.09/62.23 thf(sP394,plain,sP394 <=> (((irel @ eigen__5) @ eigen__9) => (~(sP68))),introduced(definition,[new_symbols(definition,[sP394])])). % 62.09/62.23 thf(sP395,plain,sP395 <=> (sP6 => ((~(sP137)) => sP17)),introduced(definition,[new_symbols(definition,[sP395])])). % 62.09/62.23 thf(sP396,plain,sP396 <=> ((~((sP11 => (~(((irel @ eigen__8) @ eigen__9)))))) => ((irel @ eigen__2) @ eigen__9)),introduced(definition,[new_symbols(definition,[sP396])])). % 62.09/62.23 thf(sP397,plain,sP397 <=> (![X1:$i]:((~((sP283 => (~(((irel @ eigen__10) @ X1)))))) => ((irel @ eigen__2) @ X1))),introduced(definition,[new_symbols(definition,[sP397])])). % 62.09/62.23 thf(sP398,plain,sP398 <=> (![X1:$i]:((~((sP139 => (~(((irel @ eigen__6) @ X1)))))) => ((irel @ eigen__2) @ X1))),introduced(definition,[new_symbols(definition,[sP398])])). % 62.09/62.23 thf(sP399,plain,sP399 <=> (((irel @ eigen__9) @ eigen__23) => sP190),introduced(definition,[new_symbols(definition,[sP399])])). % 62.09/62.23 thf(sP400,plain,sP400 <=> (![X1:$i]:(((irel @ eigen__17) @ X1) => (~(((o23 @ X1) => (~((o43 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP400])])). % 62.09/62.23 thf(sP401,plain,sP401 <=> ((irel @ eigen__6) @ eigen__9),introduced(definition,[new_symbols(definition,[sP401])])). % 62.09/62.23 thf(sP402,plain,sP402 <=> (![X1:$i]:((~((sP64 => (~(((irel @ eigen__8) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP402])])). % 62.09/62.23 thf(sP403,plain,sP403 <=> ((~(sP372)) => ((irel @ eigen__7) @ eigen__16)),introduced(definition,[new_symbols(definition,[sP403])])). % 62.09/62.23 thf(sP404,plain,sP404 <=> (((irel @ eigen__11) @ eigen__13) => (~(sP369))),introduced(definition,[new_symbols(definition,[sP404])])). % 62.09/62.23 thf(sP405,plain,sP405 <=> (((irel @ eigen__10) @ eigen__22) => (o33 @ eigen__22)),introduced(definition,[new_symbols(definition,[sP405])])). % 62.09/62.23 thf(sP406,plain,sP406 <=> (sP77 => sP190),introduced(definition,[new_symbols(definition,[sP406])])). % 62.09/62.23 thf(sP407,plain,sP407 <=> (o13 @ eigen__21),introduced(definition,[new_symbols(definition,[sP407])])). % 62.09/62.23 thf(sP408,plain,sP408 <=> ((~((((irel @ eigen__9) @ eigen__15) => (~(sP192))))) => sP352),introduced(definition,[new_symbols(definition,[sP408])])). % 62.09/62.23 thf(sP409,plain,sP409 <=> (sP325 => (~(((irel @ eigen__12) @ eigen__13)))),introduced(definition,[new_symbols(definition,[sP409])])). % 62.09/62.23 thf(sP410,plain,sP410 <=> ((~(sP104)) => sP187),introduced(definition,[new_symbols(definition,[sP410])])). % 62.09/62.23 thf(sP411,plain,sP411 <=> (![X1:$i]:(((irel @ eigen__1) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o12 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o13 @ X2)))))),introduced(definition,[new_symbols(definition,[sP411])])). % 62.09/62.23 thf(sP412,plain,sP412 <=> (![X1:$i]:((~((((irel @ eigen__5) @ eigen__7) => (~(((irel @ eigen__7) @ X1)))))) => ((irel @ eigen__5) @ X1))),introduced(definition,[new_symbols(definition,[sP412])])). % 62.09/62.23 thf(sP413,plain,sP413 <=> ((~(sP289)) => sP116),introduced(definition,[new_symbols(definition,[sP413])])). % 62.09/62.23 thf(sP414,plain,sP414 <=> (((irel @ eigen__9) @ eigen__14) => (~(sP276))),introduced(definition,[new_symbols(definition,[sP414])])). % 62.09/62.23 thf(sP415,plain,sP415 <=> ((irel @ eigen__12) @ eigen__13),introduced(definition,[new_symbols(definition,[sP415])])). % 62.09/62.23 thf(sP416,plain,sP416 <=> (![X1:$i]:((~((sP384 => (~(((irel @ eigen__2) @ X1)))))) => ((irel @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP416])])). % 62.09/62.23 thf(sP417,plain,sP417 <=> (sP190 => (~((o23 @ eigen__23)))),introduced(definition,[new_symbols(definition,[sP417])])). % 62.09/62.23 thf(sP418,plain,sP418 <=> ((irel @ eigen__8) @ eigen__9),introduced(definition,[new_symbols(definition,[sP418])])). % 62.09/62.23 thf(sP419,plain,sP419 <=> (sP328 => (~((o42 @ eigen__25)))),introduced(definition,[new_symbols(definition,[sP419])])). % 62.09/62.23 thf(sP420,plain,sP420 <=> (![X1:$i]:(((irel @ eigen__1) @ X1) => (o11 @ X1))),introduced(definition,[new_symbols(definition,[sP420])])). % 62.09/62.23 thf(sP421,plain,sP421 <=> ((irel @ eigen__9) @ eigen__23),introduced(definition,[new_symbols(definition,[sP421])])). % 62.09/62.23 thf(sP422,plain,sP422 <=> ((irel @ eigen__10) @ eigen__26),introduced(definition,[new_symbols(definition,[sP422])])). % 62.09/62.23 thf(sP423,plain,sP423 <=> (sP163 => (~(sP16))),introduced(definition,[new_symbols(definition,[sP423])])). % 62.09/62.23 thf(sP424,plain,sP424 <=> ((~(sP231)) => sP317),introduced(definition,[new_symbols(definition,[sP424])])). % 62.09/62.23 thf(sP425,plain,sP425 <=> (((irel @ eigen__3) @ eigen__6) => (~(sP6))),introduced(definition,[new_symbols(definition,[sP425])])). % 62.09/62.23 thf(sP426,plain,sP426 <=> ((~((((irel @ eigen__11) @ eigen__16) => (~(((irel @ eigen__16) @ eigen__20)))))) => ((irel @ eigen__11) @ eigen__20)),introduced(definition,[new_symbols(definition,[sP426])])). % 62.09/62.23 thf(sP427,plain,sP427 <=> (sP202 => (~(sP136))),introduced(definition,[new_symbols(definition,[sP427])])). % 62.09/62.23 thf(sP428,plain,sP428 <=> ((irel @ eigen__10) @ eigen__15),introduced(definition,[new_symbols(definition,[sP428])])). % 62.09/62.23 thf(sP429,plain,sP429 <=> ((~((![X1:$i]:(((irel @ eigen__5) @ X1) => (o21 @ X1))))) => (![X1:$i]:(((irel @ eigen__5) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o22 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o23 @ X2))))))),introduced(definition,[new_symbols(definition,[sP429])])). % 62.09/62.23 thf(sP430,plain,sP430 <=> (![X1:$i]:(((irel @ eigen__2) @ X1) => (o31 @ X1))),introduced(definition,[new_symbols(definition,[sP430])])). % 62.09/62.23 thf(sP431,plain,sP431 <=> ((irel @ eigen__3) @ eigen__12),introduced(definition,[new_symbols(definition,[sP431])])). % 62.09/62.23 thf(sP432,plain,sP432 <=> ((irel @ eigen__1) @ eigen__6),introduced(definition,[new_symbols(definition,[sP432])])). % 62.09/62.23 thf(sP433,plain,sP433 <=> (![X1:$i]:(((irel @ eigen__13) @ X1) => (~(((o13 @ X1) => (~((o23 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP433])])). % 62.09/62.23 thf(sP434,plain,sP434 <=> (sP311 => (~(sP64))),introduced(definition,[new_symbols(definition,[sP434])])). % 62.09/62.23 thf(sP435,plain,sP435 <=> ((~(sP433)) => sP120),introduced(definition,[new_symbols(definition,[sP435])])). % 62.09/62.23 thf(sP436,plain,sP436 <=> (sP209 => (~(sP276))),introduced(definition,[new_symbols(definition,[sP436])])). % 62.09/62.23 thf(sP437,plain,sP437 <=> ((irel @ eigen__9) @ eigen__13),introduced(definition,[new_symbols(definition,[sP437])])). % 62.09/62.23 thf(sP438,plain,sP438 <=> (sP202 => (~(sP369))),introduced(definition,[new_symbols(definition,[sP438])])). % 62.09/62.23 thf(sP439,plain,sP439 <=> (sP125 => (~(sP68))),introduced(definition,[new_symbols(definition,[sP439])])). % 62.09/62.23 thf(sP440,plain,sP440 <=> ((~(sP126)) => ((irel @ eigen__11) @ eigen__13)),introduced(definition,[new_symbols(definition,[sP440])])). % 62.09/62.23 thf(sP441,plain,sP441 <=> (sP350 => (~(((irel @ eigen__5) @ eigen__6)))),introduced(definition,[new_symbols(definition,[sP441])])). % 62.09/62.23 thf(sP442,plain,sP442 <=> (sP64 => (~(sP418))),introduced(definition,[new_symbols(definition,[sP442])])). % 62.09/62.23 thf(sP443,plain,sP443 <=> ((irel @ eigen__7) @ eigen__20),introduced(definition,[new_symbols(definition,[sP443])])). % 62.09/62.23 thf(sP444,plain,sP444 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__6) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__6) @ X2)))),introduced(definition,[new_symbols(definition,[sP444])])). % 62.09/62.23 thf(sP445,plain,sP445 <=> ((irel @ eigen__7) @ eigen__22),introduced(definition,[new_symbols(definition,[sP445])])). % 62.09/62.23 thf(sP446,plain,sP446 <=> ((irel @ eigen__5) @ eigen__6),introduced(definition,[new_symbols(definition,[sP446])])). % 62.09/62.23 thf(sP447,plain,sP447 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__9) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__9) @ X2)))),introduced(definition,[new_symbols(definition,[sP447])])). % 62.09/62.24 thf(sP448,plain,sP448 <=> ((~((sP246 => (~(((irel @ eigen__11) @ eigen__12)))))) => ((irel @ eigen__9) @ eigen__12)),introduced(definition,[new_symbols(definition,[sP448])])). % 62.09/62.24 thf(sP449,plain,sP449 <=> ((irel @ eigen__12) @ eigen__22),introduced(definition,[new_symbols(definition,[sP449])])). % 62.09/62.24 thf(sP450,plain,sP450 <=> (![X1:$i]:((~((((irel @ eigen__9) @ eigen__14) => (~(((irel @ eigen__14) @ X1)))))) => ((irel @ eigen__9) @ X1))),introduced(definition,[new_symbols(definition,[sP450])])). % 62.09/62.24 thf(sP451,plain,sP451 <=> (sP244 => sP323),introduced(definition,[new_symbols(definition,[sP451])])). % 62.09/62.24 thf(sP452,plain,sP452 <=> (sP171 => sP93),introduced(definition,[new_symbols(definition,[sP452])])). % 62.09/62.24 thf(sP453,plain,sP453 <=> (((irel @ eigen__5) @ eigen__12) => sP69),introduced(definition,[new_symbols(definition,[sP453])])). % 62.09/62.24 thf(sP454,plain,sP454 <=> (![X1:$i]:(![X2:$i]:(![X3:$i]:((~((((irel @ X1) @ X2) => (~(((irel @ X2) @ X3)))))) => ((irel @ X1) @ X3))))),introduced(definition,[new_symbols(definition,[sP454])])). % 62.09/62.24 thf(sP455,plain,sP455 <=> (sP401 => ((~(sP307)) => (![X1:$i]:(((irel @ eigen__9) @ X1) => (o43 @ X1))))),introduced(definition,[new_symbols(definition,[sP455])])). % 62.09/62.24 thf(sP456,plain,sP456 <=> (o33 @ eigen__22),introduced(definition,[new_symbols(definition,[sP456])])). % 62.09/62.24 thf(sP457,plain,sP457 <=> (sP246 => (~(((irel @ eigen__11) @ eigen__12)))),introduced(definition,[new_symbols(definition,[sP457])])). % 62.09/62.24 thf(sP458,plain,sP458 <=> (sP128 => ((~(sP351)) => sP58)),introduced(definition,[new_symbols(definition,[sP458])])). % 62.09/62.24 thf(sP459,plain,sP459 <=> (![X1:$i]:((~((((irel @ eigen__1) @ eigen__10) => (~(((irel @ eigen__10) @ X1)))))) => ((irel @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP459])])). % 62.09/62.24 thf(sP460,plain,sP460 <=> (sP290 => sP41),introduced(definition,[new_symbols(definition,[sP460])])). % 62.09/62.24 thf(sP461,plain,sP461 <=> ((irel @ eigen__9) @ eigen__18),introduced(definition,[new_symbols(definition,[sP461])])). % 62.09/62.24 thf(sP462,plain,sP462 <=> ((irel @ eigen__7) @ eigen__16),introduced(definition,[new_symbols(definition,[sP462])])). % 62.09/62.24 thf(sP463,plain,sP463 <=> (((irel @ eigen__4) @ eigen__32) => (o31 @ eigen__32)),introduced(definition,[new_symbols(definition,[sP463])])). % 62.09/62.24 thf(sP464,plain,sP464 <=> ((irel @ eigen__2) @ eigen__9),introduced(definition,[new_symbols(definition,[sP464])])). % 62.09/62.24 thf(sP465,plain,sP465 <=> (![X1:$i]:((~((((irel @ eigen__3) @ eigen__10) => (~(((irel @ eigen__10) @ X1)))))) => ((irel @ eigen__3) @ X1))),introduced(definition,[new_symbols(definition,[sP465])])). % 62.09/62.24 thf(sP466,plain,sP466 <=> ((irel @ eigen__5) @ eigen__8),introduced(definition,[new_symbols(definition,[sP466])])). % 62.09/62.24 thf(sP467,plain,sP467 <=> (((irel @ eigen__11) @ eigen__12) => sP148),introduced(definition,[new_symbols(definition,[sP467])])). % 62.09/62.24 thf(sP468,plain,sP468 <=> ((~((((irel @ eigen__8) @ eigen__17) => (~(sP115))))) => ((irel @ eigen__8) @ eigen__18)),introduced(definition,[new_symbols(definition,[sP468])])). % 62.09/62.24 thf(sP469,plain,sP469 <=> (![X1:$i]:((~((sP92 => (~(((irel @ eigen__8) @ X1)))))) => ((irel @ eigen__3) @ X1))),introduced(definition,[new_symbols(definition,[sP469])])). % 62.09/62.24 thf(sP470,plain,sP470 <=> (![X1:$i]:(((irel @ eigen__6) @ X1) => (~(((o31 @ X1) => (~((o41 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP470])])). % 62.09/62.24 thf(sP471,plain,sP471 <=> (((irel @ eigen__8) @ eigen__15) => (~(sP192))),introduced(definition,[new_symbols(definition,[sP471])])). % 62.09/62.24 thf(sP472,plain,sP472 <=> (((irel @ eigen__5) @ eigen__7) => (~(sP64))),introduced(definition,[new_symbols(definition,[sP472])])). % 62.09/62.24 thf(sP473,plain,sP473 <=> ((~(sP335)) => ((irel @ eigen__5) @ eigen__11)),introduced(definition,[new_symbols(definition,[sP473])])). % 62.09/62.24 thf(sP474,plain,sP474 <=> (![X1:$i]:(((irel @ eigen__10) @ X1) => (o23 @ X1))),introduced(definition,[new_symbols(definition,[sP474])])). % 62.09/62.24 thf(sP475,plain,sP475 <=> (sP352 => (~(sP208))),introduced(definition,[new_symbols(definition,[sP475])])). % 62.09/62.24 thf(sP476,plain,sP476 <=> ((~(sP172)) => sP23),introduced(definition,[new_symbols(definition,[sP476])])). % 62.09/62.24 thf(sP477,plain,sP477 <=> (sP431 => sP69),introduced(definition,[new_symbols(definition,[sP477])])). % 62.09/62.24 thf(sP478,plain,sP478 <=> ((irel @ eigen__12) @ eigen__19),introduced(definition,[new_symbols(definition,[sP478])])). % 62.09/62.24 thf(sP479,plain,sP479 <=> (o11 @ eigen__34),introduced(definition,[new_symbols(definition,[sP479])])). % 62.09/62.24 thf(sP480,plain,sP480 <=> (sP139 => (~(sP6))),introduced(definition,[new_symbols(definition,[sP480])])). % 62.09/62.24 thf(sP481,plain,sP481 <=> ((~(sP182)) => ((irel @ eigen__8) @ eigen__17)),introduced(definition,[new_symbols(definition,[sP481])])). % 62.09/62.24 thf(sP482,plain,sP482 <=> ((~(sP9)) => ((irel @ eigen__4) @ eigen__10)),introduced(definition,[new_symbols(definition,[sP482])])). % 62.09/62.24 thf(sP483,plain,sP483 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__12) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__12) @ X2)))),introduced(definition,[new_symbols(definition,[sP483])])). % 62.09/62.24 thf(sP484,plain,sP484 <=> ((irel @ eigen__6) @ eigen__11),introduced(definition,[new_symbols(definition,[sP484])])). % 62.09/62.24 thf(sP485,plain,sP485 <=> (sP384 => (~(sP130))),introduced(definition,[new_symbols(definition,[sP485])])). % 62.09/62.24 thf(sP486,plain,sP486 <=> (![X1:$i]:((~((sP325 => (~(((irel @ eigen__12) @ X1)))))) => ((irel @ eigen__8) @ X1))),introduced(definition,[new_symbols(definition,[sP486])])). % 62.09/62.24 thf(sP487,plain,sP487 <=> (((irel @ eigen__7) @ eigen__29) => sP165),introduced(definition,[new_symbols(definition,[sP487])])). % 62.09/62.24 thf(sP488,plain,sP488 <=> ((~(sP123)) => ((irel @ eigen__4) @ eigen__6)),introduced(definition,[new_symbols(definition,[sP488])])). % 62.09/62.24 thf(sP489,plain,sP489 <=> (sP308 => sP179),introduced(definition,[new_symbols(definition,[sP489])])). % 62.09/62.24 thf(sP490,plain,sP490 <=> ((irel @ eigen__10) @ eigen__18),introduced(definition,[new_symbols(definition,[sP490])])). % 62.09/62.24 thf(sP491,plain,sP491 <=> ((~((sP297 => (~(sP299))))) => ((irel @ eigen__11) @ eigen__21)),introduced(definition,[new_symbols(definition,[sP491])])). % 62.09/62.24 thf(sP492,plain,sP492 <=> ((irel @ eigen__12) @ eigen__17),introduced(definition,[new_symbols(definition,[sP492])])). % 62.09/62.24 thf(sP493,plain,sP493 <=> ((irel @ eigen__11) @ eigen__20),introduced(definition,[new_symbols(definition,[sP493])])). % 62.09/62.24 thf(sP494,plain,sP494 <=> ((~(sP351)) => sP58),introduced(definition,[new_symbols(definition,[sP494])])). % 62.09/62.24 thf(sP495,plain,sP495 <=> ((~((![X1:$i]:(((irel @ eigen__9) @ X1) => (o12 @ X1))))) => (![X1:$i]:(((irel @ eigen__9) @ X1) => (o13 @ X1)))),introduced(definition,[new_symbols(definition,[sP495])])). % 62.09/62.24 thf(sP496,plain,sP496 <=> (sP437 => (~(sP136))),introduced(definition,[new_symbols(definition,[sP496])])). % 62.09/62.24 thf(sP497,plain,sP497 <=> (sP68 => sP86),introduced(definition,[new_symbols(definition,[sP497])])). % 62.09/62.24 thf(sP498,plain,sP498 <=> (![X1:$i]:(((irel @ eigen__4) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o22 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o23 @ X2)))))),introduced(definition,[new_symbols(definition,[sP498])])). % 62.09/62.24 thf(sP499,plain,sP499 <=> (![X1:$i]:(((irel @ eigen__5) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o22 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o23 @ X2)))))),introduced(definition,[new_symbols(definition,[sP499])])). % 62.09/62.24 thf(sP500,plain,sP500 <=> (![X1:$i]:((~((sP202 => (~(((irel @ eigen__13) @ X1)))))) => ((irel @ eigen__10) @ X1))),introduced(definition,[new_symbols(definition,[sP500])])). % 62.09/62.24 thf(sP501,plain,sP501 <=> (sP187 => (~(sP115))),introduced(definition,[new_symbols(definition,[sP501])])). % 62.09/62.24 thf(sP502,plain,sP502 <=> (![X1:$i]:((~((sP11 => (~(((irel @ eigen__8) @ X1)))))) => ((irel @ eigen__2) @ X1))),introduced(definition,[new_symbols(definition,[sP502])])). % 62.09/62.24 thf(sP503,plain,sP503 <=> (![X1:$i]:((~((sP184 => (~(((irel @ eigen__11) @ X1)))))) => ((irel @ eigen__8) @ X1))),introduced(definition,[new_symbols(definition,[sP503])])). % 62.09/62.24 thf(sP504,plain,sP504 <=> ((~(sP15)) => sP88),introduced(definition,[new_symbols(definition,[sP504])])). % 62.09/62.24 thf(sP505,plain,sP505 <=> (sP276 => (~(sP183))),introduced(definition,[new_symbols(definition,[sP505])])). % 62.09/62.24 thf(sP506,plain,sP506 <=> (sP53 => (~(sP369))),introduced(definition,[new_symbols(definition,[sP506])])). % 62.09/62.24 thf(sP507,plain,sP507 <=> ((~(sP400)) => sP142),introduced(definition,[new_symbols(definition,[sP507])])). % 62.09/62.24 thf(sP508,plain,sP508 <=> (sP311 => ((~(sP388)) => (![X1:$i]:(((irel @ eigen__7) @ X1) => (o13 @ X1))))),introduced(definition,[new_symbols(definition,[sP508])])). % 62.09/62.24 thf(sP509,plain,sP509 <=> (![X1:$i]:((~((((irel @ eigen__11) @ eigen__16) => (~(((irel @ eigen__16) @ X1)))))) => ((irel @ eigen__11) @ X1))),introduced(definition,[new_symbols(definition,[sP509])])). % 62.09/62.24 thf(sP510,plain,sP510 <=> (sP209 => (~(sP16))),introduced(definition,[new_symbols(definition,[sP510])])). % 62.09/62.24 thf(sP511,plain,sP511 <=> ((irel @ eigen__12) @ eigen__21),introduced(definition,[new_symbols(definition,[sP511])])). % 62.09/62.24 thf(sP512,plain,sP512 <=> ((irel @ eigen__16) @ eigen__20),introduced(definition,[new_symbols(definition,[sP512])])). % 62.09/62.24 thf(sP513,plain,sP513 <=> ((irel @ eigen__7) @ eigen__19),introduced(definition,[new_symbols(definition,[sP513])])). % 62.09/62.24 thf(sP514,plain,sP514 <=> ((~(sP178)) => sP295),introduced(definition,[new_symbols(definition,[sP514])])). % 62.09/62.24 thf(sP515,plain,sP515 <=> ((~((sP283 => (~(((irel @ eigen__10) @ eigen__11)))))) => sP333),introduced(definition,[new_symbols(definition,[sP515])])). % 62.09/62.24 thf(sP516,plain,sP516 <=> ((~((((irel @ eigen__4) @ eigen__7) => (~(sP64))))) => sP65),introduced(definition,[new_symbols(definition,[sP516])])). % 62.09/62.24 thf(sP517,plain,sP517 <=> (![X1:$i]:(((irel @ eigen__12) @ X1) => (~(((o32 @ X1) => (~((o42 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP517])])). % 62.09/62.24 thf(sP518,plain,sP518 <=> (sP121 => (~(sP293))),introduced(definition,[new_symbols(definition,[sP518])])). % 62.09/62.24 thf(sP519,plain,sP519 <=> ((~(sP124)) => ((irel @ eigen__11) @ eigen__16)),introduced(definition,[new_symbols(definition,[sP519])])). % 62.09/62.24 thf(sP520,plain,sP520 <=> ((~(sP89)) => sP152),introduced(definition,[new_symbols(definition,[sP520])])). % 62.09/62.24 thf(sP521,plain,sP521 <=> ((~(sP485)) => sP282),introduced(definition,[new_symbols(definition,[sP521])])). % 62.09/62.24 thf(sP522,plain,sP522 <=> (![X1:$i]:(((irel @ eigen__14) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o13 @ X2) => (~((o43 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o23 @ X3) => (~((o33 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o23 @ X4) => (~((o43 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => (~(((o33 @ X4) => (~((o43 @ X4))))))))))))))))),introduced(definition,[new_symbols(definition,[sP522])])). % 62.09/62.24 thf(sP523,plain,sP523 <=> (((irel @ eigen__7) @ eigen__12) => (~(sP415))),introduced(definition,[new_symbols(definition,[sP523])])). % 62.09/62.24 thf(sP524,plain,sP524 <=> (((irel @ eigen__4) @ eigen__7) => ((~((![X1:$i]:(((irel @ eigen__7) @ X1) => (o22 @ X1))))) => sP96)),introduced(definition,[new_symbols(definition,[sP524])])). % 62.09/62.24 thf(sP525,plain,sP525 <=> (o12 @ eigen__27),introduced(definition,[new_symbols(definition,[sP525])])). % 62.09/62.24 thf(sP526,plain,sP526 <=> ((irel @ eigen__4) @ eigen__32),introduced(definition,[new_symbols(definition,[sP526])])). % 62.09/62.24 thf(sP527,plain,sP527 <=> (sP432 => (~(sP6))),introduced(definition,[new_symbols(definition,[sP527])])). % 62.09/62.24 thf(sP528,plain,sP528 <=> ((irel @ eigen__11) @ eigen__14),introduced(definition,[new_symbols(definition,[sP528])])). % 62.09/62.24 thf(sP529,plain,sP529 <=> (sP214 => sP323),introduced(definition,[new_symbols(definition,[sP529])])). % 62.09/62.24 thf(sP530,plain,sP530 <=> (sP95 => (~(sP299))),introduced(definition,[new_symbols(definition,[sP530])])). % 62.09/62.24 thf(sP531,plain,sP531 <=> ((irel @ eigen__7) @ eigen__12),introduced(definition,[new_symbols(definition,[sP531])])). % 62.09/62.24 thf(sP532,plain,sP532 <=> ((irel @ eigen__11) @ eigen__13),introduced(definition,[new_symbols(definition,[sP532])])). % 62.09/62.24 thf(sP533,plain,sP533 <=> ((irel @ eigen__4) @ eigen__10),introduced(definition,[new_symbols(definition,[sP533])])). % 62.09/62.24 thf(sP534,plain,sP534 <=> (![X1:$i]:(((irel @ eigen__9) @ X1) => (o13 @ X1))),introduced(definition,[new_symbols(definition,[sP534])])). % 62.09/62.24 thf(sP535,plain,sP535 <=> ((~((sP349 => (~(((irel @ eigen__17) @ eigen__19)))))) => ((irel @ eigen__9) @ eigen__19)),introduced(definition,[new_symbols(definition,[sP535])])). % 62.09/62.24 thf(sP536,plain,sP536 <=> (![X1:$i]:((~((sP249 => (~(((irel @ eigen__17) @ X1)))))) => ((irel @ eigen__11) @ X1))),introduced(definition,[new_symbols(definition,[sP536])])). % 62.09/62.24 thf(sP537,plain,sP537 <=> (((irel @ eigen__12) @ eigen__16) => (~(sP208))),introduced(definition,[new_symbols(definition,[sP537])])). % 62.09/62.24 thf(sP538,plain,sP538 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__1) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__1) @ X2)))),introduced(definition,[new_symbols(definition,[sP538])])). % 62.09/62.24 thf(sP539,plain,sP539 <=> (![X1:$i]:((~((sP6 => (~(((irel @ eigen__7) @ X1)))))) => ((irel @ eigen__6) @ X1))),introduced(definition,[new_symbols(definition,[sP539])])). % 62.09/62.24 thf(sP540,plain,sP540 <=> (![X1:$i]:(((irel @ eigen__4) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o21 @ X2) => (~((o41 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o31 @ X3) => (~((o41 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o12 @ X4) => (~((o22 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o12 @ X5) => (~((o32 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o12 @ X6) => (~((o42 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o22 @ X7) => (~((o32 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o22 @ X8) => (~((o42 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o32 @ X9) => (~((o42 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o13 @ X10) => (~((o23 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o13 @ X11) => (~((o33 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o13 @ X12) => (~((o43 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o23 @ X13) => (~((o33 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o23 @ X14) => (~((o43 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => (~(((o33 @ X14) => (~((o43 @ X14))))))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP540])])). % 62.09/62.24 thf(sP541,plain,sP541 <=> ((~(sP94)) => (![X1:$i]:(((irel @ eigen__6) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o32 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o33 @ X2))))))),introduced(definition,[new_symbols(definition,[sP541])])). % 62.09/62.24 thf(sP542,plain,sP542 <=> ((~((![X1:$i]:(((irel @ eigen__14) @ X1) => (~(((o13 @ X1) => (~((o33 @ X1)))))))))) => sP522),introduced(definition,[new_symbols(definition,[sP542])])). % 62.09/62.24 thf(sP543,plain,sP543 <=> (sP464 => sP495),introduced(definition,[new_symbols(definition,[sP543])])). % 62.09/62.24 thf(sP544,plain,sP544 <=> (![X1:$i]:(((irel @ eigen__12) @ X1) => (o42 @ X1))),introduced(definition,[new_symbols(definition,[sP544])])). % 62.09/62.24 thf(sP545,plain,sP545 <=> (sP512 => (~(sP154))),introduced(definition,[new_symbols(definition,[sP545])])). % 62.09/62.24 thf(sP546,plain,sP546 <=> (![X1:$i]:((~((((irel @ eigen__10) @ eigen__11) => (~(((irel @ eigen__11) @ X1)))))) => ((irel @ eigen__10) @ X1))),introduced(definition,[new_symbols(definition,[sP546])])). % 62.09/62.24 thf(sP547,plain,sP547 <=> ((irel @ eigen__5) @ eigen__7),introduced(definition,[new_symbols(definition,[sP547])])). % 62.09/62.24 thf(sP548,plain,sP548 <=> ((~(sP506)) => sP77),introduced(definition,[new_symbols(definition,[sP548])])). % 62.09/62.24 thf(sP549,plain,sP549 <=> ((~(sP98)) => sP45),introduced(definition,[new_symbols(definition,[sP549])])). % 62.09/62.24 thf(sP550,plain,sP550 <=> ((~(sP442)) => sP344),introduced(definition,[new_symbols(definition,[sP550])])). % 62.09/62.24 thf(sP551,plain,sP551 <=> (sP16 => sP233),introduced(definition,[new_symbols(definition,[sP551])])). % 62.09/62.24 thf(sP552,plain,sP552 <=> (![X1:$i]:(((irel @ eigen__5) @ X1) => (o21 @ X1))),introduced(definition,[new_symbols(definition,[sP552])])). % 62.09/62.24 thf(sP553,plain,sP553 <=> (((irel @ eigen__1) @ eigen__10) => (~(((irel @ eigen__10) @ eigen__11)))),introduced(definition,[new_symbols(definition,[sP553])])). % 62.09/62.24 thf(sP554,plain,sP554 <=> (![X1:$i]:((~((sP492 => (~(((irel @ eigen__17) @ X1)))))) => ((irel @ eigen__12) @ X1))),introduced(definition,[new_symbols(definition,[sP554])])). % 62.09/62.24 thf(sP555,plain,sP555 <=> ((~((![X1:$i]:(((irel @ eigen__1) @ X1) => (~(((o11 @ X1) => (~((o21 @ X1)))))))))) => (![X1:$i]:(((irel @ eigen__1) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o11 @ X2) => (~((o31 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o11 @ X3) => (~((o41 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o21 @ X4) => (~((o31 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o21 @ X5) => (~((o41 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o31 @ X6) => (~((o41 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o12 @ X7) => (~((o22 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o12 @ X8) => (~((o32 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o12 @ X9) => (~((o42 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o22 @ X10) => (~((o32 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o22 @ X11) => (~((o42 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o32 @ X12) => (~((o42 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o13 @ X13) => (~((o23 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o13 @ X14) => (~((o33 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o13 @ X15) => (~((o43 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => ((~((![X16:$i]:(((irel @ X15) @ X16) => (~(((o23 @ X16) => (~((o33 @ X16)))))))))) => (![X16:$i]:(((irel @ X15) @ X16) => ((~((![X17:$i]:(((irel @ X16) @ X17) => (~(((o23 @ X17) => (~((o43 @ X17)))))))))) => (![X17:$i]:(((irel @ X16) @ X17) => (~(((o33 @ X17) => (~((o43 @ X17))))))))))))))))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP555])])). % 62.09/62.24 thf(sP556,plain,sP556 <=> (sP11 => (~(sP418))),introduced(definition,[new_symbols(definition,[sP556])])). % 62.09/62.24 thf(sP557,plain,sP557 <=> ((~(sP170)) => ((irel @ eigen__6) @ eigen__8)),introduced(definition,[new_symbols(definition,[sP557])])). % 62.09/62.24 thf(sP558,plain,sP558 <=> ((~(sP269)) => sP309),introduced(definition,[new_symbols(definition,[sP558])])). % 62.09/62.24 thf(sP559,plain,sP559 <=> (![X1:$i]:(((irel @ eigen__4) @ X1) => (~(((o21 @ X1) => (~((o31 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP559])])). % 62.09/62.24 thf(sP560,plain,sP560 <=> (![X1:$i]:(((irel @ eigen__8) @ X1) => (o33 @ X1))),introduced(definition,[new_symbols(definition,[sP560])])). % 62.09/62.24 thf(sP561,plain,sP561 <=> (sP418 => ((~(sP90)) => sP156)),introduced(definition,[new_symbols(definition,[sP561])])). % 62.09/62.24 thf(sP562,plain,sP562 <=> ((~(sP388)) => (![X1:$i]:(((irel @ eigen__7) @ X1) => (o13 @ X1)))),introduced(definition,[new_symbols(definition,[sP562])])). % 62.09/62.24 thf(sP563,plain,sP563 <=> ((irel @ eigen__9) @ eigen__19),introduced(definition,[new_symbols(definition,[sP563])])). % 62.09/62.24 thf(sP564,plain,sP564 <=> (sP283 => (~(((irel @ eigen__10) @ eigen__11)))),introduced(definition,[new_symbols(definition,[sP564])])). % 62.09/62.24 thf(sP565,plain,sP565 <=> (![X1:$i]:((~((((irel @ eigen__1) @ eigen__8) => (~(((irel @ eigen__8) @ X1)))))) => ((irel @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP565])])). % 62.09/62.24 thf(sP566,plain,sP566 <=> ((irel @ eigen__8) @ eigen__10),introduced(definition,[new_symbols(definition,[sP566])])). % 62.09/62.24 thf(sP567,plain,sP567 <=> (o23 @ eigen__20),introduced(definition,[new_symbols(definition,[sP567])])). % 62.09/62.24 thf(sP568,plain,sP568 <=> ((~(sP439)) => ((irel @ eigen__3) @ eigen__10)),introduced(definition,[new_symbols(definition,[sP568])])). % 62.09/62.24 thf(sP569,plain,sP569 <=> ((irel @ eigen__11) @ eigen__18),introduced(definition,[new_symbols(definition,[sP569])])). % 62.09/62.24 thf(sP570,plain,sP570 <=> (![X1:$i]:((~((sP259 => (~(((irel @ eigen__11) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP570])])). % 62.09/62.24 thf(sP571,plain,sP571 <=> ((~(sP301)) => ((irel @ eigen__8) @ eigen__20)),introduced(definition,[new_symbols(definition,[sP571])])). % 62.09/62.24 thf(sP572,plain,sP572 <=> (![X1:$i]:(((irel @ eigen__10) @ X1) => (o33 @ X1))),introduced(definition,[new_symbols(definition,[sP572])])). % 62.09/62.24 thf(sP573,plain,sP573 <=> ((irel @ eigen__6) @ eigen__8),introduced(definition,[new_symbols(definition,[sP573])])). % 62.09/62.24 thf(sP574,plain,sP574 <=> (sP165 => (~(sP63))),introduced(definition,[new_symbols(definition,[sP574])])). % 62.09/62.24 thf(sP575,plain,sP575 <=> ((irel @ eigen__5) @ eigen__9),introduced(definition,[new_symbols(definition,[sP575])])). % 62.09/62.24 thf(sP576,plain,sP576 <=> (sP490 => sP300),introduced(definition,[new_symbols(definition,[sP576])])). % 62.09/62.24 thf(sP577,plain,sP577 <=> ((~(sP427)) => sP163),introduced(definition,[new_symbols(definition,[sP577])])). % 62.09/62.24 thf(sP578,plain,sP578 <=> ((irel @ eigen__7) @ eigen__17),introduced(definition,[new_symbols(definition,[sP578])])). % 62.09/62.24 thf(sP579,plain,sP579 <=> (sP288 => sP121),introduced(definition,[new_symbols(definition,[sP579])])). % 62.09/62.24 thf(sP580,plain,sP580 <=> (![X1:$i]:((~((((irel @ eigen__9) @ eigen__12) => (~(((irel @ eigen__12) @ X1)))))) => ((irel @ eigen__9) @ X1))),introduced(definition,[new_symbols(definition,[sP580])])). % 62.09/62.24 thf(sP581,plain,sP581 <=> (sP428 => (~(sP192))),introduced(definition,[new_symbols(definition,[sP581])])). % 62.09/62.24 thf(sP582,plain,sP582 <=> ((~(sP470)) => sP28),introduced(definition,[new_symbols(definition,[sP582])])). % 62.09/62.24 thf(sP583,plain,sP583 <=> (sP547 => ((~((![X1:$i]:(((irel @ eigen__7) @ X1) => (o22 @ X1))))) => sP96)),introduced(definition,[new_symbols(definition,[sP583])])). % 62.09/62.24 thf(sP584,plain,sP584 <=> (sP283 => sP75),introduced(definition,[new_symbols(definition,[sP584])])). % 62.09/62.24 thf(sP585,plain,sP585 <=> (sP484 => sP494),introduced(definition,[new_symbols(definition,[sP585])])). % 62.09/62.24 thf(sP586,plain,sP586 <=> (![X1:$i]:(((irel @ eigen__6) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o32 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o33 @ X2)))))),introduced(definition,[new_symbols(definition,[sP586])])). % 62.09/62.24 thf(sP587,plain,sP587 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__8) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__8) @ X2)))),introduced(definition,[new_symbols(definition,[sP587])])). % 62.09/62.24 thf(sP588,plain,sP588 <=> ((~(sP368)) => sP297),introduced(definition,[new_symbols(definition,[sP588])])). % 62.09/62.24 thf(sP589,plain,sP589 <=> (((irel @ eigen__11) @ eigen__21) => sP110),introduced(definition,[new_symbols(definition,[sP589])])). % 62.09/62.24 thf(sP590,plain,sP590 <=> (![X1:$i]:((~((sP344 => (~(((irel @ eigen__9) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP590])])). % 62.09/62.24 thf(sP591,plain,sP591 <=> (sP208 => sP507),introduced(definition,[new_symbols(definition,[sP591])])). % 62.09/62.24 thf(sP592,plain,sP592 <=> (![X1:$i]:(((irel @ eigen__3) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o12 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o13 @ X2)))))),introduced(definition,[new_symbols(definition,[sP592])])). % 62.09/62.24 thf(sP593,plain,sP593 <=> (sP353 => (o21 @ eigen__31)),introduced(definition,[new_symbols(definition,[sP593])])). % 62.09/62.24 thf(sP594,plain,sP594 <=> ((~(sP30)) => sP461),introduced(definition,[new_symbols(definition,[sP594])])). % 62.09/62.24 thf(sP595,plain,sP595 <=> ((irel @ eigen__8) @ eigen__20),introduced(definition,[new_symbols(definition,[sP595])])). % 62.09/62.24 thf(sP596,plain,sP596 <=> ((~(sP365)) => sP478),introduced(definition,[new_symbols(definition,[sP596])])). % 62.09/62.24 thf(sP597,plain,sP597 <=> ((irel @ eigen__3) @ eigen__6),introduced(definition,[new_symbols(definition,[sP597])])). % 62.09/62.24 thf(sP598,plain,sP598 <=> ((~((![X1:$i]:(((irel @ eigen__11) @ X1) => (~(((o22 @ X1) => (~((o42 @ X1)))))))))) => sP390),introduced(definition,[new_symbols(definition,[sP598])])). % 62.09/62.24 thf(sP599,plain,sP599 <=> (![X1:$i]:(((irel @ eigen__2) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (o32 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => (o33 @ X2)))))),introduced(definition,[new_symbols(definition,[sP599])])). % 62.09/62.24 thf(sP600,plain,sP600 <=> ((irel @ eigen__4) @ eigen__5),introduced(definition,[new_symbols(definition,[sP600])])). % 62.09/62.24 thf(sP601,plain,sP601 <=> (sP464 => (~(sP68))),introduced(definition,[new_symbols(definition,[sP601])])). % 62.09/62.24 thf(sP602,plain,sP602 <=> (![X1:$i]:((~((sP446 => (~(((irel @ eigen__6) @ X1)))))) => ((irel @ eigen__5) @ X1))),introduced(definition,[new_symbols(definition,[sP602])])). % 62.09/62.24 thf(sP603,plain,sP603 <=> ((~(sP430)) => sP599),introduced(definition,[new_symbols(definition,[sP603])])). % 62.09/62.24 thf(sP604,plain,sP604 <=> (sP575 => ((~(sP307)) => (![X1:$i]:(((irel @ eigen__9) @ X1) => (o43 @ X1))))),introduced(definition,[new_symbols(definition,[sP604])])). % 62.09/62.24 thf(sP605,plain,sP605 <=> (o21 @ eigen__31),introduced(definition,[new_symbols(definition,[sP605])])). % 62.09/62.24 thf(sP606,plain,sP606 <=> (![X1:$i]:((~((![X2:$i]:(((irel @ X1) @ X2) => (o11 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (o12 @ X3))))) => (![X3:$i]:(((irel @ X2) @ X3) => (o13 @ X3)))))))),introduced(definition,[new_symbols(definition,[sP606])])). % 62.09/62.24 thf(sP607,plain,sP607 <=> ((~(sP137)) => sP17),introduced(definition,[new_symbols(definition,[sP607])])). % 62.09/62.24 thf(sP608,plain,sP608 <=> (o21 @ eigen__35),introduced(definition,[new_symbols(definition,[sP608])])). % 62.09/62.24 thf(sP609,plain,sP609 <=> (![X1:$i]:((~((sP282 => (~(((irel @ eigen__3) @ X1)))))) => ((irel @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP609])])). % 62.09/62.24 thf(sP610,plain,sP610 <=> (![X1:$i]:(((irel @ eigen__11) @ X1) => (~(((o22 @ X1) => (~((o42 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP610])])). % 62.09/62.24 thf(sP611,plain,sP611 <=> (sP573 => sP112),introduced(definition,[new_symbols(definition,[sP611])])). % 62.09/62.24 thf(sP612,plain,sP612 <=> ((~(sP394)) => sP275),introduced(definition,[new_symbols(definition,[sP612])])). % 62.09/62.24 thf(sP613,plain,sP613 <=> (sP563 => (o43 @ eigen__19)),introduced(definition,[new_symbols(definition,[sP613])])). % 62.09/62.24 thf(sP614,plain,sP614 <=> (((irel @ eigen__7) @ eigen__29) => (~(sP574))),introduced(definition,[new_symbols(definition,[sP614])])). % 62.09/62.24 thf(sP615,plain,sP615 <=> (sP130 => sP514),introduced(definition,[new_symbols(definition,[sP615])])). % 62.09/62.24 thf(sP616,plain,sP616 <=> (sP526 => (~(sP305))),introduced(definition,[new_symbols(definition,[sP616])])). % 62.09/62.24 thf(sP617,plain,sP617 <=> (sP68 => (~(((irel @ eigen__10) @ eigen__11)))),introduced(definition,[new_symbols(definition,[sP617])])). % 62.09/62.24 thf(sP618,plain,sP618 <=> ((irel @ eigen__9) @ eigen__15),introduced(definition,[new_symbols(definition,[sP618])])). % 62.09/62.24 thf(sP619,plain,sP619 <=> (sP466 => (~(sP418))),introduced(definition,[new_symbols(definition,[sP619])])). % 62.09/62.24 thf(sP620,plain,sP620 <=> (o21 @ eigen__32),introduced(definition,[new_symbols(definition,[sP620])])). % 62.09/62.24 thf(sP621,plain,sP621 <=> (sP359 => sP109),introduced(definition,[new_symbols(definition,[sP621])])). % 62.09/62.24 thf(sP622,plain,sP622 <=> (sP149 => sP562),introduced(definition,[new_symbols(definition,[sP622])])). % 62.09/62.24 thf(sP623,plain,sP623 <=> ((irel @ eigen__8) @ eigen__17),introduced(definition,[new_symbols(definition,[sP623])])). % 62.09/62.24 thf(sP624,plain,sP624 <=> (sP355 => (~(sP16))),introduced(definition,[new_symbols(definition,[sP624])])). % 62.09/62.24 thf(sP625,plain,sP625 <=> ((irel @ eigen__6) @ eigen__10),introduced(definition,[new_symbols(definition,[sP625])])). % 62.09/62.24 thf(sP626,plain,sP626 <=> (sP230 => (o23 @ eigen__23)),introduced(definition,[new_symbols(definition,[sP626])])). % 62.09/62.24 thf(sP627,plain,sP627 <=> ((irel @ eigen__5) @ eigen__12),introduced(definition,[new_symbols(definition,[sP627])])). % 62.09/62.24 thf(sP628,plain,sP628 <=> (sP219 => sP7),introduced(definition,[new_symbols(definition,[sP628])])). % 62.09/62.24 thf(sP629,plain,sP629 <=> (sP290 => (~((sP40 => (~(sP41)))))),introduced(definition,[new_symbols(definition,[sP629])])). % 62.09/62.24 thf(sP630,plain,sP630 <=> ((~(sP307)) => (![X1:$i]:(((irel @ eigen__9) @ X1) => (o43 @ X1)))),introduced(definition,[new_symbols(definition,[sP630])])). % 62.09/62.24 thf(sP631,plain,sP631 <=> ((~(sP167)) => sP249),introduced(definition,[new_symbols(definition,[sP631])])). % 62.09/62.24 thf(sP632,plain,sP632 <=> ((irel @ eigen__12) @ eigen__16),introduced(definition,[new_symbols(definition,[sP632])])). % 62.09/62.24 thf(sP633,plain,sP633 <=> ((~(sP258)) => sP431),introduced(definition,[new_symbols(definition,[sP633])])). % 62.09/62.24 thf(sP634,plain,sP634 <=> (((irel @ eigen__5) @ eigen__11) => (~(((irel @ eigen__11) @ eigen__12)))),introduced(definition,[new_symbols(definition,[sP634])])). % 62.09/62.24 thf(sP635,plain,sP635 <=> (sP297 => (~(sP299))),introduced(definition,[new_symbols(definition,[sP635])])). % 62.09/62.24 thf(sP636,plain,sP636 <=> (sP349 => (~(((irel @ eigen__17) @ eigen__19)))),introduced(definition,[new_symbols(definition,[sP636])])). % 62.09/62.24 thf(sP637,plain,sP637 <=> (![X1:$i]:((~((sP349 => (~(((irel @ eigen__17) @ X1)))))) => ((irel @ eigen__9) @ X1))),introduced(definition,[new_symbols(definition,[sP637])])). % 62.09/62.24 thf(sP638,plain,sP638 <=> ((~(sP601)) => sP283),introduced(definition,[new_symbols(definition,[sP638])])). % 62.09/62.24 thf(sP639,plain,sP639 <=> (o43 @ eigen__19),introduced(definition,[new_symbols(definition,[sP639])])). % 62.09/62.24 thf(sP640,plain,sP640 <=> ((~(sP425)) => sP144),introduced(definition,[new_symbols(definition,[sP640])])). % 62.09/62.24 thf(sP641,plain,sP641 <=> (sP82 => sP328),introduced(definition,[new_symbols(definition,[sP641])])). % 62.09/62.24 thf(sP642,plain,sP642 <=> (((irel @ eigen__11) @ eigen__16) => (~(sP512))),introduced(definition,[new_symbols(definition,[sP642])])). % 62.09/62.24 thf(sP643,plain,sP643 <=> (sP216 => (~(sP276))),introduced(definition,[new_symbols(definition,[sP643])])). % 62.09/62.24 thf(sP644,plain,sP644 <=> (sP449 => sP456),introduced(definition,[new_symbols(definition,[sP644])])). % 62.09/62.24 thf(sP645,plain,sP645 <=> ((irel @ eigen__8) @ eigen__18),introduced(definition,[new_symbols(definition,[sP645])])). % 62.09/62.24 thf(sP646,plain,sP646 <=> (sP73 => (~(sP600))),introduced(definition,[new_symbols(definition,[sP646])])). % 62.09/62.24 thf(sP647,plain,sP647 <=> (sP299 => (~(sP319))),introduced(definition,[new_symbols(definition,[sP647])])). % 62.09/62.24 thf(sP648,plain,sP648 <=> (![X1:$i]:(((irel @ eigen__8) @ X1) => (o32 @ X1))),introduced(definition,[new_symbols(definition,[sP648])])). % 62.09/62.24 thf(sP649,plain,sP649 <=> (![X1:$i]:(((irel @ eigen__9) @ X1) => (o43 @ X1))),introduced(definition,[new_symbols(definition,[sP649])])). % 62.09/62.24 thf(sP650,plain,sP650 <=> (sP384 => sP266),introduced(definition,[new_symbols(definition,[sP650])])). % 62.09/62.24 thf(sP651,plain,sP651 <=> (sP184 => (~(((irel @ eigen__11) @ eigen__12)))),introduced(definition,[new_symbols(definition,[sP651])])). % 62.09/62.24 thf(sP652,plain,sP652 <=> ((irel @ eigen__5) @ eigen__11),introduced(definition,[new_symbols(definition,[sP652])])). % 62.09/62.24 thf(sP653,plain,sP653 <=> (sP34 => sP181),introduced(definition,[new_symbols(definition,[sP653])])). % 62.09/62.24 thf(sP654,plain,sP654 <=> ((~(sP381)) => ((irel @ eigen__1) @ eigen__8)),introduced(definition,[new_symbols(definition,[sP654])])). % 62.09/62.24 thf(sP655,plain,sP655 <=> (o23 @ eigen__23),introduced(definition,[new_symbols(definition,[sP655])])). % 62.09/62.24 thf(sP656,plain,sP656 <=> ((~(sP434)) => sP11),introduced(definition,[new_symbols(definition,[sP656])])). % 62.09/62.24 thf(sP657,plain,sP657 <=> ((irel @ eigen__17) @ eigen__19),introduced(definition,[new_symbols(definition,[sP657])])). % 62.09/62.24 thf(sP658,plain,sP658 <=> (![X1:$i]:(((irel @ eigen__9) @ X1) => (o12 @ X1))),introduced(definition,[new_symbols(definition,[sP658])])). % 62.09/62.24 thf(sP659,plain,sP659 <=> ((~(sP651)) => sP325),introduced(definition,[new_symbols(definition,[sP659])])). % 62.09/62.24 thf(sP660,plain,sP660 <=> (sP511 => sP110),introduced(definition,[new_symbols(definition,[sP660])])). % 62.09/62.24 thf(sP661,plain,sP661 <=> (sP401 => (~(sP68))),introduced(definition,[new_symbols(definition,[sP661])])). % 62.09/62.24 thf(sP662,plain,sP662 <=> (![X1:$i]:(((irel @ eigen__7) @ X1) => (o22 @ X1))),introduced(definition,[new_symbols(definition,[sP662])])). % 62.09/62.24 thf(sP663,plain,sP663 <=> ((irel @ eigen__10) @ eigen__11),introduced(definition,[new_symbols(definition,[sP663])])). % 62.09/62.24 thf(sP664,plain,sP664 <=> ((~(sP127)) => sP108),introduced(definition,[new_symbols(definition,[sP664])])). % 62.09/62.24 thf(sP665,plain,sP665 <=> (sP422 => sP256),introduced(definition,[new_symbols(definition,[sP665])])). % 62.09/62.24 thf(sP666,plain,sP666 <=> (sP34 => (~(sP383))),introduced(definition,[new_symbols(definition,[sP666])])). % 62.09/62.25 thf(sP667,plain,sP667 <=> (sP344 => (~(sP68))),introduced(definition,[new_symbols(definition,[sP667])])). % 62.09/62.25 thf(sP668,plain,sP668 <=> ((~(sP84)) => sP578),introduced(definition,[new_symbols(definition,[sP668])])). % 62.09/62.25 thf(sP669,plain,sP669 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__7) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__7) @ X2)))),introduced(definition,[new_symbols(definition,[sP669])])). % 62.09/62.25 thf(sP670,plain,sP670 <=> (![X1:$i]:((~((((irel @ eigen__10) @ eigen__16) => (~(((irel @ eigen__16) @ X1)))))) => ((irel @ eigen__10) @ X1))),introduced(definition,[new_symbols(definition,[sP670])])). % 62.09/62.25 thf(sP671,plain,sP671 <=> (![X1:$i]:(((irel @ eigen__15) @ X1) => (~(((o13 @ X1) => (~((o43 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP671])])). % 62.09/62.25 thf(sP672,plain,sP672 <=> ((irel @ eigen__11) @ eigen__16),introduced(definition,[new_symbols(definition,[sP672])])). % 62.09/62.25 thf(sP673,plain,sP673 <=> (sP219 => (~(sP600))),introduced(definition,[new_symbols(definition,[sP673])])). % 62.09/62.25 thf(sP674,plain,sP674 <=> ((irel @ eigen__4) @ eigen__6),introduced(definition,[new_symbols(definition,[sP674])])). % 62.09/62.25 thf(sP675,plain,sP675 <=> (![X1:$i]:((~((sP464 => (~(((irel @ eigen__9) @ X1)))))) => ((irel @ eigen__2) @ X1))),introduced(definition,[new_symbols(definition,[sP675])])). % 62.09/62.25 thf(sP676,plain,sP676 <=> ((irel @ eigen__9) @ eigen__14),introduced(definition,[new_symbols(definition,[sP676])])). % 62.09/62.25 thf(sP677,plain,sP677 <=> ((irel @ eigen__4) @ eigen__7),introduced(definition,[new_symbols(definition,[sP677])])). % 62.09/62.25 thf(sP678,plain,sP678 <=> (sP23 => sP407),introduced(definition,[new_symbols(definition,[sP678])])). % 62.09/62.25 thf(sP679,plain,sP679 <=> ((irel @ eigen__11) @ eigen__12),introduced(definition,[new_symbols(definition,[sP679])])). % 62.09/62.25 thf(sP680,plain,sP680 <=> (sP652 => sP262),introduced(definition,[new_symbols(definition,[sP680])])). % 62.09/62.25 thf(sP681,plain,sP681 <=> ((~(sP409)) => sP225),introduced(definition,[new_symbols(definition,[sP681])])). % 62.09/62.25 thf(sP682,plain,sP682 <=> (![X1:$i]:((~((sP578 => (~(((irel @ eigen__17) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP682])])). % 62.09/62.25 thf(sP683,plain,sP683 <=> (sP359 => sP608),introduced(definition,[new_symbols(definition,[sP683])])). % 62.09/62.25 thf(sP684,plain,sP684 <=> ((irel @ eigen__10) @ eigen__19),introduced(definition,[new_symbols(definition,[sP684])])). % 62.09/62.25 thf(sP685,plain,sP685 <=> (![X1:$i]:(((irel @ eigen__2) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o11 @ X2) => (~((o41 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o21 @ X3) => (~((o31 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o21 @ X4) => (~((o41 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o31 @ X5) => (~((o41 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o12 @ X6) => (~((o22 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o12 @ X7) => (~((o32 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o12 @ X8) => (~((o42 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o22 @ X9) => (~((o32 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o22 @ X10) => (~((o42 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o32 @ X11) => (~((o42 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o13 @ X12) => (~((o23 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o13 @ X13) => (~((o33 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o13 @ X14) => (~((o43 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o23 @ X15) => (~((o33 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => ((~((![X16:$i]:(((irel @ X15) @ X16) => (~(((o23 @ X16) => (~((o43 @ X16)))))))))) => (![X16:$i]:(((irel @ X15) @ X16) => (~(((o33 @ X16) => (~((o43 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP685])])). % 62.09/62.25 thf(sP686,plain,sP686 <=> (![X1:$i]:((~((sP437 => (~(((irel @ eigen__13) @ X1)))))) => ((irel @ eigen__9) @ X1))),introduced(definition,[new_symbols(definition,[sP686])])). % 62.09/62.25 thf(sP687,plain,sP687 <=> ((~(sP235)) => sP597),introduced(definition,[new_symbols(definition,[sP687])])). % 62.09/62.25 thf(sP688,plain,sP688 <=> (![X1:$i]:(((irel @ eigen__1) @ X1) => ((~((![X2:$i]:(((irel @ X1) @ X2) => (~(((o11 @ X2) => (~((o31 @ X2)))))))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (~(((o11 @ X3) => (~((o41 @ X3)))))))))) => (![X3:$i]:(((irel @ X2) @ X3) => ((~((![X4:$i]:(((irel @ X3) @ X4) => (~(((o21 @ X4) => (~((o31 @ X4)))))))))) => (![X4:$i]:(((irel @ X3) @ X4) => ((~((![X5:$i]:(((irel @ X4) @ X5) => (~(((o21 @ X5) => (~((o41 @ X5)))))))))) => (![X5:$i]:(((irel @ X4) @ X5) => ((~((![X6:$i]:(((irel @ X5) @ X6) => (~(((o31 @ X6) => (~((o41 @ X6)))))))))) => (![X6:$i]:(((irel @ X5) @ X6) => ((~((![X7:$i]:(((irel @ X6) @ X7) => (~(((o12 @ X7) => (~((o22 @ X7)))))))))) => (![X7:$i]:(((irel @ X6) @ X7) => ((~((![X8:$i]:(((irel @ X7) @ X8) => (~(((o12 @ X8) => (~((o32 @ X8)))))))))) => (![X8:$i]:(((irel @ X7) @ X8) => ((~((![X9:$i]:(((irel @ X8) @ X9) => (~(((o12 @ X9) => (~((o42 @ X9)))))))))) => (![X9:$i]:(((irel @ X8) @ X9) => ((~((![X10:$i]:(((irel @ X9) @ X10) => (~(((o22 @ X10) => (~((o32 @ X10)))))))))) => (![X10:$i]:(((irel @ X9) @ X10) => ((~((![X11:$i]:(((irel @ X10) @ X11) => (~(((o22 @ X11) => (~((o42 @ X11)))))))))) => (![X11:$i]:(((irel @ X10) @ X11) => ((~((![X12:$i]:(((irel @ X11) @ X12) => (~(((o32 @ X12) => (~((o42 @ X12)))))))))) => (![X12:$i]:(((irel @ X11) @ X12) => ((~((![X13:$i]:(((irel @ X12) @ X13) => (~(((o13 @ X13) => (~((o23 @ X13)))))))))) => (![X13:$i]:(((irel @ X12) @ X13) => ((~((![X14:$i]:(((irel @ X13) @ X14) => (~(((o13 @ X14) => (~((o33 @ X14)))))))))) => (![X14:$i]:(((irel @ X13) @ X14) => ((~((![X15:$i]:(((irel @ X14) @ X15) => (~(((o13 @ X15) => (~((o43 @ X15)))))))))) => (![X15:$i]:(((irel @ X14) @ X15) => ((~((![X16:$i]:(((irel @ X15) @ X16) => (~(((o23 @ X16) => (~((o33 @ X16)))))))))) => (![X16:$i]:(((irel @ X15) @ X16) => ((~((![X17:$i]:(((irel @ X16) @ X17) => (~(((o23 @ X17) => (~((o43 @ X17)))))))))) => (![X17:$i]:(((irel @ X16) @ X17) => (~(((o33 @ X17) => (~((o43 @ X17)))))))))))))))))))))))))))))))))))))))))))))))))))))))),introduced(definition,[new_symbols(definition,[sP688])])). % 62.09/62.25 thf(sP689,plain,sP689 <=> (![X1:$i]:((~((sP677 => (~(((irel @ eigen__7) @ X1)))))) => ((irel @ eigen__4) @ X1))),introduced(definition,[new_symbols(definition,[sP689])])). % 62.09/62.25 thf(sP690,plain,sP690 <=> (![X1:$i]:((~((![X2:$i]:(((irel @ X1) @ X2) => (o31 @ X2))))) => (![X2:$i]:(((irel @ X1) @ X2) => ((~((![X3:$i]:(((irel @ X2) @ X3) => (o32 @ X3))))) => (![X3:$i]:(((irel @ X2) @ X3) => (o33 @ X3)))))))),introduced(definition,[new_symbols(definition,[sP690])])). % 62.09/62.25 thf(sP691,plain,sP691 <=> (![X1:$i]:(((irel @ eigen__7) @ X1) => (o13 @ X1))),introduced(definition,[new_symbols(definition,[sP691])])). % 62.09/62.25 thf(sP692,plain,sP692 <=> ((irel @ eigen__9) @ eigen__27),introduced(definition,[new_symbols(definition,[sP692])])). % 62.09/62.25 thf(sP693,plain,sP693 <=> (sP479 => (~((o31 @ eigen__34)))),introduced(definition,[new_symbols(definition,[sP693])])). % 62.09/62.25 thf(sP694,plain,sP694 <=> (o31 @ eigen__32),introduced(definition,[new_symbols(definition,[sP694])])). % 62.09/62.25 thf(sP695,plain,sP695 <=> ((irel @ eigen__9) @ eigen__12),introduced(definition,[new_symbols(definition,[sP695])])). % 62.09/62.25 thf(sP696,plain,sP696 <=> ((~(sP217)) => sP684),introduced(definition,[new_symbols(definition,[sP696])])). % 62.09/62.25 thf(sP697,plain,sP697 <=> (![X1:$i]:((~((sP309 => (~(((irel @ eigen__9) @ X1)))))) => ((irel @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP697])])). % 62.09/62.25 thf(sP698,plain,sP698 <=> ((~(sP268)) => sP199),introduced(definition,[new_symbols(definition,[sP698])])). % 62.09/62.25 thf(sP699,plain,sP699 <=> (sP136 => sP542),introduced(definition,[new_symbols(definition,[sP699])])). % 62.09/62.25 thf(sP700,plain,sP700 <=> (sP82 => (~(sP419))),introduced(definition,[new_symbols(definition,[sP700])])). % 62.09/62.25 thf(sP701,plain,sP701 <=> ((~(sP624)) => ((irel @ eigen__8) @ eigen__15)),introduced(definition,[new_symbols(definition,[sP701])])). % 62.09/62.25 thf(sP702,plain,sP702 <=> ((~(sP673)) => sP334),introduced(definition,[new_symbols(definition,[sP702])])). % 62.09/62.25 thf(sP703,plain,sP703 <=> ((~((sP333 => (~(sP679))))) => sP308),introduced(definition,[new_symbols(definition,[sP703])])). % 62.09/62.25 thf(sP704,plain,sP704 <=> ((~(sP90)) => sP156),introduced(definition,[new_symbols(definition,[sP704])])). % 62.09/62.25 thf(sP705,plain,sP705 <=> (sP200 => sP262),introduced(definition,[new_symbols(definition,[sP705])])). % 62.09/62.25 thf(sP706,plain,sP706 <=> (sP623 => (~(sP115))),introduced(definition,[new_symbols(definition,[sP706])])). % 62.09/62.25 thf(sP707,plain,sP707 <=> (o31 @ eigen__34),introduced(definition,[new_symbols(definition,[sP707])])). % 62.09/62.25 thf(sP708,plain,sP708 <=> ((~(sP510)) => sP95),introduced(definition,[new_symbols(definition,[sP708])])). % 62.09/62.25 thf(sP709,plain,sP709 <=> (![X1:$i]:((~((sP219 => (~(((irel @ eigen__4) @ X1)))))) => ((irel @ eigen__3) @ X1))),introduced(definition,[new_symbols(definition,[sP709])])). % 62.09/62.25 thf(sP710,plain,sP710 <=> (![X1:$i]:((~((sP462 => (~(((irel @ eigen__16) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP710])])). % 62.09/62.25 thf(sP711,plain,sP711 <=> ((~(sP189)) => sP211),introduced(definition,[new_symbols(definition,[sP711])])). % 62.09/62.25 thf(sP712,plain,sP712 <=> ((irel @ eigen__3) @ eigen__10),introduced(definition,[new_symbols(definition,[sP712])])). % 62.09/62.25 thf(sP713,plain,sP713 <=> ((~(sP46)) => sP286),introduced(definition,[new_symbols(definition,[sP713])])). % 62.09/62.25 thf(sP714,plain,sP714 <=> (sP333 => (~(sP679))),introduced(definition,[new_symbols(definition,[sP714])])). % 62.09/62.25 thf(sP715,plain,sP715 <=> ((~(sP377)) => sP401),introduced(definition,[new_symbols(definition,[sP715])])). % 62.09/62.25 thf(sP716,plain,sP716 <=> ((~(sP255)) => ((irel @ eigen__1) @ eigen__10)),introduced(definition,[new_symbols(definition,[sP716])])). % 62.09/62.25 thf(sP717,plain,sP717 <=> (sP422 => (~((sP24 => (~(sP256)))))),introduced(definition,[new_symbols(definition,[sP717])])). % 62.09/62.25 thf(sP718,plain,sP718 <=> ((irel @ eigen__8) @ eigen__16),introduced(definition,[new_symbols(definition,[sP718])])). % 62.09/62.25 thf(sP719,plain,sP719 <=> (sP369 => (~(sP417))),introduced(definition,[new_symbols(definition,[sP719])])). % 62.09/62.25 thf(sP720,plain,sP720 <=> (![X1:$i]:((~((sP623 => (~(((irel @ eigen__17) @ X1)))))) => ((irel @ eigen__8) @ X1))),introduced(definition,[new_symbols(definition,[sP720])])). % 62.09/62.25 thf(sP721,plain,sP721 <=> ((irel @ eigen__11) @ eigen__21),introduced(definition,[new_symbols(definition,[sP721])])). % 62.09/62.25 thf(sP722,plain,sP722 <=> ((irel @ eigen__1) @ eigen__11),introduced(definition,[new_symbols(definition,[sP722])])). % 62.09/62.25 thf(sP723,plain,sP723 <=> (![X1:$i]:(((irel @ eigen__1) @ X1) => (~(((o11 @ X1) => (~((o21 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP723])])). % 62.09/62.25 thf(sP724,plain,sP724 <=> (![X1:$i]:((~((sP575 => (~(((irel @ eigen__9) @ X1)))))) => ((irel @ eigen__5) @ X1))),introduced(definition,[new_symbols(definition,[sP724])])). % 62.09/62.25 thf(sP725,plain,sP725 <=> (sP133 => sP639),introduced(definition,[new_symbols(definition,[sP725])])). % 62.09/62.25 thf(sP726,plain,sP726 <=> (sP24 => (~(sP256))),introduced(definition,[new_symbols(definition,[sP726])])). % 62.09/62.25 thf(sP727,plain,sP727 <=> (![X1:$i]:((~((sP311 => (~(((irel @ eigen__7) @ X1)))))) => ((irel @ eigen__2) @ X1))),introduced(definition,[new_symbols(definition,[sP727])])). % 62.09/62.25 thf(sP728,plain,sP728 <=> ((~(sP501)) => sP490),introduced(definition,[new_symbols(definition,[sP728])])). % 62.09/62.25 thf(sP729,plain,sP729 <=> (![X1:$i]:((~((sP531 => (~(((irel @ eigen__12) @ X1)))))) => ((irel @ eigen__7) @ X1))),introduced(definition,[new_symbols(definition,[sP729])])). % 62.09/62.25 thf(sP730,plain,sP730 <=> (o32 @ eigen__24),introduced(definition,[new_symbols(definition,[sP730])])). % 62.09/62.25 thf(sP731,plain,sP731 <=> (sP618 => (~(sP192))),introduced(definition,[new_symbols(definition,[sP731])])). % 62.09/62.25 thf(sP732,plain,sP732 <=> (sP493 => sP567),introduced(definition,[new_symbols(definition,[sP732])])). % 62.09/62.25 thf(sP733,plain,sP733 <=> ((irel @ eigen__1) @ eigen__8),introduced(definition,[new_symbols(definition,[sP733])])). % 62.09/62.25 thf(sP734,plain,sP734 <=> (o42 @ eigen__25),introduced(definition,[new_symbols(definition,[sP734])])). % 62.09/62.25 thf(sP735,plain,sP735 <=> ((~(sP662)) => sP96),introduced(definition,[new_symbols(definition,[sP735])])). % 62.09/62.25 thf(sP736,plain,sP736 <=> (![X1:$i]:(![X2:$i]:((~((((irel @ eigen__11) @ X1) => (~(((irel @ X1) @ X2)))))) => ((irel @ eigen__11) @ X2)))),introduced(definition,[new_symbols(definition,[sP736])])). % 62.09/62.25 thf(sP737,plain,sP737 <=> ((irel @ eigen__10) @ eigen__22),introduced(definition,[new_symbols(definition,[sP737])])). % 62.09/62.25 thf(sP738,plain,sP738 <=> ((irel @ eigen__10) @ eigen__16),introduced(definition,[new_symbols(definition,[sP738])])). % 62.09/62.25 thf(sP739,plain,sP739 <=> ((irel @ eigen__7) @ eigen__29),introduced(definition,[new_symbols(definition,[sP739])])). % 62.09/62.25 thf(sP740,plain,sP740 <=> (![X1:$i]:((~((sP254 => (~(((irel @ eigen__5) @ X1)))))) => ((irel @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP740])])). % 62.09/62.25 thf(sP741,plain,sP741 <=> (sP418 => (~(sP68))),introduced(definition,[new_symbols(definition,[sP741])])). % 62.09/62.25 thf(sP742,plain,sP742 <=> ((irel @ eigen__8) @ eigen__15),introduced(definition,[new_symbols(definition,[sP742])])). % 62.09/62.25 thf(sP743,plain,sP743 <=> (sP144 => (~(sP64))),introduced(definition,[new_symbols(definition,[sP743])])). % 62.09/62.25 thf(sP744,plain,sP744 <=> (![X1:$i]:(((irel @ eigen__14) @ X1) => (~(((o13 @ X1) => (~((o33 @ X1)))))))),introduced(definition,[new_symbols(definition,[sP744])])). % 62.09/62.25 thf(sP745,plain,sP745 <=> (sP40 => (~(sP41))),introduced(definition,[new_symbols(definition,[sP745])])). % 62.09/62.25 thf(sP746,plain,sP746 <=> ((irel @ eigen__10) @ eigen__23),introduced(definition,[new_symbols(definition,[sP746])])). % 62.09/62.25 thf(sP747,plain,sP747 <=> (sP677 => (~(sP64))),introduced(definition,[new_symbols(definition,[sP747])])). % 62.09/62.25 thf(sP748,plain,sP748 <=> ((~(sP279)) => sP259),introduced(definition,[new_symbols(definition,[sP748])])). % 62.09/62.25 thf(sP749,plain,sP749 <=> (![X1:$i]:((~((sP466 => (~(((irel @ eigen__8) @ X1)))))) => ((irel @ eigen__5) @ X1))),introduced(definition,[new_symbols(definition,[sP749])])). % 62.09/62.25 thf(sP750,plain,sP750 <=> ((irel @ eigen__1) @ eigen__10),introduced(definition,[new_symbols(definition,[sP750])])). % 62.09/62.25 thf(sP751,plain,sP751 <=> (![X1:$i]:((~((sP200 => (~(((irel @ eigen__11) @ X1)))))) => ((irel @ eigen__4) @ X1))),introduced(definition,[new_symbols(definition,[sP751])])). % 62.09/62.25 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))). % 62.09/62.25 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))). % 62.09/62.25 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))). % 62.09/62.25 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))). % 62.09/62.25 thf(def_mbox_s4,definition,(mbox_s4 = (^[X1:$i>$o]:(^[X2:$i]:(![X3:$i]:(((irel @ X2) @ X3) => (X1 @ X3))))))). % 62.09/62.25 thf(def_iatom,definition,(iatom = (^[X1:$i>$o]:X1))). % 62.09/62.25 thf(def_inot,definition,(inot = (^[X1:$i>$o]:(mnot @ (mbox_s4 @ X1))))). % 62.09/62.25 thf(def_itrue,definition,(itrue = (^[X1:$i]:(~($false))))). % 62.09/62.25 thf(def_ifalse,definition,(ifalse = (inot @ itrue))). % 62.09/62.25 thf(def_iand,definition,(iand = mand)). % 62.09/62.25 thf(def_ior,definition,(ior = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mbox_s4 @ X1)) @ (mbox_s4 @ X2)))))). % 62.09/62.25 thf(def_iimplies,definition,(iimplies = (^[X1:$i>$o]:(^[X2:$i>$o]:((mimplies @ (mbox_s4 @ X1)) @ (mbox_s4 @ X2)))))). % 62.09/62.25 thf(def_iimplied,definition,(iimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((iimplies @ X2) @ X1))))). % 62.09/62.25 thf(def_iequiv,definition,(iequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((iand @ ((iimplies @ X1) @ X2)) @ ((iimplies @ X2) @ X1)))))). % 62.09/62.25 thf(def_ixor,definition,(ixor = (^[X1:$i>$o]:(^[X2:$i>$o]:(inot @ ((iequiv @ X1) @ X2)))))). % 62.09/62.25 thf(def_ivalid,definition,(ivalid = (!!))). % 62.09/62.25 thf(def_isatisfiable,definition,(isatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))). % 62.09/62.25 thf(def_icountersatisfiable,definition,(icountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))). % 62.09/62.25 thf(def_iinvalid,definition,(iinvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))). % 62.09/62.25 thf(con,conjecture,sP329). % 62.09/62.25 thf(h1,negated_conjecture,(~(sP329)),inference(assume_negation,[status(cth)],[con])). % 62.09/62.25 thf(1,plain,(~(sP459) | sP48),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(2,plain,((~(sP48) | sP553) | sP722),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(3,plain,((~(sP553) | ~(sP750)) | ~(sP663)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(4,plain,(~(sP697) | sP716),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(5,plain,((~(sP716) | sP255) | sP750),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(6,plain,((~(sP255) | ~(sP309)) | ~(sP68)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(7,plain,(~(sP565) | sP558),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(8,plain,((~(sP558) | sP269) | sP309),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(9,plain,((~(sP269) | ~(sP733)) | ~(sP418)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(10,plain,(~(sP382) | sP654),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(11,plain,((~(sP654) | sP381) | sP733),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(12,plain,((~(sP381) | ~(sP149)) | ~(sP64)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(13,plain,(~(sP147) | sP274),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(14,plain,((~(sP274) | sP527) | sP149),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(15,plain,((~(sP527) | ~(sP432)) | ~(sP6)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(16,plain,(~(sP740) | sP2),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(17,plain,((~(sP2) | sP101) | sP432),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(18,plain,((~(sP101) | ~(sP254)) | ~(sP446)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(19,plain,(~(sP25) | sP22),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(20,plain,((~(sP22) | sP79) | sP254),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(21,plain,((~(sP79) | ~(sP152)) | ~(sP600)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(22,plain,(~(sP609) | sP520),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(23,plain,((~(sP520) | sP89) | sP152),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(24,plain,((~(sP89) | ~(sP282)) | ~(sP219)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(25,plain,(~(sP416) | sP521),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(26,plain,((~(sP521) | sP485) | sP282),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(27,plain,((~(sP485) | ~(sP384)) | ~(sP130)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(28,plain,(~(sP538) | sP565),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(29,plain,(~(sP538) | sP697),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(30,plain,(~(sP538) | sP459),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(31,plain,(~(sP538) | sP416),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(32,plain,(~(sP538) | sP609),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(33,plain,(~(sP538) | sP25),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(34,plain,(~(sP538) | sP740),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(35,plain,(~(sP538) | sP147),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(36,plain,(~(sP538) | sP382),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(37,plain,(~(sP388) | sP52),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(38,plain,((~(sP52) | ~(sP378)) | sP40),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(39,plain,(~(sP96) | sP376),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(40,plain,((~(sP376) | ~(sP513)) | sP197),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(41,plain,(~(sP474) | sP265),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(42,plain,((~(sP265) | ~(sP684)) | sP197),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(43,plain,(~(sP85) | sP391),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(44,plain,((~(sP391) | ~(sP478)) | sP639),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(45,plain,(~(sP649) | sP613),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(46,plain,((~(sP613) | ~(sP563)) | sP639),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(47,plain,(~(sP58) | sP725),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(48,plain,((~(sP725) | ~(sP133)) | sP639),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(49,plain,(~(sP710) | sP668),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(50,plain,((~(sP668) | sP84) | sP578),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(51,plain,((~(sP84) | ~(sP462)) | ~(sP208)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(52,plain,(~(sP111) | sP403),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(53,plain,((~(sP403) | sP372) | sP462),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(54,plain,((~(sP372) | ~(sP141)) | ~(sP192)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(55,plain,(~(sP337) | sP78),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(56,plain,((~(sP78) | sP97) | sP141),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(57,plain,((~(sP97) | ~(sP216)) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(58,plain,(~(sP331) | sP245),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(59,plain,((~(sP245) | sP155) | sP216),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(60,plain,((~(sP155) | ~(sP53)) | ~(sP136)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(61,plain,(~(sP729) | sP203),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(62,plain,((~(sP203) | sP523) | sP53),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(63,plain,((~(sP523) | ~(sP531)) | ~(sP415)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(64,plain,(~(sP570) | sP56),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(65,plain,((~(sP56) | sP375) | sP531),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(66,plain,((~(sP375) | ~(sP259)) | ~(sP679)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(67,plain,(~(sP177) | sP748),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(68,plain,((~(sP748) | sP279) | sP259),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(69,plain,((~(sP279) | ~(sP107)) | ~(sP663)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(70,plain,(~(sP590) | sP140),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(71,plain,((~(sP140) | sP667) | sP107),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(72,plain,((~(sP667) | ~(sP344)) | ~(sP68)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(73,plain,(~(sP402) | sP550),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(74,plain,((~(sP550) | sP442) | sP344),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(75,plain,((~(sP442) | ~(sP64)) | ~(sP418)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(76,plain,(~(sP669) | sP331),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(77,plain,(~(sP331) | sP548),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(78,plain,((~(sP548) | sP506) | sP77),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(79,plain,((~(sP506) | ~(sP53)) | ~(sP369)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(80,plain,(~(sP669) | sP337),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(81,plain,(~(sP337) | sP343),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(82,plain,((~(sP343) | sP643) | sP445),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(83,plain,((~(sP643) | ~(sP216)) | ~(sP276)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(84,plain,(~(sP669) | sP111),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(85,plain,(~(sP111) | sP476),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(86,plain,((~(sP476) | sP172) | sP23),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(87,plain,((~(sP172) | ~(sP141)) | ~(sP299)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(88,plain,(~(sP669) | sP710),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(89,plain,(~(sP710) | sP239),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(90,plain,((~(sP239) | sP243) | sP443),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(91,plain,((~(sP243) | ~(sP462)) | ~(sP512)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(92,plain,(~(sP669) | sP682),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(93,plain,(~(sP682) | sP51),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(94,plain,((~(sP51) | sP292) | sP513),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(95,plain,((~(sP292) | ~(sP578)) | ~(sP657)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(96,plain,(~(sP669) | sP402),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(97,plain,(~(sP402) | sP294),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(98,plain,((~(sP294) | sP168) | sP378),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(99,plain,((~(sP168) | ~(sP64)) | ~(sP290)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(100,plain,(~(sP669) | sP590),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(101,plain,(~(sP669) | sP177),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(102,plain,(~(sP669) | sP570),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(103,plain,(~(sP669) | sP729),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(104,plain,(~(sP298) | sP70),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(105,plain,((~(sP70) | sP146) | sP484),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(106,plain,((~(sP146) | ~(sP625)) | ~(sP663)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(107,plain,(~(sP261) | sP285),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(108,plain,((~(sP285) | sP661) | sP625),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(109,plain,((~(sP661) | ~(sP401)) | ~(sP68)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(110,plain,(~(sP105) | sP715),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(111,plain,((~(sP715) | sP377) | sP401),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(112,plain,((~(sP377) | ~(sP573)) | ~(sP418)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(113,plain,(~(sP539) | sP557),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(114,plain,((~(sP557) | sP170) | sP573),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(115,plain,((~(sP170) | ~(sP6)) | ~(sP64)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(116,plain,(~(sP444) | sP105),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(117,plain,(~(sP444) | sP261),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(118,plain,(~(sP444) | sP298),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(119,plain,(~(sP444) | sP539),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(120,plain,(~(sP96) | sP250),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(121,plain,((~(sP250) | ~(sP443)) | sP567),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(122,plain,(~(sP318) | sP732),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(123,plain,((~(sP732) | ~(sP493)) | sP567),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(124,plain,(~(sP336) | sP529),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(125,plain,((~(sP529) | ~(sP214)) | sP323),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(126,plain,(~(sP560) | sP212),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(127,plain,((~(sP212) | ~(sP595)) | sP323),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(128,plain,(~(sP572) | sP451),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(129,plain,((~(sP451) | ~(sP244)) | sP323),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(130,plain,(~(sP57) | sP253),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(131,plain,((~(sP253) | sP634) | sP627),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(132,plain,((~(sP634) | ~(sP652)) | ~(sP679)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(133,plain,(~(sP106) | sP473),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(134,plain,((~(sP473) | sP335) | sP652),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(135,plain,((~(sP335) | ~(sP275)) | ~(sP663)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(136,plain,(~(sP724) | sP612),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(137,plain,((~(sP612) | sP394) | sP275),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(138,plain,((~(sP394) | ~(sP575)) | ~(sP68)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(139,plain,(~(sP749) | sP284),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(140,plain,((~(sP284) | sP619) | sP575),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(141,plain,((~(sP619) | ~(sP466)) | ~(sP418)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(142,plain,(~(sP412) | sP224),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(143,plain,((~(sP224) | sP472) | sP466),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(144,plain,((~(sP472) | ~(sP547)) | ~(sP64)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(145,plain,(~(sP602) | sP132),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(146,plain,((~(sP132) | sP306) | sP547),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(147,plain,((~(sP306) | ~(sP446)) | ~(sP6)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(148,plain,(~(sP161) | sP749),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(149,plain,(~(sP161) | sP724),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(150,plain,(~(sP161) | sP106),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(151,plain,(~(sP161) | sP57),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(152,plain,(~(sP161) | sP602),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(153,plain,(~(sP161) | sP412),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(154,plain,(~(sP691) | sP678),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(155,plain,((~(sP678) | ~(sP23)) | sP407),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(156,plain,(~(sP85) | sP660),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(157,plain,((~(sP660) | ~(sP511)) | sP110),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(158,plain,(~(sP58) | sP589),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(159,plain,((~(sP589) | ~(sP721)) | sP110),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(160,plain,(~(sP751) | sP713),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(161,plain,((~(sP713) | sP46) | sP286),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(162,plain,((~(sP46) | ~(sP200)) | ~(sP679)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(163,plain,(~(sP191) | sP260),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(164,plain,((~(sP260) | sP240) | sP200),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(165,plain,((~(sP240) | ~(sP533)) | ~(sP663)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(166,plain,(~(sP31) | sP482),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(167,plain,((~(sP482) | sP9) | sP533),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(168,plain,((~(sP9) | ~(sP317)) | ~(sP68)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(169,plain,(~(sP26) | sP424),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(170,plain,((~(sP424) | sP231) | sP317),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(171,plain,((~(sP231) | ~(sP65)) | ~(sP418)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(172,plain,(~(sP689) | sP516),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(173,plain,((~(sP516) | sP747) | sP65),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(174,plain,((~(sP747) | ~(sP677)) | ~(sP64)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(175,plain,(~(sP100) | sP345),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(176,plain,((~(sP345) | sP304) | sP677),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(177,plain,((~(sP304) | ~(sP674)) | ~(sP6)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(178,plain,(~(sP271) | sP488),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(179,plain,((~(sP488) | sP123) | sP674),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(180,plain,((~(sP123) | ~(sP600)) | ~(sP446)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(181,plain,(~(sP223) | sP26),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(182,plain,(~(sP223) | sP31),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(183,plain,(~(sP223) | sP191),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(184,plain,(~(sP223) | sP751),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(185,plain,(~(sP223) | sP271),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(186,plain,(~(sP223) | sP100),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(187,plain,(~(sP223) | sP689),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(188,plain,(~(sP691) | sP5),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(189,plain,((~(sP5) | ~(sP445)) | sP281),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(190,plain,(~(sP534) | sP129),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(191,plain,((~(sP129) | ~(sP119)) | sP281),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(192,plain,(~(sP336) | sP644),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(193,plain,((~(sP644) | ~(sP449)) | sP456),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(194,plain,(~(sP560) | sP326),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(195,plain,((~(sP326) | ~(sP211)) | sP456),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(196,plain,(~(sP572) | sP405),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(197,plain,((~(sP405) | ~(sP737)) | sP456),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(198,plain,(~(sP361) | sP633),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(199,plain,((~(sP633) | sP258) | sP431),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(200,plain,((~(sP258) | ~(sP128)) | ~(sP679)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(201,plain,(~(sP465) | sP81),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(202,plain,((~(sP81) | sP238) | sP128),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(203,plain,((~(sP238) | ~(sP712)) | ~(sP663)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(204,plain,(~(sP206) | sP568),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(205,plain,((~(sP568) | sP439) | sP712),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(206,plain,((~(sP439) | ~(sP125)) | ~(sP68)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(207,plain,(~(sP469) | sP27),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(208,plain,((~(sP27) | sP332) | sP125),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(209,plain,((~(sP332) | ~(sP92)) | ~(sP418)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(210,plain,(~(sP303) | sP19),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(211,plain,((~(sP19) | sP743) | sP92),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(212,plain,((~(sP743) | ~(sP144)) | ~(sP64)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(213,plain,(~(sP371) | sP640),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(214,plain,((~(sP640) | sP425) | sP144),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(215,plain,((~(sP425) | ~(sP597)) | ~(sP6)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(216,plain,(~(sP348) | sP687),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(217,plain,((~(sP687) | sP235) | sP597),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(218,plain,((~(sP235) | ~(sP334)) | ~(sP446)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(219,plain,(~(sP709) | sP702),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(220,plain,((~(sP702) | sP673) | sP334),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(221,plain,((~(sP673) | ~(sP219)) | ~(sP600)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(222,plain,(~(sP385) | sP469),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(223,plain,(~(sP385) | sP206),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(224,plain,(~(sP385) | sP465),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(225,plain,(~(sP385) | sP361),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(226,plain,(~(sP385) | sP709),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(227,plain,(~(sP385) | sP348),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(228,plain,(~(sP385) | sP371),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(229,plain,(~(sP385) | sP303),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(230,plain,(~(sP691) | sP406),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(231,plain,((~(sP406) | ~(sP77)) | sP190),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(232,plain,(~(sP534) | sP399),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(233,plain,((~(sP399) | ~(sP421)) | sP190),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(234,plain,(~(sP474) | sP196),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(235,plain,((~(sP196) | ~(sP746)) | sP655),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(236,plain,(~(sP318) | sP626),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(237,plain,((~(sP626) | ~(sP230)) | sP655),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(238,plain,(~(sP302) | sP703),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(239,plain,((~(sP703) | sP714) | sP308),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(240,plain,((~(sP714) | ~(sP333)) | ~(sP679)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(241,plain,(~(sP397) | sP515),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(242,plain,((~(sP515) | sP564) | sP333),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(243,plain,((~(sP564) | ~(sP283)) | ~(sP663)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(244,plain,(~(sP675) | sP638),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(245,plain,((~(sP638) | sP601) | sP283),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(246,plain,((~(sP601) | ~(sP464)) | ~(sP68)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(247,plain,(~(sP502) | sP396),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(248,plain,((~(sP396) | sP556) | sP464),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(249,plain,((~(sP556) | ~(sP11)) | ~(sP418)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(250,plain,(~(sP727) | sP656),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(251,plain,((~(sP656) | sP434) | sP11),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(252,plain,((~(sP434) | ~(sP311)) | ~(sP64)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(253,plain,(~(sP398) | sP164),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(254,plain,((~(sP164) | sP480) | sP311),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(255,plain,((~(sP480) | ~(sP139)) | ~(sP6)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(256,plain,(~(sP257) | sP33),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(257,plain,((~(sP33) | sP441) | sP139),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(258,plain,((~(sP441) | ~(sP350)) | ~(sP446)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(259,plain,(~(sP278) | sP210),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(260,plain,((~(sP210) | sP646) | sP350),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(261,plain,((~(sP646) | ~(sP73)) | ~(sP600)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(262,plain,(~(sP393) | sP131),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(263,plain,((~(sP131) | sP316) | sP73),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(264,plain,((~(sP316) | ~(sP130)) | ~(sP219)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(265,plain,(~(sP160) | sP502),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(266,plain,(~(sP160) | sP675),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(267,plain,(~(sP160) | sP397),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(268,plain,(~(sP160) | sP302),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(269,plain,(~(sP160) | sP393),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(270,plain,(~(sP160) | sP278),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(271,plain,(~(sP160) | sP257),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(272,plain,(~(sP160) | sP398),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(273,plain,(~(sP160) | sP727),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(274,plain,(~(sP420) | sP621),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(275,plain,((~(sP621) | ~(sP359)) | sP109),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(276,plain,(~(sP15) | sP683),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(277,plain,((~(sP683) | ~(sP359)) | sP608),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(278,plain,((~(sP159) | ~(sP109)) | ~(sP608)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(279,plain,(~(sP32) | sP280),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(280,plain,((~(sP280) | sP537) | sP492),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(281,plain,((~(sP537) | ~(sP632)) | ~(sP208)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(282,plain,(~(sP91) | sP188),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(283,plain,((~(sP188) | sP118) | sP632),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(284,plain,((~(sP118) | ~(sP95)) | ~(sP192)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(285,plain,(~(sP387) | sP708),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(286,plain,((~(sP708) | sP510) | sP95),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(287,plain,((~(sP510) | ~(sP209)) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(288,plain,(~(sP145) | sP10),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(289,plain,((~(sP10) | sP229) | sP209),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(290,plain,((~(sP229) | ~(sP415)) | ~(sP136)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(291,plain,(~(sP483) | sP145),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(292,plain,(~(sP483) | sP387),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(293,plain,(~(sP387) | sP312),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(294,plain,((~(sP312) | sP436) | sP449),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(295,plain,((~(sP436) | ~(sP209)) | ~(sP276)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(296,plain,(~(sP483) | sP91),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(297,plain,(~(sP91) | sP66),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(298,plain,((~(sP66) | sP530) | sP511),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(299,plain,((~(sP530) | ~(sP95)) | ~(sP299)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(300,plain,(~(sP483) | sP32),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(301,plain,(~(sP32) | sP228),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(302,plain,((~(sP228) | sP340) | sP214),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(303,plain,((~(sP340) | ~(sP632)) | ~(sP512)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(304,plain,(~(sP483) | sP554),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(305,plain,(~(sP554) | sP596),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(306,plain,((~(sP596) | sP365) | sP478),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(307,plain,((~(sP365) | ~(sP492)) | ~(sP657)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(308,plain,(~(sP388) | sP487),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(309,plain,((~(sP487) | ~(sP739)) | sP165),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(310,plain,(~(sP662) | sP67),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(311,plain,((~(sP67) | ~(sP739)) | sP63),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(312,plain,((~(sP574) | ~(sP165)) | ~(sP63)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(313,plain,(~(sP536) | sP185),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(314,plain,((~(sP185) | sP143) | sP569),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(315,plain,((~(sP143) | ~(sP249)) | ~(sP115)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(316,plain,(~(sP509) | sP631),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(317,plain,((~(sP631) | sP167) | sP249),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(318,plain,((~(sP167) | ~(sP672)) | ~(sP208)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(319,plain,(~(sP264) | sP519),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(320,plain,((~(sP519) | sP124) | sP672),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(321,plain,((~(sP124) | ~(sP297)) | ~(sP192)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(322,plain,(~(sP291) | sP588),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(323,plain,((~(sP588) | sP368) | sP297),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(324,plain,((~(sP368) | ~(sP528)) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(325,plain,(~(sP114) | sP117),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(326,plain,((~(sP117) | sP135) | sP528),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(327,plain,((~(sP135) | ~(sP532)) | ~(sP136)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(328,plain,(~(sP221) | sP440),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(329,plain,((~(sP440) | sP126) | sP532),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(330,plain,((~(sP126) | ~(sP679)) | ~(sP415)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(331,plain,(~(sP736) | sP114),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(332,plain,(~(sP114) | sP226),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(333,plain,((~(sP226) | sP404) | sP230),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(334,plain,((~(sP404) | ~(sP532)) | ~(sP369)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(335,plain,(~(sP736) | sP291),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(336,plain,(~(sP736) | sP264),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(337,plain,(~(sP264) | sP491),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(338,plain,((~(sP491) | sP635) | sP721),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(339,plain,((~(sP635) | ~(sP297)) | ~(sP299)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(340,plain,(~(sP736) | sP509),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(341,plain,(~(sP509) | sP426),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(342,plain,((~(sP426) | sP642) | sP493),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(343,plain,((~(sP642) | ~(sP672)) | ~(sP512)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(344,plain,(~(sP736) | sP536),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(345,plain,(~(sP536) | sP220),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(346,plain,((~(sP220) | sP62) | sP133),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(347,plain,((~(sP62) | ~(sP249)) | ~(sP657)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(348,plain,(~(sP736) | sP221),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(349,plain,(~(sP94) | sP389),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(350,plain,((~(sP389) | ~(sP34)) | sP321),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(351,plain,(~(sP289) | sP653),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(352,plain,((~(sP653) | ~(sP34)) | sP181),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(353,plain,((~(sP383) | ~(sP321)) | ~(sP181)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(354,plain,(~(sP205) | sP728),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(355,plain,((~(sP728) | sP501) | sP490),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(356,plain,((~(sP501) | ~(sP187)) | ~(sP115)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(357,plain,(~(sP670) | sP410),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(358,plain,((~(sP410) | sP104) | sP187),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(359,plain,((~(sP104) | ~(sP738)) | ~(sP208)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(360,plain,(~(sP50) | sP151),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(361,plain,((~(sP151) | sP581) | sP738),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(362,plain,((~(sP581) | ~(sP428)) | ~(sP192)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(363,plain,(~(sP14) | sP218),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(364,plain,((~(sP218) | sP423) | sP428),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(365,plain,((~(sP423) | ~(sP163)) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(366,plain,(~(sP500) | sP577),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(367,plain,((~(sP577) | sP427) | sP163),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(368,plain,((~(sP427) | ~(sP202)) | ~(sP136)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(369,plain,(~(sP222) | sP327),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(370,plain,((~(sP327) | sP248) | sP202),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(371,plain,((~(sP248) | ~(sP199)) | ~(sP415)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(372,plain,(~(sP546) | sP698),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(373,plain,((~(sP698) | sP268) | sP199),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(374,plain,((~(sP268) | ~(sP663)) | ~(sP679)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(375,plain,(~(sP392) | sP500),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(376,plain,(~(sP500) | sP296),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(377,plain,((~(sP296) | sP438) | sP746),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(378,plain,((~(sP438) | ~(sP202)) | ~(sP369)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(379,plain,(~(sP392) | sP14),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(380,plain,(~(sP14) | sP367),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(381,plain,((~(sP367) | sP347) | sP737),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(382,plain,((~(sP347) | ~(sP163)) | ~(sP276)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(383,plain,(~(sP392) | sP50),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(384,plain,(~(sP392) | sP670),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(385,plain,(~(sP670) | sP386),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(386,plain,((~(sP386) | sP80) | sP244),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(387,plain,((~(sP80) | ~(sP738)) | ~(sP512)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(388,plain,(~(sP392) | sP205),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(389,plain,(~(sP205) | sP696),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(390,plain,((~(sP696) | sP217) | sP684),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(391,plain,((~(sP217) | ~(sP187)) | ~(sP657)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(392,plain,(~(sP392) | sP546),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(393,plain,(~(sP392) | sP222),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(394,plain,(~(sP552) | sP593),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(395,plain,((~(sP593) | ~(sP353)) | sP605),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(396,plain,(~(sP176) | sP175),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(397,plain,((~(sP175) | ~(sP353)) | sP158),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(398,plain,((~(sP198) | ~(sP605)) | ~(sP158)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(399,plain,(~(sP637) | sP594),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(400,plain,((~(sP594) | sP30) | sP461),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(401,plain,((~(sP30) | ~(sP349)) | ~(sP115)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(402,plain,(~(sP21) | sP374),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(403,plain,((~(sP374) | sP475) | sP349),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(404,plain,((~(sP475) | ~(sP352)) | ~(sP208)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(405,plain,(~(sP166) | sP408),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(406,plain,((~(sP408) | sP731) | sP352),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(407,plain,((~(sP731) | ~(sP618)) | ~(sP192)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(408,plain,(~(sP450) | sP364),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(409,plain,((~(sP364) | sP277) | sP618),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(410,plain,((~(sP277) | ~(sP676)) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(411,plain,(~(sP686) | sP207),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(412,plain,((~(sP207) | sP496) | sP676),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(413,plain,((~(sP496) | ~(sP437)) | ~(sP136)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(414,plain,(~(sP580) | sP247),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(415,plain,((~(sP247) | sP358) | sP437),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(416,plain,((~(sP358) | ~(sP695)) | ~(sP415)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(417,plain,(~(sP320) | sP448),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(418,plain,((~(sP448) | sP457) | sP695),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(419,plain,((~(sP457) | ~(sP246)) | ~(sP679)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(420,plain,(~(sP366) | sP252),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(421,plain,((~(sP252) | sP617) | sP246),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(422,plain,((~(sP617) | ~(sP68)) | ~(sP663)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(423,plain,(~(sP447) | sP686),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(424,plain,(~(sP686) | sP180),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(425,plain,((~(sP180) | sP36) | sP421),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(426,plain,((~(sP36) | ~(sP437)) | ~(sP369)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(427,plain,(~(sP447) | sP450),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(428,plain,(~(sP450) | sP4),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(429,plain,((~(sP4) | sP414) | sP119),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(430,plain,((~(sP414) | ~(sP676)) | ~(sP276)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(431,plain,(~(sP447) | sP166),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(432,plain,(~(sP447) | sP21),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(433,plain,(~(sP447) | sP637),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(434,plain,(~(sP637) | sP535),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(435,plain,((~(sP535) | sP636) | sP563),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(436,plain,((~(sP636) | ~(sP349)) | ~(sP657)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(437,plain,(~(sP447) | sP366),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(438,plain,(~(sP447) | sP320),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(439,plain,(~(sP447) | sP580),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(440,plain,(~(sP720) | sP468),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(441,plain,((~(sP468) | sP706) | sP645),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(442,plain,((~(sP706) | ~(sP623)) | ~(sP115)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(443,plain,(~(sP234) | sP481),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(444,plain,((~(sP481) | sP182) | sP623),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(445,plain,((~(sP182) | ~(sP718)) | ~(sP208)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(446,plain,(~(sP270) | sP54),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(447,plain,((~(sP54) | sP471) | sP718),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(448,plain,((~(sP471) | ~(sP742)) | ~(sP192)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(449,plain,(~(sP76) | sP701),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(450,plain,((~(sP701) | sP624) | sP742),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(451,plain,((~(sP624) | ~(sP355)) | ~(sP16)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(452,plain,(~(sP99) | sP44),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(453,plain,((~(sP44) | sP330) | sP355),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(454,plain,((~(sP330) | ~(sP225)) | ~(sP136)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(455,plain,(~(sP486) | sP681),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(456,plain,((~(sP681) | sP409) | sP225),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(457,plain,((~(sP409) | ~(sP325)) | ~(sP415)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(458,plain,(~(sP503) | sP659),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(459,plain,((~(sP659) | sP651) | sP325),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(460,plain,((~(sP651) | ~(sP184)) | ~(sP679)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(461,plain,(~(sP18) | sP47),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(462,plain,((~(sP47) | sP103) | sP184),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(463,plain,((~(sP103) | ~(sP566)) | ~(sP663)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(464,plain,(~(sP357) | sP227),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(465,plain,((~(sP227) | sP741) | sP566),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(466,plain,((~(sP741) | ~(sP418)) | ~(sP68)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(467,plain,(~(sP587) | sP99),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(468,plain,(~(sP587) | sP76),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(469,plain,(~(sP76) | sP711),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(470,plain,((~(sP711) | sP189) | sP211),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(471,plain,((~(sP189) | ~(sP355)) | ~(sP276)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(472,plain,(~(sP587) | sP270),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(473,plain,(~(sP587) | sP234),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(474,plain,(~(sP234) | sP571),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(475,plain,((~(sP571) | sP301) | sP595),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(476,plain,((~(sP301) | ~(sP718)) | ~(sP512)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(477,plain,(~(sP587) | sP720),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(478,plain,(~(sP587) | sP357),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(479,plain,(~(sP587) | sP18),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(480,plain,(~(sP587) | sP503),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(481,plain,(~(sP587) | sP486),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(482,plain,(~(sP162) | sP356),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(483,plain,((~(sP356) | ~(sP526)) | sP620),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(484,plain,(~(sP55) | sP463),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(485,plain,((~(sP463) | ~(sP526)) | sP694),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(486,plain,((~(sP305) | ~(sP620)) | ~(sP694)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(487,plain,(~(sP273) | sP579),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(488,plain,((~(sP579) | ~(sP288)) | sP121),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(489,plain,(~(sP127) | sP263),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(490,plain,((~(sP263) | ~(sP288)) | sP293),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(491,plain,((~(sP518) | ~(sP121)) | ~(sP293)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(492,plain,(~(sP60) | sP363),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(493,plain,((~(sP363) | ~(sP72)) | sP479),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(494,plain,(~(sP430) | sP8),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(495,plain,((~(sP8) | ~(sP72)) | sP707),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(496,plain,((~(sP693) | ~(sP479)) | ~(sP707)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(497,plain,(~(sP362) | sP194),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(498,plain,((~(sP194) | ~(sP171)) | sP730),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(499,plain,(~(sP544) | sP452),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(500,plain,((~(sP452) | ~(sP171)) | sP93),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(501,plain,((~(sP346) | ~(sP730)) | ~(sP93)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(502,plain,(~(sP370) | sP641),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(503,plain,((~(sP641) | ~(sP82)) | sP328),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(504,plain,(~(sP351) | sP113),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(505,plain,((~(sP113) | ~(sP82)) | sP734),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(506,plain,((~(sP419) | ~(sP328)) | ~(sP734)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(507,plain,(~(sP313) | sP322),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(508,plain,((~(sP322) | ~(sP422)) | sP24),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(509,plain,(~(sP42) | sP665),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(510,plain,((~(sP665) | ~(sP422)) | sP256),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(511,plain,((~(sP726) | ~(sP24)) | ~(sP256)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(512,plain,(~(sP658) | sP287),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(513,plain,((~(sP287) | ~(sP692)) | sP525),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(514,plain,(~(sP307) | sP134),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(515,plain,((~(sP134) | ~(sP692)) | sP173),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(516,plain,((~(sP315) | ~(sP525)) | ~(sP173)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(517,plain,(~(sP648) | sP460),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(518,plain,((~(sP460) | ~(sP290)) | sP41),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(519,plain,((~(sP745) | ~(sP40)) | ~(sP41)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(520,plain,((~(sP87) | ~(sP197)) | ~(sP639)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(521,plain,((~(sP154) | ~(sP567)) | ~(sP323)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(522,plain,((~(sP319) | ~(sP407)) | ~(sP110)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(523,plain,((~(sP183) | ~(sP281)) | ~(sP456)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(524,plain,((~(sP417) | ~(sP190)) | ~(sP655)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(525,plain,(~(sP88) | sP215),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(526,plain,((~(sP215) | ~(sP722)) | sP262),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(527,plain,(~(sP88) | sP339),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(528,plain,((~(sP339) | ~(sP750)) | sP13),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(529,plain,(~(sP411) | sP324),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(530,plain,((~(sP324) | ~(sP309)) | sP495),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(531,plain,(~(sP411) | sP622),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(532,plain,((~(sP622) | ~(sP149)) | sP562),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(533,plain,(~(sP454) | sP538),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(534,plain,(sP157 | sP159),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(535,plain,(sP157 | sP359),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(536,plain,(~(sP454) | sP669),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(537,plain,(sP614 | sP574),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(538,plain,(sP614 | sP739),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(539,plain,(~(sP116) | sP585),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(540,plain,((~(sP585) | ~(sP484)) | sP494),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(541,plain,(~(sP116) | sP455),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(542,plain,((~(sP455) | ~(sP401)) | sP630),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(543,plain,(~(sP586) | sP237),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(544,plain,((~(sP237) | ~(sP625)) | sP75),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(545,plain,(~(sP586) | sP611),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(546,plain,((~(sP611) | ~(sP573)) | sP112),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(547,plain,(~(sP454) | sP444),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(548,plain,(sP666 | sP383),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(549,plain,(sP666 | sP34),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(550,plain,(~(sP380) | sP453),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(551,plain,((~(sP453) | ~(sP627)) | sP69),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(552,plain,(~(sP380) | sP201),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(553,plain,((~(sP201) | ~(sP652)) | sP494),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(554,plain,(~(sP380) | sP604),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(555,plain,((~(sP604) | ~(sP575)) | sP630),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(556,plain,(~(sP499) | sP680),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(557,plain,((~(sP680) | ~(sP652)) | sP262),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(558,plain,(~(sP499) | sP314),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(559,plain,((~(sP314) | ~(sP275)) | sP13),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(560,plain,(~(sP499) | sP583),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(561,plain,((~(sP583) | ~(sP547)) | sP735),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(562,plain,(~(sP454) | sP161),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(563,plain,(sP360 | sP198),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(564,plain,(sP360 | sP353),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(565,plain,(~(sP38) | sP153),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(566,plain,((~(sP153) | ~(sP286)) | sP179),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(567,plain,(~(sP38) | sP83),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(568,plain,((~(sP83) | ~(sP65)) | sP112),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(569,plain,(~(sP498) | sP705),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(570,plain,((~(sP705) | ~(sP200)) | sP262),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(571,plain,(~(sP498) | sP524),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(572,plain,((~(sP524) | ~(sP677)) | sP735),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(573,plain,(~(sP454) | sP223),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(574,plain,(sP616 | sP305),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(575,plain,(sP616 | sP526),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(576,plain,(~(sP108) | sP477),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(577,plain,((~(sP477) | ~(sP431)) | sP69),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(578,plain,(~(sP108) | sP458),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(579,plain,((~(sP458) | ~(sP128)) | sP494),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(580,plain,(~(sP592) | sP338),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(581,plain,((~(sP338) | ~(sP144)) | sP562),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(582,plain,(~(sP454) | sP385),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(583,plain,(sP138 | sP518),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(584,plain,(sP138 | sP288),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(585,plain,(~(sP599) | sP489),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(586,plain,((~(sP489) | ~(sP308)) | sP179),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(587,plain,(~(sP599) | sP584),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(588,plain,((~(sP584) | ~(sP283)) | sP75),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(589,plain,(~(sP599) | sP195),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(590,plain,((~(sP195) | ~(sP11)) | sP112),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(591,plain,(~(sP342) | sP543),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(592,plain,((~(sP543) | ~(sP464)) | sP495),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(593,plain,(~(sP342) | sP508),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(594,plain,((~(sP508) | ~(sP311)) | sP562),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(595,plain,(~(sP454) | sP160),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(596,plain,(sP29 | sP693),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(597,plain,(sP29 | sP72),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(598,plain,(~(sP454) | sP483),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(599,plain,(sP354 | sP346),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(600,plain,(sP354 | sP171),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(601,plain,(~(sP454) | sP736),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(602,plain,(sP700 | sP419),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(603,plain,(sP700 | sP82),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(604,plain,(~(sP58) | sP193),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(605,plain,((~(sP193) | ~(sP569)) | sP150),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(606,plain,(~(sP454) | sP392),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(607,plain,(sP717 | sP726),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(608,plain,(sP717 | sP422),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(609,plain,(~(sP572) | sP576),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(610,plain,((~(sP576) | ~(sP490)) | sP300),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(611,plain,(~(sP454) | sP447),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(612,plain,(sP71 | sP315),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(613,plain,(sP71 | sP692),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(614,plain,(~(sP649) | sP242),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(615,plain,((~(sP242) | ~(sP461)) | sP150),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(616,plain,(~(sP454) | sP587),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(617,plain,(sP629 | sP745),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(618,plain,(sP629 | sP290),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(619,plain,(~(sP560) | sP61),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(620,plain,((~(sP61) | ~(sP645)) | sP300),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(621,plain,(sP204 | sP87),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(622,plain,(sP204 | sP657),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(623,plain,(sP545 | sP154),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(624,plain,(sP545 | sP512),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(625,plain,(sP647 | sP319),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(626,plain,(sP647 | sP299),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(627,plain,(sP505 | sP183),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(628,plain,(sP505 | sP276),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(629,plain,(sP719 | sP417),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(630,plain,(sP719 | sP369),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(631,plain,(sP723 | ~(sP157)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__35])). % 62.09/62.25 thf(632,plain,(~(sP606) | sP122),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(633,plain,((~(sP122) | sP420) | sP411),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(634,plain,(~(sP373) | sP504),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(635,plain,((~(sP504) | sP15) | sP88),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(636,plain,(sP186 | ~(sP29)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__34])). % 62.09/62.25 thf(637,plain,(~(sP606) | sP341),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(638,plain,((~(sP341) | sP60) | sP342),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(639,plain,(~(sP690) | sP603),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(640,plain,((~(sP603) | sP430) | sP599),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(641,plain,(sP178 | ~(sP138)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__33])). % 62.09/62.25 thf(642,plain,(~(sP606) | sP241),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(643,plain,((~(sP241) | sP273) | sP592),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(644,plain,(~(sP1) | sP664),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(645,plain,((~(sP664) | sP127) | sP108),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(646,plain,(sP559 | ~(sP616)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__32])). % 62.09/62.25 thf(647,plain,(~(sP373) | sP35),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(648,plain,((~(sP35) | sP162) | sP498),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(649,plain,(~(sP690) | sP272),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(650,plain,((~(sP272) | sP55) | sP38),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(651,plain,(sP12 | ~(sP360)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__31])). % 62.09/62.25 thf(652,plain,(~(sP373) | sP429),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(653,plain,((~(sP429) | sP552) | sP499),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(654,plain,(~(sP1) | sP20),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(655,plain,((~(sP20) | sP176) | sP380),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(656,plain,(sP470 | ~(sP666)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__30])). % 62.09/62.25 thf(657,plain,(~(sP690) | sP541),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(658,plain,((~(sP541) | sP94) | sP586),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(659,plain,(~(sP1) | sP413),inference(all_rule,[status(thm)],[])). % 62.09/62.25 thf(660,plain,((~(sP413) | sP289) | sP116),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(661,plain,(sP137 | ~(sP614)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__29])). % 62.09/62.25 thf(662,plain,((~(sP562) | sP388) | sP691),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(663,plain,((~(sP735) | sP662) | sP96),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(664,plain,(sP379 | ~(sP629)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__28])). % 62.09/62.25 thf(665,plain,((~(sP112) | sP648) | sP560),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(666,plain,(sP90 | ~(sP71)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__27])). % 62.09/62.25 thf(667,plain,((~(sP495) | sP658) | sP534),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(668,plain,((~(sP630) | sP307) | sP649),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(669,plain,(sP251 | ~(sP717)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__26])). % 62.09/62.25 thf(670,plain,((~(sP13) | sP313) | sP474),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(671,plain,((~(sP75) | sP42) | sP572),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(672,plain,(sP610 | ~(sP700)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__25])). % 62.09/62.25 thf(673,plain,((~(sP262) | sP370) | sP318),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(674,plain,((~(sP494) | sP351) | sP58),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(675,plain,(sP517 | ~(sP354)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__24])). % 62.09/62.25 thf(676,plain,((~(sP179) | sP362) | sP336),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(677,plain,((~(sP69) | sP544) | sP85),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(678,plain,(sP433 | ~(sP719)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__23])). % 62.09/62.25 thf(679,plain,(sP744 | ~(sP505)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__22])). % 62.09/62.25 thf(680,plain,(sP671 | ~(sP647)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__21])). % 62.09/62.25 thf(681,plain,(sP98 | ~(sP545)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__20])). % 62.09/62.25 thf(682,plain,(sP400 | ~(sP204)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__19])). % 62.09/62.25 thf(683,plain,((~(sP39) | ~(sP300)) | ~(sP150)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(684,plain,(sP43 | sP39),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(685,plain,(sP43 | sP115),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(686,plain,(sP142 | ~(sP43)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__18])). % 62.09/62.25 thf(687,plain,(sP507 | ~(sP142)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(688,plain,(sP507 | ~(sP400)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(689,plain,(sP591 | ~(sP507)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(690,plain,(sP591 | sP208),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(691,plain,(sP45 | ~(sP591)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__17])). % 62.09/62.25 thf(692,plain,(sP549 | ~(sP45)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(693,plain,(sP549 | ~(sP98)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(694,plain,(sP236 | ~(sP549)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(695,plain,(sP236 | sP192),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(696,plain,(sP3 | ~(sP236)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__16])). % 62.09/62.25 thf(697,plain,(sP233 | ~(sP3)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(698,plain,(sP233 | ~(sP671)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(699,plain,(sP551 | ~(sP233)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(700,plain,(sP551 | sP16),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(701,plain,(sP522 | ~(sP551)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__15])). % 62.09/62.25 thf(702,plain,(sP542 | ~(sP522)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(703,plain,(sP542 | ~(sP744)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(704,plain,(sP699 | ~(sP542)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(705,plain,(sP699 | sP136),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(706,plain,(sP120 | ~(sP699)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__14])). % 62.09/62.25 thf(707,plain,(sP435 | ~(sP120)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(708,plain,(sP435 | ~(sP433)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(709,plain,(sP213 | ~(sP435)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(710,plain,(sP213 | sP415),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(711,plain,(sP59 | ~(sP213)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__13])). % 62.09/62.25 thf(712,plain,(sP148 | ~(sP59)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(713,plain,(sP148 | ~(sP517)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(714,plain,(sP467 | ~(sP148)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(715,plain,(sP467 | sP679),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(716,plain,(sP390 | ~(sP467)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__12])). % 62.09/62.25 thf(717,plain,(sP598 | ~(sP390)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(718,plain,(sP598 | ~(sP610)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(719,plain,(sP169 | ~(sP598)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(720,plain,(sP169 | sP663),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(721,plain,(sP74 | ~(sP169)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__11])). % 62.09/62.25 thf(722,plain,(sP86 | ~(sP74)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(723,plain,(sP86 | ~(sP251)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(724,plain,(sP497 | ~(sP86)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(725,plain,(sP497 | sP68),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(726,plain,(sP156 | ~(sP497)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__10])). % 62.09/62.25 thf(727,plain,(sP704 | ~(sP156)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(728,plain,(sP704 | ~(sP90)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(729,plain,(sP561 | ~(sP704)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(730,plain,(sP561 | sP418),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(731,plain,(sP102 | ~(sP561)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__9])). % 62.09/62.25 thf(732,plain,(sP174 | ~(sP102)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(733,plain,(sP174 | ~(sP379)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(734,plain,(sP49 | ~(sP174)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(735,plain,(sP49 | sP64),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(736,plain,(sP17 | ~(sP49)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__8])). % 62.09/62.25 thf(737,plain,(sP607 | ~(sP17)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(738,plain,(sP607 | ~(sP137)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(739,plain,(sP395 | ~(sP607)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(740,plain,(sP395 | sP6),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(741,plain,(sP28 | ~(sP395)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__7])). % 62.09/62.25 thf(742,plain,(sP582 | ~(sP28)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(743,plain,(sP582 | ~(sP470)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(744,plain,(sP37 | ~(sP582)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(745,plain,(sP37 | sP446),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(746,plain,(sP310 | ~(sP37)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__6])). % 62.09/62.25 thf(747,plain,(sP232 | ~(sP310)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(748,plain,(sP232 | ~(sP12)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(749,plain,(sP267 | ~(sP232)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(750,plain,(sP267 | sP600),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(751,plain,(sP540 | ~(sP267)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__5])). % 62.09/62.25 thf(752,plain,(sP7 | ~(sP540)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(753,plain,(sP7 | ~(sP559)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(754,plain,(sP628 | ~(sP7)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(755,plain,(sP628 | sP219),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(756,plain,(sP295 | ~(sP628)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__4])). % 62.09/62.25 thf(757,plain,(sP514 | ~(sP295)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(758,plain,(sP514 | ~(sP178)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(759,plain,(sP615 | ~(sP514)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(760,plain,(sP615 | sP130),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(761,plain,(sP685 | ~(sP615)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__3])). % 62.09/62.25 thf(762,plain,(sP266 | ~(sP685)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(763,plain,(sP266 | ~(sP186)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(764,plain,(sP650 | ~(sP266)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(765,plain,(sP650 | sP384),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(766,plain,(sP688 | ~(sP650)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__2])). % 62.09/62.25 thf(767,plain,(sP555 | ~(sP688)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(768,plain,(sP555 | ~(sP723)),inference(prop_rule,[status(thm)],[])). % 62.09/62.25 thf(769,plain,(sP329 | ~(sP555)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__1])). % 62.09/62.25 thf(trans_axiom,axiom,sP454). % 62.09/62.25 thf(axiom1,axiom,(ivalid @ ((ior @ (iatom @ o11)) @ ((ior @ (iatom @ o12)) @ (iatom @ o13))))). % 62.09/62.25 thf(770,plain,sP606,inference(preprocess,[status(thm)],[axiom1]). % 62.09/62.25 thf(axiom2,axiom,(ivalid @ ((ior @ (iatom @ o21)) @ ((ior @ (iatom @ o22)) @ (iatom @ o23))))). % 62.09/62.25 thf(771,plain,sP373,inference(preprocess,[status(thm)],[axiom2]). % 62.09/62.25 thf(axiom3,axiom,(ivalid @ ((ior @ (iatom @ o31)) @ ((ior @ (iatom @ o32)) @ (iatom @ o33))))). % 62.09/62.25 thf(772,plain,sP690,inference(preprocess,[status(thm)],[axiom3]). % 62.09/62.25 thf(axiom4,axiom,(ivalid @ ((ior @ (iatom @ o41)) @ ((ior @ (iatom @ o42)) @ (iatom @ o43))))). % 62.09/62.25 thf(773,plain,sP1,inference(preprocess,[status(thm)],[axiom4]). % 62.09/62.25 thf(774,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,trans_axiom,770,771,772,773,h1])). % 62.09/62.25 thf(775,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[774,h0])). % 62.09/62.25 thf(0,theorem,sP329,inference(contra,[status(thm),contra(discharge,[h1])],[774,h1])). % 62.09/62.25 % SZS output end Proof %------------------------------------------------------------------------------